If the perimeter of the rectangle is 56m with length 18m the breadth is 10m
How to determine the breadth of the rectangle?You should know that the breath of the rectangle is the two shorter sides of the rectangle.
The perimeter of the rectangle is the distance round the rectangle
In every rectangle, there are 2 Lengths and 2 breadths
This implies that the perimeter is
P= L+B+L+B
P=2L+2B
This implies that
56=2(18)+2B
⇒56=36+2B
56-36=2B
20=2B
Making B the subject of the relation we have
B=20/2
B=10m
Therefore the breadth of the rectangle is 10m
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The retail cost of a computer is 37% more than its wholesale cost?which statement is true?1. THe retail cost of the computer is 132% more than the wholesale price.2. THe wholesale cost of the computer is 68% if the retail price.3. THe retail cost of the computer is 132% of the wholesale price.4. the retail cost of the computer is 37% of the wholesale price.
when retail cost of the computer is 37% of the wholesale price then Retail price is 1.37times wholesale price
Retailers who acquire products in bulk are subject to wholesale pricing.
Selling products at a greater price than what it costs to produce them allows businesses to turn a profit.
Retail pricing is what merchants decide to charge customers as their ultimate selling price.
Consumers are the primary focus of retail pricing.
According to the question,
The retail cost of a computer is 37% more than its wholesale cost
Let Retail cost be "x" and wholesale cost be "y"
So , x = y + 0.37y
=> x = 1.37y
Therefore , The retail price is 1.37times the wholesale price
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0. Mardo ordered 2 reclining chairs for $230 each and a coffee table for $350. The shipping cost is $100. Marco is going to pay off his bill in 5 equal payments. How much is each of Marco's payments?
The amount of each Marco's payments for the 2 reclining chairs, a coffee table including with shipping cost is found as $182.
Explain the division operation?Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. Creating equal groups or determining how many people belong to each group after a fair distribution is the basic objective of division.The data for the given question-
Mardo placed an order for a coffee table and two recliners for a total of $230 each. The price of shipping is $100. Marco will settle his debt in five equal payments.Thus, the total cost becomes-
Total cost = 2 x reclining chairs + coffee table + shipping cost
Total cost = 2 x 230 + 350 + 100
Total cost = $910
For the amount of each payment when there are 5 equal payments.
Total cost = 910/5
Total cost = $182
Thus, the amount of each Marco's payments for the 2 reclining chairs, a coffee table including with shipping cost is found as $182.
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choose the answer that best describes the statement. probality can be used to determine the likelihood of specific .
The statements best describe probability as the relative likelihood that an event will occur. It is a number between 0 and 1 inclusive.
Probability
A mathematical tool used to examine unpredictability is probability. It discusses the likelihood that an event will occur. For instance, you might not get two heads and two tails if you flip a fair coin four times. But if you flip the same coin 4,000 times, you'll get results that are almost evenly split between heads and tails. The theoretically predicted chance of heads in any given toss is 12, or.5. There is a predictable pattern of results when there are numerous repetitions, even though the results of a few repetitions are unknown. One of the authors tossed a coin 2,000 times after reading about the English statistician Karl Pearson, who threw a coin 24,000 times and got 12,012 heads. The outcome was 996 heads. The expected chance of 5 is quite near to being reached by the fraction of 9962,000, which is equivalent to 498.
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The formula P=2L+2W represents the perimeter of a rectangle. In this formula, L is the length of the rectangle and w is the width. Solve the formula for W
Answer: P/2 - L = W
Step-by-step explanation:
P = 2L + 2W. We are isolating W. Subtract 2L from both sides to isolate the term first
P - 2L = 2W. Divide by 2 on both sides to isolate W.
P/2 - L = W
expresa 1405 en base 7 a base 10
1405 in base 7 = 544 in base 10
What is base-7 number system ?
The heptimal system is another name for base-7 numbers. Base 7 numbers are represented by the digits 0, 1, 2, 3, 4, 5, and 6.
The digits of a Base 10 number, on the other hand, are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. If there isn't a subscript at the supplied number, Base 10 is used to write that number. The decimal system is sometimes known as base-10 numbers. Currently, in daily life, we frequently use numbers in the base 10 range.
base 7 to base 10 conversion:
Multiply each digits by the powers of 7 as follows:
Base 7 digits: 1 4 0 5
Multiply by: 7^3 7² 7^1 7^0
( 1*7^3) + (4*7² ) + (0* 7^1 )+ ( 5 * 7^0)
= 343 + 196 + 0 + 5
= 544
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93 is what percent of 124
Answer: 75%
Step-by-step explanation:
93 is 75 percent of 124.
Explained in the picture attached...
Hope that helps...
Use Figure 1 to evaluate the trigonometric function.
A right triangle with side a of length 13 opposite of angle A, and side b of length 6 opposite of angle B.136
Figure 1
Enter the exact answer.
tanB=
Change entry mode
Show your work and explain, in your own words, how you arrived at your answer. Answers with no relevant explanations may receive reduced or no credit.
third side, AB= 14.318 Units and tanB = 0.461
How to find the value of tanB and third side?given:
BC=13 units
AC=6 units
solution:
using pythagoras theorem, we get
AB² = BC² + AC²
AB² = 13² + 6²
AB² = 169 + 36
AB² = 205
AB = 14.318 units
tanB = side opposite/side adjacent
tanB = AC/BC
tanB = 6/13
tanB = 0.461
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Using Pythagoras theorem, Third side, AB= 14.318 Units and tanB = 0.461
What is the Pythagoras theorem theory?The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, a2 + b2, are equal to the squares on the legs.
How to find the value of tanB and third side?given:
BC=13 units
AC=6 units
solution:
using pythagoras theorem, we get
AB² = BC² + AC²
AB² = 13² + 6²
AB² = 169 + 36
AB² = 205
AB = 14.318 units
tanB = side opposite/side adjacent
tanB = AC/BC
tanB = 6/13
tanB = 0.461
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Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term.5, 6, 7, 8, ...
An expression which describe the given sequence is, an = -2 + n.
Arithmetic sequence states that a sequence where the difference between each successive pair of terms is the same.
What is the general formula for arithmetic sequence?an = -2 + n is an expression which describe the given sequence
The general rule for the arithmetic sequence is given by,
an = a + (n - 1)d ......[1]
where, denotes the initial word.
the common difference
there are n terms;
The given order is -1, 0, 1, 2,.....
This is a frequent difference arithmetic sequence.
Since,0-(-1) = 1
1-0 =1
2-1 = 1 ....
Here, a1 = -1
When you replace [1] with the value of d = 1, you get, a1 = -1
an = -1 + (n -1)(1)
an = -2 + n
Consequently, the following expression describes the given sequence: an = -2+n.
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s formula to find a quadratic approximation of at the origin. estimate the error in the approximation if and .
A quadratic equation of at the origin, estimate the error = 0.000859M
The approximation is valid because is very small.
Calculation of concentration:
Since
0.85 M 0 0
(0.85-x)M x x
Now the value of x should be
x = 0.0000229
So based on this, the above concentration should be determined.
In order to demonstrate that the same value of x may be achieved either way, you will now solve using the quadratic formula rather than iterations. What are the values of a, b, and c and x, where a, b, and c are the coefficients in the quadratic equation [tex]ax^{2} +bx+c=0[/tex] and x is [h3o+], when using the quadratic equation to determine [h3o+] in 0.00250 m hno2? Keep in mind that ka=4.5104.
a : 1
b : 4.5x[tex]10^{-4}[/tex]
c : 1.125x[tex]10^{-6}[/tex]
[[tex]H_{3} O^{+}[/tex]] = 0.000859M
As [tex]HNO_{2}[/tex] is a weak acid, its equilibrium in water is:
[tex]HNO_{2} (aq)+H_{2} O(I)[/tex] ⇄ [tex]H_{3} O^{+} (aq)+N_{2} O^{-} (aq)[/tex]
Equilibrium constant, ka, is defined as:
ka = 4.5x[tex]10^{-4}[/tex] = [[tex]H_{3} O^{+}[/tex]] [NO₂⁻] / [HNO₂] (Equation-1)
Equilibrium concentration of each specie are:
[HNO₂] = 0.00250M - x
[H₃O⁺] = x
[NO₂⁻] = x
Replacing in (1):
4.5x[tex]10^{-4}[/tex] = [tex]\frac{x*x}{0.00250M-x}[/tex]
1.125x10⁻⁶ - 4.5x10⁻⁴x = x²
0 = x² + 4.5x10⁻⁴x - 1.125x10⁻⁶
As the quadratic equation is ax² + bx + c = 0
Coefficients are:
a: 1
b: 4.5x10⁻⁴
c: 1.125x10⁻⁶
Now, solving quadratic equation:
x = -0.0013 → False answer, there is no negative concentrations.
x = 0.000859
As [H₃O⁺] = x; [H₃O⁺] = 0.000859M
Therefore,
A quadratic equation of at the origin, estimate the error = 0.000859M
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Check the binomial distribution to see whether it can be approximated by the normal distribution. Round p and q to 1 decimal place, as needed. n = 95 P = 0.96 9 -0.04 np - and ng Is a normal approximation appropriate ? Yes No
As per the binomial distribution, the value of the normal approximation is 0.6573
The term binomial distribution refers the discrete probability distribution that gives only two possible results in an experiment, either success or failure.
Here we have given that n = 95 P = 0.96 and q = 0.04
Now, here we have to check the binomial distribution to see whether it can be approximated by the normal distribution.
While we looking into the given question we know that the value of n = 95 P = 0.96.
Then as per the binomial distribution formula, the normal distribution is calculated as,
=> P(X=1) = 95C4 * (0.96)⁴ * (1-0.96)⁹⁵⁻⁴
When we simplify this one then we get the value as 0.6573
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in 2001, progressive insurance asked cus- tomers who had been involved in auto accidents how far they were from home when the accident happened. the data are summarized in the table.
We get the following answers;
(a) The necessary histogram has been created and is supplied below.
(b) According to the data, it is indeed dangerous to drive close to home. Because 23% and 29% of accidents occur within 1 to 5 miles of home, respectively.
Step 1: in 2001, progressive insurance asked customers who had been involved in auto accidents how far they were from home when the accident happened. the data are summarized in the table.
Step 2:
Table :
Miles from home % of accidents Cumulative
Less than 1 23 23
1 to 5 29 52
6 to 10 17 69
11 to 15 8 77
16 to 20 6 83
over 20 17 100
(a) the required histogram is made and attached below.
(b) Yes, the data indicates that driving near home is particularly dangerous. Because, less than , 1 to 5 miles from home 23%, 29% of accidents.
Hence we get the required answers.
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A line is graphed on the coordinate grid to the right.
Which equation describes the line?
A.y=x/2+1/3
B.y = x/3+1/2
C.y=x/2+15 1/2
D.y=x/3+15 1/2
The equation of the line would be y = x/3 + 1/2.
Option (B) is correct.
What is the slope-intercept form of the line?
The slope-intercept equation is used to find the general equation of a straight line using its slope and the point where it intersects the y-axis. The slope intercept form equation is given as, y = mx + b.
As we can see in the graph the line cuts the y-axis at y = 1/2
so the y-intercept of the line would be c = 1/2.
And when x=4, y = 2
So we can prepare the equation as y = x/3 + 1/2.
Hence, the equation of the line would be y = x/3 + 1/2.
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The equation of the line would be y = x/3 + 1/2.
Option (B) is correct.
What is the slope-intercept form of the line?
The slope-intercept equation is used to find the general equation of a straight line using its slope and the point where it intersects the y-axis. The slope intercept form equation is given as, y = mx + b.
As we can see in the graph the line cuts the y-axis at y = 1/2
so the y-intercept of the line would be c = 1/2.
And when x=4, y = 2
So we can prepare the equation as y = x/3 + 1/2.
Hence, the equation of the line would be y = x/3 + 1/2.
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whats the domain,range, and y-intercept and tell me if its exponential or linear.
k(x)=50(1.3)^x
0.3% is the percentage rate of increase in exponential function.
What exactly makes a function exponential?
A mathematical function using the following formula is an exponential function: f (x) = an x. where an is a constant known as the function's base and x is a variable.
The transcendental number e, or roughly 2.71828, is the most often encountered exponential-function base.
We have,
y = 50( 1.3)ˣ
The equation represents exponential growth because the growth factor is greater than 1.
The general form equation is
y(x)= a(1-r)^x such that r is the growth percent.
1 + r = 1.3
r = 0.3 ⇒ 0.3%
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The parabola of y= has a vertex of (3, - 2) and a focus of (3, - 2 1/16) opens downward
The equation of the parabola is y = -1/4 x² + 3/2 x - 17/4. Where the vertex of the equation is at (3, -2) and the focus is at (3, -2 2/16) that opens downwards.
What is the equation of a parabola?The equation of the parabola with vertex at (h, k) is
y = a(x - h)² + k
The focus of the parabola is represented by (h, k + 1/4 a).
Calculation:It is given that, the vertex of the parabola is (h, k) = (3, -2)
And the focus of the parabola is (h, k + 1/4 a) = (3, -2 1/16)
From the focus point, we can calculate the value of 'a'.
(h, k + 1/4 a) = (3, -2 1/16)
⇒ k + 1/4 a = -2 1/16 = -33/16
⇒ -2 + 1/4 a = -33/16
⇒ 1/4 a = -33/16 + 2
⇒ 1/4 a = -1/16
⇒ a = -1/16 × 4
∴ a = -1/4
Since a is negative the parabola is downwards.
Now, the equation of the parabola is
y = a(x - h)² + k
On substituting the values, we get
y = -1/4(x - 3)² - 2
= -1/4(x² - 6x + 9) - 2
= -1/4 x² + 3/2 x -9/4 - 2
= -1/4 x² + 3/2 x - 17/4
Therefore, the equation of the parabola is y = -1/4 x² + 3/2 x - 17/4.
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Solve each equation. Round to the nearest ten-thousandth.
17(0.3x+5)
Answer:
first option
Step-by-step explanation:
using the property of logarithms
ln [tex]x^{n}[/tex] = nlnx ( ln is the natural logarithm )
given
[tex]17^{(0.3x+5)}[/tex] = 12
take the ln of both sides
ln [tex]17^{(0.3x+5)}[/tex] = ln 12 , then
(0.3x + 5) ln 17 = ln 12 ( divide both sides by ln 17 )
0.3x + 5 = [tex]\frac{ln12}{ln17}[/tex] ≈ 0.877063 ( subtract 5 from both sides )
0.3x ≈ - 4.12293 ( divide both sides by 0.3 )
x = [tex]\frac{-4.12293}{0.3}[/tex] ≈ - 13.7431 ( to the nearest ten thousandth )
in the morning there were t people at the beach. later at noon, 2/7 of the people left the beach and there were 30 people left on the beach. find t
Answer:
42
Step-by-step explanation:
If 2/7 left that means that 5/7 are still there.
5/7x = 30 Multiple both sides by 7/5
x = [tex]\frac{30}{1}[/tex] x [tex]\frac{7}{5}[/tex]
x = 42
3. What type of angle is angle A?
obtuse
acute
right
straight
The angle A is an obtuse angle of the regular polygon.
What is an angle?
An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.
The interior angle of a polygon is [(n-2)180°]/n.
Where n is the number of sides of the polygon.
The number of sides of the polygon is 8.
The measure of the interior of the polygon is [(8-2)180°]/8
= 135°
The obtuse angle is an angle that more than 90°.
Therefore angle is an obtuse angle.
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Status
Review
A certain state uses the following progressive
tax rate for calculating individual income tax:
Income
Range ($)
0 - 10,000
10,001 - 50,000
50,001 - 100,000
Progressive
Tax Rate
3%
5%
5.5%
Calculate the state income tax owed on a $50,000
per year salary.
tax = $[?]
Round your answer to the nearest whole dollar amount.
Enter
h
Answer:
final answer would be $6,550
Step-by-step explanation:
To calculate the state income tax owed on a $50,000 per year salary, we can use the progressive tax rate provided in the question. We can divide the salary into three ranges, corresponding to the three tax rates:
Income Range: $0 - $10,000
Progressive Tax Rate: 3%
Tax Owed: $0 - $10,000 * 3% = $0 - $300
Income Range: $10,001 - $50,000
Progressive Tax Rate: 5%
Tax Owed: $10,001 - $50,000 * 5% = $500 - $2,500
Income Range: $50,001 - $100,000
Progressive Tax Rate: 5.5%
Tax Owed: $50,001 - $100,000 * 5.5% = $2,750 - $5,500
Thus, the total state income tax owed on a $50,000 per year salary would be $300 + $2,500 + $2,750 = $6,550. This amount should be rounded to the nearest whole dollar amount, so the final answer would be $6,550.
PLEASE HELP ME ITS TIMED!!!
Answer: The coefficient of the term with t^3 and q^14 in the expansion of (3t - q)^17 is 816 / 3.
Step-by-step explanation: The coefficient of the term with a certain power of t and a certain power of q in the expansion of a binomial raised to a power can be found using the binomial formula. The formula is given by:
Copy code
(a + b)^n = sum_{k=0}^n choose(n, k) * a^(n-k) * b^k
In this case, we have a = 3t, b = -q, and n = 17. We want to find the coefficient of the term with t^3 and q^14, which means we need to find the coefficient of the term with a^(n-k) = t^3 and b^k = q^14. Plugging these values into the formula, we get:
Copy code
(3t - q)^17 = sum_{k=0}^17 choose(17, k) * 3^(17-k) * (-1)^k * t^(17-k) * q^k
To find the coefficient of the term with t^3 and q^14, we need to find the value of choose(17, k) for k = 3. The binomial coefficient choose(n, k) is equal to the number of ways to choose k items from a set of n items. It can be calculated using the formula:
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choose(n, k) = n! / (k! * (n-k)!)
where n! is the factorial of n, which is the product of all positive integers less than or equal to n. For example, 5! = 5 * 4 * 3 * 2 * 1 = 120.
In our case, we have n = 17 and k = 3, so the coefficient we are looking for is:
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choose(17, 3) = 17! / (3! * (17-3)!) = 17 * 16 * 15 * 14 * 13 * 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 / (3 * 2 * 1 * 14 * 13 * 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) = 17 * 16 / 3 = 816 / 3
Therefore, the coefficient of the term with t^3 and q^14 in the expansion of (3t - q)^17 is 816 / 3.
Find the least common denominator of these fractions.
3/8 5/18
Answer: 72
Step-by-step explanation
Let's just look at the denominators for this problem.
8 and 18
8 can go into 24, 3 times but 18 does not multiply into 24
18 can go into 36, 2 times but 8 does not multiply into 36
Therefore 72 is the least common denominator.
8 times 9 = 72
18 times 4 = 72
72 is the least common denominator.
A man is in a boat 2 miles from the nearest point on the coast. He is to go to point Q, located 3 miles down the coast and 1 mile inland (see figure). He can row at a rate of 1 mile per hour and walk at 3 miles per hour. Toward what point on the coast should he row in order to reach point Q in the least time? (Round your answer to two decimal places.) 0.84 mile(s) down the coast
Least time required to reach the point Q as per the distance and the speed rate is equal to 2 hours.
As given in the question,
Nearest point on the coast is 2 miles far away
rate of the row = 1mile per hour
Walk at the rate of 3 miles per hour
Let 'x' hours be the least time to reach point Q.
Time = distance / speed
Time taken to reach the point Q = [√ 1 + ( 3 - x)² ]/ 3
Time taken to reach the coast = (√ 4 + x² ) / 1
Total time taken 't' = (√ 4 + x² ) / 1 + [√ 1 + ( 3 - x)² ]/ 3
To find least time dt/dx = 0
t = (√ 4 + x² ) / 1 + [√ 1 + ( 3 - x)² ]/ 3
⇒dt/dx = [ x / √ 4 + x² ] + ( 3 - x) / √( 10 -6x + x² )
⇒x / √ 4 + x² = ( x - 3) / √( 10 -6x + x² )
Squaring both the side we get,
x² / (4 + x²) = ( x - 3)² / ( 10 -6x + x² )
⇒3x² -24x +36 =0
⇒ x² -8x + 12 = 0
⇒ x = 2 or 6 hours
Therefore , the least time taken to reach the point Q is equal to 2 hours.
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A recipe for a sports drink calls for 5/8 cup of powder for every 2 quarts of water. If Dionne uses 3 quarts of water, how many cups of powder are needed?
Answer: i think 15/8 but, im not sure
Step-by-step explanation:
Amy and three friends are renting a house near the campas for $2400 per month. She plays 1/4 of the rent. What is her monthly rent?
Answer:
Amy has to pay $600 every month for rent.
Step-by-step explanation:
To take 1/4 of a number is to multiply 1/4 and said number.
So you can do 0.25*number
or number/4.
For this problem, the number is 2400 because Amy is going to pay 1/4 of 2400 for rent.
[tex]rent = 2400/4\\rent = 600[/tex]
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Can I get some help with this?
The equations that represent given problem is
P + S = 384 and 2.50P + 1.25S = 696.25.
What is an equation?
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
Given that the cost of 1 slice pizza is $2.50.
The cost of 1 bottle can of soda is $1.25.
In total sell for a day is 384.
Assume that you sell P slice of pizza and S number of soda bottle.
Thus your total sell is P + S.
Therefore, P + S = 384.
The cost 1 slice pizza is $2.50
Then the cost P slice of pizza is $2.50P.
The unit rate of soda bottle is $1.25.
Then the cost S bottles of soda is $1.25S.
Therefore the total sell for that day is 2.50P + 1.25S
2.50P + 1.25S = 696.25
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Point B is located at
(-3,0)
(3,0)
(0,3)
(0,-3)
Answer:
(3,0)
have a nice day.(I needed 20 charecters so yeah i needed to say this)
Answer:
(3,0)
Step-by-step explanation:
The first number in the ordered pair tells us how far we are from the orgina (0,0) (the middle of the graph). We are 3 units to the right. The second number in the ordered pair tells us how far up or down from (0,0) we are. You do not go up for down so that number should be zero.
Which quantity is multiplied by pi in the formula for the area of a circle?
The quantity that is multiplied by pi in the formula for the area of a circle is the square of the radius
How to determine the multiplied quantity?From the question, we have the following parameters that can be used in our computation:
Area of a circle
The formula for the area of a circle is represented as
A = πr²
Express the formula as a product
So, we have the following representation
A = π * r²
In the above formula, we can see that the square of r is multiplied by pi
Hence, the required quantity is the square of the radius of the circle
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MULTIPLE CHOICE Question 2 Look at the drawing below. Which of the following statements, if true, would alone prove pllq? Select all that apply. There are at least two correct answers.
Answer:
no c is right answer
Step-by-step explanation:
angle b and e should be supplementary
Answer:
A, B and C
Step-by-step explanation:
Statement A
According to the Alternate Exterior Angles Theorem, when a transversal line intersects two parallel lines, the resulting alternate exterior angles are congruent.
Given ∠c ≅ ∠f, and as ∠c and ∠f are alternate exterior angles, then p ║ q.
Statement B
According to the Corresponding Angles Postulate, when a straight line intersects two parallel straight lines, the resulting corresponding angles are congruent.
GIven ∠d ≅ ∠g, and as ∠d and ∠g are corresponding angles, then p ║ q.
Statement C
According to the Same-side Interior Angles Theorem, when two parallel lines are intersected by a transversal, the angles that are interior to the parallel lines and on the same side of the transversal line are supplementary.
Given ∠b and ∠e are supplementary, and as ∠b and ∠e are the interior angles on the same side of the transversal [tex]\ell[/tex], then p ║ q.
Statement D
∠f and ∠g are a linear pair, therefore ∠f and ∠g are supplementary. However, this does not given enough information to prove p ║ q.
Find the area of a rectangle with the sides of x+7 and 3x-4
The area of a rectangle with the sides of x+7 and 3x-4 is 3x² + 17x - 28.
Define area of rectangle.Any shape's area can be calculated by counting how many unit squares will fit inside of it. A square with a side of 1 unit is referred to as a unit square in this context. Therefore, the quantity of unit squares that make up a rectangle's perimeter is its area. Alternately, the area of the rectangle is the area contained within the boundary of this shape. The unit-length tiles in your home are a good illustration of a rectangle form. By counting the number of tiles, you can quickly determine how much space the floor takes up. This will also enable you to calculate the rectangle floor's area.
Given
Sides = x+7 and 3x-4
Area of rectangle
Length ×Breadth
(x + 7) (3x - 4)
Multiplying,
x(3x - 4) + 7(3x - 4)
3x² - 4x + 21x - 28
3x² + 17x - 28
The area of a rectangle with the sides of x+7 and 3x-4 is 3x² + 17x - 28.
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the height of one tampa city center is 537 feet. convert 537 feet to meters by finding an equivalent rate. round to the nearest tenth
The equivalent rate is 163.7 meters.
What is an equivalent rate?
Equivalent rates are different rates that have the same value. Similar to finding equivalent ratios, you may find an equivalent rate by multiplying or dividing the numerator and denominator by the same number.
Here, we have
Given: the height of one Tampa city center is 537 feet.
We have to convert 537 feet to meters by finding an equivalent rate.
1 feet = 0.3048 meter
So, 537 feet = 537 × 0.3048 = 163.7 meters.
Hence, the equivalent rate is 163.7 meters.
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Answer:
Hence, on a number line,-12 lies to the left of Zero.
Step-by-step explanation:
On a number line, zero lies exactly at the middle of the number line.Left to the zero, negative number lies and right to the zero, positive number lies.
Give expressions for the following:-
1) x is multiplied by -10 and then 5 is added to the result
2) 5 is multiplied by p and the result is subtracted from 26
3)y is multiplied by -5 and the result is added to 6
Answer:
1) -10x + 5
2) 5p - 26
3) -5y + 6
