Answers
Answer:
Surface Area = 85.75 ft²
Step-by-step explanation:
Surface area of pyramid = ½(Perimeter of triangular base * slant height of pyramid) + Area of triangular base
Perimeter of triangular base = sum of all sides of the triangular base = 5+5+5 = 15 ft
Slant height of pyramid = 10 ft
Area of triangular base = ½*base of triangle*height of triangle = ½*5*4.3 = 10.75 ft²
Plug in the above values:
Surface Area = ½(15*10) + 10.75
= (15*5) + 10.75
= 75 + 10.75
Surface Area = 85.75 ft²
Related Questions
Puzzle corner
Look Before You Leap!
See how long it takes you to work out the
following:
(1 x2)×(3 x 4)×(586)×(7 x 8) x (
9×0)
Answers
Answer:
0
Step-by-step explanation:
Notice that the last factor is null (9×0)
So the result will be null since any number that is multiplied by 0 equals 0.
The perimeter of an isosceles triangle is 32 inches. If the base is longer than half of the two other equal sides by 2 inches, find the length of all sides of this triangle.
Write as a equation.
Answers
Answer:
Step-by-step explanation:
Let equal sides of an isosceles triangle = a inches
Base = [tex]\frac{1}{2}a+2[/tex] inches
Perimeter = 32 inches
a + a + [tex]\frac{1}{2}a+2[/tex] = 32
[tex]2a + \frac{1}{2}a+2 = 32\\\\\frac{2a*2}{1*2}+\frac{1}{2}a+2=32\\\\\frac{4a}{2}+\frac{1}{2}a+2=32\\\\\frac{5}{2}a+2 = 32\\\\[/tex]
Subtract 2 from both sides
[tex]\frac{5}{2}a=32-2\\\\\frac{5}{2}a=30\\\\a=30*\frac{2}{5}\\\\a=6*2[/tex]
a = 12 inches
base = [tex]\frac{1}{2}*12+2[/tex]
= 6 + 2
Base = 8 inches
Find the square root of 2601 by prime factorization (USE MULTIPLICATION METHOD TO SOLVE THE ABOVE QUESTION)
Answers
2601|3
867|3
289|17
17|17
1
[tex]\sqrt{2601}=\sqrt{3^2\cdot17^2}=3\cdot17=51[/tex]
On a coordinate plane, a triangle has points (negative 5, 1), (2, 1), (2, negative 1).
Use the drop downs to answer the following questions about the distance between the points (−5, 1) and (2, −1).
What is the distance of the horizontal leg?
What is the distance of the vertical leg?
Use the Pythagorean theorem. What is the distance between the two points?
Answers
Answer:
The answer is below
Step-by-step explanation:
The points of the triangle are (- 5, 1), (2, 1), (2, - 1). The distance between two points is given by:
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The horizontal leg is formed by points with the same y axis. Therefore the points that make up the horizontal leg is (- 5, 1), (2, 1). The Distance of the horizontal leg is:
[tex]Horizontal\ leg=\sqrt{(2-(-5))^2+(1-1)^2}=\sqrt{7^2+0}=7\ units[/tex]
The vertical leg is formed by points with the same x axis. Therefore the points that make up the vertical leg is (2 1), (2, 1-). The Distance of the vertical leg is:
[tex]Vertical\ leg=\sqrt{(2-2)^2+(-1-1)^2}=\sqrt{0+(-2)^2}=2\ units[/tex]
The hypotenuse is gotten using Pythagorean theorem. It is gotten by:
Hypotenuse² = (Horizontal leg)² + (Vertical leg)²
Hypotenuse² = 7² + 2²
Hypotenuse² = 49 + 4 = 53
Hypotenuse = √53
Hypotenuse = 7.28 unit
Answer:
The answer are 7, 2 and 53
Step-by-step explanation:
Brian invested his savings in two investment funds. The $8000 that he invested in Fund A returned a 4% profit. The amount that he invested in Fund B returned a 1% profit. How much did he invest in Fund B, if both funds together returned a 2% profit?
Answers
Answer: Brian invested $16000 in Fund B .
Step-by-step explanation:
Let x be the amount Brian invested in Fund B.
Given, The $8000 that he invested in Fund A returned a 4% profit. The amount that he invested in Fund B returned a 1% profit.
i.e. profit on Fund A = 4% of 8000 = 0.04 ×8000 = $320
Profit on Fund B = 1% of x = 0.01x
Together they earn 1% profit, i.e. Combined profit = 2% of (8000+x)
= 0.02(8000+x)
As per question,
Combined profit=Profit on Fund A+Profit on Fund B
[tex]\Rightarrow\ 0.02(8000+x) =320+0.01x\\\\\Rightarrow\ 0.02(8000) +0.02x=320+0.01x\\\\\Rightarrow\ 160+0.02x=320+0.01x\\\\\Rightarrow\ 0.02x-0.01x=320-160\\\\\Rightarrow\ 0.01x=160\\\\\Rightarrow\ x=\dfrac{160}{0.01}\\\\\Rightarrow\ x=16000[/tex]
Hence, Brian invested $16000 in Fund B .
draw the graph of linear equation 5y = 3x + 18 on a cartesian plane. From the graph check weather (-2,4) is the solution of the linear equation or not PLS URGENT ANSWER
Answers
Answer:
The point (-2, 4) is not a solution of the linear equation, 5·y = 3·x + 18
Please find attached the required graph of the linear equation 5·y = 3·x + 18 written in the form y = 3/5·x + 18/5
Step-by-step explanation:
The given equation is 5·y = 3·x + 18, from which we have;
y = 3/5·x + 18/5
To draw the graph, we generate for vales of y corresponding to values of x as follows;
x, y
-6, 0
-5, 0.6
-4, 1.2
-3, 1.8
-2, 2.4
-1, 3
0, 3.6
1, 4.2
2, 4.8
3, 5.4
4, 6
5, 6.6
6, 7.2
7, 7.8
8, 8.4
9, 9
10, 9.6
11, 10.2
12, 10.8
13, 11.4
14, 12
15, 12.6
16, 13.2
Therefore, when y = 0, x = -6, when x = 0, y = 3.6, when x = -2, y = 2.4, when y = 4, x = -2, x = 6
Therefore, the point (-2, 4) is not a solution of the linear equation, 5·y = 3·x + 18
what is meaning of rate?
Answers
Answer:
1.a measure, quantity, or frequency, typically one measured against another quantity or measure.
Step-by-step explanation:
2.a fixed price paid or charged for something.
Answer:
a measure, quantity, or frequency typically one measured against another quantity or measure.
Assign a standard or value to (something) according to a particular scale.761.8 x 10^-8 Express the number in scientific notation. A) 7.618 x 10^-6 B) 7.618 x 10^-8 C) 7.618 x 10^2 D) 7.618 x 10^6
Answers
Answer:
[tex]\huge\boxed{A)\ 7.618\times10^{-6}}[/tex]
Step-by-step explanation:
The scientific notation:
[tex]a\cdot10^n[/tex]
where
[tex]1\leq a<10;\ n\in\mathbb{Z}[/tex]
We have
[tex]761.8\times10^{-8}[/tex]
We need to move the decimal point two places to the left.
[tex]\underbrace{(7.618\times10^2)}_{=761.8}\times10^{-8}=7.618\times(10^2\times10^{-8})[/tex]
use
[tex]a^n\cdot a^m=a^{n+m}[/tex]
[tex]=7.618\times10^{2+(-8)}=7.618\times10^{-6}[/tex]
Answer:
a
Step-by-step explanation:
Dawn and Jackson have baseball cards in the ratio of 2:3. Together, they have a total of 60 baseball cards. How many baseball cards does each child have?
Answers
Answer:
24 and 36
Step-by-step explanation:
2x + 3x = 60
5x = 60
x = 12
Dawn has 2(12) = 24
Jackson has 3(12) = 36
Step-by-step explanation:
To find the number of baseball cards each person received we must first find the total parts
That's
2 + 3 = 5
For Dawn
Dawn's part is 2
We have
2/5 × 60
= 24 baseball cardsFor Jackson
Jackson's part is 3
That's
3/5 × 60
= 36 baseball cardsHope this helps you
PLEASE HELP ME WORTH 20 POINTS It looks like the graph of the parents function f(x)x^2. However:
- It has been reflected (flipped) over the x-axis
-It has been shifted down 4 units.
-It had been shifted left 1 unit
Step 1: Start with the equation f(x) = x2. Write the equation for the graph of g(x) that has been reflected, or flipped, over the x-axis.
Step 2: Use the equation you wrote in Step 1. Write the equation for the graph of g(x) that has also been shifted down 4 units.
Step 3: Use the equation you wrote in Step 2. Write the equation for the graph of g(x) that has also been shifted left 1 unit.
Answers
flipped : [tex]-x^2[/tex]
moving down: [tex] -x^2+4[/tex]
shifting left [tex] -(x+1)^2+4[/tex]
expanding it: [tex] -x^2-2x+3[/tex]
Answer:
1. f(x)=x^2
f(x)=-x^2
2. f(x)=-x^2-4
3. f(x)=-(x+1)^2-4
The amounts of time per workout an athlete uses a stairclimber are normally distributed, with a mean of minutes and a standard deviation of minutes. Find the probability that a randomly selected athlete uses a stairclimber for (a) less than minutes, (b) between and minutes, and (c) more than minutes. (a) The probability that a randomly selected athlete uses a stairclimber for less than minutes is nothing. (Round to four decimal places as needed.) (b) The probability that a randomly selected athlete uses a stairclimber between and minutes is nothing. (Round to four decimal places as needed.) (c) The probability that a randomly selected athlete uses a stairclimber for more than minutes is nothing.
Answers
Answer:
Step-by-step explanation:
Let S be the sample space, n(S) = 60
a) Let A be the event that the selected athlete uses
s less than a minute, n(A) = 59
The probability that a randomly selected athlete uses less a minute, P(A) = n(A)/n(S) = 59/60 = 0.9833
b) 1 - 0.9833 = 0.0167
c) 1 - 1 = 0
Will Give Brainliest, Answer ASAP m∠O =
m∠N =
Answers
Answer:
∠ O = 61°, ∠ N = 119°
Step-by-step explanation:
In a parallelogram
Consecutive angles are supplementary
Opposite angles are congruent, thus
x + 2x - 3 = 180
3x - 3 = 180 ( add 3 to both sides )
3x = 183 ( divide both sides by 3 )
x = 61°
Thus
∠ O = ∠ M = x = 61°
∠ N = ∠ P = 2x - 3 = 2(61) - 3 = 122 - 3 = 119°
Julio wants to solve the system shown using the elimination method. Which is the best way to begin?
(x - 12y = 2
-4x + 7y = 12
Add the equations
b. Multiply each term in x - 12y = 2 by 4 and add it to the other original equation.
This system of equations has no solution, so Julio should not do anything.
d. Multiply each term in x - 12y = 2 by 4 and add it to the other original equation.
c.
Answers
Answer:
B. Multiply each term in x - 12y = 2 by 4 and add it to the other original equation.
Step-by-step explanation:
The expression are two linear equation and can be solved simultaneously
[tex]x - 12y = 2------------------1[/tex]
[tex]-4x + 7y = 12----------------------2[/tex]
1. we need to multiply each term in eqn 1 by 4 and add it to the other
original equation(2).
[tex]4x - 48y = 8----------------3\\-4x + 7y = 12---------------2\\\\[/tex]
Adding both 3 and 2 we have
[tex]4x - 48y = 8----------------3\\-4x + 7y = 12---------------2\\\\\\[/tex]
2. once we have gotten the value of y
we then substitute it in any of the equations to solve for x
Which number line represents the solution set for the inequality –negative StartFraction one-half EndFraction x is greater than or equal to 4.x ≥ 4?
A number line from negative 10 to 10 in increments of 2. A point is at negative 2 and a bold line starts at negative 2 and is pointing to the left.
A number line from negative 10 to 10 in increments of 2. A point is at negative 8 and a bold line starts at negative 8 and is pointing to the left.
A number line from negative 10 to 10 in increments of 2. A point is at negative 2 and a bold line starts at negative 2 and is pointing to the right.
A number line from negative 10 to 10 in increments of 2. A point is at negative 8 and a bold line starts at negative 8 and is pointing to the right.
Answers
Answer:
it's b :)
Step-by-step explanation:
A number line which represents the solution set for the given inequality is: option B.
What is a number line?A number line refers to a type of graph with a graduated straight line which contains numerical values (both positive and negative numbers) that are placed at equal intervals along its length.
Next, we would solve the given inequality:
-½x ≥ 4
-x ≥ 4 × 2
x ≤ -8.
Therefore, a number line which represents the solution set for the given inequality is a number line from -10 to 10 in increments of 2 with a point at -8 and a bold line starts at -8 while pointing to the left.
Read more on number line here: brainly.com/question/24644930
#SPJ9
Maria has eight black marbles, fourteen clear marbles, and twelve blue marbles in a bag. If she picks two marbles at random, without replacement, what is the probability that she will select a blue marble first, then a clear marble?
Answers
Answer:
[tex]\boxed{0.15}[/tex]
Step-by-step explanation:
Part 1: Solve for the total amount of marbles
To solve for the probability of certain events, a population is needed to derive this information from. In order to find this population, add up the amounts of each marble.
8 + 14 + 12 = 34 marbles
Part 2: Determine the probabilities
Now, given the amounts of marbles, simply multiply the ratios of blue marbles to total marbles and the ratio of clear marbles to total marbles to get the combined probability.
[tex]\frac{12}{34}*\frac{14}{33} = \frac{28}{187} \approxeq 0.1497 \approxeq 0.15 * 100 = 15[/tex]
The probability of these events occurring simultaneously is 15%.
Given f(x) = 2x - 7, complete parts (a) through (c).
A. Solve f(x)=0.
B. What do the answers to parts (a) and (b) tell you about the graph of y=f(x)
Answers
Answer:
a) x=7/2
Step-by-step explanation:
a) since f(x) is=0, plug in 0 to → f(x)=2x-7 [this f(x)]. you would get 0=2x-7. solve for x by adding 7 and dividing by 2 which you get x=7/2.
Then value of [tex]x[/tex] is 7/2
What is function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input . Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters. The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved. Co-domain is the set of values that have the potential of coming out as outputs of a function.
given function:
[tex]f(x)[/tex]= 2[tex]x[/tex] -7
So,[tex]f(x)[/tex]= 0
2[tex]x[/tex] -7=0
2[tex]x[/tex]= 7
[tex]x[/tex]= 7/2
The graph is attached below.
Learn more about function here:
https://brainly.com/question/12431044
#SPJ2
can u help me with this?
Answers
Answer: Yes. The sales tax is 5% which equals $4.20 for $84
Step-by-step explanation:
[tex]\dfrac{0.60}{12}=0.05\qquad \rightarrow 5\%\\\\\\\dfrac{1.20}{24}=0.05\qquad \rightarrow 5\%\\\\\\\dfrac{1.80}{36}=0.05\qquad \rightarrow 5\%\\\\\\\dfrac{2.40}{48}=0.05\qquad \rightarrow 5\%[/tex]
The sales tax rate is proportional for the values in the table.
$84 x 0.05 = $4.20
The sales tax on a purchase of $84 is $4.20
This bag has an unknown number of lollipops and jelly snakes in it. I know that Pr (jelly snake) = 4/5. How many jelly snakes could I have in the bag, if I know I have over 10 lollies total?
Answers
Answer:
40.
Step-by-step explanation:
Let J represent jelly snake.
Let L represent lollipops
Let S represent sample space
Let y represent the number of jelly snake in the bag. I.e
Number of J = y
Number of L = 10
Number of S = 10 + y
From the question given, we were told that the probability of jelly snake P(J) is 4/5.
But probability of jelly snake, P(J) is given by:
P(J) = nJ/nS
nJ = y
nS = 10 + y
P(J) = 4/5
Thu, we can obtain the number jelly snake, y, in the bag as follow:
P(J) = nJ/nS
4/5 = y/(10 + y)
Cross multiply
5y = 4(10 + y)
Clear bracket
5y = 40 + 4y
Collect like terms
5y – 4y = 40
y = 40
Therefore, the number of jelly snake in the bag is 40
type the correct answer in the box. use numerals instead of words. what value of x makes this equation true? x/6 - 7 = -4
Answers
[tex]\dfrac{x}{6}-7=-4\\\dfrac{x}{6}=3\\x=18[/tex]
Answer:
x = 18
Step-by-step explanation:
x/6 - 7 = -4
Add 7 to each side
x/6 - 7+7 = -4+7
x/6 = 3
Multiply each side by 6
x/6 *6 = 3*6
x = 18
88 feet/second = 60 miles/hour. How many feet per second is 1 mile/hour?
Answers
Answer:
1.46666666667 feet per second
Step-by-step explanation:
60 miles per hour = 88 feet per second
=> 60/60 miles per hour = 88/60 feet per second
=> 1 mile per hour = 1.46666666667 feet per second
PLS HELP. i really need this fast ill give brainliest too
Answers
Answer:
24 square units
Step-by-step explanation:
Use the formula for area of a parallelogram to solve. The base is 6 units, and the height is 4 units.
A = bh
A = (6)(4)
A = 24 square units
The area of the parallelogram is 24 square units.
On a coordinate plane, a piecewise function has 3 lines. The first line has an open circle at (negative 9, negative 2), continues horizontally at y = negative 2, then has an open circle at (0, negative 2). The second line has an open circle at (0, 1), continues up with a positive slope, then has an open circle at (4, 9). The third line has an open circle at (4, negative 2), continues down with a negative slope, then has an open circle at (8, negative 4).
What is the domain indicated on the graph for each
Answers
Answer: D: x = (-9, 0) U (0, 4) U (4, 8)
Step-by-step explanation:
Line 1: y = -2 where -9 < x < 0
Line 2: y = 2)x + 1 where 0 < x < 4
Line 3: y = -(1/2)x + 6 where 4 < x < 8
Domain represents the x-values. Since all of them are open dots, the intervals are strictly less than (<).
-9 < x < 0 and 0 < x < 4 and 4 < x < 8 is the union of these intervals
-9 < x < 0 U 0 < x < 4 U 4 < x < 8
Interval Notation: D: x = (-9, 0) U (0, 4) U (4, 8)
Answer:
1st piece:
✔ –10 < x < 0
2nd piece:
✔ 0 < x < 4
3rd piece:
✔ 4 < x < 8
Step-by-step explanation:
PLS HELP I REALLY NEED IT
Answers
Answer:
x=9
Step-by-step explanation:
<B = <E from the concurrency statement
5x = 45
Divide by 5
5x/5 = 45/5
x = 9
Answer:
Hey there!
These are similar triangles, and similar triangles have congruent angles.
Thus, we have 5x=45
Simplifying, we have x=9
Let me know if this helps :)
WILL MARK BRAINLIEST FOR CORRECT ANSWER. <3 <3 The area of the following rectangle is 24 square units. A. Write an equation that can be used to find the value of n. B. Solve the equation to find the value of n. In your answer, show all of your work.
Answers
Because area is multiplication lets multiply the sides and make an equation:
A 2(n-3) = 24
n-3=(12)
B n= 15
15-3 = 12
12 x 2 = 24
Answer:
2(n-3)=24
n=15
Step-by-step explanation:
2(n-3)=24
2n-6=24
2n=30
n=15
Find the mode for the data set 18 24 24 24 25 37 37 46
Answers
Answer:
the mode would be 24
Step-by-step explanation:
it is what numbers appears most often
The numbers in the select boxes are 4 7 and 3 I put them with the photos. Can someone help
Answers
Answer:
4:7
Step-by-step explanation:
4 grape candies : 7 total candies (grape + cherry)
Answer:
It is simply 4:3
How to do this question plz answer me step by step plzz plz
Answers
Answer:
£13496.80
Step-by-step explanation:
We can ignore the £ sign for now, that is just units.
If we decrease a number by 4.5%, we will have to find [tex]100-4.5=95.5[/tex]% of 14132.77.
We can easily do this by setting up a proportion.
[tex]\frac{x}{14132.77} = \frac{95.5}{100}[/tex]
Multiply 14132.77 by 95.5:
[tex]14132.77\cdot95.5=1349679.535[/tex]
Divide by 100:
[tex]1349679.535\div100=13496.79535[/tex]
Rounding this to two decimal places, it simplifies to 13496.80.
Hope this helped!
Let u = , v = . Find u + v. (1 point)
Answers
Answer:
i couldnt find a solution to the equation all i could get is u +v
Step-by-step explanation:
what were you trying to say when you said "let u="
Answer:
4.8
Step-by-step explanation:
(-3,4) + (8,2) = 4.8
what is the common number to be subtracted from each term of the ratio 11:8 to get the new ratio 2:1.?
Answers
Answer:
5 should be subtracted from each term
Step-by-step explanation:
[tex]\frac{11-x}{8-x}=\frac{2}{1}[/tex]
Cross multiply,
1 * (11 - x) = 2*(8-x)
11 -x = 2*8 - 2*x
11 - x = 16 - 2x
Subtract 11 from both sides,
-x = 16 - 2x - 11
-x = 5 - 2x
Add 2x to both sides
-x +2x = 5 - 2 + 2x
x = 5
how many cars the baseball team needs to wash before it starts making a profit. The team spent $75 setting up the car wash, and they are charging $5 per car for a wa The first step in modeling this situation is to track how much money the baseball team will take in. Write an equation to represent the amount of money collected in dollars, y, in terms of the number of cars washed, x. Ignore the setup cost.
Answers
Answer:
y = 5x
Step-by-step explanation:
The revenue (y) is 5 dollars for each car washed. The number of cars washed is x, so the revenue equation is ...
y = 5x
_____
Additional comment
At the end of the exercise of writing revenue and cost and profit equations, you will find that the break-even number of cars is the ratio of fixed cost (start-up cost in this case) to the profit contribution of each car (per-car charge in this case). That is, it will take 75/5 = 15 cars to break even. Each additional car will contribute a positive profit.
Answer:
Equation INCLUDING the setup cost: y = 5x - 75
Equation EXCLUDING the setup cost: y = 5x
Step-by-step explanation:
It spent a total of $75 to set up the car wash.
It is charging $5 per car.
y = amount collected in $
x = number of cars washed
=> We can make an equation INCLUDING the setup cost and EXCLUDING the setup cost.
=> INCLUDING the setup cost.
=> y = 5x - 75
=> I subtracted 75 from 5x because they spent a total of $75 to set up the car wash.
=> I wrote 5x because they get $5 for each car so if they wash 10 cars they get 5 * 10 = $50.
An EXAMPLE from the above equation:
y = 5x -75
=> y = 5*14 - 75
=> y = 70 - 75
=> y = -5
=> This means that if they wash 14 cars, they still have a debt of 5 dollars.
An equation EXCLUDING the setup cost will look like:
=> y = 5x
I wrote this because, they didn't spend any money so they will get 5 dollars per car. How many cars they wash, the answer will be 'number of cars x 5'.
An EXAMPLE from the above equation is:
=> y = 5x
=> y = 5 * 14
=> y = $70
=> This means that if they wash 14 cars, they get $70.
