Answer:
25
Step-by-step explanation:
this is a right triangle so you can use the Pythagorean Theorem where the sum of the square of each leg is equal to the square of the hypotenuse
missing length is a leg and we can assign the variable 'a'
the other leg can be 'c' and the hypotenuse can be 'c'
a² + 35² = 43²
a² + 1225 = 1849
subtract 1225 from each side to get:
a² = 624
take the square root of each side to get:
a = [tex]\sqrt{624}[/tex]
[tex]\sqrt{624}[/tex] is equal to 25 by the nearest tenth
20 points I beg you help
What is the common difference for the arithmetic sequence 14, 8, 2, -4, -10…. ?
Answer:
common difference = -6
Step-by-step explanation:
What is the area of a circle that has a diameter of 16in? A: 50.24 square inches B: 803.84 square inches C: 200.96 square inches D: 25.12 square inches
Answer:
A = 200.96 in² (Answer C)
Step-by-step explanation:
The formula for the area of a circle of radius (not diameter) is A = πr².
Here the diameter is 16 in, so the radius is half that, or 8 in.
Then the area of the circle in question is
A = π(8 in)² = 64π in²
If tis is evaluated, we get A = 200.96 in² (Answer C)
Sthephanie has 3 3/4 bags of soli to put in her garden. Each bag of soil will cover 125.3 ft how many square feet will sthephanie be able to cover if she uses all bags of soli?
Answer:
469.875 square feet
Step-by-step explanation:
Find how many square feet she can cover by multiplying 125.3 by 3.75 (same as 3 3/4):
125.3(3.75)
= 469.875
So, she will be able to cover 469.875 square feet with soil
Which product results in x^2-1
need help. will mark brainliest if correct
Answer:
11
Step-by-step explanation:
4s-2/7=6
4s-2=6×7
4s-2=42
4s=42+2
4s=44
s=44/4
s=11
Answer:
s = 11
Step-by-step explanation:
[tex]\frac{4s - 2}{7} = 6[/tex]
[tex]\frac{7}{1} * \frac{4s-2}{7} = 6 * 7\\[/tex]
[tex]{4s - 2} = 42\\ +2 = +2\\\\4s= 44\\\\\\ 4s/ 4 = 44/4\\s= 11[/tex]
What is the surface area of a cube in which each face of the cube has an area of 7 cm^2?
Answer:
In a cube, the length and width are the same, so both sides will be 7 cm, yielding an area of 49 square centimeters. The surface area of a 7 cm cube will be 294 cm2 . Hope this helps!
Given the equation sqrt(x+1)+3=0, explain how to and solve this equation. Is the solution extraneous? Explain
√(x + 1) + 3 = 0 ==> √(x + 1) = -3
has no real solutions, since the square root cannot be a negative number. But if we were to ignore that for the moment, one might try taking the square of both sides, which gives
(√(x + 1))² = (-3)² ==> x + 1 = 9 ==> x = 8
But this is not a valid solution, since
√(8 + 1) = √9 = 3 ≠ -3
While -3 is a square root of 9, we had started off with the *positive* square root of x + 1.
7th grade math help me pleaseeee
Answer:
The lower left one.
Step-by-step explanation:
If you expand and rearrange it, you will find out both of its constant cancel out, and leave you with 3w=3w. So w have infinite number of solutions.
Answer:
[tex]6(\frac{1}{2} w-1)=3(w-2)[/tex]
Step-by-step explanation:
[tex]6(\frac{1}{2} w-1)=3(w-2)[/tex] (Isolate parentheses)
[tex]3w-6=3w-6[/tex] (Add six to both sides to isolate one variable w)
[tex]3w=3w[/tex] (Divide by three to isolate variable w)
[tex]w=w[/tex]
Because we got [tex]w=w[/tex], that means that any number you put in for w will still get you the same answer, or "infinite answers." If you try, say 5, you would still get the same answer if you put in 9. It has infinite answers.
I hope this helped :)
The incorrect work of a student to solve an equation 2(y + 4) = 4y is shown below:
Step 1: 2(y + 4) = 4y
Step 2: 2y + 6 = 4y
Step 3: 2y = 6
Step 4: y = 3
Which of the following explains how to correct Step 2 and shows the correct value of y?
1. The equation should be y + 4 = 4y after division by 2; y = 5
2. The equation should be y + 4 = 4y after division by 2; y = 2
3. 2 should be distributed as 2y + 8; y = 4
4. 2 should be distributed as 2y + 8; y = 2
Answer:
3; y=4
Step-by-step explanation:
2 should be distributed as 2y + 8; y = 4
2(y +4) = 4y
2y + 8 = 4y
8 = 2y
y = 4
a rational number between -2/3 and 1/4 is
Answer:
[tex]\frac{-7}{12} , \frac{-6}{12} , \frac{-5}{12},\frac{-4}{12} ,\frac{-3}{12} ,\frac{-2}{12} ,\frac{-1}{12},\frac{1}{12} ,\frac{2}{12}[/tex]
Step-by-step explanation:
Given :
To find rational number between -2/3 and 1/2
Firstly need to equate their denominator
[tex]\frac{-2(4)}{3(4)} =\frac{-8}{12} \\\frac{1(3)}{4(3)} =\frac{3}{12}[/tex]
Now,
Rational number between these two numbers will be :
[tex]\frac{-7}{12} , \frac{-6}{12} , \frac{-5}{12},\frac{-4}{12} ,\frac{-3}{12} ,\frac{-2}{12} ,\frac{-1}{12},\frac{1}{12} ,\frac{2}{12}[/tex]
Can anyone help me on this question ?
Answer:
5.7 units
Step-by-step explanation:
Please solve for X and Y
Answer:
x=16
..................
Which expression is equivalent to the following complex fraction?
3
-4
x-1
2.
X-1
2-
0
2(X-2)
-4X+7
-4X+7 D.
2(X-2)
4x+7
2(x2-2)
2(x2-2)
4x+7
Answer:
[tex]\frac{-4x+7}{2(x-2)}[/tex]
Step-by-step explanation:
[tex]For x \neq 1 \\\frac{\frac{3}{x-1}-4}{2-\frac{2}{x-1}}=\frac{\frac{3}{x-1}-\frac{4x-4}{x-1}}{\frac{2x-2}{x-1}-\frac{2}{x-1}}=\frac{\frac{-4x+7}{x-1}}{\frac{2x-4}{x-1}}=\frac{-4x+7}{2(x-2)}[/tex]
The equivalent expression is 2(x - 2) / (-4x + 7).
Option A is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To simplify the given expression:
[3/(x - 1) - 4] / [2 - 2/(x - 1)]
We need to find a common denominator for the two fractions in the numerator and denominator of the main fraction.
The common denominator for the numerator is (x - 1) and for the denominator is 2(x - 1).
We can then rewrite the expression as:
[3 - 4(x - 1)/(x - 1)] / [2(x - 1) - 2/(x - 1)]
Simplifying the numerator by distributing the -4:
(3 - 4x + 4) / (x - 1)
(-4x + 7) / (x - 1)
Now, simplifying the denominator by finding a common denominator:
2(x - 1) - 2/(x - 1)
= (2x - 2 - 2)/(x - 1)
= 2(x - 2)/(x - 1)
Substituting back into the original expression, we get:
(-4x + 7)/(x - 1) / [2(x - 2)/(x - 1)]
Multiplying by the reciprocal of the denominator:
(-4x + 7)/(x - 1) x (x - 1)/[2(x - 2)]
(-4x + 7)/[2(x - 2)]
Therefore,
The equivalent expression is 2(x - 2) / (-4x + 7).
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ5
find the sum of this infinite geometric series.
HELP!!
THE PROBABILITY OF A FOOTBALL TEAM WINNING A MATCH IS 0.3 THE PROBABILTITY OF THE SAME FOOTBALL TEAM LOSING IS 0.55 WHAT IS THE PROBABILITY OF THE SAME FOOTBALL TEAM WINNING THE MATCH?
Answer:
[tex]P(Win) = 0.30[/tex]
Step-by-step explanation:
Given
[tex]P(Win) = 0.30[/tex]
[tex]P(Lose) = 0.55[/tex]
Required
[tex]P(Win)[/tex]
This is already stated in the question as:
[tex]P(Win) = 0.30[/tex]
find x pls n ty!4?2!<3
Answer:
x = 8
Step-by-step explanation:
A² + B² = C²
x² + 15² = 17²
x² + 225 = 289
x² = 289 - 225
x² = 64
x = [tex]\sqrt{64}[/tex]
x = 8
Hope this helps!
The amount of taxes on a chair was $3.60 the text is the tax rate was 5% find the original price of the chair??
Answer:
Original Price = $72.
Step-by-step explanation:
You first need to know that $3.60 is 5% of the original price.
Then you need to multiply by 20, because 100/5 is 20, meaning that the price multiplied is $72.
The answer is $72.
Mallory goes to the farmers market every weekend. She buys six apples for $0.75 each and a bagful of oranges that are priced at $1.25 per orange. The total charge is $14.50. Write the equation representing this situation where n represents the number of oranges.
Answer:
Number of oranges = 8
Step-by-step explanation:
let
a = number of apples
n = number of oranges
Number of apples = 6
Cost of each apple = 0.75
Number of oranges = n
Cost of each orange = $1.25
Total cost = $14.50
Total cost = Number of apples * Cost of each apple + Number of oranges * Cost of each orange
14.50 = 6 * 0.75 + n * 1.25
14.50 = 4.5 + 1.25n
14.50 - 4.5 = 1.25n
10 = 1.25n
n = 10 / 1.25
n = 8
Number of oranges = n = 8
Therefore, there are 8 oranges in a bagful of orange
which of the following is the equation of a line perpendicular to the line y+-3/2 x+4
Answer:
The answer is (-2/3)x + 4.. I have added a picture with the solution
Can you help me you can do only a
Which of the following is the value of g(60)?
A mixture of concrete is made up of sand and cement in the ratio of 5:3.How many cubic centimeters of sand is needed to make 160 cubic centimeters of concrete mix?
Answer: [tex]100\ cm^3[/tex]
Step-by-step explanation:
Given
The ratio of mixture of sand and cement is 5:3
If the total volume of mixture is [tex]160\ cm^3[/tex]
Suppose there is 5x and 3x cubic centimeter of sand and cement respectively i.e.
[tex]\Rightarrow 5x+3x=160\\\Rightarrow 8x=160\\\Rightarrow x=20\ cm^3[/tex]
Sand [tex]5x=5\times 20=100\ cm^3[/tex]
So, there is [tex]100\ cm^3[/tex] of sand in the mixture
How do you rewrite an equation by completing the square?
x^2+10x+21=0
Answer:
Step-by-step explanation:
x²+10x+21=0
x²+10x+(10/2)²-(10/2)²+21=0
x²+10x+25-25+21=0
(x+5)²-4=0
(x+5)²=4
(x+y)²=(x+y)(x+y)=x(x+y)+y(x+y)=x²+xy+xy+y²=x²+2xy+y²
(x+y)²=x²+2xy+y²
coefficient of x=2y
y²=[(coefficient of x)/2]²=(2y/2)²=y²
Solve for x.
Please helppp
Answer:
x = 23
Step-by-step explanation:
2x + 19 + 5x = 180
I say this because it is an angle that is equivalent to the one adjacent to 2x+19, which is on a straight line. That means it is equal to 180.
7x + 19 = 180
180 - 19 = 7x
161/7 = x
x = 23
Step-by-step explanation:
5x+2x+19=180
7x+19=180
7x=180-19
7x=161
x=161/7
x=23
if u want more ans
5x
5×23
115
2x+19
2×23+19
65
hope it helps
Write an equation of a line in slope-intercept form for the
given conditions.
passes through (4,33) and (1,21)
Answer:
The desired equation is thus y = 4x + 17
Step-by-step explanation:
The slope-intercept form of the equation of a straight line is y = mx + b. There are two values to find: slope m and y-intercept b.
The line passes through (4, 33). Thus, 33 = m(4) + b.
The line also passes through (1, 21). Thus, 21 = m(1) + b, or m = 21 - b.
Thus we have a system of linear equations to solve, and will use the substitution method:
Substitute 21 - b for m in 33 = 4m + b:
33 = 4(21 - b) + b, which, in expanded form, is 33 = 84 - 4b + b, or
33 = 84 - 3b, of
-51 = -3b.
Thus, b = 17. Since m = 21 - b, when b = 17, m = 21 - 17 = 4
The desired equation is thus y = 4x + 17
Of course there are other ways to find this equation. You could, if you wished, find the slope of the line passing through the given points using the definition of slope, and then find the y-intercept.
Solve 2x + 5y = -13
3x - 4y = -8
(4,1)
(-4,1)
(4.-1)
(-4,-1)
The answer is (-4,-1). Hopes this helps :)
Need help ASAP !!!!!
Answer:
Option A is correct answer
hear is explaination
[tex]\longrightarrow{\blue{a.\:90}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] - 3xy[/tex]
Plugging in the values "[tex]x = 5[/tex]" and "[tex] y = -6[/tex]", we have
[tex] = - 3(5)( - 6)[/tex]
[tex] = - 3( - 30)[/tex]
[tex] = 90[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
(Help fast plz)Which of these tables represents a linear function
Answer:
Step-by-step explanation:
3rd one
Ahmed won a lottery of AED 52,736,050 in Dubai Millennium Millionaire. Write the amount in words.
fifty two millione and seven hundred thirty six thousand and fifty
15 points!! Are any of these right?
Answer:
it is the second one
Step-by-step explanation:
the y intercept for the first one isnt the origin
It is decreasing from negative infinity to -2.5 for the first one