The living room in a new house has the dimensions shown. What is the volume of the room?

Answer:

Step-by-step explanation:

pythagoras theorem

a^2+b^2=c^2

21^2+b^2=29^2

441+b^2=841

b^2=841-441

b^2=400

b=[tex]\sqrt{400[/tex]

b=20

therefore the length of a missing side is 20.

Answer:

20

Step-by-step explanation:

Use Pythagorean theorem. A^2+B^2=C^2

29 is the hypotenuse.

21^2+x^2=29^2

x=20

Answer:

7.14 in²

Step-by-step explanation:

A = LW

A = 2 x 2 = 4

-----------------------------------------------------------------------------------------------------------------

A = 3.14r²

A = 3.14 (1²)

A = 3.14 (1)

A = 3.14

-----------------------------------------------------------------------------------------------------------------

3.14 + 4 = 7.14

Answer:

B  No

Step-by-step explanation:

4(5 + x)

To simplify the expression, we must use the distributive property. We need to multiply 4 by the each of the two terms inside the parentheses.

4(5 + x) = 4 × 5 + 4 × x = 20 + 4x

20 + 4x is equivalent to 4(5 + x).

20 + x is not equivalent to 20 + 4x, so 20 + x is incorrect.

Answer: B  No

Answer: Soup B

Step-by-step explanation:  You can find the common denominator for each ratio, and then compare.

Soup A : 3 grams of sodium for 13 cups of soup,        

therefore: 30 grams of sodium for 130 cups of soup  

Soup B: 9 grams of sodium for 10 cups of soup,

therefore: 117 grams of sodium for 130 cups of soup

So, Soup B has more sodium per cup.

If you want to figure out the amount of sodium for 1 cup, divide the amount of sodium by the amount of soup.  Hope this helped!    

Answer:

3/2

Step-by-step explanation:

6/5 = 1 1/5

7/5 = 1 2/5

3/2 = 1 1/2

1/5 < 2/5 < 1/2

Answer:

0.6069

Step-by-step explanation:

Given an approximately normal distribution:

Z = (x - mean) / standard deviation

Mean = 69.3 ; Standard deviation = 2.58

For :

P(x < 70)

Z = (70 - 69.3) / 2.58

Z = 0.7 / 2.58

Z = 0.2713

P(Z < 0.2713) = 0.6069

Answer:

16 in

Step-by-step explanation:

Because you multiply 4in by 3in and you get 12 in. and you subtract 3in by 1in to get the height for the smaller box and you get 2in so multiply 2in by 2in to get 4in and add your products to 12in and 4 in to get 16 in!

Hope this helps!

3x^2 = 48

Divide both sides by 3

3x^2 ÷ 3 = 48 ÷ 3

x^2 = 16

Take a square root from both sides

√x^2 = + √16 " OR " √x^2 = - √16

x = 4 " OR " x = - 4

Thus the correct answer is option 3 .

Answer:

its fourth one in my opinoin

9514 1404 393

Answer:

  x° = 88°

Step-by-step explanation:

The sum of interior angles of a hexagon is 180°(6 -2) = 720°. The unknown angle is found by subtracting known angles from the total.

  x° = 720° -172° -120° -95° -120° -125°

  x° = 88°

Answer:

[tex]\large \sf {\underline{\underline{ \fcolorbox{j}{g}{x = 88 °}}}}[/tex]

Step-by-step explanation:

We know that

➟ The sum of interior angles of a hexagon is 180° × ( 6 - 2 ) = 720 °

Now add all the angles that are given in the question and subtract from the total angles and we get the unknown number .

let unknown number be x.

Answer:

36

Step-by-step explanation:

Factor each into prime numbers

3 = 3

9 = 3 * 3

12 = 2 * 2 * 3

least common multiple

product of greatest number of different primes in any of the numbers

3 * 3 * 2 * 2

36

Answer:

LCM = 36

Step-by-step explanation:

Basically you want to find LCM which is the Least Common Multiple. This is the process of coming up with the smallest positive multiple that is common to two or more numbers.

Look up how to solve using cake ladder method. Basically you are going to list all numbers and use the same number to divide them in whole number without remainder. You do this until you encounter a point where you cannot further divide without remainder. Then you multiply the left most column and last row.

I have listed the process below and answer is 36 (multiply the left most column and last row. )

Answer:

Company a

Step-by-step explanation:

I got it right on the test for plato <3

Answer:

y = 1.5x + 6

Step-by-step explanation:

Given the following data;

Points on the x-axis (x1, x2) = (-4, 0)

Points on the y-axis (y1, y2) = (0, 6)

To find the equation of line;

First of all, we would determine the slope of the line.

Mathematically, slope is given by the formula;

[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]

[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]

Substituting into the equation, we have;

[tex] Slope, m = \frac {6 - 0}{0 - (-4)} [/tex]

[tex] Slope, m = \frac {6}{4} [/tex]

Slope, m = 1.5

To find the equation of line, we would use the following formula;

y - y1 = m(x - x1)

Substituting into the formula, we have;

y - 0 = 1.5(x - (-4))

y = 1.5x + 6

Answer: (0,0)

Step-by-step explanation:

got it correct

The value of y-intercept of the given function is (0,0).

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Since, We know that;

When a function intersects the y-axis then the point of intersection is called y-intercept of the function,

Also, for y-intercept x = 0.

That is, if f(x) is the function then its y-intercept is (0, f(0) )

By the given table for x = 0, f(x) = 0

Hence, tWhen a function intersects the y-axis then the point of intersection is called y-intercept of the function,

Also, for y-intercept x = 0.

That is, if f(x) is the function then its y-intercept is (0, f(0) )

By the given table for x = 0, f(x) = 0

Hence, the y-intercept of the given function is (0,0),

Thus, The value of y-intercept of the given function is (0,0).

Learn more about the mathematical expression visit:

brainly.com/question/1859113

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Answer:

0.122 = 12.2% probability that the student will have scored greater than 600 points on the quantitative section of the SATs.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean score of 501 points, and a standard deviation of 85 points.

This means that [tex]\mu = 501, \sigma = 85[/tex]

What is the probability that the student will have scored greater than 600 points on the quantitative section of the SATs?

This is 1 subtracted by the p-value of Z when X = 600. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{600 - 501}{85}[/tex]

[tex]Z = 1.165[/tex]

[tex]Z = 1.165[/tex] has a p-value of 0.878.

1 - 0.878 = 0.122

0.122 = 12.2% probability that the student will have scored greater than 600 points on the quantitative section of the SATs.

Answer:

it's in the picture

Step-by-step explanation:

Answer:

They are both wrong

Step-by-step explanation:

exponents are repeated multiplication. so it would be 2*2*2*2... that 28 times.

Answer:

A) Since each apple pie costs $ 1, with $ 13 Yenni bought 13 apple pies.

B) Yenni had $ 14.20 at the beginning.

Step-by-step explanation:

Since Yenni bought some apple pies for $ 13 and had some money left, and if she buys 1 more apple pie, she would have $ 0.20 left, while if she decided to buy 3 more apple pies, she would be short of $ 1.80, for To determine how many apple pies did she buy with $ 13, and how much money did Yenni have at first, the following calculations must be performed:

0.20 - (-1.80) = X

0.20 + 1.80 = X

2 = X

2/2 = 1

Therefore, since each apple pie costs $ 1, with $ 13 Yenni bought 13 apple pies.

13 + 1 + 0.20 = 14.20

14.20 - 13 = 1.20

In turn, Yenni had $ 14.20 at the beginning.

Answer:

[tex]60x-5[/tex]

Step-by-step explanation:

Multiply 10 by 6

60x - 5

Answer:

Area of heptagon = 712.26 square units

Step-by-step explanation:

Given the following data;

Side length = 14 units

A heptagon is a polygon with seven sides.

Mathematically, the area of a heptagon is given by the formula;

Area of heptagon = 3.634a²

Where;

a represents the side length.

Area of heptagon = 3.634 * 14²

Area of heptagon = 3.634 * 196

Area of heptagon = 712.26 square units

Answer:

I’m pretty sure 19 years old.

Step-by-step explanation:

Hope I could help

==================================================

Explanation:

Add 4 to both sides

a-4 < 10

a-4+4 < 10+4

a < 14

The reason why we add 4 to both sides is to undo the "minus 4" that's happening to the variable.

Answer:

256. fffddddddssddddd

Answer:

$8,250

Step-by-step explanation:

I = prt

I = ($15,000)(0.055)(10)

I = $8,250

The interest on the loan is $8250.00

The formula for determining simple interest is : loan amount x time x interest rate

Loan is the amount of money that Cindy borrowed. It is $15,000

interest rate = 5.5%

Time is the length of period of the loan. This is 10 years

$15,000 X 0.055x 10 = $8250

To learn more about simple interest, please check: https://brainly.com/question/9352088?referrer=searchResults

Answer:

L = x

W = 5x

P = 2 (L + W)

53 = 2(x + 5x)

53 = 2(6x)

53 = 12x

x = 4/5/12

L = 4/5/12

W = 22/1/12