A swimming pool has a gradual slope to the deep end. It forms a triangular prism. If the pool is filled to the very edge, then how many cubic feet of water does the pool hold?

Answer:

e) 87

Step-by-step explanation:

Required

Select the composite number

A composite number is such that: they have more than 2 factors

Factorizing each of the given numbers, we have:

[tex](a)\ 3 = 1 * 3[/tex]

[tex](b)\ 23 = 1 * 23[/tex]

[tex](c)\ 29 = 1 * 29[/tex]

[tex](d)\ 41 = 1 * 41\\[/tex]

[tex](e)\ 87 = 1 * 3 * 29[/tex]

Only (e) has more than 2 factors. Hence (e) is composite

Answer:

We can start at the given point (-1, 2) and move down 3 units and right 4 units to plot the next point. Repeat this for however long you want the line to be.

Hope this helps!

Here is the diagram:

Answer:

D; 15

Step-by-step explanation:

Because the highest point on the graph is at 15 (or 3 am), that would be the highest temperature. (Also, none of the other choices make sense; they are all at relatively low temperatures).

Answer:

(3,16)

Step-by-step explanation:

Factor the equation to find out that the roots are 7 and -1. The vertex's x will be in the center of these two points, so the center point between 7 and -1 is 3. Continue to substitute the x in the equation with 3 to get the other coordinate for vertex.

Answer:

x= 36

Step-by-step explanation:

both angles together are supplementary and will form 180

Therefore, you know the missing angle can be found by substracting 108 from 180

180 - 108 = 72

72 = 2x

Answer:

36°

Step-by-step explanation:

2x+108°=180°

2x=72°

x=36°

Answer:

y=4x

Step-by-step explanation:

Write the equation of linear function

Substitute:  

Multiply the monomials:  

Rearrange unknown terms to the left side of the equation:  

Reduce the greatest common factor on both sides of the equation:  

Rearrange unknown terms to the left side of the equation:  

Divide both sides of the equation by the coefficient of variable:  

Substitute one unknown quantity into the elimination:  

Solve the equation: m=4

Write the solution set of the equations:  

Substitute: y=4x

Answer: y=4x

Step-by-step explanation:

slope = 4

[tex] \frac{18 - 10}{7 - 5} [/tex]

which is

[tex] \frac{8}{2} [/tex]

which is 4

Answer:

Rs.380

Step-by-step explanation:

Given data

Price=  Rs 400.

Discount= 5%

Let us find the amount of the discount

=5/100*400

=0.05*400

=Rs. 20

Hence the amount that should be paid for it is

=400-20

=Rs.380

Answer:

c= 15 mi

Step-by-step explanation:

Pythagorean theorem.  a^+b^=c^

Square root of that

answer 15

Answer:

15

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

9^2 + 12 ^2 = c^2

81+144= c^2

225 = c^2

Take the square root of each side

sqrt(225) = sqrt(c^2)

15 =c

Answer:

Answer:

A. 210

Step-by-step explanation:

If you add the number of employees on the bar graph you will obtain your answer of 210 employees at Acme Corporation/Apple InfoTech.

Answer:

120

Step-by-step explanation:

Split up the boxes to help you achieve the answer.

Answer:

4x(10)

Step-by-step explanation:

add 3+7=10

4x is multiplying 3+7=10

4x(10)

Answer:

40

Step-by-step explanation:

first you would solve this in the order of operations

parenthesis first so, (5 + 5) is equal to ten

after the parenthesis you multiply so, 4 × 10 = 40

40 is your answer

Answer:

Expanding the bracket using the distributive Property

We have

4(5) + 4(5)

=20 + 20

=40

Answer:

Step-by-step explanation:

option c is correct

product of two numbers can be written as 4x

Answer:

Option B

Step-by-step explanation:

Proportion of number of defective pieces to the number of microchips in a batch can be represented by the ratio = [tex]\frac{\text{Number of microchips not in good condition}}{\text{Total numbers of microchips}}[/tex]

If 3 microchips are defective in a batch of 750 microchips,

Proportion = [tex]\frac{3}{750}[/tex]

If 'x' chips are defective in a batch of 10000 microchips,

Proportion = [tex]\frac{x}{10000}[/tex]

If both the proportions are equal,

[tex]\frac{3}{750}=\frac{x}{10000}[/tex]

Therefore, Option B will be the answer.

Answer:

four significant digits

Step-by-step explanation:

Answer:=2n5+4n4+5n3+4n

Step-by-step explanation:

Answer:

C. [tex]2n^{5} + 4n^{4} + 5n^{3} + 4n[/tex]

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

Answer:

Step-by-step explanation:

are about 2.5 meters above

Answer:

the y is 4

and the x is -8

(x,y)

(8,4-)

Answer:

3 ways

Step-by-step explanation:

since the lowest # of people interested in a position is 3, there can only be 3 different ways to fill an entire 4-person committee

Answer:

X=4

Hope this helped some.

Answer:

4=X

Step-by-step explanation:

6X-8=4X

-8=-2X

-8/-2= 4X

Answer

5 miles

Step-by-step explanation:

If he rides his bike one mile each day school to home each day its going to be 1 mile per day so if its 5 days it is 5 miles

-4 is greater since its negative then what you would call a smaller number is always greater

Answer:

-4

Step-by-step explanation:

i would pick ice cream though

Answer:

25

Step-by-step explanation

5 times 5 is 25

(To make problems like this easier just multiply the denominator by the result, take this problem for example, the denominator is 5 and the result is 5 so just multiply those and you get 25)