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3 years ago

Find the volume of a prism with a length of 4.5 inches, width of 5 inches, and a height that is one third of the length.

Mathematics

1 answer:

evablogger [386]3 years ago

5 0

Answer:

33.75

Step-by-step explanation:

Formula: Width · Height · Length

Substitute with known values: 5 · height · 4.5

Find Length: Since the height is one third of the length, we need to divide the length by three → 4.5 ÷ 3 = 1.5

Know we know that the height is 1.5.

Substitute Known Height: 5 · 1.5 · 4.5

Simplify: 5 · 1.5 · 4.5 = 33.75

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Find the measure of each angle

castortr0y [4]

3x+5+10x-7=180
13x-2=180
-2 -2
13x=182
/13 /13

X=14

3(14)+5=47
10(14)-7=133

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4 years ago

If the hypotenuse of a right triangle is 20 cm and one of the legs is 16 cm, how long is the other leg?

siniylev [52]

Because this is a triangle and we know that we can use the Pythagorean Theorem to find the hypotenuse we just plug in the numbers. But because you have the hypotenuse already you will subtract the leg from the hypotenuse.

A^2+B^2=C^
16^2+B^2=20^2
256+B^2=400 subtract 256 from both sides
B^2=144 now take the square root of both sides
B=12

The second leg is 12 cm long. Your answer is B, the second answer.

6 0

3 years ago

What is the solution of each equation 4z=20: z=5 z=2 z=7 z=6

uysha [10]

Answer:

43/6=z

Step-by-step explanation:

6 0

3 years ago

Which is the dependent variable in 4x^2-5/6x-9=y if y=f(x)

olga55 [171]

Answer:

Step-by-step explanation:

The expression

y = f(x)

tells you that y is the dependent variable, and that it depends on x, the independent variable. The independent variable is always the function argument. Any variable that depends on that is the dependent variable.

4 0

3 years ago

At high school basketball game, the athletic department sold 250 tickets and brought in 837.50. Adult tickets cost $5 and studen

Tpy6a [65]

Answer:

The system of equations is:

$a+s = 250\\5a+2.50s = 837.50$

Here a is the number of adult tickets and s is the number of student tickets

Step-by-step explanation:

We will use the given statements to make a system of equations for the given scenario.

First of all we have to decide which variables to be used.

Let a be the number of adult tickets and

Let s be the number of student tickets

So according to the statement that the department sold 250 tickets in total, the equation will be:

$a+s = 250$

This is equation one of the system of equations

According to the statement that cost of adult ticket is $5, total cost of adult tickets will be: $5a$

According to the statement that cost of student ticket is $2.50, total cost of student tickets will be: $2.50s$

The total earning was $837.50 so the second equation will be:

$5a+2.50s = 837.50$

Hence,

The system of equations is:

$a+s = 250\\5a+2.50s = 837.50$

Here a is the number of adult tickets and s is the number of student tickets

7 0

3 years ago