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3 years ago

Which value is the solution to the equation? -3(t-7) = 24

Mathematics

1 answer:

Nady [450]3 years ago

6 0

$t = - 1$

is the answer

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Find the total volume of the composite figure below. Round to the nearest thousandth.

cestrela7 [59]

Answer:

The volume of the composite figure is approximately 3567.198 cubic feet.

Step-by-step explanation:

The composite figure consists in the combination of a right cone and a cuboid. The volume of the composite ( $V$ ), in cubic feet, figure can be determined by this expression:

$V = \frac{1}{3}\cdot \pi \cdot r^{2}\cdot h + w\cdot H \cdot l$ (1)

Where:

$r$ - Radius of the circle of the right cone, in feet.

$h$ - Height of the cone, in feet.

$w$ - Width of the cuboid, in feet.

$H$ - Height of the cuboid, in feet.

$l$ - Length of the cuboid, in feet.

If we know that $r = 10\,ft$ , $h = 10\,ft$ , $w = 20\,ft$ , $H = 7\,ft$ and $l = 18\,ft$ , then the volume of the composite figure is:

$V = \frac{1}{3}\cdot \pi \cdot (10\,ft)^{2}\cdot (10\,ft) + (20\,ft)\cdot (7\,ft)\cdot (18\,ft)$

$V = \left(\frac{1000\pi}{3} + 2520\right)\,ft^{3}$

$V \approx 3567.198\,ft^{3}$

The volume of the composite figure is approximately 3567.198 cubic feet.

3 0

3 years ago

Help with algebra 2 I can’t figure out how to solve the problem .

defon

Answer: D

Step-by-step explanation:

Using the equation plot in the coordinates of the points to see if they fit the equation.

5x-3y < 30

A) 5(-3) -3(5) < 30

-15 -15 < 30

-30 < 30 This is true

B) 5(0) -3(0) < 30

0 - 0 < 30

0< 30 This is true

C) 5(-5) - 3(3) < 30

-25 - 9 < 30

-34 < 30 This is also true

D) 5(3) - 3(-5) < 30

15 + 15 < 30

30 < 30 This is not true because 30 is not greater that 30

3 0

2 years ago

You are given the difference of the numbers of boys and girls in a class and the ratio of boys to girls. How many boys and how m

Tema [17]

Answer:

Am sure boys are 13and girls also 13

7 0

2 years ago

Which of the following tables represent input and output values of a linear function? Select all that apply. Graph them on grid

egoroff_w [7]

Answer:

noemqp

Step-by-step explanation:

3 0

3 years ago

Which of the following sets are not well-defined?

Julli [10]

Set of all counting number

3 0

2 years ago