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2 years ago

What is the length of the longest side ?

Mathematics

1 answer:

exis [7]2 years ago

7 0

Answer:

11 feet (Option C)

Step-by-step explanation:

Let the longer side be l and the shorter side be b.

We know that,

→ Perimeter of rectangle = 2 ( longer side + shorter side )

Here,

Perimeter of rectangle is 32 feet.

→ 32 = 2 (l + b)

→ 32 = 2l + 2(5)

→ 32 = 2l + 10

→ 32 - 10 = 2l

→ 22 = 2l

→ $\sf \dfrac{22}{2}$ = l

→ 11 = l

→ 11 feet = longer side

$\therefore$ Length of the longer side is 11 feet.

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a solid consists of cylinder surmounted by a right circular cone. The height of the cone is 2h. If the volume of the solid is 3

Mademuasel [1]

Answer:

height of cylinder = 4/3 h

Step-by-step explanation:

The solid has a cylinder surmounted with a cone .Therefore, the volume of the solid is the sum of the cone and the cylinder.

volume of the solid = volume of cylinder + volume of cone

volume of the solid = πr²h + 1/3πr²h

let

height of the cylinder = H

recall

the height of the cone = 2h

volume of the solid = πr²h + 1/3πr²h

3(1/3πr²2h) = πr²H + 1/3πr²2h

2πr²h = πr²H + 2/3 πr²h

πr²(2h) = πr²(H + 2/3 h)

divide both sides by πr²

2h = H + 2/3 h

2h - 2/3h = H

H = 6h - 2h/3

H = 4/3 h

height of cylinder = 4/3 h

8 0

2 years ago

Enter the resulting inequality. -9 ≤ -6; Add 15 to both sides

inessss [21]

Step-by-step explanation:

-9+15=6, -6+15=9

So,

6 < 9

3 0

2 years ago

Suppose a baseball is thrown vertically upward from the ground with an initial velocity of Subscript[v, 0] ft/s. Its height abov

Zina [86]

Answer:

90.5

Step-by-step explanation:

Velocity is a time-derivative of displacement or the height, in this case.

$s(t)=-16t^2+v_0t$

$v(t) = -32t+v_0$

At maximum height, the velocity is 0 and the height is 128.

Substitute these values into both equations above,

$0 = -32t+v_0$

$t=\dfrac{v_0}{32}$

From the first equation,

$128 = -16t^2 + v_0t$

Substitute for $t$ .

$128 = -16(\dfrac{v_0}{32})^2 + v_0\times\dfrac{v_0}{32}$

$128 = -v_0^2/64 + v_0^2/32$

$128=\dfrac{v_0^2}{64}$

$v_0^2=8192$

$v_0=64\sqrt{2}=90.5$

5 0

3 years ago

Help! Due in about 2 hours

ExtremeBDS [4]

1. 672/12 = 56
2. 1440/16 = 90
3. 784/7 = 112

7 0

1 year ago

Suppose triangle ABC is reflected over the x-axis. If the distance between point A and A’ is 14, what is the distance between th

andreyandreev [35.5K]

Given:

The triangle ABC is reflected over the x-axis.

The distance between point A and A’ is 14.

To find:

The distance between the x-axis and A’.

Solution:

If a figure is reflected across the x-axis then the corresponding parts are mirror image of each other about the x-axis.

It means the distance between A and x-axis is same as the distance between x-axis and A'.

The distance between point A and A’ is 14.

Let d be the distance between the x-axis and A’. Then,

$d+d=14$

$2d=14$

$d=\dfrac{14}{2}$

$d=7$

Therefore, the correct option is 1.

7 0

2 years ago