${ \tt{volume = \frac{4}{3} \pi {r}^{3} }} \\ 36\pi = \frac{4}{3} \pi \times {(2d)}^{3} \\ \frac{36 \times 3}{4} = 8 {d}^{3} \\ 27 = 8 {d}^{3} \\ {d}^{3} = \frac{27}{8} \\ diameter = 1.5 \: units$

4 0

3 years ago

WILL GIVE BRAINLIEST!!!!!! Look at the picture of a scaffold used to support construction workers. The height of the scaffold ca

maksim [4K]

Answer:

A). PR = 16.13 ft

B). QR = 9.64 ft

Step-by-step explanation:

Part (A).

From the figure attached,

ΔPQR is a right triangle,

m(PQ) = 14 ft

m(QR) = 8 ft

By applying Pythagoras theorem,

Hypotenuse² = (Leg 1)² + (Leg 2)²

(PR)² = (PQ)² + (QR)²

(PR)² = (14)² + (8)²

PR = √260

= 16.125

≈ 16.13 ft

Part (B).

If PR = 17 feet

and PQ = 14 feet

By applying Pythagoras theorem in ΔPQR,

PR² = PQ² + QR²

(17)² = (14)² + (QR)²

(QR)² = 289 - 196

QR = √93

= 9.644

≈ 9.64 ft

4 0

3 years ago

2/3(x-9)= -11 What is the answer for X

jonny [76]

Answer:

x = - $\frac{15}{2}$

Step-by-step explanation:

Given

$\frac{2}{3}$ (x - 9) = - 11

Multiply both sides by 3 to clear the fraction

2(x - 9) = - 33 ← distribute left side

2x - 18 = - 33 ( add 18 to both sides )

2x = - 15 ( divide both sides by 2 )

x = - $\frac{15}{2}$

6 0

4 years ago

Read 2 more answers

Wayne owns a dairy farm. Yesterday, his cows produced 503 pints of milk. While he processed the milk, he lost 15 pints. How many

nexus9112 [7]

9514 1404 393

Answer:

B. 122

Step-by-step explanation:

Wayne will have 503 -15 = 488 pints left. Putting 4 pints in each container, he can fill 488/4 = 122 containers.

5 0

3 years ago