The area of the triangle extension is 12, because the total side length it is on is 18, and the segments to the sides of the triangle are 6 each, meaning 18-12=6, the height of the triangle. The base is given as 4, so 1/2(4x6)=24/2=12.

Add this to the area of the rectangle, 9x18=162, and 162+12=174.

The area is 174.

7 0

3 years ago

Read 2 more answers

10 pt

lord [1]

Answer:

C. 434π

Step-by-step explanation:

Given:

Radius (r) = 7 in.

Height (h) = 24 in.

Required:

Surface area of the cylinder

Solution:

S.A = 2πrh + 2πr²

Plug in the values

S.A = 2*π*7*24 + 2*π*7²

S.A = 336π + 98π

S.A = 434π

5 0

3 years ago

Help help please please

trapecia [35]

9514 1404 393

Answer:

b = √32

Step-by-step explanation:

The Pythagorean theorem tells you the relation between the side lengths is ...

2² + b² = 6²

b² = 36 -4 = 32

b = √32

_____

Additional comment

This radical can be simplified by removing a square from under the radical.

$b = \sqrt{32}=\sqrt{16\cdot2}=\sqrt{16}\cdot\sqrt{2}=4\sqrt{2}$

5 0

2 years ago

A cone and a sphere both have a radius of 1. If you fill the cone with liquid, and pour it into the sphere, it fits exactly. Wha

PtichkaEL [24]

Answer and Step-by-step explanation:

First, solve for the volume of the sphere, then solve for the height of the cone using the volume of the sphere (which is said to be equal to the volume of the cone) and the radius given.

Volume formula of Sphere

V = $\frac{4}{3} \pi r^2$