Double the second number, the sum is 34."

Please Answer!!!!

ExtremeBDS [4]

First mug holds the most

Solution:

Given that,

You are choosing between two mugs

The volume of cylinder is given as:

$V = \pi r^2h$

Where,

r is the radius and h is the height

One has a base that is 5.5 inches in diameter and a height of 3 inches

$radius = \frac{diameter}{2}$

Therefore,

$r = \frac{5.5}{2}\\\\r = 2.75$

Also, h = 3 inches

Thus volume of cylinder is given as:

$V = \pi \times 2.75^2 \times 3\\\\V = 3.14 \times 22.6875\\\\V = 71.23875 \approx 71.24$

Thus first mug holds 71.24 cubic inches

The other has a base of 4.5 inches in diameter and a height of 4 inches

$Radius = \frac{4.5}{2}\\\\r = 2.25$

h = 4 inches

Therefore,

$V = 3.14 \times 2.25^2 \times 4\\\\V = 3.14 \times 20.25\\\\V = 63.585$

Thus the second mug holds 63.585 cubic inches

On comparing, volume of both mugs,

Volume of first mug > volume of second mug

First mug holds the most

8 0

4 years ago

The diameter of circle x is 15 centimeters.

rjkz [21]

Answer:

15.7 cm

Step-by-step explanation:

Circle x's circumference is 15 * pi = 47.1 cm

Circle y's is 20 * pi = 62.8

The difference is 62.8 - 47.1 = 15.7

5 0

2 years ago

Joey Chestnut is trying to break his own world record for eating the most hot dogs and buns in 101010 minutes. He needs to eat m

vodomira [7]

Inequality 9d+10>72

Num of hot dogs needed to be eaten per min, 7.

8 0

4 years ago

Read 2 more answers

Suppose I rolled a fair six-sided die. Let R=number rolled. What is the sample space,

Mariana [72]

Answer:

No Side Is Being Favored Since The Die Is A Fair Six-Sided Die.

So Each Number Has The Same Chance Of Being Rolled.

6 0

3 years ago

Geometry!!!!!!!!!!!!!!!!!!!!!!!!

Stella [2.4K]

Given:

Given that O is the center of the circle.

The radius of the circle is 3 m.

The measure of ∠AOB is 30°

We need to determine the length of the major arc ACB

Measure of major ∠AOB:

The measure of major angle AOB can be determined by subtracting 360° and 30°

Thus, we have;

$Major \ \angle AOB=360-30$

$Major \ \angle AOB=330^{\circ}$

Thus, the measure of major angle is 330°

Length of the major arc ACB:

The length of the major arc ACB can be determined using the formula,

$m \widehat{ACB}=(\frac{\theta}{360})2 \pi r$

Substituting r = 3 and $\theta=330$ , we get;

$m \widehat{ACB}=(\frac{330}{360})2 \pi (3)$

$m \widehat{ACB}=\frac{1980}{360}\pi$

$m \widehat{ACB}=5.5 \pi$

Thus, the length of the major arc ACB is 5.5π m

8 0

3 years ago