All categories

4 years ago

Please help ASAP THANKS x

Mathematics

1 answer:

Trava [24]4 years ago

8 0

The formula of the volume of the sphere:
$V=\dfrac{4}{3}\pi r^3$
We have a diameter. It's equal double radius.
Therefore
$2r=9\dfrac{1}{2}\\\\2r=9.5\ \ \ |:2\\\\r=4.75\ in.$

$V=\dfrac{4}{3}\pi\cdot(4.75)^3\approx449\ in^3.$
Answer: D. 449 cubic inches.

You might be interested in

A baker has small and large bags of sugar for making cakes. The large bag contains 30 cups cups of sugar and is 2.5 times larger

adell [148]

Answer:

Step-by-step explanation:

The first thing we need to focus on is the fact the large bag (30 cups) is 2.5 larger than the small bag. So, the first we need to do is divided 30 by 2.5, which is 12. (300/25 = 30/2.5 = 12, in case you're confused.) So the small bag has 12 cups of sugar.

What that down, we need to focus how many cakes the small bag can make, which was 9. 3/4 of a cup is left over. We can create an equation from that info, that being 9x + 0.75 = 12. Now let's solve for x.

9x + 0.75 = 12

<em>First, subtract 0.75 from both sides. With that, we can solve for x directly.</em>

9x = 12 - 0.75

9x = 11.25

<em>Now, divide both sides by 9.</em>

x = 11.25/9

x = 1.25

With that, we now know that each cake needs 1.25 cups of sugar.

With that, the last thing we need to is divide 30 by 1.25. Again, I can use powers of ten, to quickly divide 3000 by 125 (10²) to get 24 cakes.

With that done, we have our answer. 24 cakes can be made with a large bag of sugar.

<em>I hope this helps! (⌒ω⌒)</em>

5 0

3 years ago

What is the volume of this cylinder?

aliina [53]

Answer:

option a

Step-by-step explanation:

4 0

3 years ago

What is the product of 8 times 4 minus the sum of 12 and 7?

klio [65]

Answer:

Step-by-step explanation:

8 × 4 = 32

12 + 7 = 19

32 - 19 =13

5 0

3 years ago

3. Amy Schorling is age 24 and is unmarried. She uses her vehicle

azamat

Based on Amy Schorling's driver rating factor, vehicle classification and bodily injury coverage, her annual premium is $576.46.

If she includes the $50-deductibel collision coverage, her insurance premium becomes $1,067.08.

<h3>How much is Amy Schorling's annual premium?</h3>

At $25,000 property damage, her 25/50 bodily injury coverage premium is $206.40.

This should be added to her $50 comprehensive deductible D-14 vehicle classification of $105.20.

Annual base premium:

= 206.40 + 105.20

= $311.60

Annual premium:

= Annual base premium x Driver rating factor

= 311.60 x 1.85

= $576.46

<h3>How much is the annual premium including collision coverage?</h3>

The annual base premium becomes:

= 311.60 + 265.20

= $576.80

Annual premium becomes:

= 576.80 x 1.85

= $1,067.08

Find out more on insurance coverage at brainly.com/question/25740123.

5 0

2 years ago

A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground.

tankabanditka [31]

To find the length of the ladder, you need to do Pythagorean theorem.
50^2 + 30^2 = x^2
2500 + 900 = x^2
x^2 =3400
x= square root of 3400
58.31 OR 10 root34

To find the angle:
tan theta = opposite/adjacent
50/30 = 5/3
theta = tan inverse of 5/3
= 59.04

8 0

4 years ago