4.97 ft

Mathematics

1 answer:

Vikentia [17]3 years ago

7 0

Answer:

a is the area of the largest rectangle

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Two supplementary angles. One angle is 35 more than the second angle, find the measure of the second angle. The measure of the s

OverLord2011 [107]

Answer: 72.5 degrees

Step-by-step explanation: Call smaller angle x, so larger angle is x+35, so 2x+35=180, subtract 35 from both sides, 2x=145, so x=72.5! I hope this helps you

6 0

3 years ago

-6x - 29 + 7x = 8 and -8x + 6x - 13 = 33

Mumz [18]

First equation:
-6x-29+7x=8
Combine like terms
-6+7=1
1x-29=8
Add 29 to both sides
1x=37
Divide both sides by 1
x=37

Second equation:
-8x+6x-13=33
Combine like terms
-8+6=-2
-2x-13=33
Add 13 on both sides
-2x=46
Divide both sides by -2
x=-23

5 0

4 years ago

Read 2 more answers

Suppose the radius of a circle is 5. What is its area?

aalyn [17]

A = π r² = π × 5² ≈ 78.53982
A ≈ 78.4

6 0

3 years ago

The radius of the large sphere is double the radius of the small sphere. How many times does the volume of the large sphere than

pshichka [43]

Answer:

8 times larger.

Step-by-step explanation:

The radius of the large sphere is double the radius of the small sphere.

Question asked:

How many times does the volume of the large sphere than the small sphere

Solution:

Let radius of the small sphere =  $x$ 

As the radius of the large sphere is double the radius of the small sphere:

Then, radius of the large sphere = $2x$

To find that how many times is the volume of the large sphere than the small sphere, we will divide the volume of large sphere by volume of small sphere:-

For smaller sphere: $Radius = x$

$Volume \ of \ sphere = \frac{4}{3} \pi r^{3}$

$=\frac{4}{3} \pi x^{3}$

For larger sphere: $Radius = 2x$

$Volume \ of \ sphere = \frac{4}{3} \pi r^{3}$

$=\frac{4}{3} \pi (2x)^{3}$

Now, we will divide volume of the larger by the smaller one:

$=\frac{4}{3} \pi (2x)^{3}\div\frac{4}{3} \times\frac{\pi }{1 } \times x^{3}\\ \\ =\frac{4}{3} \pi\times8x^{3} \times\frac{3}{4\pi }\ \times\frac{1}{x^{3} }$