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Nikolay [14]
3 years ago
13

The area of a rectanglular sandbox is (5x + 40) feet. Factor 5x + 40 to find possible dimensions of the sandbox

Mathematics
1 answer:
kotegsom [21]3 years ago
6 0
5x+40 factors to 5(x+8). Notice how distributing the 5 back through to each term in the parenthesis gives
5 times x = 5x
5 times 8 = 40
So 5*(x+8) = 5*x+5*8 = 5x+40

Therefore, the factors are 5 and (x+8).
The dimensions of the sandbox are 5 feet by (x+8) feet.

We don't know the numeric value of (x+8) since we don't know the value of x, so we leave it as is. 
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What is the radius of a hemisphere with a volume of 6466 to the nearest tenth of a meter?
Alecsey [184]

Answer:

14.6m

Step-by-step explanation:

volume of a hemisphere = (2/3)πr3

Therefore r = Cube root of ( Volume * 3/2 * 1/ pi)

r = cube root ( 6466 * 3/2 * 1/ π)

r = 14.56

in the nearest tenth of a meter = 14.6 m

7 0
2 years ago
The net of a square pyramid is shown below: Net of a square pyramid showing 4 triangles and the square base. The square base has
Neko [114]

Given:

The dimensions:

Square pyramid

Square base: 2x2

1 out of 4 triangles: 1/2x2x5

4 triangles: 2x2x5

To find:

The SURFACE AREA of the square pyramid

Find answer:

Step 1

Find the area of the square base -

Square base:

SA = L x W

= 2 x 2

= 4

<em>The surface area of the square is 4 square inches</em>

<em></em>

Step 2

Find the area of the 4 Triangles:

We will use a different formula here, to find 1 triangle, we will have to do:

SA = \frac{1}{2} *B*H

To find 2 triangles, we will do:

SA = B*H

But to find 4 triangles in just 1 step, we will do:

SA=2*B*H

Let's do it!

SA = 2*2*5\\=2*10\\=20

<em>The surface area of the 4 triangles are 20 square inches</em>

<em></em>

Step 3

Add answers to get FINAL ANSWER

Easy!

20+4=24

<h2>Hence, the Surface Area of the Square Pyramid is 24 square inches</h2>

<em></em>

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4 0
2 years ago
You want to help build an awards podium for a track meet. If the podium has the dimensions shown, what is its volume?
Dennis_Churaev [7]

Answer:

18

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Can someone help me wih this?
irinina [24]
What grade is that?................
4 0
3 years ago
A widget company produces 25 widgets a day,5 of which are defective.Find the probability of selecting 5 widgets from the 25 prod
MariettaO [177]

Answer:

0.292

Step-by-step explanation:

Combinations can be used to solve the following problem.

We are choosing 5 widgets from 25 = ²⁵C₅

We want to select zero widgets from defective widgets = ⁵C₀

From the 20 non-defective widgets we want to select 5 = ²⁰C₅

So the probability is:

P = ( ⁵C₀ * ²⁰C₅) / ²⁰C₅

P = (1 * 15504) / 53130

= 15504/ 53130

=0.292 ..

7 0
3 years ago
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