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Ainat [17]
3 years ago
5

Expand and simplify: (x + 6)2

Mathematics
1 answer:
Sloan [31]3 years ago
8 0
(x + 6)2 \\ \\ 2x + 2 \times 6 \ / \ distribute \\ \\ 2x + 12 \ / \ simplify \\ \\ Answer: \fbox {2x + 12}
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Please help: Find the volume of the solid. Use 3.14 for π.
Kazeer [188]

Answer:

The volume of the solid is 420m³

Step-by-step explanation:

The area of any pyramid is "1/3 · B · h", where B is the area of the base, and h is the height.

Knowing this we just need to solve for a couple of things.

First, and the easiest is the height of the triangle which (thankfully) is given to us. The height is 15m, which plus one number into our equation.

1/3 · B · 15

Second, we need to find the area of the base of the pyramid. That's done easily by finding the area of a triangle ( \frac{base * height}{2} → \frac{24*7}{2} → \frac{168}{2} → 84) giving us 84 units. This puts another number into our equation.

1/3 · 84 · 15

Now that we have all of the parts to our equation, we can solve it.

1/3 · 84 · 15

1/3 · 1260

420

The volume of the solid is 420m³

6 0
4 years ago
Find the volume of the cone. Round your answer to the nearest tenth if necessary. Use 3.14 for it.
Korolek [52]

Answer:

452.448cm^3

Step-by-step explanation:

Given data

Height= 25cm

Diamter= 12cm

Radius= 6cm

The expression for the volume of a cone is given as

V= 1/3*πr^2h

Substitute

V= 1/3*3.142*6^2*25

V=  1/3*3.142*36*12

V=  1/3*1357.344

V=452.448cm^3

Hence the volume is 452.448cm^3

8 0
3 years ago
Answer choices <br>• (2⅓)<br>• (1⅔)<br>• (9,-6) <br>•(1⁴/³)​
Marianna [84]

                                    303.875303.875303.875303.875303.875303.875303.875

3 0
3 years ago
Find the area, in square feet, of a triangle whose base is 42⁄3 feet and whose altitude is 84⁄7 feet. A. 135⁄21 B. 20 C. 40 D. 2
CaHeK987 [17]

Answer:

Option B. 20\ ft^{2}

Step-by-step explanation:

we know that

The area of a triangle is equal to

A=\frac{1}{2}bh

we have

b=4\frac{2}{3}\ ft

h=8\frac{4}{7}\ ft

Convert mixed numbers to an improper fractions

b=4\frac{2}{3}\ ft=\frac{4*3+2}{3}=\frac{14}{3}\ ft

h=8\frac{4}{7}\ ft=\frac{8*7+4}{7}=\frac{60}{7}\ ft

substitute the values

A=\frac{1}{2}(\frac{14}{3})(\frac{60}{7})\\ \\A=\frac{14*60}{2*3*7}\\ \\A=\frac{840}{42} \\ \\A=20\ ft^{2}

5 0
3 years ago
Read 2 more answers
I really need help with this question, pls help!!
Marrrta [24]

Answer:

Step-by-step explanation:

Here the average rate of change would be

                  f(6) - f(1)      162 - (-8)

a. r. of c. =  ----------- = ------------------ = 154/5 = 308/10 = 30.8 or 30 8/10

                      6-1                  5                     or  30 4/5

6 0
4 years ago
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