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3 years ago

Write 7^3 × √ 7 as a single power of 7

Mathematics

1 answer:

olga_2 [115]3 years ago

8 0

Step-by-step explanation:

7^3 × 7^(1÷2)

= 7^(3+ 0.5)

=7^3.5 ans

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Calculate the size of each interior angle of a regular polygon with 14 sides

Ierofanga [76]

Answer:

154.285

Step-by-step explanation:

The sum of the interior angles of a 14-gon = (14-2)*180 = 2,160 degrees. There are 14 vertexes (vertices) for a 14-gon. It is 'regular' so all these angles are equal. By dividing 2160 (sum of all angles) by 14 (total amount of angles) we can see how much each angle is worth. So the interior angle of each is 154.285 degrees.

4 0

3 years ago

Answer all of these and I will give you 35 points!!!!!!!!!!!!!!!!!!!!!

aev [14]

9. LCM of 9, 12, and 15 is 180

12. LCM of 15, 18, and 30 is 90

15. LCM of 40 and 1 is 40

16: factors of 24 : 1,2,3,4,6,8,12, and 24

17: factors of 63 : 1, 2, 4, 8, 16, 32 and 64.

18: factors of 50 : 1, 2, 5, 10, 25, and 50

19: LCM of : 3 , 2 , 7 is 42

20: LCM of : 15 , 2 is 30

21: LCM of : 45, 30 is 90

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7 0

2 years ago

GIVING BRAINLIEST!!!!!

Mashutka [201]

Answer:

D' : (2, 1)

E' : (2, 3)

A' : (5, 3)

Step-by-step explanation:

6 0

1 year ago

Read 2 more answers

If w = 12 units, x = 7 units, and y = 8 units, what is the surface area of the figure? Figure is composed of a right square pyra

bearhunter [10]

Answer:

720 sq units.

Step-by-step explanation:

Length and width of square prism, w = 12 units

Height of square prism, x = 7 units

Height of square pyramid, y = 8 units

Please have a look at the attached image.

Here 2 Surfaces will not be exposed which are base of the square pyramid and the top of the square prism i.e. 2 square surfaces will not be exposed.

Here, surface area of the composite figure will be:

Surface Area of Composite Figure = Lateral surface area of Square Pyramid + Surface Area of 5 surfaces of the square prism

For finding the lateral surface area of pyramid, we need to find the slant height of the pyramid.

Let slant height be $l$ units.

Using pythagoras theorem, we can find out the value of $l$ .

As per theorem:

$Hypotenuse^{2} = Base^{2} + Height^{2}\\$

$\Rightarrow l^{2} = (\dfrac{w}{2})^{2} + y^{2}\\\Rightarrow l^{2} = (\dfrac{12}{2})^{2} + 8^{2}\\\Rightarrow l^{2} = {6}^{2} + 8^{2}\\\Rightarrow l^{2} = 36+64 = 100\\\Rightarrow l = 10\ units$

Lateral surface area of square prism = 4 $\times$ Area of triangular surface

$\Rightarrow 4 \times \dfrac{1}{2}\times Base \times Slant\ Height\\\Rightarrow 4 \times \dfrac{1}{2} \times 10 \times 12\\\Rightarrow 240\ sq\ units$