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Vladimir79 [104]
3 years ago
9

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    <u><em>9, 12, and 15</em></u>        is   <u><em>180</em></u>

12.  LCM of  <em><u>15, 18, and 30</u></em>      is   <u><em>90</em></u>

15.  LCM of   <u><em>40 and 1</em></u>      is   <u><em>40</em></u>

16:  factors of <u><em>24</em></u> :    <em>1,2,3,4,6,8,12,  and 24</em>

17:  factors of <u><em>63</em></u> :     <em><u>1, 2, 4, 8, 16, 32 and 64.</u></em>

18:  factors of <u><em>50</em></u> :    <em><u>1, 2, 5, 10, 25, and 50</u></em>

19:   LCM of : <u><em>3 , 2 , 7</em></u><em>  </em>  is  <u><em>42</em></u>

20:  LCM of : <u><em>15 , 2</em></u>        is  <u><em>30</em></u>

21:   LCM of : <u><em>45,  30 </em></u><em>    </em>is <u><em>90</em></u>

<h2 />

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:

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

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

Surface Area of 5 surfaces of the square prism =

4 \times x \times w + w^2\\\Rightarrow 4 \times 12 \times 7 + 12^2\\\Rightarrow 336 +144\\\Rightarrow 480\ sq\ units

So, total surface area of composite figure:

240 + 480 = 720 sq units.

7 0
2 years ago
What is the reciprocal of ?8/5
hodyreva [135]


The reciprocal is C. 5/8 

Hope this helps:)

5 0
3 years ago
Read 2 more answers
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