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KonstantinChe [14]
3 years ago
8

Find the value of each expression. Show your work.

Mathematics
1 answer:
Verdich [7]3 years ago
4 0

Answer:

A) (1.2)^{2} = 1.44

B)2^ 3+17-(3\times 4) = 13

C)\frac{(9)^2}{(3)^3} = 3

Step-by-step explanation:

Here, the given expressions are:

A) (1.2)^{2}

Solving this, we get

(1.2)^{2}  = 1.2  \times 1.2 = 1.44

⇒(1.2)^{2}  = 1.44

B) 2^ 3+17-(3\times 4)

Now, solving this, we get

2^ 3+17-(3\times 4) = (2 \times 2 \times2) + (17 -12)\\=8 + 5 = 13

⇒2^ 3+17-(3\times 4) = 13

C) \frac{(9)^2}{(3)^3}

Simplifying this, we get

\frac{(9)^2}{(3)^3} = \frac{(9\times9)}{(3 \times 3\times3)}  = 3

⇒ \frac{(9)^2}{(3)^3} = 3

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If the sum of all interior angles of a regular polygon is 1080 degrees then number of sides of the polygon is?
MakcuM [25]

Answer:  8

<u>Step-by-step explanation:</u>

The formula for the sum of the angles of a polynomial is:

S_n=180(n-2)

1080 = 180(n - 2)

1080 = 180n - 360

1440 = 180n

8 = n

6 0
3 years ago
Find the area of an equilateral triangle that has perimeter of 24 m. ​
mafiozo [28]

we know the perimeter is 24, and is an equilateral triangle, so it has three equal sides, so each side is 24 ÷ 3 = 8.

\bf \textit{area of an equilateral triangle}\\\\ A=\cfrac{s^2\sqrt{3}}{4}~~ \begin{cases} s=side's\\ \qquad length\\ \cline{1-1} s = 8 \end{cases}\implies A=\cfrac{8^2\sqrt{3}}{4}\\\\\\ A=16\sqrt{3}\implies A\approx 24.71

6 0
3 years ago
The shorter leg of a right triangle is 5 inches shorter than the longer leg. The hypotenuse is 5 inches longer than the longer l
Licemer1 [7]

Answer:

longer leg: 20 in

shorter leg: 15 in

hypotenuse: 25 in

Formulas:

<u>Pythagorean Theorem</u>

c^2 = a^2 + b^2

c ... hypotenuse

a ... one leg

b ... another leg

Pythagorean theorem is used in right triangles (triangles in which one angle is 90°).

Step-by-step explanation:

longer leg: x

shorter leg: x - 5

hypotenuse: x + 5

To find x (longer leg), let's use Pythagorean theorem.

c^2 = a^2 + b^2\\(x+5)^2 = x^2 + (x-5)^2\\x^2 + 10x + 25= x^2 + x^2 -10x + 25\\x^2 + 10x = 2x^2 - 10x\\0 = x^2 - 20x

Now let's factorize to get solutions for x.

0 = x(x-20)

First solution:

x = 0

Second solution:

x - 20 = 0\\x = 20

Since a side of a triangle has to be a positive number, x is equal to 20.

Now let's just substitute x back to get side lengths. From the question the lengths are in inches.

longer leg: x = 20 in

shorter leg: x - 5 = 20 - 5 = 15 in

hypotenuse: x + 5 = 20 + 5 = 25 in

6 0
2 years ago
Please help I will give brainliest
pentagon [3]

The option that represents the answers for 6, 8, 10, and 14 is the second option-   31, 41, 51, 71

<h3>Sequence and Series </h3>

From the question, we are to determine the option that represents the answer for pictures 6, 8, 10, and 14

In the given diagram,

The first picture requires 6 matches

The 2nd picture requires additional 5 matches

the 3rd  picture requires additional 5 matches

and so on

That is

1 → 6

2 → 6 + 5 = 11

3 → 11 + 5 = 16

4 → 16 + 5 = 21

5 → 21 + 5 = 26

6 → 26 + 5 = 31

7 → 31 + 5 = 36

8 → 36 + 5 = 41

9 → 41 + 5 = 46

10 → 46 + 5 = 51

11 → 51 + 5 = 56

12 → 56 + 5 = 61

13 → 61 + 5 = 66

14 → 66 + 5 = 71

Hence, the option that represents the answers for 6, 8, 10, and 14 is the second option-   31, 41, 51, 71

Learn more on Sequence and Series here: brainly.com/question/10321751

#SPJ1

7 0
1 year ago
Math workshops and final exams: The college tutoring center staff are considering whether the center should increase the number
N76 [4]

Answer:

Final Exam score is the response variable.

Step-by-step explanation:

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8 0
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