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Karo-lina-s [1.5K]
3 years ago
13

Evaluate the following:(-8)2​

Mathematics
2 answers:
jek_recluse [69]3 years ago
6 0
You have to multiply. So your answer will be -16.
Zigmanuir [339]3 years ago
5 0

Answer:

<h3>-16</h3>

Step-by-step explanation:

PEMDAS- (Parenthesis, Exponents, Multiply, Divide, Add, and Subtract) from left to right.

BOMDAS- (Brackets, Of, Multiply, Divide, Add, and Subtract) from left to right.

(-8)2

-8*2 (First, remove parenthesis.)

-8*2=-16

-16

Therefore, the final answer is -16.

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The base of a right pyramid is a regular hexagon with sides of length 12 m. The altitude is 6 m. Find the total surface area of
Eva8 [605]

Answer:

806.12 m

Step-by-step explanation:

<u>Step 1: Write the data</u>

<em>Side (s) = 12</em>

<em>Altitude (h) = 6</em>

<u>Step 2: Write the formula for surface area of right hexagonal pyramid</u>

<em>Area = 3√3/2*s² + 3*s*√(h²+3s²/4)</em>

<u>Step 3: Substitute values of 's' and 'h'</u>

<em>Area = 3√3/2*(12)² + 3*(12)*√[6²+3(12)²/4]</em>

Area = 806.12 m

Therefore, the total surface area of the pyramid is 806.12 m.

!!

4 0
3 years ago
A quadrilateral has vertices at A(-5,5), B(1,8), C(4,2), and D(-2,-2). Use slope to determine if the quadrilateral is a rectangl
AysviL [449]

Answer:

The quadrilateral is not a rectangle

Step-by-step explanation:

we know that

If a quadrilateral ABCD is a rectangle

then

Opposite sides are congruent and parallel and adjacent sides are perpendicular

Remember that

If two lines are parallel, then their slopes are the same

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

A(-5,5), B(1,8), C(4,2), and D(-2,-2)

Plot the figure to better understand the problem

see the attached figure

Find the slope of the four sides and then compare

step 1

Find slope AB

A(-5,5), B(1,8)

substitute in the formula

m=\frac{8-5}{1+5}

m=\frac{3}{6}

m_A_B=\frac{1}{2}

step 2

Find slope BC

B(1,8), C(4,2)

substitute in the formula

m=\frac{2-8}{4-1}

m=\frac{-6}{3}

m_B_C=-2

step 3

Find slope CD

C(4,2), and D(-2,-2)

substitute in the formula

m=\frac{-2-2}{-2-4}

m=\frac{-4}{-6}

m_C_D=\frac{2}{3}

step 4

Find slope AD

A(-5,5), D(-2,-2)

substitute in the formula

m=\frac{-2-5}{-2+5}

m=\frac{-7}{3}

m_A_D=-\frac{7}{3}

step 5

Verify if the opposites are parallel

Remember that

If two lines are parallel, then their slopes are the same

The opposite sides are

AB and CD

BC and AD

we have

m_A_B=\frac{1}{2}

m_C_D=\frac{2}{3}

so

m_A_B \neq m_C_D

It is not necessary to continue verifying, because two of the opposite sides are not parallel

therefore

The quadrilateral is not a rectangle

4 0
3 years ago
A square family room has an area of 100 square meters. How long is each side?​
FromTheMoon [43]

Answer:

<em>Each side is 10 meters</em>

Step-by-step explanation:

Because since area is length times width, you would do 10x10 which is 100

4 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST AND POINTSSSS
KonstantinChe [14]

Answer:

1) no; 202 + 212 ≠ 282

2) yes; 142 + 482 = 502

3) 2

4)18.0

hope this helped

3 0
3 years ago
The solid figire shown consists of a cylinder and a cone​
mariarad [96]
Sorry
, their is no image attatched
8 0
3 years ago
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