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allsm [11]
2 years ago
13

Find the opposite of the opposite of each integer. 5. -4 7. 8 6. -15 8. -7

Mathematics
1 answer:
Allushta [10]2 years ago
4 0

Answer:

5: 4

7: -8

6: 15

8: 7

I hope this helps you <3

Step-by-step explanation:

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1. The figure shows the regular triangular pyramid SABC. The base of the pyramid has an edge AB = 6 cm and the side wall has an
Musya8 [376]

Given:

• AB = 6 cm

,

• SM = √15 cm

Let's solve for the following:

• 1) the base elevation AM.

Given that we have a regular triangular pyramid, the length of the three bases are equal.

AB = BC = AC

BM = BC/2 = 6/2 = 3 cm

To solve for AM, which is the height of the base, apply Pythagorean Theorem:

\begin{gathered} AM=\sqrt{AB^2-BM^2} \\  \\ AM=\sqrt{6^2-3^2} \\  \\ AM=\sqrt{36-9} \\  \\ AM=\sqrt{27} \\  \\ AM=5.2\text{ cm} \end{gathered}

The base elevation of the pyramid is 5.2 cm.

• (2)., The elevation SO.

To find the elevation of the pyramid, apply Pythagorean Theorem:

SO=\sqrt{SM^2-MO^2}

Where:

SM = √15 cm

MO = AM/2 = 5.2/2 = 2.6 cm

Thus, we have:

\begin{gathered} SO=\sqrt{(\sqrt{15})^2-2.6^2} \\  \\ SO=\sqrt{15-6.76} \\  \\ SO=2.9\text{ cm} \end{gathered}

Length of SO = 2.9 cm

• (3). Area of the base:

To find the area of the triangular base, apply the formula:

A=\frac{1}{2}*BC*AM

Thus, we have:

\begin{gathered} A=\frac{1}{2}*6^*5.2 \\  \\ A=15.6\text{ cm}^2 \end{gathered}

The area of the base is 15.6 square cm.

• (4). Area of the side surface.

Apply the formula:

SA=\frac{1}{2}*p*h

Where:

p is the perimeter

h is the slant height, SM = √15 cm

Thus, we have:

\begin{gathered} A=\frac{1}{2}*(6*3)*\sqrt{15} \\  \\ A=34.86\text{ cm}^2 \end{gathered}

• (5). Total surface area:

To find the total surface area, apply the formula:

TSA=base\text{ area + area of side surface}

Where:

Area of base = 15.6 cm²

Area of side surface = 34.86 cm²

TSA = 15.6 + 34.86 = 50.46 cm²

The total surface area is 50.46 cm²

• (6). Volume:

To find the volume, apply the formula:

V=\frac{1}{3}*area\text{ of base *height}

Where:

Area of base = 15.6 cm²

Height, SO = 2.9 cm

Thus, we have:

\begin{gathered} V=\frac{1}{3}*15.6*2.9 \\  \\ V=15.08\text{ cm}^3 \end{gathered}

The volume is 15.08 cm³.

ANSWER:

• 1.) 5.2 cm

,

• 2.) 2.9 cm

,

• 3.) 15.6 cm²

,

• 4.) 34.86 cm²

,

• (5). 50.46 cm²

,

• 6). 15.08 cm³.

7 0
1 year ago
Use any method to work these out, but do NOT use a calculator.
Artemon [7]

Answer:

A) 216

B) 64.5

Step-by-step explanation:

         40

x     5.40

___________

You can solve it like that, I don't remember what it is called.

4 0
3 years ago
A recipe that serves 24 people calls for 4 liters of lemon-lime soda, 2 pints of sherbet, and 6 cups of ice. How much of each in
bogdanovich [222]
Split each ingredient in half 2 liters of lemon lime soda 1 pint of sherbet and 3 cups of ice
7 0
3 years ago
2. Find the value of root4 (81)-2​
arlik [135]
<h2>Answer: <u><em>1</em></u></h2>

<u />

Step-by-step explanation:

\sqrt[4]{81} -2\\=3-2 \\=1

6 0
2 years ago
Read 2 more answers
What is the f of x over the g of x when f(x) = 6x3 − 19x2 + 16x − 4 and g(x) = x − 2? (2 points)
VikaD [51]
You're being asked to divide 6x^3 - 19x^2 + 16x - 4 by x - 2.

Try using synthetic division, if you know it:

     _______________
2  /   6    -19    16    -4
              12     -14    4
    --------------------------
        6     -7       2     0

6, -7 and 2 are the coefficients of the quotient.  The quotient (answer to this question) is

6x^2 - 7x + 2
4 0
3 years ago
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