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lord [1]
3 years ago
7

Practice: Organizing InformationComplete the chart to describe the exponents laws and rules.

Mathematics
1 answer:
snow_tiger [21]3 years ago
6 0
Following the generalized form that you wrote, you know that a negative exponent sends its base to the denominator (or numerator if it's in the denominator already). Or to put it formally as you wrote it, for any nonzero real number a and natural number n, <span>the negative rule of exponents states that </span>a^{-n} =  \frac{1}{a^n}.

So, 6^{-2}= \frac{1}{6^{2}} =  \frac{1}{36}.
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garri49 [273]
Your answer would be 14 because 70÷5= 14
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3 years ago
The following picture is a square pyramid where DE=8 cm and m∠ADE=60°.
Goryan [66]

<u>Given</u>:

The length of DE is 8 cm and the measure of ∠ADE is 60°.

We need to determine the surface area of the pyramid.

<u>Length of AD:</u>

The length of AD is given by

cos 60^{\circ}=\frac{FD}{8}

       4=FD

Length of AD = 8 cm

<u>Slant height:</u>

The slant height EF can be determined using the trigonometric ratio.

Thus, we have;

     sin \ 60^{\circ}=\frac{EF}{8}

sin \ 60^{\circ} \times 8=EF

      \frac{\sqrt{3}}{2} \times 8=EF

          4\sqrt{3}=EF

Thus, the slant height EF is 4√3

<u>Surface area of the square pyramid:</u>

The surface area of the square pyramid can be determined using the formula,

SA=Area \ of \ square + \frac{1}{2} (Perimeter \ of \ base ) (slant \ height)

Substituting the values, we have;

SA=8^2+\frac{1}{2}(8+8+8+8)(4 \sqrt{3})

SA=64+\frac{1}{2}(32)(4 \sqrt{3})

SA=64+(16)(4 \sqrt{3})

SA=64+64 \sqrt{3}

The exact form of the area of the square pyramid is 64+64 \sqrt{3}

Substituting √3 = 1.732 in the above expression, we have;

SA = 64 + 110.848

SA = 174.848

Rounding off to one decimal place, we get;

SA = 174.8

Thus, the area of the square pyramid is 174.8 cm²

7 0
2 years ago
Read 2 more answers
What is 30% of 70? Please help.
garik1379 [7]
Hi lovely,

The answer you're looking for is 21.
3 0
2 years ago
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Solve to get the value of h
iragen [17]
The answer to the question is h=64 degrees
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2 years ago
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6th grade math plz help
ella [17]

Answer:

The question needs more information but you can see that all the numbers in the 1st column are multiplied by 6 to equal the number in column 2

Step-by-step explanation:

3 x6 =18

6 x 6= 36

9 x6= 54

12 x6 =72

6 0
3 years ago
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