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sweet-ann [11.9K]
2 years ago
8

Rewrite the following expression using base only once 7^6 x 7^8

Mathematics
1 answer:
chubhunter [2.5K]2 years ago
3 0

Answer:

7^{14}

Step-by-step explanation:

Using the rule of exponents

a^{m} × a^{n} = a^{(m+n)} , then

7^{6} × 7^{8} = 7^{(6+8)} = 7^{14}

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Round 3208 to the nearest ten place
polet [3.4K]

Answer:

3210

Step-by-step explanation:

When rounding to the nearest 10, 100, 1000 and so on, the number digit before it has to be 5 or above. in this case, the number before the tenth placement digit is 8. Rounding it to 3210.

P.S

Have an Amazing Day!

<em><u>Faker/Tosrel</u></em>

3 0
3 years ago
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Refer to the table below if needed.
elena-14-01-66 [18.8K]

A quadrant is the area that is divided into the x and y axes

The quadrants in which tan \theta and cot \theta are positive are I and III

<h3>How to determine the quadrants</h3>

The tangent of an angle is calculated as:

\tan(\theta) = \frac{sin(\theta)}{\cos(\theta)}

While the cotangent of the angle is calculated as:

\cot(\theta) = \frac{cos(\theta)}{\sin(\theta)}

The above equations mean that:

For the tangent and cotangent of an angle to be positive, then the sine and the cosine of the angle must have the same sign.

  • In the first quadrant, the sine and the cosine angles are positive.
  • In the third quadrant, the sine and the cosine angles are negative.

Hence, the quadrants in which tan \theta and cot \theta are positive are I and III

Read more about trigonometry ratios at:

brainly.com/question/8120556

7 0
2 years ago
what is the area and perimeter of the figure with the given vertices? (7,8) , (-5, -8) , (7,-8) , (-5,8)?
MArishka [77]

Answer:

  • perimeter: 56 units
  • area: 192 square units

Step-by-step explanation:

We assume you're interested in the convex polygon, so the given vertices are <em>not</em> listed in order around the figure.

The figure is 12 units by 16 units, so has a perimeter of ...

  P = 2(L +W)

  P = 2(16 +12) = 56 . . . . units

and an area of ...

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6 0
2 years ago
A long distance runner can run 2 miles every 17 minutes. At this rate how ling would it take the runner to run 16 miles.
VLD [36.1K]

Answer:

136 minutes

Step-by-step explanation:

Given :

2 miles ----> takes 17 min

1 mile -----> takes 17/2 min

hence the unit rate is (17/2) min per mile

Thus, 16 miles will take

= (17/2) miles per min x 16 miles

= (17/2) x 16

= 136 minutes

6 0
3 years ago
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What multiplication fact could you use to find a number that can be divided evenly by 8 and by 9?
agasfer [191]
72 can be divided by 8 and 9 because if you multiplied 8 and 9 together it is 72
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