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3 years ago

How to simplify using the laws of exponents

1 answer:

5 0

Here are the laws of exponents:

$(a^b)^c = a^{bc}$

$(a^b) (a^c) = a^{b+c}$

$\frac{a^b}{a^c} = a^{b-c}$

Hope that helps :)

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Please help!!!

Leto [7]

Answer:

- The scientist can use these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.

- The scientist can substitute these measurements into $cos\alpha=\frac{adjacent}{hypotenuse}$ and solve for the distance between the Sun and the shooting star (which would be the hypotenuse of the righ triangle).

Step-by-step explanation:

You can observe in the figure attached that "AC" is the distance between the Sun and the shooting star.

Knowing the distance between the Earth and the Sun "y" and the angle x°, the scientist can use only these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.

This is:

$cos\alpha=\frac{adjacent}{hypotenuse}$

In this case:

$\alpha=x\°\\\\adjacent=BC=y\\\\hypotenuse=AC$

Therefore, the scientist can substitute these measurements into $cos\alpha=\frac{adjacent}{hypotenuse}$ , and solve for the distance between the Sun and the shooting star "AC":

$cos(x\°)=\frac{y}{AC}$

$AC=\frac{y}{cos(x\°)}$

3 0

3 years ago

Read 2 more answers

When comparing prices for activities at a local recreation center, you notice that the center charges different prices on differ

nikklg [1K]

The activity type would be the input and the cost would be the output. Because there are two different costs for the same activity, this would not be a function.
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Hope this helps! :)

4 0

3 years ago

Read 2 more answers

Sarah’s mom took 3 hours to clean, but when Sarah helped, it took them 2 hours to clean. How many hours will it take Sarah to cl

Aleonysh [2.5K]

Answer:

It takes them 1.875 hours.

Step-by-step explanation:

Here, the job is cleaning the house.

Mom does 1 job in 3 hours.

In 1 hour, mom does 1/3 of the job.

Dad does 1 job in 5 hours.

In 1 hour, dad does 1/5 of the job.

Mom and dad working together do the job in x hours.

In 1 hour, mom and dad together do 1/x of the job.

1/3 + 1/5 = 1/x

5/15 + 3/15 = 1/x

8/15 = 1/x

8x = 15

x = 15/8 = 1.875

Answer: It takes them 1.875 hours.

your welcome

6 0

2 years ago

Read 2 more answers

Two children are sitting on a seesaw that is 12ft long. One child weighs 60lb. The other child weighs 90lb. How far from the 90-

jeyben [28]

Answer:

Step-by-step explanation:

moments about the fulcrum should be equal

IF x is the distance of the fulcrum from the 90 lb child

90[x] = 60[12 - x]

90x = 720 - 60x

150x = 720

x = 4.8 ft

90(4.8) = 432 ft•lb

60(12 - 4.8) = 432 ft•lb

3 0

3 years ago

Round off 75467 to the nearest thousand

gizmo_the_mogwai [7]

Answer:

75500

Step-by-step explanation:

6 0

3 years ago