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4 years ago

Simplify 7^-9 x 7^-7x 7^-9 leaving your answer in the form a^n where a is a whole number

1 answer:

7 0

${7}^{ - 9} \times {7}^{ - 7} \times {7}^{ - 9} \\ = {7}^{ (- 9) + ( - 7) + ( - 9)} \\ = {7}^{ - 9 - 7 - 9} \\ = {7}^{ - 25}$

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Mrs. Kim is teaching a 5th grade class. She is standing 48 feet in front of Lester. Carey is sitting to Lester's right. If Carey

victus00 [196]

Lester and Carey are 14 feet apart

Step-by-step explanation:

Mrs. Kim is teaching a 5th grade class

She is standing 48 feet in front of Lester
Carey is sitting to Lester's right
Carey and Mrs. Kim are 50 feet apart

We need to find how far apart Lester and Carey

Look to the attached figure

The positions of Mrs. Kim, Lester, and Carey formed a right triangle

∵ The distance between Mrs. Kim and Carey is 50 feet

∴ The length of the hypotenuse of the Δ = 50 feet

∵ The distance between Mrs. Kim and Lester is 48 feet

∴ The length of one leg of the Δ = 48 feet

The formula of length of the sides of the right Δ is:

$(hypotenuse)^{2}=(leg_{1})^{2}+(leg_{2})^{2}$

Substitute the length of the hypotenuse and the length of the given leg in the formula above

∵ (50)² = (48)² + (leg)²

∴ 2500 = 2304 + (leg)²

- Subtract 2304 from both sides

∴ 196 = (leg)²

- Take square for both sides

∴ 14 = leg

∵ This leg represents the distance between Lester and Carey

∴ The distance between Lester and Carey = 14 feet

Lester and Carey are 14 feet apart

Learn more:

You can learn more about the right triangle in brainly.com/question/1238144

#LearnwithBrainly

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3 years ago

jose spent 6 hours in school. each school period is 3/4 hour long. how many period did jose spend in school?

34kurt

Answer:

why are you asking me ask jose

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3 years ago

What are two other ways to name plane C?

svetoff [14.1K]

Answer: Other names for plane C can be plane EFG or plane EBF hope that helps (:

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3 years ago

I need help rlly bad I have no idea what’s the answer plsss help me!!!

lyudmila [28]

Answer:

n = 6 $\sqrt{3}$

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = $\frac{\sqrt{3} }{2}$ , then

sin30° = $\frac{opposite}{hypotenuse}$ = $\frac{n}{12}$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

2n = 12 $\sqrt{3}$ ( divide both sides by 2 )

n = 6 $\sqrt{3}$

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2 years ago

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A study found that soda sales increase in stores located in neighborhoods that have banned soda sales in schools which best

Nat2105 [25]

Answer:

Step-by-step explanation:

No attempt is made to influence anything - just ask questions and record the responses. By definition, An observational study measures the characteristics of a population by studying individuals in a sample, but does not attempt to manipulate or influence the variables of interest.

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3 years ago