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fenix001 [56]
2 years ago
11

A penny is dropped from a point on a bridge 94 feet above the surface of the river. If the penny travels 250 feet straight down

before it lands at the bottom of the river, find the depth of the river where the penny landed.
please provide with the strategies please!! ​
Mathematics
1 answer:
DanielleElmas [232]2 years ago
6 0

Answer:

156 ft

Step-by-step explanation:

the depth of the river =

250-94 = 156 ft

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Cot (15 degrees)
STatiana [176]

Answer:

Part I: cot(15 degrees) = cot(45 - 30)

Part II: Evaluation is below

Step-by-step explanation:

<em>Everything is done in degrees</em>

<em />

Two angles that differ by 15 degrees that is easy to evaluate is 30 degrees and 45 degrees. The cot(15 degrees) = cot(45 - 30) = 1/tan(45-30) = (1+tan45tan30)/(tan30 - tan45) = (1+ sqrt(3))/(sqrt(3) - 1)

We rationalize this by multiplying 1+ sqrt(3) in the top and bottom, getting:

(4 + 2sqrt(3))/2 = 2 + sqrt(3)

I hope this helps! :)

8 0
2 years ago
A study was conducted in order to estimate μ, the mean number of weekly hours that U.S. adults use computers at home. Suppose a
777dan777 [17]

Answer:

The point estimate for \mu is 8.5 hours.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

In this problem

We are working with a sample of 81 adults, so the point estimae of the mean  is the mean number of weekly hours that U.S. adults use computers at home.

So, the point estimate for \mu is 8.5 hours.

6 0
3 years ago
Help graph questions. (20 points)
Romashka [77]
15 percent
Its 15 percent for the reason that I th k it’s is
3 0
3 years ago
Read 2 more answers
What is the value of x in this figure?
8090 [49]
This is a 45-45-90 triangle  and the ratios of the sides are 1 : 1 : sqrt2  where sqrt2 is the length of the hypotenuse ( longest side)

So the measure of x = 12 sqrt2  which is the first choice.
4 0
3 years ago
Solve this equation for x. Round your answer to the nearest hundredth. 0.77 = log x​
Alekssandra [29.7K]

Answer:

x ≈ 5.89

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra II</u>

  • Exponential to Logarithmic:                                                                             \displaystyle b^m=x \rightarrow log_bx=m

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

0.77 = log(x)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Equality Property] Raise both sides to the 10th power:                                \displaysytle 10^{0.77} = 10^{logx}
  2. Simplify:                                                                                                             \displaysytle x = 10^{0.77}
  3. Evaluate:                                                                                                           \displaysytle x = 5.88844
8 0
3 years ago
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