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vredina [299]
2 years ago
12

Hep with this please

Mathematics
1 answer:
pishuonlain [190]2 years ago
6 0

Answer:

x = 23

Step-by-step explanation:

6x+19+x = 180

7x = 180 - 19

7x =  161

x = 161/7

x = 23

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Answer: A I think
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Can anybody solve this, it’s due soon
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Try looking it up becaus hard to understand
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Two people are 100 feet apart on opposite sides of a tree. The angles of elevation from the people to the top of the tree are 30
cricket20 [7]
We need to solve for the height of the tree given two angles and distance between the two observers. See attached drawing for a better understanding of the problem.
We derive to equations using SOH CAH TOA such as below:
sin30 = h / x
sin 45 = h / (100-x)

sin 45 (100-x) = xsin30 
70.71 - 0.71x = 0.5x
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4 0
2 years ago
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Both circle A and circle B have a central angle measuring 50°. The area of circle A's sector is 36π cm2, and the area of circle
slega [8]

Answer:

A) 3/4

Step-by-step explanation:

Given: Both circle A and circle B have a central angle measuring 50°.

           The area of circle A's sector is 36π cm2.

            The area of circle B's sector is 64π cm2.

We know, area of the circle= \pi r^{2}

lets assume the radius of circle A be "r_1" and radius of circle B be "r_2"

As given, Area of circle A and B´s sector is 36π and 64π repectively.

Now, writing ratio of area of circle A and B, to find the ratio of radius.

⇒\frac{\pi r_1^{2}  }{\pi r_2^{2} }  = \frac{36\pi }{64\pi }

Cancelling out the common factor

⇒ \frac{r_1^{2}  }{r_2^{2} }  = \frac{36 }{64}

⇒ (\frac{r_1  }{r_2} )^{2} = \frac{36 }{64}

Taking square on both side.

Remember; √a²= a

⇒ (\frac{r_1  }{r_2} ) =\sqrt{ \frac{36 }{64}}

⇒ (\frac{r_1  }{r_2} ) = \frac{6}{8}

⇒\frac{r_1  }{r_2}  = \frac{3}{4}

Hence, ratio of the radius of circle A to the radius of circle B is 3:4 or 3/4.

5 0
3 years ago
A line for tickets to a Broadway show had a mean waiting time of 20 minutes with a standard deviation of 5 minutes.
andrezito [222]

Answer:

5.48% of the people in line waited for more than 28 minutes

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean waiting time of 20 minutes with a standard deviation of 5 minutes.

This means that \mu = 20, \sigma = 5

What percentage of the people in line waited for more than 28 minutes?

The proportion is 1 subtracted by the p-value of Z when X = 28. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{28 - 20}{5}

Z = 1.6

Z = 1.6 has a p-value of 0.9452.

1 - 0.9452 = 0.0548.

As a percentage:

0.0548*100% = 5.48%

5.48% of the people in line waited for more than 28 minutes

6 0
2 years ago
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