The sketch of this crayon represents an irregular polygon. Find the area of the figure. 21.75 cm²

Help needed ASAP will give BRAINLIEST and 5 stars rate

Reil [10]

The answer is 7/5. I attached the work below.

4 0

3 years ago

Please I need help it's really hard

Vitek1552 [10]

I'd say angle A = angle B
arc tangent (angle B) = 150 / 555
arc tangent (angle B) = 0.2702702703 
angle B = 15.124 degrees

By the way 555 feet is the height of the Washington Monument.

3 0

3 years ago

In 1982 Abby’s mother scored at the 93rd percentile in the math SAT exam. In 1982 the mean score was 503 and the variance of the

oksian1 [2.3K]

Answer:

The percentle for Abby's score was the 89.62nd percentile.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation(which is the square root of the variance) $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Abby's mom score:

93rd percentile in the math SAT exam. In 1982 the mean score was 503 and the variance of the scores was 9604.

93rd percentile. X when Z has a pvalue of 0.93. So X when Z = 1.476.

$\mu = 503, \sigma = \sqrt{9604} = 98$

So

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

$1.476 = \frac{X - 503}{98}$

$X - 503 = 1.476*98$

$X = 648$

Abby's score

She scored 648.

$\mu = 521 \sigma = \sqrt{10201} = 101$

So

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

$Z = \frac{648 - 521}{101}$

$Z = 1.26$

$Z = 1.26$ has a pvalue of 0.8962.

The percentle for Abby's score was the 89.62nd percentile.

3 0

3 years ago

Sometimes, always, or never true?:14x+3x-7=7x+7-4x

kobusy [5.1K]

Always will be your answer ;D

4 0

3 years ago

Solve 5^3x+1 = 4^x-5 for x

tensa zangetsu [6.8K]

For the equation $5^{3x+1}=4^{x-5}$ take the $\log$ from both sides:

$\log 5^{3x+1}=\log 4^{x-5},\\ \\(3x+1)\log 5=(x-5)\log 4.$

Find x:

$3x\log 5+\log 5=x\log 4-5\log 4,\\ \\3x\log 5-x\log 4=-5\log 4-\log 5,\\ \\x(3\log 5-\log 4)=-5\log 4-\log 5,\\ \\x=\dfrac{-5\log 4-\log 5}{3\log 5-\log 4}=\dfrac{5\log 4+\log 5}{\log 4-3\log 5}.$

Answer: correct choice is D

7 0

3 years ago

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