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4 years ago

Find the length of side y

Mathematics

1 answer:

Serggg [28]4 years ago

8 0

Answer:

$\large\boxed{y=76.3359\ cm\approx76.3\ cm}$

Step-by-step explanation:

Use cosine:

$cosine=\dfrac{adjacent}{hypotenuse}$

We have

$adjacent=73\ cm\\hypotenuse=y$

and the angle 17°.

$\cos17^o\approx0.9563$

Substitute:

$\dfrac{73}{y}=0.9563$ convert the decimal to the fraction

$\dfrac{73}{y}=\dfrac{9563}{10000}$ cross multiply

$9563y=730000$ divide both sides by 9563

$y=\dfrac{730000}{9563}$

$y\approx76.3359$

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The graph shows the yearly balance, in dollars, in an investment account.

Temka [501]

Take 2 points

(0,5000)
(2,4000)

Slope:-

$\\ \rm\Rrightarrow m=\dfrac{4000-5000}{2}=-500$

Equation in point slope form

$\\ \rm\Rrightarrow y-5000=-500(x)$

$\\ \rm\Rrightarrow y=-500x+5000$

Initial amount=y intercept=5000

6 0

2 years ago

I need help!!!! Evaluate 4/7 + 8/3 in fraction form

Reptile [31]

Answer:

3 5/21.
68/21

Step-by-step explanation:

Given equation:

4/7 + 8/3

Solve:

4/7 + 8/3
= 12/21 + 56/21
= $\frac{12 + 56}{21 + 0}$
= 3 5/21.
= 68/21.

8 0

2 years ago

5. Based on recent results, scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312.

Mekhanik [1.2K]

Answer:

The actual SAT score is 2024.

The equivalent ACT score is 29.49.

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.

SAT score that is in the 95th percentile

Scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312, which means that $\mu = 1511, \sigma = 312$