Solve for x. Round to the nearest tenth, if necessary.

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

8 0

Answer:

x = 63.9

Step-by-step explanation:

We have:

$\frac{QR}{sin35}$ = $\frac{78}{sin90}$

=> QR × sin90 = 78 × sin35

=> QR × sin90 = 44.7

=> QR = 44.7

But, we also have: $x^{2}$ + $QR^{2}$ = $78^{2}$ <=> $x^{2}$ + $44.7^{2}$ = $78^{2}$ <=> $x^{2}$ = 6084 - 1998.09

=> $x^{2}$ = 4085.91

=> x = $\sqrt{4085.91}$ = 63.9211.. = 63.9

<3 Have a nice day!!

You might be interested in

Lengths of full-term babies in the US are Normally distributed with a mean length of 20.5 inches and a standard deviation of 0.9

mash [69]

Answer:

66.48% of full-term babies are between 19 and 21 inches long at birth

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 length of 20.5 inches and a standard deviation of 0.90 inches.

This means that $\mu = 20.5, \sigma = 0.9$