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3 years ago

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

Mathematics

1 answer:

babymother [125]3 years ago

7 0

Answer:

x ≈ 40.0°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan x = $\frac{opposite}{adjacent}$ = $\frac{WX}{VW}$ = $\frac{57}{68}$ , then

x = $tan^{-1}$ ( $\frac{57}{68}$ ) ≈ 40.0° ( to the nearest tenth )

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Hat is the solution to the system of equations?

Dima020 [189]

Answer:

(–19, 55)

Step-by-step explanation:

y = –3x – 2 equation 1

5x + 2y = 15 equation 2

using equation 1 in equation 2 we have:

5x + 2(–3x – 2) = 15

5x –6x – 4 = 15

-x = 15+4

x=-19

using equation 1:

y = -3(-19)- 2

y= 57-2

y= 55

5 0

3 years ago

PLEASE ANSWER QUICK A manufacturing facility pays its employees an average wage of $4.50 an hour with a standard deviation of 50

evablogger [386]

Answer:

B.77.4%

Step-by-step explanation:

Mean wage (μ) = $4.50

Standard deviation (σ) = $0.50

For nay given salary X, the z-score is given by:

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

For X = $3.75, the z-score is:

$z=\frac{3.75-4.50}{0.50}\\z=-1.5$

For X = $5.00, the z-score is:

$z=\frac{5.00-4.50}{0.50}\\z=1$

A z-score of -1.5 corresponds to the 6.68th percentile, while a score of 1 corresponds to the 84.13th percentile. Therefore, the percentage of workers getting paid between $3.75 and $5.00 an hour is:

$P=84.13-6.68\\P=77.45\%$

The answer is alternative B.77.4%

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3 years ago

using approximations to 1 significant figure, estimate the value of 9.94² × 29.7 you must show your working

zvonat [6]

Answer:

2934.5

Step-by-step explanation:

2934.46692 Rounded to 1 Sig Fig is 2934.5

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Strike441 [17]

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3 years ago

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Tanya [424]

The answer to this is <span>13.34.</span>

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