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N76 [4]
2 years ago
9

X

Mathematics
1 answer:
AURORKA [14]2 years ago
8 0

Answer:

\theta \approx 1.23^\circ

Step-by-step explanation:

The expression has been given as:

tan(\theta) = \frac{50}{18}

Required: Find \theta

Simplify the fraction

tan(\theta) = 2.7778

Take arc tan of both sides

\theta = tan^{-1}(2.7778)

\theta \approx 1.23^\circ

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What is the slope intercept from of the equation of the line that that passes through the points (-3, 2) and (1, 5)
viva [34]

The slope-intercept form of a line:

y=mx+b\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\to slope\\\\b\to y-intercept

We have:

(-3,\ 2)\to x_1=-3,\ y_1=2\\(1,\ 5)\to x_2=1,\ y_2=5

Substitute:

m=\dfrac{5-2}{1-(-3)}=\dfrac{3}{4}

y=\dfrac{3}{4}x+b

Put the values of coordinates of the point (1, 5) to the equation of a line:

5=\dfrac{3}{4}(1)+b\\\\5=\dfrac{3}{4}+b\qquad|-\dfrac{3}{4}\\\\b=4\dfrac{1}{4}

Answer: y=\dfrac{3}{4}x+4\dfrac{1}{4}


5 0
2 years ago
What is the best name to describe an object that has four right angles, the opposite sides are parallel, and it has four equal s
MAXImum [283]

Answer:

D-Square

Step-by-step explanation:

That describes a square, so the answer a square.

6 0
3 years ago
Read 2 more answers
What are the coordinates of the terminal point determined by T=20pi/3
Serga [27]

Answer:

t=5x=3049

Step-by-step explanation:

3 0
2 years ago
Suppose 40% of the students in a university are baseball players. If a sample of 781 students is selected, what is the probabili
3241004551 [841]

Answer:

P(p>0.43) = 0.0436

Step-by-step explanation:

Given

p = 40\% -- proportion of baseball players

n = 781 --- selected sample

Required

Determine P(p>43%)

First, calculate the z score using:

Z = \frac{\^{p}-p}{\sqrt{\frac{p(1-p)}{n}}}

This gives:

Z = \frac{48\%-40\%}{\sqrt{\frac{40\% *(1 - 40\%)}{781}}}

Convert % to decimal

Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *(1 - 0.40)}{781}}}

Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *0.60}{781}}}

Z = \frac{0.43-0.40}{\sqrt{\frac{0.24}{781}}}

Z = \frac{0.03}{\sqrt{0.00030729833}}

Z = \frac{0.03}{0.01752992669}

Z = 1.71

So:

P(p>0.43) = P(Z>1.71)

P(p>0.43) = 1 - P(Z

P(p>0.43) = 1 - 0.9564

P(p>0.43) = 0.0436

5 0
2 years ago
ASAP I NEED HELP NOWW
marshall27 [118]

27 x 1.25= 33.75

5 x 1.99=9.95

1 x 1.50= 1.50

add that up =45.2

/26 students = 1.73 dollars

4 0
3 years ago
Read 2 more answers
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