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xxTIMURxx [149]
4 years ago
8

Please Help!

Mathematics
1 answer:
Lisa [10]4 years ago
7 0
We know that

in the right triangle
sin x=opposite side angle x/hypotenuse
opposite side angle x=66 mm
hypotenuse=79 mm
so
sin x=66/79
x=arc sin (66/79)-------> x=56.66°-------> x=56.7°

the answer is
x=56.7°
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When Lorenzo finished his exam last week, he thought the test was over. But the instructor put z-scores on each student's paper
Anarel [89]

Answer:

Lorenzo's score on exam was 75.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 61

Standard Deviation, σ = 8

We are given that the distribution of test score is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

z-score = 1.75

We have to find the value of x.

Putting values, we get

1.75 = \dfrac{x - 61}{8}\\\\x = 1.75(8) + 61\\x = 75

Thus, Lorenzo's score on exam was 75.

5 0
4 years ago
WaSsUpDuD Answer quickly!!!! What’s 4+6+7+2+9+2+9+3??
Vinvika [58]

Answer:

42

Step-by-step explanation:

4+6 = 10

10+7 = 17

17+2 = 19

19+9 = 28

28+2 = 30

30+9 = 39

39+3 = 42

3 0
4 years ago
Read 2 more answers
A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 43 ft/s. Its height
Lina20 [59]

Answer:

Instantaneous Velocity at t = 1 is 20 feet per second

Step-by-step explanation:

We are given he following information in the question:

y(t)=43t-23t^{2}

B) Instantaneous Velocity at t = 1

y(1) = 43(1)-23(1)^2 = 20

A) Formula:

Average velocity =

\displaystyle\frac{\text{Displacement}}{\text{Time}}

1) 0.01

y(1 + 0.01)=y(1.01) = 43(1.01)-23(1.01)^{2} = 19.9677\\\\\text{Average Velocity} = \dfrac{y(1.01)-y(1)}{1.01-1} =\dfrac{19.9677-20}{1.01-1}= \dfrac{-0.0323}{0.01} = -3.230000 \text{feet per second}

2) 0.005 s

y(1 + 0.005)=y(1.005) = 43(1.005)-23(1.005)^{2} = 19.984425\\\\\text{Average Velocity} = \dfrac{y(1.005)-y(1)}{1.005-1} =\dfrac{19.984425-20}{1.005-1} = -3.1150000 \text{feet per second}

3) 0.002 s

y(1 + 0.002)=y(1.002) = 43(1.002)-23(1.002)^{2} = 19.993908\\\\\text{Average Velocity} = \dfrac{y(1.002)-y(1)}{1.002-1} =\dfrac{19.993908-20}{1.002-1} = -3.0460000 \text{feet per second}

4) 0.001 s

y(1 + 0.001)=y(1.001) = 43(1.001)-23(1.001)^{2} = 19.996977\\\\\text{Average Velocity} = \dfrac{y(1.001)-y(1)}{1.001-1} =\frac{19.996977-20}{1.001-1} = -3.0230000 \text{feet per second}

3 0
3 years ago
A farmer owns a total of 10 acres of land. The land is separated into 43 equally sized sections. How many acres are in each sect
Pepsi [2]

Answer:

\frac{10}{43} acres

Step-by-step explanation:

Divide 10 by 43:

10/43

In simplest form as a fraction, this is \frac{10}{43}

So, each section would have \frac{10}{43} acres

4 0
3 years ago
Read 2 more answers
You can upgrade lighting at your factory to LED bulbs that cost $6.95 each and last an average of 5 years. It costs S3 in labor
marshall27 [118]

Answer:

11.95 dollars

Step-by-step explanation:

Cost of one LED bulb = 6.95 dollars

Cost of changing one bulb = 3 dollars

Life of each bulb = 5 years.

In 10 years, only one time after 5 years the bulbs would have been changed

Hence cost of 100 lamps = 695 and

cost of changing once = 500

Total cost = 1195 dollars for 11 years

Divide this by 10 years to get average cost per year

Cost of 100 lamps per year = 1195/100 = 11.95 dollars


8 0
3 years ago
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