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PtichkaEL [24]
3 years ago
9

Determine the measure of ∠Q, rounded to the nearest tenth of a degree. images attached.

Mathematics
1 answer:
const2013 [10]3 years ago
8 0

Answer:

D

Step-by-step explanation:

Using the Sine rule in Δ QRS , that is

\frac{q}{sinQ} = \frac{r}{sinR} , that is

\frac{15}{sinQ} = \frac{12}{sin50.1} ( cross- multiply )

12× sinQ = 15 × sin50.1° ( divide both sides by 12 )

sinQ = \frac{15sin50.1}{12} , thus

Q = sin^{-1} ( \frac{15sin50.1}{12} ) ≈ 73.5° ( to the nearest tenth )

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The perimeter of a rectangle is 48 centimeters. The relationship between the length, the width, and the perimeter of the rectang
harkovskaia [24]

Step-by-step explanation:

let the unknown be x

length = x

width = 3.6 cm

Perimeter = 2 lengths + 2 widths

48 cm = x + x + 3.6 + 3.6

48 cm = 2x + 7.2

40.8 = 2x

20.4 cm = x

if you wanna check,

perimeter = 20.4 + 20.4 + 3.6 + 3.6

48 cm = 48

8 0
3 years ago
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What numbers are evenly divisible<br> by 560
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Easy 1,2,7,8,there possible may be more
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Becky has 5 candy bars. She wants to share them with his 3 friends. How much will each friend get?
Andre45 [30]

Answer:

one and a quarter candy bars

Step-by-step explanation:


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3 years ago
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Suppose the initial height of a Pumpkin is 12 feet and the pumpkin is being launched with a velocity of 61 feet per second. Use
iogann1982 [59]
<h2>Hello!</h2>

The answer is:

The maximum height before landing will be 69.7804 feet.

<h2>Why?</h2>

Since there is no information about the angle of the launch, we can safely assume that it's launched vertically.

So, we can calculate the maximum height of the pumpkin using the following formulas:

y=y_o+v_{o}*t-\frac{1}{2}gt^{2}

v=vo-gt

Where,

y, is the final height

y_o, is the initial height

g, is the acceleration of gravity , and it's equal to:

g=32.2\frac{ft}{s^{2} }

t, is the time.

Now, we are given the following information:

y_{o}=12ft\\\\v=61\frac{ft}{s}

Then, to calculate the maximum height, we must remember that at the maximum height, the speed tends to 0, so, calculating we have:

Time calculation,

We need to use the following equation,

v=vo-gt

So, substituting we have:

v=61\frac{ft}{s}-32.2\frac{ft}{s^{2}}*t\\\\-61\frac{ft}{s}=-32.2\frac{ft}{s^{2}}*t\\\\t=\frac{-61{ft}{s}}{-32.2\frac{ft}{s^{2}}}=1.8944s

We know that it will take 1.8944 seconds to the pumpkin to reach its maximum height.

Maximum height calculation,

Now, calculating the maximum height, we need to use the following equation:

y=y_o+v_{o}*t-\frac{1}{2}gt^{2}

Substituting and calculating, we have:

y=y_o+v_{o}*t-\frac{1}{2}gt^{2}

y=12ft+61\frac{ft}{s}*1.8944s-\frac{1}{2}32.2\frac{ft}{s^{2}}*(1.8944s)^{2}

y=12ft+61\frac{ft}{s}*1.8944s-\frac{1}{2}32.2\frac{ft}{s^{2}}*(1.8944s)^{2}\\\\y_{max}=12ft+115.5584ft-16.1\frac{ft}{s^{2}}*(3.5887s^{2})\\\\y_{max}=127.5584ft-57.7780ft=69.7804ft

Hence, we have that the maximum height before the landing will be 69.7804 feet.

Have a nice day!

3 0
3 years ago
Answers
Katen [24]

Answer:

D) y greater than equal to -1

Step-by-step explanation:

As in the graph, the line passes through y = -1 and the shaded art is above the line so all the values greater than y = -1 match the graph.

Mathematically:

y  ≥ -1

i hope it will help you!

8 0
3 years ago
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