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enot [183]
2 years ago
5

Dr. Black is standing 15 feet from a streetlamp. The lamp is making his shadow 8 feet long. He estimates that the angle of eleva

tion from the tip of his shadow to the top of the street lamp 50 degrees. To the nearest foot, the streetlamp is about

Mathematics
1 answer:
Stella [2.4K]2 years ago
6 0
Check the picture below.

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Angle PQR is formed by segments PQ and QR on the following coordinate grid:
viva [34]

Answer:

m∠P′Q′R′ = m∠PQR

Step-by-step explanation:

8 0
2 years ago
Which expression is equivalent to sin7pi/6?
elena-14-01-66 [18.8K]

For this case we must find an expression equivalent to:

Sin (\frac {7 \pi} {6})

According to the unit circle, \frac {7 \pi} {6} is in the third quadrant and equals 210 degrees.

Then, we must find an expression equivalent to:

Sin (210) = - \frac {1} {2} = - 0.5

We have to:

\frac{11 \pi} {6}

It is in the fourth quadrant and is equivalent to 330 degrees, according to the unit circle.

Sin (330) = - \frac {1} {2} = - 0.5

Answer:

Option D

3 0
2 years ago
Read 2 more answers
What is the measure of Angle J K L? Triangle J K L . The exterior angle to angle K has a measure of 83 degrees. 83 degrees 97 de
nasty-shy [4]

Answer:

The measure of angle JKL is 97 degrees.

Step-by-step explanation:

Given:

A triangle JKL .

Measure of exterior angle K = 83 degrees

We have to find the measure of \angle JKL .

In (\triangle\ JKL) we see that the exterior angle is in linear pair with \angle JKL .

Note:

Linear pair angles sum is 180 degree.

Let \angle JKL be 'x' degrees .

So,

⇒ x+83=180

⇒ <em>Subtracting 83 from both sides.</em>

⇒ x+83-83=180-83

⇒ x=180-83

⇒ x=97 degrees

The measure of angle JKL in the triangle is of 97 degrees.

5 0
2 years ago
Read 2 more answers
A family of five recently replaced its 5-gallon-per-minute showerheads with water-saving 2-gallon-per-minute showerheads. Each m
kykrilka [37]

Answer:

Family will save 3600 gallons of water by replacing the shower-heads.

Step-by-step explanation:

Number of family members in a family = 5

Each member of the family averages shower per day = 8 minutes

Total time for shower = 5×8 = 40 minutes

With a 5 gallon shower-heads each member will use water in a day = 5×40 = 200 gallons

Water consumption in 30 days = 200×30 = 6000 gallons per month

After replacing the shower-heads with 2 gallons per minute shower-heads family will use the amount of water = 40×2= 80 gallons per day

Water used in one month = 80×30 = 2400 gallons

Now water save by the family in 30-day period = 6000 - 2400 = 3600 gallons

Therefore, family will use 3600 gallons less water by replacing the water saving water heads.

8 0
2 years ago
Add.
Leya [2.2K]

The answer is 6.4

It is positive because the 11.4 is larger than the negatvie 5.

I hope this helps!

8 0
2 years ago
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