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valentina_108 [34]
3 years ago
7

Can someone please help me ASAP?

Mathematics
1 answer:
blagie [28]3 years ago
5 0
D

Pi r ^2
4 times 4 is 16
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Given that secant theta = Negative StartFraction 37 Over 12 EndFraction, what is the value of cotangent theta, for StartFraction
Iteru [2.4K]

cot\theta  =\frac{12}{35}

Step-by-step explanation:

sec\theta =\frac{37}{12}

⇔\frac{1}{cos \theta} =\frac{37}{12}

⇔cos \theta = \frac{12}{37}

we know that

sin \theta = \sqrt{1-cos^2\theta}

sin\theta =\sqrt{1-(\frac{12}{37})^2 }

sin\theta=\sqrt{\frac{1225}{1369} }

sin\theta = \frac{35}{37}

Therefore cot\theta =\frac{cos\theta}{sin\theta}  =\frac{\frac{12}{37} }{\frac{35}{37} }  =\frac{12}{35}  , for \frac{\pi}{2}

8 0
3 years ago
Read 2 more answers
A bee flies at 9 feet per second directly to a flower bed from its hive. The bee stays at the flowerbed for 15 minutes, and then
Ivan

Complete question is;

A bee flies at 9 feet per second directly to a flower bed from its hive. The bee stays at the flowerbed for 15 minutes, and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 18 minutes.

a. What equation can you use to find the distance of the flowerbed from the hive?

b. How far is the flowerbed from the hive?

Answer:

A) (d/9) + 900 + (d/6) = 1080

B) d = 648 ft

Step-by-step explanation:

A) We are told that A bee flies at 9 feet per second directly to a flower bed from its hive.

Time taken is given as;

t = distance/speed

If distance is d from the hive to the flower bird.

Then, t1 = d/9

The bee stays at the flowerbed for 15 minutes. Thus, time spent at the flowerbird in seconds is; t2 = 15 × 60 = 900 seconds.

We are told that the bee flew directly back to the hive at 6 feet per second.

Thus,time is;

t3 = d/6

Since total time spent away from hive is 18 minutes, then converting to seconds, we have; t = 18 × 60 = 1080 s

Thus;

(d/9) + 900 + (d/6) = 1080

B) Since we have derived;

(d/9) + 900 + (d/6) = 1080

Then we can find d.

Multiply through by 18 to get;

2d + (900 × 18) + 3d = 1080 × 18

2d + 16200 + 3d = 19440

5d = 19440 - 16200

5d = 3240

d = 3240/5

d = 648 ft

4 0
3 years ago
95% of what number is 19?
Setler79 [48]
95% of 20 is 19

Convert your percentage into a decimal: 
\frac{95}{100} = 0.95

Divide 19 by your decimal:
19 \div 0.95 = 20
8 0
3 years ago
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The length of a rectangle is 3in. More than 3 times a number. The width is 2 in. Less the same number.If the area of the rectang
xxTIMURxx [149]
The width is 3
11in 2
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3 years ago
Is 20 qtssame or less than 10 gallons
Marianna [84]
20 quarts is less than 10 gallons because there are 4 quarts to a gallon which make 20 quarts 5 gallons for it to be 10 gallons it would have to be 40 quarts
6 0
3 years ago
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