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3 years ago

7

Stefan spent half of his weekly allowance on clothes to earn more money his parents let him wash the car for $5 what is his week

ly allowance if he ended with $15

1 answer:

Bad White [126]3 years ago

6 0

$30 I think not to sure thought

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A factory makes tennis balls. Every tennis ball must meet a quality standard, or it will be rejected. The percentage that meets

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The answer you're looking for is 40 tennis balls.
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3 years ago

Marcus lives on a street where all the

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3 years ago

Read 2 more answers

Three security cameras were mounted at the corners of a triangles parking lot. Camera 1 was 110 ft from camera 2, which was 137

Nata [24]

Answer:

<em>Camera 2nd has to cover the maximum angle, i.e. </em> $78.70^\circ$ .

Step-by-step explanation:

Please have a look at the triangular park represented as a triangle $\triangle ABC$ with sides

a = 110 ft

b = 158 ft

c = 137 ft

1st camera is located at point C, 2nd camera at point B and 3rd camera at point A respectively.

We can use law of cosines here, to find out the angles $\angle A, \angle B, \angle C$

As per Law of cosine:

$cos C = \dfrac{a^{2}+b^2-c^2 }{2ab}\\cos B = \dfrac{a^{2}+c^2-b^2 }{2ac}\\cos A = \dfrac{b^{2}+c^2-a^2 }{2bc}$

Putting the values of a,b and c to find out angles $\angle A, \angle B, \angle C$ .

$cos C = \dfrac{110^{2}+158^2-137^2 }{2\times 110 \times 158}\\\Rightarrow cos C = \dfrac{12100+24964-18769 }{24760}\\\Rightarrow cos C =0.526\\\Rightarrow C = 58.24^\circ$

$cos B = \dfrac{110^{2}+137^2-158^2 }{2\times 110 \times 137}\\\Rightarrow cos B = \dfrac{12100+18769 -24964}{30140}\\\Rightarrow cos B = \dfrac{5905}{30140}\\\Rightarrow cos B =0.196\\\Rightarrow B = 78.70^\circ$

$cos A = \dfrac{158^{2}+137^2-110^2 }{2\times 158 \times 137}\\\Rightarrow cos A = \dfrac{24964+18769-12100}{43292}\\\Rightarrow cos A = \dfrac{31633}{43292}\\\Rightarrow cos A = 0.731\\\Rightarrow A = 43.05^\circ$

<em>Camera 2nd has to cover the maximum angle</em>, i.e. $78.70^\circ$ .

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4 years ago

What is the arc length if

dem82 [27]

Answer:

A. 8π / 3

Step-by-step explanation:

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3 years ago

Which of the following is a composite number? <br><br> A. 63<br> B. 19<br> C. 1<br> D. 0

Alexandra [31]

The composite number is A.63. 1 is neither a prime or composite. 19 is a prime. 0 is a trick honestly, it isn't a prime or a composite

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3 years ago