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2 years ago

What is the solution to the equation? t-15=76

Mathematics

1 answer:

Ainat [17]2 years ago

6 0

Answer:

t=91

Step-by-step explanation:

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Find angle x. Try not to tell me the wrong answers... A. 144 B. 70 C. 36 D. 90

dlinn [17]

D. 90 im pretty sure its this. hope this helped :)

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2 years ago

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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:

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

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 $\angle A, \angle B, \angle C$ .

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

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

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

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

6 0

3 years ago

Hey! How do I write 0.29 (both 2 and 9 are recurring) as a fraction?

Montano1993 [528]

Hi there!

Since a decimal is a portion of 1 we can simply put a 100 in the denominator to form it into a fraction.

By doing this, we get the fraction 29/100.

Since there is no simplifying we can do for the fraction this is it's final form!

Your answer would be 0.29 = 29/100.

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2 years ago

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VladimirAG [237]

- x < 3

Answer:
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3 years ago

25 percent of 60 students in a class failed in the test. how many students failed the test

Alik [6]

Answer:

15 students

Step-by-step explanation:

25% = 1/4, so you can just do 1/4 of 60 or 1/4 * 60. 60/4 = 15 students.

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3 years ago

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What is the solution to the equation? t-15=76​

What is the solution to the equation? t-15=76