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krok68 [10]
3 years ago
12

Please answer this correctly for a brainliest

Mathematics
1 answer:
m_a_m_a [10]3 years ago
4 0
240. First You divide 420 by 7 then you multiply 60 by 4.


Hope it helped!
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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:

<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.

6 0
4 years ago
The scale on a map 1/4 in.=10 mi. How many miles apart are two towns that are 3 in. Apart on the map ?
Viefleur [7K]
About 9 and a half a mile
8 0
3 years ago
the lifespan of lions in a particular zoo are normally distributed. the average lion lives 10 years. the standard deviation is 1
Marina86 [1]

Answer:

the lion will only live 8.5 years

Step-by-step explanation:

5 0
3 years ago
Which statement best illustrates using the vertical line test to determine if the graph below is a function of x?
Ber [7]

Answer:

The answer is either a or c .

Step-by-step explanation:

3 0
3 years ago
Graph the funtion f(x) - -3x + 6
scoundrel [369]

Answer:

The y intercept is 6 and the slope is -3.

Please see the attached graph.

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