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Fittoniya [83]
3 years ago
15

In triangle ABC, the size of angle B is 4 times the size of angle A, and the size of angle C is 6°

Mathematics
1 answer:
amid [387]3 years ago
4 0

Answer:

<A = 18.6 Degree

<B =74.4 Degree

<C = 87 Degree

Step-by-step explanation:

Sum of all the angles of triangle is 180

as given ,

<A = ?

<B = 4<A

<C = 5 <A - 6

As per rule ,

<A + <B +<C = 180

<A + 4 <A + 5<A - 6 = 180

10 <A - 6 = 180

10 <A = 180 + 6

<A = 186 / 10

<A = 18.6 Degree

Hence ,

< B =  4 X (18.6)

< B = 74.4 Degree

and

<C = 5 (18.6) - 6

<C = 87 Degree

PROOF

<A + <B + <C = 180

18.6 + 74.4 + 87 = 180

180 = 180

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Answer:

A. (9 - 2.25)s ≥ 5,400

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C. It will now end up looking like this: (8 - 2.25)s ≥ 5,400. Then it will be 5.75. Then divide 5,400 by 5.75. Then you end up with 939.13. You have to round up when you are talking about inequalities with money so it will be 940. So they will have to sell 140 more sandwiches during that month.

Step-by-step explanation:

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2 years ago
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6 0
3 years ago
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Max observes the zoo and the library from a helicopter flying at a height of 400 times square root of 3 feet above the ground, a
-BARSIC- [3]

Answer: First option: 800 feet

Solution:

Height: h=400 sqrt(3)

Distance between the zoo and the point in the ground below the helicopter: d1=?

Distance between the library and the point in the ground below the helicopter: d2=?

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d=d2-d1


tan 60°= h/d1

sqrt(3)=400 sqrt(3) / d1

Solving for d1:

sqrt(3) d1 = 400 sqrt(3)

d1= 400 sqrt(3) / sqrt(3)

d1=400


tan 30°= h/d2

sqrt(3) / 3=400 sqrt(3) / d2

Solving for d2: Cross multiplication:

sqrt(3) d2 = 3 [ 400 sqrt(3) ]

sqrt(3) d2 = 1,200 sqrt(3)

d2= 1,200 sqrt(3) / sqrt(3)

d2=1,200


d=d2-d1

d=1,200 feet - 400 feet

d=800 feet


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Answer:

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8 0
2 years ago
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Questio
maxonik [38]

Answer:

He needs 92 on his last test.

Step-by-step explanation:

Mean score:

The mean is the sum of all scores divided by the number of tests.

In this question:

Scores of 85, 89, 85, 89 and x(the last one).

5 tests.

We want a mean of 88. So we find x for a mean of 88.

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348 + x = 440

x = 440 - 348 = 92

He needs 92 on his last test.

6 0
2 years ago
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