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1 year ago

Find the distance from point B to point C.

1 answer:

6 0

Using relations in a right triangle, it is found that the distance from point B to point C is of 3.75 miles.

<h3>What is the missing information?</h3>

The right triangle is missing, which shows that:

The side adjacent to the angle of 58º is of 6 mi.

The side opposite to the angle of 58º is of BC.

Hence, we can apply the relations in the right triangle given to find the length of side BC, which is the distance from point B to point C.

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.

The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.

The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

Hence:

tan(58º) = 6/BC

BC = 6/tan(58º)

BC = 3.75 miles.

The distance from point B to point C is of 3.75 miles.

More can be learned about relations in a right triangle at brainly.com/question/26396675

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A candle shop sells scented candles for $16 each and unscented candles for $10 each. The shop sells 28 candles today and makes $

Rudiy27

<h3><u>The system of linear equations that represents the situation is:</u></h3>

a + b = 28

16a + 10b = 400

<h3><u>20 scented candles and 8 unscented candles were sold</u></h3>

<em><u>Solution:</u></em>

Let "a" be the number of scented candles sold

Let "b" be the number of unscented candles sold

From given,

Cost of 1 scented candles = $ 16

Cost of 1 unscented candles = $ 10

<em><u>The shop sells 28 candles today</u></em>

Therefore,

a + b = 28

b = 28 - a ------- eqn 1

<em><u>The shop sells 28 candles today and makes $400</u></em>

Therefore,

number of scented candles sold x Cost of 1 scented candle + number of unscented candles sold x Cost of 1 unscented candles = 400

$a \times 16 + b \times 10 = 400$

16a + 10b = 400 ------ eqn 2

<em><u>Substitute eqn 1 in eqn 2</u></em>

16a + 10(28 - a) = 400

16a + 280 - 10a = 400

6a = 400 - 280

6a = 120

a = 20

<em><u>Substitute a = 20 in eqn 1</u></em>

b = 28 - 20

b = 8

Thus 20 scented candles and 8 unscented candles were sold

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3 years ago

Evaluate the following expression. (8 ^1 ) 0<br><br> A) 0<br> B) 1<br> C) 8

Mice21 [21]

Given that the equation looks like: (8^1)0

This means that our first step is to do what is in Parenthesis. 8^1 is = to 0

This means our equation now looks like:
(8)0

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This means your answer should be A.0

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3 years ago

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aleksandrvk [35]

Answer:

1/6

Step-by-step explanation:

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3 years ago

Only two problems I don’t understand. Don’t just give me answer, explain too please.

marta [7]

Answer:

12. Option b: 20 is the correct answer.

13. Option a: A rose costs $1 more than a daisy is the correct answer.

Step-by-step explanation:

12. Given that:

15x+10y=700 Eqn 1

x+y=60 Eqn 2

To find x, we will eliminate y be multiplying Eqn 2 by 10

10(x+y=60)

10x+10y=600 Eqn 3

Subtracting Eqn 3 from Eqn 2

(15x+10y)-(10x+10y)=700-600

15x+10y-10x-10y=100

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Dividing both sides by 5

$\frac{5x}{5}=\frac{100}{5}\\x=20$

Hence,

Option b: 20 is the correct answer.

13. Given that:

5x+4y=32 Eqn 1

x+6y=22 Eqn 2

Multiplying Eqn 2 by 5

5(x+6y=22)

5x+30y=110 Eqn 3

Subtracting Eqn 1 from Eqn 3

(5x+30y)-(5x+4y)=110-32

5x+30y-5x+4y=78

26y=78

Dividing both sides by 26

$\frac{26y}{26}=\frac{78}{26}\\y=3$

Putting y=3 in Eqn 2

x+6(3)=22

x+18=22

x=22-18

x=4

Hence,

Option a: A rose costs $1 more than a daisy is the correct answer.

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