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wariber [46]
3 years ago
15

Find the length of ladder

Mathematics
1 answer:
makkiz [27]3 years ago
5 0

Answer:

33 feet

Step-by-step explanation:

Use SOHCAHTOA to determine which trigonometric function to use:

sin(65)=30/x

sin(65)x=30

x=30/sin(65)

x=33.1

So the length of the ladder rounded to the nearest foot is 33 feet

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Suppose the current cost of gasoline is ​$2.58 per gallon. Find the current price index​ number, using the 1975 price of 56.7 ce
AleksandrR [38]

Answer:

Current price index​ number = 455

Step-by-step explanation:

Given:

Current cost of gasoline = ​$2.58 per gallon

1975 price of gasoline = 56.7 Cents = 56.7 / 100 = $0.567 per gallon

Find:

Current price index​ number = ?

Computation:

Current price index​ number = (Current cost / Reference cost) 100

Current price index​ number = (​$2.58 / $0.567)100

Current price index​ number = (4.55​)100

Current price index​ number = 455

7 0
3 years ago
The sum of the angles in a hexagon is 720°.
qwelly [4]

Given:

The sum of the angles in a hexagon is 720°.

m\angle A=90^\circ,m\angle B=126.87^\circ,m\angle C=(3x)^\circ,m\angle D=90^\circ, m\angle E=143.13^\circ, m\angle F=143.13^\circ.

To find:

(a) Equation to solve the value of x.

(b) The value of x.

(c) The measure of angle C.

Solution:

(a)

We have,

m\angle A=90^\circ,m\angle B=126.87^\circ,m\angle C=(3x)^\circ,m\angle D=90^\circ, m\angle E=143.13^\circ, m\angle F=143.13^\circ.

The sum of the angles in a hexagon is 720°.

m\angle A+m\angle B+m\angle C+m\angle D+m\angle E+m\angle F =270^\circ

90^\circ+126.87^\circ+(3x)^\circ+90^\circ+143.13^\circ+143.13^\circ =270^\circ

90+126.87+(3x)+90+143.13+143.13 =720

Therefore, the required equation is 90+126.87+(3x)+90+143.13+143.13 =720.

(b)

On solving the above equation, we get

593.13+3x =720

3x =720-593.13

3x =126.87

Divide both sides by 3.

x =\dfrac{126.87}{3}

x =42.29

Therefore, the value of x is 42.29.

(c)

We need to find the measure of angle C.

m\angle C=(3x)^\circ

m\angle C=(3\times 42.29)^\circ

m\angle C=126.87^\circ

Therefore, the measure of angle C is 126.87 degrees.

7 0
3 years ago
State the angle relationship and state the measure of each angle indicated that makes lines u and v
vlabodo [156]

Answer:

Q9. ?=53° (corr angles, u//v)

Q10. ?=58° (alt angles, u//v)

7 0
3 years ago
PLEASE HELP ME!!!!!!!<br><br><br>Simplify to create an equivalent expression<br>3+ (5h + 2) - 4<br>​
Maurinko [17]

Answer:

5h+1

Step-by-step explanation:

Simplify the expression.

7 0
3 years ago
Read 2 more answers
-3(v+3)-4(v+2) simplify
sergey [27]

Answer:

-7v - 17

Step-by-step explanation:

-3(v+3)-4(v+2)

= -3v - 9 - 4v - 8

= -7v - 17

7 0
3 years ago
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