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pantera1 [17]
3 years ago
12

If you travel at a rate of 45 miles per hour, how many minutes will it take you to travel 1 mile? Justify your response

Mathematics
1 answer:
Natali [406]3 years ago
5 0
Speed times time=distance
speed=45
time=?
distance=1
45 times ?=1
divide both sides by 45
?=1/45
answer is 1/45 hours
I justify my answer because math
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Solve for x please help me!!
lyudmila [28]

Answer:

it should be 64 ....

Step-by-step explanation:

7 0
2 years ago
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(20 pts!) if the base of the roof has length 40 feet and x=30, which of the following gives the height of the roof?
musickatia [10]

Answer:

23.094 ft approximately

(If you want your answer in a different format, let me know please.)

Step-by-step explanation:

I would have solve this using tangent since the side opposite to x is asked for and the adjacent side to side is given as having a measurement of 40 ft.

But I think they want you to use the formula:

l=\frac{b}{\cos(x)}.

l=\frac{40}{\cos(30)}

Input into calculator:

l=46.188 (approximation)

l represents the length of the roof.

So we have l=46.188 and b=40.

We must use the Pythagorean Theorem to find the height,h, for of the roof.

l is the hypotenuse.

h^2+40^2=46.188^2

h^2+1600=2133.331

Subtract 1600 on both sides:

h^2=533.331

Take square root of both sides:

h=23.094

The answer is 23.094 feet for the height that roof reaches on the building.

I want to show you another way:

\tan(x)=\frac{\text{opposite}}{\text{adjacent}}

\tan(30)=\frac{h}{40}

Multiply both sides by 40:

40\tan(30)=h

Input into calculator:

23.094=h

I didn't do it this way because your problem suggested you use their formula to find the height.

8 0
3 years ago
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lara [203]

Answer:

3

Step-by-step explanation:

7 0
2 years ago
Solve.<br><br> −7x = x2 + 12
adelina 88 [10]

Answer:

x = - 4 , x = - 3

Step-by-step explanation:

- 7x = x^2 + 12

Take all terms to one side of equation.

x^2 + 7x + 12 = 0

Find which 2 numbers multiply to give 12 and add to give 7.

a × b = 12

a + b = 7

a = 4

b = 3

Split the middle term using these 2 numbers.

x^2 + 4x + 3x + 12 = 0

Factorise each pair of terms separately.

x ( x + 4 ) + 3 ( x + 4 ) = 0

Bring out common factor of ( x + 4 ) and factorise.

( x + 4 ) ( x + 3 ) = 0

Using the Null factor law, make the expressions in each pair of parentheses equal 0.

x + 4 = 0

x = - 4

AND

x + 3 = 0

x = - 3

THEREFORE:

x = - 4 , x = - 3

5 0
3 years ago
Read 2 more answers
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