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Step2247 [10]
3 years ago
12

A man drove x miles per hour for 3 hours and (2x-60) miles per hour for the next 4.75 hours. A)Express the total distance travel

ed in terms of x
Mathematics
1 answer:
erik [133]3 years ago
6 0

Answer:

12.5x-285.

Step-by-step explanation:

We are told that a man drove x miles per hour for 3 hours, so he traveled 3x miles in three hours.

We are also told that he drove (2x-60) miles per hour for the next 4.75 hours. So The distance traveled by in next 4.75 hours will be:

4.75\cdot (2x-60)=9.5x-285  

To find the total distance traveled by man we will add distances traveled by him in first 3 hours and next 4.75 hours.

\text{The total distance traveled}=3x+9.5x-285

Upon combining like terms we will get,

\text{The total distance traveled}=(3+9.5)x-285

\text{The total distance traveled}=12.5x-285

Therefore, the total distance traveled in terms of x will be 12.5x-285.

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Let Angle w be an acute angle. Use a calculator to approximate the me
serious [3.7K]

Answer:

<h2>49.5°</h2>

Step-by-step explanation:

Given the trigonometry function as shown sin W = 0.79, to get W, the following steps must be followed.

Step 1: Take the arcsin of both sides of the equation

sin^{-1}(sinW) =  sin^{-1}0.79\\W = sin^{-1}0.79

Step 2: Use a calculator to get the resulting value of W

W = 49.46^{0}

W = 49.5^{0} (to nearest tenth of a degree)

This gives the acute angle needed.

Note that acute angle are angles that are less than 90°

8 0
3 years ago
Two figures are similar with a scale factor of 5/2.
aev [14]

Answer:

If we have two figures, F and F'

Such that if we start with F, and dilate it with a scale factor K, we get F'.

We will have:

All the measures of F', are K times the correspondent measures of F.

Then if F has  s₁, s₂, ..., sₙ sides, the sides of F' will be:

K*s₁, K*s₂, ..., K*sₙ

The ratio between correspondent sides will be equal to K

The ratio between perimeters will also be equal to K (because the perimeter is the sum of all the sides of each figure, so we can just take K as a common factor)

In the case of the area, because we usually multiply a measure by another, a factor K^2 will  appear, and the quotient between the areas is K^2

And finally, for the volumes, the ratio will be K^3

a) The ratio of corresponding lengths is K, in this case is 5/2

b) The ratio of the perimeters is K, in this case is 5/2

c) The ratio of the areas is K^2, in this case is (5/2)^2 = 25/4

d) The ratio of the areas is K^3, in this case is (5/2)^3 = 125/8

e) Two figures are similar if the figures have the same shape, then the corresponding angles are exactly the same, then the ratio of corresponding angle measures is 1.

6 0
3 years ago
I need help on #7<br> Please show your work
givi [52]

The area of the given square pyramid is:

total area = 1,100 inches squared.

<h3 /><h3>How to get the area of the pyramid?</h3>

On the second image, we can see that the pyramid is conformed of a square base and 3 triangles.

To get the surface area of the pyramid, we can just get the area of each of these simpler parts.

The base is a square of 22 in by 22 in, then the area of the base is:

B = (22in)*(22 in)  = 484 in^2

For each triangle, the area will be:

A = (base side)*(height)/2

A = (22in)*(14in)/2 = 154 in^2

And we have 4 of these triangles, then the total area of the pyramid will be:

total area = B + 4*A = 484in^2 + 4*(154 in^2) = 1,100 in^2

If you want to learn more about square pyramids:

brainly.com/question/22744289

#SPJ1

3 0
1 year ago
List these numbers in numerical order
zimovet [89]

Answer:

16,17,18,18,19,19,21,21,21,22,22,22,24,25,28,29,30

5 0
3 years ago
Read 2 more answers
Simplify the radical expression √(5) + 6√(5)
Evgesh-ka [11]
Answer is  <span>C) 7√(5)
cause

</span><span>√(5) + 6√(5)
</span>=<span>√5 (1+6)
</span>= 7<span>√5</span>
8 0
3 years ago
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