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Margaret [11]
2 years ago
6

Two buses leave towns 840 miles apart at the same time and travel toward each other. One bus travels 20 mi/h slower than the oth

er. If they meet in 7 hours, what is the rate of each bus?
Mathematics
1 answer:
MrRa [10]2 years ago
6 0

Answer: Thus you found the rate of the slower bus. It is 67 miles per hour.

Then the rate of the faster bus is 67 + 18 = 85 mph.

Step-by-step explanation:

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Can you help me find the volume base area latera area and total area please to this problem
krek1111 [17]

Answer:

BA = 25π,

LA = 25√2π,

TA = 25π + 25√2π,

V = 41 and 2 / 3π

Step-by-step explanation:

We need to determine the height here, as it is not given, and is quite important to us. The height is a perpendicular line segment to the radius, hence forming a 45 - 45 - 90 degree triangle as you can see. Therefore, by " Converse to Base Angles Theorem " the height should be equal in length to the radius,

( Height = 5 inches = Radius

______

Now knowing the height, let's begin by calculating the base area. By it's name, we have to find the area of the base. As it is a circle, let us apply the formula " πr^2 "

\pi r^2\\= \pi ( 5 )^2\\= 25\pi - Base Area = 25π

______

The lateral area is simply the surface area excluding the base area, the surface area having a formula of " πr^2 + πrl. " Thus, the lateral area can be calculated through the formula " πrl, " but as we are not given the slant height ( l ) we have to use another formula, l= \sqrt{r^2+h^2} -

\pi r( \sqrt{r^2+h^2} )\\= \pi( 5 )( \sqrt{5^2 + 5^2} )\\= 25\sqrt{2} \pi- Lateral Area = 25√2π

______

And the surface area is the base area + lateral area -

25\pi + 25\sqrt{2} \pi - Surface Area

______

The volume of a cone is 1 / 3rd that of a cylinder, with a simple formula of Base * height. Therefore, we can conclude the following -

1 / 3( 25\pi )( 5 )\\= 25 / 3( 5 )( \pi )\\= 41 \frac{2}{3}\pi- Volume = 41 and 2 / 3π

8 0
3 years ago
Write an equation of the line that passes through the point (3,-2) with slope -2.
Virty [35]

Answer:

y + 4 = -2(x - 3)

Step-by-step explanation:

Use the point-slope formula y - k = m(x - h).  Substitute -2 for k and 3 for h, as well as -2 for m:

y + 4 = -2(x - 3).

4 0
3 years ago
A centipede has ______ legs
dezoksy [38]

100 legs. hope it helps!

7 0
3 years ago
Read 2 more answers
1. <br> ASA<br> SAS<br> HL<br> SSS<br> AAS<br><br> 2. PSR = ___
Luba_88 [7]
Sas i took that test
3 0
3 years ago
A masonry contractor is preparing an estimate for building a stone wall and gate. He estimates that the job will take a​ 40-hour
kodGreya [7K]

Solution: Estimated time for the work is 40 hour work week.

Estimated payment to 3 laborers working 40 hours at cost $14 per hour is:

3\times 40\times 14= $1680

Estimated payment to 6 masons working 40 hours at cost $24 per hour is:

6\times 40\times 24= $5760

Estimated cost of material = $3143

Contractor wishes to make a profit of $500

Therefore, the mathematical expression that will give the estimated cost of the job is:

Cost = 1680+5760+3143+500

The estimated total cost is:

Cost =$11083




5 0
3 years ago
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