HelppWhat is the length of stack H D with bar on top when BH = 20 in., BC = 12 in., and DC = 14 in.? Round your answer to the nearest tenth of an inch.

Answers

Answer 1

Answer: We will use Pythagorean Theorem:
HC^2=20^2-12^2=400-144=256
HC= $√(256)$ =16
HD^2=16^2-14^2=256-196=60
HD= $√(60)$ =7.7459
Answer: HD=7.7 in.

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A circular pool has a diameter of 20 feet. You want to purchase a cover for the pool. What area needs to be covered?

Answers

A=2 $\pi$ r $r^(2)$
r=D/2 = 20feet/2 = 10 feet

Therefore,
A=2 $\pi$ $(10)^(2)$
A=200 $\pi$

Solve the system belowy=x^2-2x-6
y=4x+10

A. (-2,2)
B. (8,42)
C. (-2,2)
D. No solution

Answers

There are several ways to solve systems of linear equations. The most common methods are by graphing, elimination, and substitution. Let's start off with one of the most basic methods, graphing.
---------------Graphing Method---------------
2x + y = 33x + 2y = 6
In order to solve this system using the graphing method, we first have to change the two equations into slope-intercept form.
2x + y = 3 --> y = -2x + 33x + y = 7 --> y = -3x + 7
Then, we graph these two lines. (Attached Below)The solution set of a system of linear equations when graphing is actually the point at which the two lines intersect. So by graphing the two lines, we can obviously see that the solution set of this problem is (4, -5).
---------------Elimination Method---------------
The concept of elimination revolves around the concept of adding two equations. Using an example, let's see what happens when you add equations together.
2x + y = 33x + 2y = 6-----------5x + 3y = 9
Do you see how this works? Now, let's say that the orientation of these two equations were different. What would you do then?
2x + y = 36 - 3x = 2y
If this situation occurs, you have to rearrange it in a way that the form of the equations match. For example, if you have one in standard form, you have to algebraically return the other equation to the same form.
2x + y = 36 - 3x = 2y --> 6 = 3x + 2y --> 3x + 2y = 6
Now that the equations are in the same form, we can begin to solve. However, let's start with a simpler system to demonstrate the concept.
2x - y = 53x + y = 5
The process of elimination involves adding equations in a way that one of the unknown variables disappears. In this first example, let's see what happens when we simply add them right away.
2x - y = 53x + y = 5

An author is having a book signing at a store. He agrees to give 5% of his profit to literacy programs and 15% of his profit to his manager. If he makes a profit of $200.00, how much of his profit does he take home?

Answers

The profit of the author will be $160.

What is profit?

When we sell any product above its cost price then there will be a profit. It is given that An author is having a book signing at a store. He agrees to give 5% of his profit to literacy programs and 15% of his profit to his manager. If he makes a profit of $200.

First, you add 15%+5% which equals 20%.

Second, you find 20% of $200. You turn 20% into a decimal, which is 0.20. Then multiply 200 times 0.20. which is 40. $40 is the amount the author gave away.

Third, you subtract 200-40 which equals $160. He takes home $160.

To know more about Profit follow

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First, you add 15%+5% which equals 20%.

Second, you find 20% of $200. You turn 20% into a decimal, which is 0.20. Then multiply 200 times 0.20
which is 40. $40 is the amount the author gave away.

Third, you subtract 200-40 which equals $160. He takes home $160.

Hope that helped! :)

Can any one help me any of them especially (b)

Answers

b.) $x^{- (1)/(2) }(x^{ (3)/(2) }-x^2)=x^{- (1)/(2) }(x^{ (3)/(2) })-x^{- (1)/(2) }(x^2)}=x^{- (1)/(2) + (3)/(2) }-x^{- (1)/(2) +2}=x-x^{ (1)/(2)$

e.) $(1)/( √(x) ) (x^2- √(x) )= \frac{1}{ x^{ (1)/(2) } } (x^2-x^ (1)/(2) ) \n = x^{- (1)/(2) } (x^2-x^ (1)/(2) )=x^{- (1)/(2) }(x^2)-x^{- (1)/(2) }(x^ (1)/(2) )} \n =x^{- (1)/(2) +2}-x^{- (1)/(2) + (1)/(2) }=x^ (1)/(2) -x^0=x^ (1)/(2) -1$

I hope this helps you.

Kevin drove 22 1/2 miles in 1/3 hour. What was his average speed in miles per hour

Answers

Answer=67.5 mph

22 1/2 miles 1/3hours

(22 1/2)/(1/3)=67.5miles per hour

____________________________
another way to solve this would be....

1/3 1
_______=________
22 1/2 x

cross multiply
(1/3)x=22 1/2
divide both sides by 1/3
x=67.5miles per hour

A supermarket has 64 cartons of 40 peaches each. The peaches are packed into bags of 8 each.How many bags of peaches are there ?

Answers

64 cartons × 40 peaches = 2560 peaches

2560 peaches : 8 bags = 320 bags

64×40= 2560
2560÷8=320

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A container holds a combination of dimes and quarters. There are 178 coins in all, and their total value is $29.80. The system of equations models this situation, where x is the number of dimes and y is the number of quarters.x+y=1780.1x+0.25y=29.8How many dimes and quarters are in the container?A.123 dimes and 55 quartersB.114 dimes and 64 quartersC.102 dimes and 76 quartersD.98 dimes and 80 quarters