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ryzh [129]
2 years ago
14

A bearing, measured at 1.234 inches with a caliper, must be replaced. Since the bearings are sized in 64ths of an inch, find the

closest fractional size.
Mathematics
1 answer:
Ganezh [65]2 years ago
7 0
We have
1.234 in-----> 1+(0.234) in

we know that
1/64=0.015625
so
0.234/0.015625=14.98-----> 15
15/64-----> 0.234

therefore
1.234 in is equal to -----------> 1 15/64 in

the answer is
1 15/64 in
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3 years ago
Prove that the two circles shown below are similar. (10 points) Circle C is shown with a center at negative 3, 1 and a radius of
Tanya [424]

Answer:

Well, in reality, all circles are similar to each other. They will all have the same angles, and they don't really have side lengths. So, they are similar.

But to PROVE they are similar, we will transform Circle C to match circle E.

Circle C has a center at (-3, 1), and Circle E has a center of (4, 9). For Circle C to have the same center as Circle E, we will translate Circle C 7 units to the right, and 8 units up.

Since Circle C has a radius of 4, and Circle E has a radius of 3, dilate Circle C by a factor of 3/4. That way, the radius is 3 units as well.

And there you go! The two circles will map perfectly on top of each other.

Hope this helps!

5 0
3 years ago
Is the system of equations consistent and independent, consistent and dependent, or inconsistent?
ollegr [7]

Answer: Consistent and independent.

Step-by-step explanation:

We have the system of equations:

y = 4x - 4

y = -4x + 4.

Now, first let's define the terms used in the question.

consistent and independent: we have only one solution.

consistent and dependent: we have infinite solutions.

inconsistent: we do not have solutions.

Now, let's look at the system:

y = 4x - 4

y = -4x + 4.

Let's take the quotient between both the equations:

(y/y) = (4x - 4)/(-4x + 4)

1 = (4x - 4)/(-4x + 4)

let's see if we can solve this for x.

1*(-4x + 4) = 4x - 4

-4*x + 4 = 4x - 4

-4x - 4x = -4 - 4

-8*x = -8

x = -8/-8 = 1.

and to find the value of y, we can input this value of x in one of the equations:

y = 4*1 - 4 = 0.

Then we have only one solution, (1, 0).

(and will be the same if you input x in the other equation, as the right side is minus the right side of the first equation)

Then the system is consistent and independent.

5 0
3 years ago
A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 55 pounds each, and the small boxes
nikdorinn [45]

Answer:

The number of large boxes is 55 and the number of small boxes is 70

Step-by-step explanation:

<u><em>The complete question is</em></u>

A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 50 pounds each, and the small boxes weigh 20 pounds each. There are 125 boxes in all. If the truck is carrying a total of 4150 pounds in boxes, how many of each type of box is it carrying?

Let

x ------> the number of large boxes

y -----> the number of small boxes

we know that

x+y=125 -----> equation A

50x+20y=4,150 ----> equation B

Solve the system by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The intersection point is (55,70)

therefore

The number of large boxes is 55 and the number of small boxes is 70

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2 years ago
The perimeter of a rectangle is 48 centimeters. The relationship between the length, the width, and
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1. Length is 14 cm
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