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Nady [450]
3 years ago
9

Clark made four of his truck payments late and was fined four late fees.The total change to his savings from late fees was -$40.

How much was one late fee?
Mathematics
1 answer:
Kisachek [45]3 years ago
7 0
The answer is 10 dollars
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Using Similar Triangles On a coordinate plane, a line goes through (0, 3) and (x, y). A triangle has a rise of 2 and run of 3. A
Nonamiya [84]

Answer:

1. 2/3

2. (y-3)/x

3. y=(2/3)x+3

Step-by-step explanation:

I just did this assignment, and these are the correct answers!

5 0
3 years ago
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Liev is assembling a coffee table. The diagram below is from the instruction manual and shows the table after the first two legs
elixir [45]

Answer:

The support is 41 inches long.

Step-by-step explanation:

There's two ways we can do this: one with the diagonal formula and one without.

Since we know that Point C is halfway down leg A and that the table legs are 18 inches tall, Point C is 9 inches down leg A. The support, from Point C to Point D, will form a diagonal, the length of which we need to find. We know from the diagram that the width of the table is 24 inches and that its length is 32 inches. We have a height, length, and width for this problem, so let's imagine a rectangular prism, which has all three of those things, instead of a table. The formula for finding a rectangular prism's diagonal is d = \sqrt{l^{2} + w^{2} + h^{2} }. Let's put in those numbers:

d = \sqrt{32^{2} + 24^{2} + 9^{2} } =  41

Therefore, the support is 41 inches long.

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Another way you can do this is to use the Pythagorean Theorem twice: once to find the diagonal of the tabletop and another time for the support.

24^{2} + 32^{2} = c^{2} \\576 + 1024 = c^2\\1600 = c^2\\\sqrt{1600} = \sqrt{c^2}\\ 40 = c

Now that we know the corner-to-corner distance for the tabletop, we'll use that and the 9 inch distance for Point C to find the distance between C and D:

9^{2} + 40^{2} = c^{2}\\ 81 + 1600 = c^2\\1681 = c^2\\\\sqrt{1681} = \sqrt{c^2} \\41 = c

Again, the support is 41 inches long.

4 0
3 years ago
Which set includes rational numbers but not natural numbers?
Kryger [21]

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Answer: Natural Numbers count physical things. They can't be negative.

The third option is correct because its fractions and decimals.

Step-by-step explanation:

Hope this helps!

7 0
3 years ago
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Ainat [17]

Answer:

x = 16

y = -24

Step-by-step explanation:

Recall that the addition of matrices is done when matrices are of the same dimension. In this case, you are in fact adding matrices of the same dimension (dimension 1x2). Recall as well that in the addition of matrices, the elements of each matrix combine only with the element located in the exact same position in the other matrix.

So for this case the first element of the first matrix "16" combines with the first element of the second matrix "0" resulting in an element of value16 + 0 =16 in the new matrix.

Equally, the second element of the first matrix "-24" combines with the second element of the second matrix, resulting in : -24 + 0 = -24.

Therefore, the matrix resultant from this addition is: [16   -24] (same form of the first matrix, which indicates that adding a zero matrix to an existing matrix will not change the first matrix.

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3 years ago
An aircraft has a total time in service of 468 hours. The Airworthiness Directive given was initially complied with at 454 hours
Georgia [21]

Answer:

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Step-by-step explanation:

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=468-454=14

Then we have 14 hours of service and need to accumulate the rest to complete 454. It is

454-14=440

Then we need to accumulate 440 hours additional to complete the Airworthiness Directive .

6 0
3 years ago
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