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klio [65]
3 years ago
10

Set up the ratio for cos(A)

Mathematics
1 answer:
irina1246 [14]3 years ago
4 0

Answer:

21/35

Step-by-step explanation:

Recall that Cos = Adjacent/Hypotenuse

We want to find Cos A

The adjacent of A is 21 and the hypotenuse is 35

So cos A would equal 21/35

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Solve 3/5k-5=7/100 by eliminating the fraction
likoan [24]

I assume you meant to type the following:

3/(5k-5) = 7/100

When we multiply both sides by (100)(5k - 5), we get this:

300 = 7(5k - 5)

300 = 35k - 35

300 - 35 = 35k

265 = 35k

265/35 = k

3 0
3 years ago
18 POINTS! At the AoPS office, mice vary inversely with cats, that is, mice=k/cats, for some value of k. When there are 3r-19 ca
Blizzard [7]

Answer:

k=30

Step-by-step explanation:

The number of mice vary inversely with cats. This is written as:

Mice \propto \dfrac{1}{Cat} \\Mice = \dfrac{k}{Cat}

When there are 3r-19 cats, there are 2r+1 mice

2r+1 = \dfrac{k}{3r-19}\\$Cross multiply$\\k=(3r-19)(2r+1)

When there are 6r-27 mice, there are r-5 cats.

6r-27 = \dfrac{k}{r-5}\\$Cross multiply$\\k=(6r-27)(r-5)

Taking the values of k above, we have:

k=(3r-19)(2r+1) =(6r-27)(r-5)\\(3r-19)(2r+1) =(6r-27)(r-5)\\6r^2+3r-38r-19=6r^2-30r-27r+135\\$Collect like terms\\6r^2-6r^2+3r+30r-38r+27r-19-135=0\\22r-154=0\\22r=154\\$Divide both sides by 22\\r=7

Therefore:

k=(3r-19)(2r+1) \\=(3*7-19)(2*7+1)\\=(21-19)(14+1)\\=2*15\\k=30

8 0
3 years ago
Let M = {2, 5, 7} and N = {4, 5, 8}.
levacccp [35]
C is the answer of the questions
5 0
3 years ago
18+12x<-102 Can you guys please show me to step by step
Anuta_ua [19.1K]

Answer:

x < -10

Step-by-step explanation:

Some treat the < as an equals sign to make it easier and less confusing to solve. Rewrite the equation with an equals sign for the time being.

18+12x= - 102.

Treat it as any other equation now and solve for x.

Subtract 18 from both sides to cancel out 18 on the left.

12x=-120

Divide by 12 to get x by itself.

x=-10.

Put the < back.

x < -10

5 0
3 years ago
Read 2 more answers
The length of a rectangle is three less than four times the width. The perimeter of the rectangle is 54 feet. Find the width of
kirill115 [55]

Answer:

6 ft

Step-by-step explanation:

Let the width = w

Then the length = 4w - 3

perimeter = 2(length + width)

perimeter = 2(4w - 3 + w)

perimeter = 2(5w - 3)

perimeter = 10w - 6 = 54

10w - 6 = 54

10w = 60

w = 6

Answer: The width is 6 ft

4 0
3 years ago
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