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3 years ago

-4(5k-7)-2k=-2(9k+5)

1 answer:

5 0

If you distribute -4 through (5k-7), it equals -20k + 28. Then put on the other -2k on that side of the equals sign and you should have -22k + 28 = -2(9k+5) Then you need to distribute -2 through (9k+5) which equals -18k - 10. You then should have -22k+28=-18k-10. Add 22k to both sides to cancel it out, then you should have 28=4k-10. Add 10 to both sides to get the 4k by itself, which will be 38=4k, then divide both sides by 4 to get k by itself. 38/4 = 19/2. k = 19/2

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Solve the triangle. Round your answers to the nearest tenth. Law of sines 6 A. M∠C=34 m ∠ C = 34 , b=25 b = 25 , c=16 c = 16 B.

PolarNik [594]

Answer:

$A = 43.0^o$

$B = 55.0^o$

$BC = 20.0$

Step-by-step explanation:

I will solve this question with the attached triangle

From the attachment, we have:

$\angle C =82^o$

$AB = 29$

$AC = 24$

Required

Solve the triangle

First, we calculate $\angle B$ using sine law:

$\frac{AC}{\sin(B)} = \frac{AB}{\sin(C)}$

This gives:

$\frac{24}{\sin(B)} = \frac{29}{\sin(82^o)}$

$\frac{24}{\sin(B)} = \frac{29}{0.9903}$

Cross multiply

$\sin(B) * 29 = 24 * 0.9903$

$\sin(B) * 29 = 23.7672$

Divide both sides by 29

$\sin(B) = 0.8196$

Take arcsin of both sides

$B = \sin^{-1}(0.8196)$

$B = 55.0^o$

Next, calculate $\angle A$ using:

$A + B + C = 180^o$ --- angles in a triangle

$A + 55^o + 82^o = 180^o$

Collect like terms

$A = 180^o-55.0^o - 82^o$

$A = 43.0^o$

Next, calculate BC using sine laws

$\frac{BC}{\sin(A)} = \frac{AB}{\sin(C)}$

This gives:

$\frac{BC}{\sin(43.0)} = \frac{29}{\sin(82)}$

$\frac{BC}{0.6820} = \frac{29}{0.9903}$

Make BC the subject

$BC = \frac{29*0.6820}{0.9903}$

$BC = 20.0$

6 0

2 years ago

It takes a while for new factory workers to master a complex assembly process. During the first month that the new

Citrus2011 [14]

Answer:

Will I think it will be A

Step-by-step explanation:

because it say it was a positive

8 0

2 years ago

If each letter of the alphabet is worth two more than its preceding letter, where A is the first number and equals 1, B is the s

andrey2020 [161]

Answer:

<h2>The total value of all the letters in the alphabet is 676.</h2>

Step-by-step explanation:

The problem is about an arithmetic sequence where the difference is 2, the first term is 1 and we know that the alphabet has 26 letters.

To find the total sum of all values, we have to use the following formula

$S_{n}=\frac{n}{2}(2a_{1}+(n-1)d )$

Where $n=26$ , $a_{1}=1$ and $d=2$ . Replacing values, we have

$S_{26}=\frac{26}{2}(2(1)+(26-1)2) =13(2+50)=13(52)=676$

Therefore, the total value of all the letters in the alphabet is 676.

7 0

3 years ago

Read 2 more answers

The opposite inverse of -1/9 is

melomori [17]

Answer:

1/-9

Step-by-step explanation:

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2 years ago

HIJK is a rectangle. Find the value of x and find the length of each diagonals. If hj=19+2x and ik=3x+22

viva [34]

Hj and ik are opposite sides of the rectangle so they areequal in length.

19 + 2x = 3x + 22
19-22 = 3x-2x
x = -3

We can't find the length of the diagonals as we have no information about the width.

8 0

3 years ago