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KATRIN_1 [288]
3 years ago
14

QUESTION 7 Solve for x. (3x + 32) (5x-8) O a. 3 b. 12 O c. 20 O d. 19.5

Mathematics
1 answer:
Alchen [17]3 years ago
7 0

Answer:

The answer is x = 20

Step-by-step explanation:

If you set both equations equal to each other and solve for x, you will get 20.

3x+32 = 5x-8        add 8 to both sides

3x+40 = 5x           subtract 3x from both sides

40 = 2x                 divide by 2 on both sides

20 = x

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A 100-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground. How high is the top o
DochEvi [55]

Answer:

The height of tree house is 70.71 feet

Step-by-step explanation:

We are given that A 100-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground

Refer the attached figure

Length of rope AC = Hypotenuse =100 feet

The top of a tree house to the ground forms a 45∘ angle of elevation from the ground =\angle ACB = 45^{\circ}

We are supposed to find the height of tree house i.e.AB = Perpendicular

So, Using trigonometric ratio

Sin \theta = \frac{perpendicular}{Hypotenuse}\\Sin 45= \frac{AB}{AC}\\\frac{1}{\sqrt{2}}=\frac{AB}{100}\\100 \times \frac{1}{\sqrt{2}}=AB\\70.71=AB

Hence The height of tree house is 70.71 feet

8 0
3 years ago
If 2/3 equals = X/12 what is the value of x
Blizzard [7]

Answer:

the answer is

x=8

Step-by-step explanation:

3x = 24

divide

6 0
2 years ago
Read 2 more answers
Why is 0.71875 a rational number
MrMuchimi

Answer:

Because it is terminating.

Step-by-step explanation:

0.71875 is rational because it is terminating (has a clear end). If it were a bunch of random numbers that never ended, then it would be irrational.

6 0
3 years ago
Read 2 more answers
Robert is selling his bulldozer at a heavy equipment auction. The auction company receives a commission of 5% of the selling pri
kifflom [539]

Answer:

$131422

Step-by-step explanation:

Given :

Amount owed = $124,850

Commison on sale = 5%

Let :

Sale price of bulldozer = x

Sale price = amount owed + 5% of sale price

x = 124850 + 0.05*x

x = 124850 + 0.05x

x - 0.05x = 124850

0.95x = 124850

x = 124850 / 0.95

x = 131421.05263

To the nearest dollar = $131422

4 0
3 years ago
Two angles are supplementary. The larger angle is
UkoKoshka [18]

Answer:

x = 165, y = 15

Step-by-step explanation:

1. Well, what does supplementary mean? - The angles add up to 180°.

2. Let's form an equation: x + y = 180°

3. Let's say x is the larger angle and y is the smaller angle.

4. Let's form another equation: x = 150 + y

5. Put the two equations next to each other:

x + y = 180

x = 150 + y

6. We know what x is equaled to, so let's plug it into the first equation!

150 + y + y = 180

150 + 2y = 180

-150           -150

2y = 30

y = 15

7. Now, we know what y is, let's find x!

x + 15 = 180

   -15     -15

x = 165

4 0
2 years ago
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