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AlekseyPX
3 years ago
8

Find the tangents of the acute angles in the right triangle. Write each answer as a fraction.

Mathematics
1 answer:
Crank3 years ago
3 0

Hi there! Look at the attachments along with my explanation. Before we are going to answer your problem, we need to know the basic Trigonometric Ratio first.

  • tanA = opposite/adjacent

Now see my attachments. The first attachment is the original image from your problem.

The second attachment is when we draw to focus on angle H (in a better perspective)

The third attachment is when we draw to focus on angle G in a better perspective.

Now that we know tanA = opposite/adjacent

Define A = any angles.

Therefore,

tanH = 1/2

tanG = 2/1 = 2

Answer

  • tanG = 2
  • tanH = 1/2

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Elza [17]

Answer:

The charges will be the same after 4 hours.

Step-by-step explanation:

Total Amount = y

Number of hours = x for x > 2

Garage A: y = $7.00 + (x - 2)*3

Garage B: y = 3.25*x

Part 3: What is the cost to be equal?

3.25x = 7 + 3(x - 2)                     Remove the brackets

3.25x = 7 + 3x - 6                       Collect terms on the right

3.25x = 3x + 1                              Subtract 3x from both sides.

3.25x - 3x = 3x - 3x + 1               Combine

0.25x = 1                                     Divide by 0.25

0.25 x/0.25 = 1 / 0.25            

x = 4 hours.


 

7 0
3 years ago
A dog is standing 5 feet from the base of a tree, looking up at a cat that has climbed 16 feet up the tree. What is the angle of
Katena32 [7]

Answer:

x=72.6

Step-by-step explanation:

use inverse trig because your finding a missing angle. use tan because you haved opp/adj

tan-1=(16/5)

x=tan-1(16/5)

*use a calculator

x=72.6

5 0
3 years ago
Find the slope of the line from two points (9, 6) (13,11) Use the equation of the line
mafiozo [28]

Answer:

C

Step-by-step explanation:

4 0
3 years ago
Given that $x \le -7,$ identify all the correct conclusions. (A) $3x \le -21.$ (B) $3x \ge -21.$ (C) $-3x \le 21.$ (D) $-3x \ge
exis [7]

Answer:

Options A and D are correct choices.

Step-by-step explanation:

We have been given an inequality x\leq -7 and we are asked to find the correct options from our given choices.

Let us solve inequalities in our given options one by one to see which of these matches with our given inequality.

(A) 3x\leq -21  

x\leq \frac{-21}{3}

x\leq -7

We can see that option A gives the same answer as our given inequality, therefore, option A is the correct choice.

(B) 3x\geq -21

x\geq \frac{-21}{3}

x\geq -7

This inequality represented in option C gives solution that x should be greater than or equal to -7, which is opposite to our given inequality, therefore, option B is incorrect.

(C) -3x\leq 21

Dividing inequality by a negative number swaps inequality sign.

x\geq \frac{21}{-3}

x\geq -7

This inequality gives solution that x should be greater than or equal to -7, which is opposite to our given inequality, therefore, option C is incorrect.

(D) -3x\geq 21  

Dividing inequality by a negative number swaps inequality sign.

x\leq \frac{21}{-3}

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We can see that option D gives the same answer as our given inequality, therefore, option D is the correct choice.  

8 0
3 years ago
A bottle of la belle bœuf contains 3/8 ounces of perfume. How many ounces of perfume would 4 1/2 bottles contain?
dusya [7]

ANSWER

1 \frac{11}{16} ounces

EXPLANATION

It was given that,a bottle of la belle bœuf contains 3/8 ounces of perfume.

We want to find how many ounces of perfume would 4 1/2 bottles contain.

If 1 bottle contains 3/8 ounces;

Then 4½ bottles should contain more ounces.

If more less divides.

4½ bottles contain

\frac{4 \frac{1}{2} \times  \frac{3}{8}  }{1}

=  \frac{27}{16}

=1.6875 ounces.

3 0
4 years ago
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