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Shtirlitz [24]
3 years ago
5

3. Use trigonometric ratios to solve for the variable. Show your work. Round lengths to the nearest tenth and angles to the near

est whole degree. ​

Mathematics
1 answer:
Lynna [10]3 years ago
8 0

Answer:

x = 3.4

Step-by-step explanation:

recall that for a right angle with an internal angle θ,

cos θ = adjacent length / hypotenuse

in our case,

θ = 55 deg

adjacent length = x units

hypotenuse = 6 units

substitute these into the formula above

cos θ = adjacent length / hypotenuse

cos 55 = x / 6    (multiply both sides by 6)

x = 6 cos 55 (use calculator)

x = 3.4415

x = 3.4  (rounded to nearest tenth)

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Mrs. Jones decided to buy some pencils for her class. She bought 3 packages of pencils, and each package contained 44 pencils. T
pantera1 [17]

Answer:

A

Step-by-step explanation:

First, multiple 3 by 44 to find the number of pencils total. 3x44=132.

Then, divide 22 into 132. 132/22=6.

Therefore, each student received 6 pencils.

7 0
2 years ago
Read 2 more answers
In the United States, there are 59 different species of mammals that are endangered,
jolli1 [7]

Given Information:

Number of endangered mammal species = 59

Number of endangered bird species = 75

Number of endangered fish species = 68

Required Information:

Probability of either a  mammal or a fish = ?

Answer:

P(mammal or fish) = 127/202 = 0.6287 = 62.87%

Step-by-step explanation:

We want to randomly select one animal and find out the probability of either a mammal or a fish.

The total number of endangered species of animals is given by

Total animals = mammal species + bird species + fish species

Total animals = 59 + 75 + 68  = 202

The probability of selecting a endangered mammal is

P(mammal) = no. of endangered mammal/total no. of endangered animals

P(mammal) = 59/202

The probability of selecting a endangered fish is

P(fish) = no. of endangered fish/total no. of endangered animals

P(fish) = 68/202

Finally, the probability of selecting either a mammal or a fish is

P(mammal or fish) = 59/202 + 68/202

P(mammal or fish) = 127/202

P(mammal or fish) = 0.6287

P(mammal or fish) = 62.87%

8 0
3 years ago
The dot plots show the ages of players on two soccer teams. Which statements are true? Check all that app The Lions have more va
Yuliya22 [10]

Answer:

B and D

B: the eagles have more variability in the ages of their players.

D: The Eagles have more players.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
|9x-7|=|6x+3| Solve the inequality
dexar [7]

Answer:

x = 4/15 and x= 10/3

Step-by-step explanation:

|9x-7|=|6x+3|

There are two solutions, one positive and one negative.

(9x-7)=6x+3                   - (9x-7)=6x+3

We will take the positive one first

(9x-7)=6x+3

Subtract 6x from each side

(9x-6x-7)=6x-6x+3

3x -7=3

Add 7 to each side

3x-7+7 = 3+7

3x = 10

Divide by 3x/3 = 10/3

x = 10/3


Now we will take the negative solution

- (9x-7)=6x+3

Distribute the negative sign

-9x+7 = 6x+3

Add 9x to each side

-9x+9x+7 = 6x+9x+3

7 = 15x+3

Subtract 3 from each side

7-3 = 15x +3-3

4 = 15x

Divide by 15 on each side

4/15 =15x/15

4/15 =x

8 0
3 years ago
What is the 2nd term when −3f3 + 9f + 6f4 − 2f2 is arranged in descending order?
Brilliant_brown [7]

For this case we have the following polynomial:

-3f ^ 3 + 9f + 6f ^ 4 - 2f ^ 2

To answer the question, what we must do is rewrite the polynomial in its standard form.

We have then that the polynomial will be given by:

6f ^ 4 - 3f ^ 3 - 2f ^ 2 + 9f

Therefore, we have the ordered polynomial in descending form of exponents.

Therefore, the second term of the polynomial is:

- 3f ^ 3

Answer:

The second term of the polynomial is given by:

- 3f ^ 3

6 0
3 years ago
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