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Assoli18 [71]
3 years ago
7

Find the exact value of tan(theta) for an angle (theta) with sec(theta) = 3 and with its terminal side in Quadrant I.

Mathematics
1 answer:
stiks02 [169]3 years ago
3 0

Answer:

c

Step-by-step explanation:

1 + tan²theta = sec²theta

tan²theta = 3² - 1

tan²theta = 8

tan theta = sqrt(8)

Positive because Quadrant 1

sqrt(8) = sqrt(4×2) = sqrt(4)×sqrt(2)

= 2×sqrt(2)

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Hello, I really struggle with math and I was wondering if you could help me with the following problem please? It will be much a
xz_007 [3.2K]

Answer:

x=7

Step-by-step explanation:

Simplifying

3x + 2(4 + 6x) = 113

3x + (4 * 2 + 6x * 2) = 113

3x + (8 + 12x) = 113

Reorder the terms:

8 + 3x + 12x = 113

Combine like terms: 3x + 12x = 15x

8 + 15x = 113

Solving

8 + 15x = 113

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 15x = 113 + -8

Combine like terms: 8 + -8 = 0

0 + 15x = 113 + -8

15x = 113 + -8

Combine like terms: 113 + -8 = 105

15x = 105

Divide each side by '15'.

x = 7

Simplifying

x = 7

5 0
2 years ago
Read 2 more answers
Which of the following in the value of x
kolezko [41]
The answer is c 14 I think
4 0
3 years ago
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A model car is made to a scale of 1:50 (model: real). If the model has a length of 10 cm, calculate the length of the real car (
Alex_Xolod [135]

Answer:

5 m

Step-by-step explanation:

A model car is made to a scale of 1:50 (model: real).

If the model has a length of 10 cm, calculate the length of the real car (answer in meters).

We have a scale of :

model: real = 1:50

The model has a length of 10cm

Hence:

1 cm = 50 cm

10 cm = x cm

Cross Multiply

x cm × 1cm = 10 cm × 50 cm

x cm = 10 cm × 50 cm/1cm

x cm = 500 cm

The length of the real car is 500cm

Converting the length of the real car to meters

100cm = 1 m

500 cm = x m

Cross Multiply

100cm × x m = 500 cm × 1 m

x m = 500 cm × 1 m/100 cm

x m = 5 m

The Length of the real car in meters is 5m

4 0
2 years ago
The winning baseball team scores 4 times as many runs as its opponent. The winning team scores 8 runs. Write an equation with an
Veronika [31]

Answer:

4x+8=x

Step-by-step explanation:

8 0
3 years ago
One long-distance company offers a plan such that each minute costs $0.10 and each call has a $0.25 service
gladu [14]

Answer:

<em>y=0.10(t)+0.25 </em>

<em>27 minutes and 30 seconds </em>

Step-by-step explanation:

We know that you start with 25 cents as a service fee, this is for making the call. For each minute you talk, 10 cents are added. Multiply the number of minutes spent by 10 cents a minute for the cost based on the call. Then add the 25 cents service fee.

If you talked for 5 minutes:

y=0.10(5)+0.25

y=0.50+0.25

y=0.75

75 Cents

For three dollars, you would plug in 3 for y

3.00=0.10(t)+0.25

-0.25            -0.25

2.75=0.10(t)

divide both sides by 0.10 to get

27.5=t

You can talk for 27 minutes and 30 seconds

27 minutes

<u>Hope this helps :-)</u>

3 0
3 years ago
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