1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
diamong [38]
1 year ago
7

If angle X is an acute angle with tan X = 8/7, what is the value of sec X?

Mathematics
1 answer:
iren [92.7K]1 year ago
5 0

Answer: \frac{\sqrt{113}}{7}

Step-by-step explanation:

As X is an acute angle, all 6 trigonometric functions with an argument of X are positive.

Using the identity 1+\tan^{2} X=\sec^{2} X,

1+\left(\frac{8}{7} \right)^{2}=\sec^{2} X\\\\\sec^{2} X=\frac{113}{49}\\\\\therefore \sec X=\boxed{\frac{\sqrt{113}}{7}}

You might be interested in
He following diagram, the ship is anchored to the ocean floor. The length of the rope attaching the
mr_godi [17]

The distance between the boat and the ocean's floor is 19m

<h3>How to get the distance from the ship to the ocean's floor?</h3>

We can see this as a right triangle, where the rope with the anchor is the hypotenuse. So we already know that the hypotenuse measures 30m.

We also know an angle, it measures 39°, and we want to get the opposite cathetus to said angle (the height).

Then we use the relation:

Sin(a) = (opposite cathetus)/(hypotenuse).

Replacing the values that we know, we get:

Sin(39°) = d/30m

sin(39°)*30m = d = 18.9m ≈ 19m

The distance between the boat and the ocean's floor is 19m.

If you want to learn more about right triangles, you can read:

brainly.com/question/2217700

4 0
2 years ago
Please help me i'll mark you brainlest or whatever.
Jlenok [28]
I can’t see the picture
5 0
3 years ago
Read 2 more answers
Fred works as a gardener. He charges at least $15 to drive to a residence and
Amanda [17]

We are required to find an inequality which best represents the relationship between the number of hours gardening g and the total charge c

The inequality which best represents the relationship between the number of hours gardening g and the total charge c is c ≥ 15 + 12g

At least means greater than or equal to (≥)

fixed charge = $15

charges per hour = $12

Total charge = c

Number of hours = g

The inequality:

<em>Total charge ≥ fixed charge + (charges per hour × Number of hours</em>

c ≥ 15 + (12 × g)

c ≥ 15 + (12g)

c ≥ 15 + 12g

Therefore, the inequality which best represents the relationship between the number of hours gardening g and the total charge c is c ≥ 15 + 12g

Read more:

brainly.com/question/11067755

7 0
2 years ago
If the factors of quadratic function g are (x-7) and (x+3), what are the zeros of function g?
natulia [17]

Step-by-step explanation:

1. you set each expression equal to 0.

x-7=0 and x+3=0

2. Next you need to get the variable by itself so you would add 7 to both sides on the first equation and subtract 3 from both sides for the second one.

3. So your answers would be x=7 and x=-3. Those are the zeros.

8 0
3 years ago
What is the distance between (-1, 2) and (3, 5)
Alexxandr [17]

Answer

the slope is 3/4 or .75

5 0
3 years ago
Read 2 more answers
Other questions:
  • Banks use negative balances to represent when the customer owes the bank money and positive balances to represent when the bank
    7·2 answers
  • What is the area of the trapezoid?
    12·1 answer
  • Whats y-1/2 when y =5/6 plsss tell meeee
    15·1 answer
  • the two lines graphed below are perpendicular. if the slope of the solid line is 3/4, what is the slope of the dashed line?
    5·2 answers
  • A restaurant can serve a maximum of 70 patrons. There are 47 now being served. Write an inequality to find out how many people m
    12·1 answer
  • 59.375 rounded to the nearest tenth
    14·2 answers
  • Michelle purchased 2/4 of a pound of pastries for her family. She has to divide them equally among 6 family members. How many po
    7·1 answer
  • Calculate the current in an Inductor if the energy stored is 240J and the Inductance is 24H.​
    6·1 answer
  • Solve - 2 1/3 - ( - 5) =<br> Help me please
    9·1 answer
  • Evaluate the expression z+4/3x when x=2
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!