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
Ber [7]
3 years ago
10

Given csc(A) = 60/16 and that angle A is in Quadrant I, find the exact value of sec A in simplest radical form using a rational

denominator . Someone please help me!
Mathematics
2 answers:
Katarina [22]3 years ago
6 0

Answer:

\displaystyle \sec A=\frac{65}{63}

Step-by-step explanation:

We are given that:

\displaystyle \csc A=\frac{65}{16}

Where <em>A</em> is in QI.

And we want to find sec(A).

Recall that cosecant is the ratio of the hypotenuse to the opposite side. So, find the adjacent side using the Pythagorean Theorem:

a=\sqrt{65^2-16^2}=\sqrt{3969}=63

So, with respect to <em>A</em>, our adjacent side is 63, our opposite side is 16, and our hypotenuse is 65.

Since <em>A</em> is in QI, all of our trigonometric ratios will be positive.

Secant is the ratio of the hypotenuse to the adjacent. Hence:

\displaystyle \sec A=\frac{65}{63}

expeople1 [14]3 years ago
4 0

Answer:

Step-by-step explanation:

cosec A =60/16

hypotenuse/opposite = 60/16 =15/4 (in simplest form)

therefore hypotenuse = 15 , opposite = 4  

then adjacent =? (let be x)

using pythagoras theorem to find adjacent

opposite^2 + adjacent^2 = hypotenuse^2

4^2 + x^2 = 15^2

16 + x^2 = 225

x^2 = 225 - 16

x^2 = 209

x=\sqrt{209}

sec A =hypotenuse/adjacent

=\frac{15}{\sqrt{209} }

=\frac{15}{\sqrt{209} } * \frac{\sqrt{209} }{\sqrt{209} }

=\frac{15\sqrt{209} }{209}

You might be interested in
Exit
Marrrta [24]

Answer:

C)

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What percentage of 40 is 12?
dimulka [17.4K]

Answer:

12 is 3 percent of 40.

Step-by-step explanation:

If you divide 12 by 40, you get 0.3. 0.3 as a fraction is 3/100. So, it would be 3% of 100.

6 0
3 years ago
Solve -9 2/7 - (10 3/7)
Setler [38]

Answer:

add the whole numbers. -9+10=1

1 2-3/7

remove one digit from the whole number:. 1-1=0

add the denominator to 2=7+2=9

:. 9-3/7=6/7

answer=6/7

3 0
3 years ago
Todd placed 32 square tiles along the edge of his wooden dining room table, as shown below. Note: Figure is not drawn to scale.
Flauer [41]

Answer:

The diagonal is 421.

Step-by-step explanation:

This is a difficult question. To find the diagonal, you need to find the base and the height of the square. After that, you need to make it a triangle, by using this equation; A=\frac{1}{2} BH (A being area, B being base, and H being height) then find the length of the hypotenuse of the triangle, which I will do for you.

32*13=416 The B and H = 416. Plug it into the equation now;

A=\frac{1}{2}(416*416)\\\\\\A=\frac{1}{2} 173,056\\\\\\A=86,528Now that you have done that, we know that the area of our new triangle is 86,528.

The diagonal is: 421

8 0
3 years ago
Read 2 more answers
Find 0.8% of 1,046<br><br> ddddddddddddddddddddddddddddddddddddddd
evablogger [386]

0.8/100 * 1046

=8.368

6 0
3 years ago
Read 2 more answers
Other questions:
  • ANSWER TO BE NAMED BRAINLIEST GET 20 PTS , GET A THANK YOU, A FRIEND REQUEST, AND A 5 STAR VOTE FOR YOU ANSWER PLEZ ANSWER ONLY
    7·2 answers
  • 31/8 into a mixed number
    14·2 answers
  • bryans aquarium is 6 feet long, 4 feet wide and 5 feet high, how many cubic feet of water can the tank hold?
    15·1 answer
  • The equation y = 1.9 x can be used to determine the total weight in pounds, y, of the number of paperback books in the first pri
    5·2 answers
  • Data are collected to see how many ice-cream cones are sold at a ballpark in a week. Day 1 is Sunday and Day 7 is the following
    8·1 answer
  • Linear function A and linear function B both have the same input values as shown below. Why will the output values for linear fu
    6·2 answers
  • Which expression (s) are equivalent to the given expression
    14·1 answer
  • Please answer soon. math. screenshot below.
    11·2 answers
  • In the month of Nov Pharoah company inc wrote checks in the amount of$10310. In dec checks in the amount of $ 11785 were written
    9·1 answer
  • ( 1 ) 0.006 m (cm) =<br> ( 2 ) 17, 605 mm (km) = <br> ( 3 ) 1,001,00 dm (km) =
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!