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
Alchen [17]
3 years ago
8

in a right triangle, if angle O is equal to 39 and the side adjacent to is equal to 12.0 centimeters, what is the approximate le

ngth of the opposite side?
Mathematics
2 answers:
lesya [120]3 years ago
8 0
Approximated: 9.7cm
Exact: 12tan(39) or \frac{12}{tan51}

Explanation:
It's always best for these types of questions to visualise it. A right triangle has base angle of 90°. Mark in what you know, and leave out the rest. Notice how the question doesn't ask for a hypotenuse. This means that you might be using the tangent function as the tangent function also doesn't require a hypotenuse.

So now, you have a side of 12cm, with the corresponding 39° angle marked.
To find the missing length, you can use the tangent function to approximate the length:

tan39 = \frac{x}{12} (opposite/adjacent)

Now, isolate the variable, x:
x = 12tan39 (exact form)
x = 9.7cm (approximated to 1 decimal place)
Luden [163]3 years ago
7 0

Answer:

9.7 cm

Step-by-step explanation: I took the test.

You might be interested in
A farm is divided into 9 equal sections. Five sections are full of vegetables. What fraction of the farm is not full of vegetabl
zhuklara [117]

Answer:4/9


Step-by-step explanation:


3 0
3 years ago
Are the two expressions below equivalent. SHOW and EXPLAIN all your
valina [46]

Answer:

No they're not equivalent

Step-by-step explanation:

5(x - 9) + 2x -1 -5(9 - x) - 2x

5x - 45 + 2x - 1 5x - 45 - 2x

7x + 46 does not equal 3x - 45

Explaining isnt my specialty, sorry

8 0
3 years ago
Alex is making puppets for a show. He bought all the string needed for $125. It costs $18 for the remaining materials to make ea
Alexus [3.1K]

Alex bought all the string needed for $125.

It costs $18 for the remaining materials to make each puppet.

So if we closely observe then we see that here $125 is the fixed cost because its not going to change with number of puppets.

And the variable cost is $18.

In this case we can model a Total cost function C(x) for for x number of puppets as below

C(x)=125+18x\\ \\ \text{Here x is the number of puppets}\\ \\ \text{Since in our case the number of puppets is 50 so replace x by 50 we get }\\ \\ C(50)=125+18*50\\ \\ C(50)=125+900\\ \\ C(50)=1025  \ dollar.

The total cost to make 50 puppets=$1025

3 0
3 years ago
Read 2 more answers
Please find the markup selling price<br> 1. Shorts $20<br> 25% discount<br> Sale price:
atroni [7]
20(1-p)
20(1-0.25)
20(0.75)
=15
so the sale price is $15
hope this helps !
5 0
3 years ago
Read 2 more answers
What are the multiples of 6 through 100
bulgar [2K]
6,12,18,24,30,36,42,48,54,60,66,72,78,84,90,96,
5 0
3 years ago
Read 2 more answers
Other questions:
  • .Solve 3 ( x - 4 ) = -6 for x
    15·1 answer
  • Which is larger 11.4cm or 118m?
    15·1 answer
  • If k = (n + 2)(n – 2), where n is an integer greater than 2, what is the value of k ? (1) k is the product of two primes. (2) k
    5·1 answer
  • How to solve -5/7-11/7x=-y<br> 2y=7+5x
    9·1 answer
  • A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed.
    5·2 answers
  • What is 2/5 ÷ -2/3 as a fraction
    7·2 answers
  • Write each of these statements in the form "if p, then q" in English.
    12·1 answer
  • What is the result of subtracting the second equation from the first?<br> x−3y=6<br> −8x−y=6
    7·1 answer
  • What is the solution to this equation?
    13·2 answers
  • H.C.F of 4,5 and 10 in Division method​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!