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
AleksAgata [21]
3 years ago
5

If sine theta equals three over four, what are the values of cos θ and tan θ?

Mathematics
1 answer:
ratelena [41]3 years ago
7 0

Answer:

In words, Cosine theta equals plus or minus square root of seven over 4,tangent theta equals plus or minus  three over root seven

Step-by-step explanation:

Given that sin ∅ =3/4 It means the ratio of the opposite side to the hypotenuse side is 3:4.

Using the Pythagoras theorem we can calculate the hypotenuse adjacent as follows.

a²+b²=c²

a²=c²-b²

a²=4²-3²

a²=16-9

a²=7

a=√7

Then Cos ∅= opposite/ adjacent

=√7/4

Then Tan ∅ = opposite/adjacent

=3/√7

In words, Cosine theta equals plus or minus square root of seven over 4,tangent theta equals plus or minus  three over root seven.

You might be interested in
You blow a bubble in the shape of a sphere. It has a radius of 5 inches. Which choice is closest to its surface area? Use 3.14 t
vredina [299]
The formula to find the surface area of a circle is: pi x radius², so if we square the radius the answer would be 25, then we multiply that by 3.14 and the answer would be around 78.5, so the answer is 78.5.
8 0
3 years ago
Read 2 more answers
I need helping the surface area of this triangular prism. I will mark as Brainliest asap.
ch4aika [34]

Answer:

Area≈61.79

Step-by-step explanation:

used a calculator bruh

4 0
3 years ago
Find the area of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximati
Svetach [21]

Answer:

Answer:18+4.5\pi \\

Step-by-step explanation:

This shape is a triangle with a semicircle connected to it

and this triangle is a right triangle so side A=B

that means the other leg is 6.Knowing that we can solve

The formula for the area of a triangle is (base×height)÷2

so that means 6×6 equals 36 and if you divide that by 2 you get the 18.

Now we will deal with the semicircle. We know that both of the legs are 6 so that means the diameter is 6 and now we solve 6 divided by 2 equals 3 and we will have to square that and we will 9 and since it is a semicircle we have to divide it by 2  and that will give us 4.5 and since we have to express it in terms of pi it will be 4.5(pi) and then we add both of the areas

giving us 18+4.5(pi)

and do you go to RSM

8 0
3 years ago
A square garden has an area of 144ft^2 .<br>What is the length side of the garden?
Vladimir [108]
12, because 144^2/2=12
4 0
3 years ago
A skier has decided that on each trip down a slope, she will do 3 more jumps than before. On her first trip she did 5 jumps. Der
taurus [48]
Since we are already given the amount of jumps from the first trial, and how much it should be increased by on each succeeding trial, we can already solve for the amount of jumps from the first through tenth trials. Starting from 5 and adding 3 each time, we get: 5 8 (11) 14 17 20 23 26 29 32, with 11 being the third trial.

Having been provided 2 different sigma notations, which I assume are choices to the question, we can substitute the initial value to see if it does match the result of the 3rd trial which we obtained by manual adding.

Let us try it below:

Sigma notation 1:

  10
<span>   Σ (2i + 3)
</span>i = 3

@ i = 3

2(3) + 3
12

The first sigma notation does not have the same result, so we move on to the next.

  10
<span>   Σ (3i + 2)
</span><span>i = 3
</span>
When i = 3; <span>3(3) + 2 = 11. (OK)
</span>
Since the 3rd trial is a match, we test it with the other values for the 4th through 10th trials.

When i = 4; <span>3(4) + 2 = 14. (OK)
</span>When i = 5; <span>3(5) + 2 = 17. (OK)
</span>When i = 6; <span>3(6) + 2 = 20. (OK)
</span>When i = 7; 3(7) + 2 = 23. (OK)
When i = 8; <span>3(8) + 2 = 26. (OK)
</span>When i = 9; <span>3(9) + 2 = 29. (OK)
</span>When i = 10; <span>3(10) + 2 = 32. (OK)

Adding the results from her 3rd through 10th trials: </span><span>11 + 14 + 17 + 20 + 23 + 26 + 29 + 32 = 172.
</span>
Therefore, the total jumps she had made from her third to tenth trips is 172.


3 0
3 years ago
Other questions:
  • Simplify the expression using the exponent properties 5 ^ −4 x 5^ −3
    7·1 answer
  • When you need a fraction of a number like 1/3 of 9 how do you find out how much you need?
    9·1 answer
  • Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her
    14·2 answers
  • What is the volume of a cube of side length 9 cm?
    12·2 answers
  • A local park is adding a new 14 ft long slide to the playground. The vertical height of the slide is h. The distance from the bo
    11·1 answer
  • Plz help ASAP!!!!!!!!!!!!!
    11·1 answer
  • A student bought a juice pouch for $2.50 and 3 bags of chips . The total cost was $5.05 write and solve an equation to determine
    13·2 answers
  • Bobbi can mow the park in 3 hours and Deshaun can do the same job in 7 hours. How long will it take them to mow the park
    12·1 answer
  • first number plus twice a second number is 1 . Twice the first number plus the second totals 8. Find the numbers.
    7·1 answer
  • What is x to the nearest tenth?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!