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Lana71 [14]
4 years ago
13

In the triangle below, what ratio is sin θ? right triangle with sides whose lengths are 5, 12, and 13; angle theta is opposite t

he side whose length is 12

Mathematics
2 answers:
butalik [34]4 years ago
6 0
If you sketch the triangle, you need to understand that 12 is the length of opposite side (opposite to theta). Then the longest side is 13 is the hypotenuse. The other side with length 5 is the adjacent side. Thus from the definition of sin(theta)=opposite side/hypotenuse=12/13. A question for you, what is cos(theta)? cos(theta)=5/15 and tan(theta)=12/5
love history [14]4 years ago
5 0

Answer:

Sin θ = \frac{12}{13}

Step-by-step explanation:

In the figure attached, ABC is a right angle triangle.

Sides of this triangle are AB = 12 BC = 5 and CA = 13

Angle opposite to the side having length = 12 is θ.

Now we have to calculate sin θ.

Since Sinθ = \frac{\tex{Opposite side}}{\tex{Hypotenuse}}

= \frac{12}{13}

Therefore, ratio which represents sinθ will be \frac{12}{13}

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Simplify (3х2 – 2) + (2х2 – бх + 3).
kolbaska11 [484]

Answer:

5x^2 -6x +1

Step-by-step explanation:

(3х^2 – 2) + (2х^2 – бх + 3).

Combine like terms

(3х^2  + 2х^2 – бх + 3-2)

5x^2 -6x +1

4 0
3 years ago
I need help. tomorrow i have my state test.
iren [92.7K]

just count how many there and and eliminate one by one

6 0
3 years ago
A small telescope magnifies
WARRIOR [948]

The observatory telescope has 22 times the magnifying power compared to the small telescope.

Data;

  • small telescope = 150 times
  • large telescope = 3300

<h3>Division of Numbers</h3>

To solve this question, we have to divide the large telescope by the small telescope to calculate it's magnifying power.

x = \frac{3300}{150}=22

The magnification of the observatory telescope is 22 times greater or larger than the small telescope.

Learn more on division of numbers here;

brainly.com/question/7068223

4 0
2 years ago
George plans to cover his circular pool for the upcoming winter season. The pool has a diameter of 20 feet and the cover extends
MariettaO [177]

For the circular cover we have:

A) The area is 379.94 ft²

B) The length of the rope must be 68.2 ft

<h3>How to get the area of the cover?</h3>

Remember that the area of a circle of radius R is given by the formula:

A = pi*R^2

Where pi = 3.14

In this case, the diameter of the pool is 20ft, then the radius is:

R = 20ft/2 = 10ft

And it must extend 12 inches beyond, then the radius of the cover must be:

R = 10ft + 12in

Now, we know that 1ft = 12 in, then we can rewrite the radius as:

R = 10ft +1ft = 11ft

Then the area of the cover is:

A = 3.14*(11ft)^2 = 379.94 ft^2

B) now we want to get the length of the rope, we know that the rope runs along the cover, then the length of the rope must be equal to the circumference of the cover.

Remember that the circumference of a circle of radius R is:

C = 2*pi*R

Then the length of the rope will be:

C = 2*3.14*11ft = 68.2ft

If you want to learn more about circles:

brainly.com/question/1559324

#SPJ1

7 0
2 years ago
you are purchasing carpeting for an office building the space to be carpeted is 30 feet by 50 Company A charges a 2.99 per squar
vladimir2022 [97]
A:1500 x 2.99 +200= $4685
1500 ft^2=166.67 yard^2
B: 166.67 x 19.99+500= $3831.7333
                                    = $3831.75
Company B is the better deal
3 0
3 years ago
Read 2 more answers
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