explain why the sine of x is the sample regardless of which triangle is used to find it in the figure

Answers

Answer 1

Answer: Sine of x is used when to find the side of the triangle that does not have any right angle or is not a right triangle. This is according to the Law of Sines, which states that the sides of the triangle are to one another in the ratio as the sines of their opposite angles.

Related Questions

(01.01 MC)Why is 3 + (−5) equal to −2? Because it is 5 units to the left of 0 on a horizontal number line Because it is 5 units to the right of 3 on a horizontal number line Because it is 5 units to the left of 3 on a horizontal number line Because it is 5 units to the right of 0 on a horizontal number line
Which expression is equivalent to (8-3i)-(2-91)?Ο Α. 18-6i OB. 11 +78 O C. 6-12i O D. 6+6i
PLEASE ANSWER FAST!Find BDC. BDC=
Goran made 6 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 6 necklaces was $33.60 . If the beads cost $2.90 for each necklace, how much did each pendant cost?
Consider the functions f(x) = x2 − 13 and g(x) = x + 5. What is the value of (f − g)(−4)? ...?

you have 160 yards of fencing to enclose a rectangular region. find the maximum area of the rectangular region

Answers

I know that for a fixed perimeter, the shape that encloses the greatest area
is a circle, and the rectangle that encloses the greatest area is a square.
Sadly, I don't know how to prove it to you without Calculus.

If you'll take my assertion that the greatest rectangle is a square, and accept
it on faith, then you should use your 160-yd of fence to enclose a square with
40-yd sides. The area inside it is (40 x 40) = 1600 square yards.

Here are some other choices.
Each one has the same perimeter ... 160 yards.
This table kind of suggests to you that a square is the rectangle
   with the greatest area. (But it doesn't prove it.)

Length    Width    Area
35-yd     45-yd    1,575 square yards
30 50 1,500
25 55 1,375
20 60 1,200
15 65    975
10 70 700
    5 75    375
    3 77    231
    2 78    156
    1    79    79
2-ft 79-yd 1-ft    52.89
1-ft    79-yd 2-ft    26.56
1-inch 79-yd 35-in 2.19 square yards

With the same 160-yd of fence, you could have squeezed in some more
area by setting the fence down in a circle with circumference = 160-yd.
The area inside the circle would be

       Area = (pi) (radius)² = (circumference)² / (4 pi) = 2,037.2 square yards

The area of a circle is always (4 / pi) times the area of the square with the
same perimeter. That's about 27.3% more area than the square.

To optimize the area, the shape should be a square. Clearly, with 160 yards of fencing, the square will have side-length 160/4=40 yards. Therefore, the area will be 40*40=1600 yards.

What is 4.12 expressed as the quotient of two integers in simplest form

Answers

All you do is turn 4.12 into a whole, make it over 100 and simplify.

So, 4.12

= 412/100

Which simplifies to 103/25.

The temperature is 18 farenheit at 7am. By 2pm,the temperature has gotten warmer by 28 degrees. What is the temperature at 2pm?

Answers

Answer: 46 degrees

Step-by-step explanation:

To find the temperature at 2 p.m., we can add the increase of 28 degrees to the initial temperature of 18 degrees.

18 + 28 = 46

Therefore, the temperature at 2 p.m. is 46 degrees Fahrenheit.

Happy to help; have a great day! If you liked my answer, please give me Brainliest :)

768 is 60% of what number?

Answers

$0.6x=768$

$(0.6x)/(0.6)=(768)/(0.6)$

$x=1280$

1280 pls put brainleistely answer

Step-by-step explanation:

Solve the triangle, find m∠A and m∠C. Round angles to the nearest degree.m∠A= __∘

m∠C= __∘

Answers

In the given right triangle ABC, m∠A ≈ 26.44° and m∠C ≈ 63.56°.

To solve the right triangle ABC, we can use trigonometric ratios. In a right triangle, the three main trigonometric ratios are:

1. Sine (sin): $\sin(\theta) = \frac{{\text{opposite side}}}{{\text{hypotenuse}}}$

2. Cosine (cos): $\cos(\theta) = \frac{{\text{adjacent side}}}{{\text{hypotenuse}}}$

3. Tangent (tan): $\tan(\theta) = \frac{{\text{opposite side}}}{{\text{adjacent side}}}$

Given:

AC = 38

AB = 17

To find the angles m∠A and m∠C, we can use the sine and cosine ratios, respectively.

1. For m∠A:

$\sin(m\angle A) = \frac{{AB}}{{AC}} = \frac{{17}}{{38}}\)\n\n\(m\angle A= \sin^(-1)\left(\frac{{17}}{{38}}\right)$

2. For m∠C:

$\cos(m\angle C) = \frac{{AB}}{{AC}} = \frac{{17}}{{38}}\)\n\n\(m\angle C = \cos^(-1)\left(\frac{{17}}{{38}}\right)$

Let's calculate the angles:

$1. $m\angle A \approx \sin^(-1)\left(\frac{{17}}{{38}}\right) \approx 26.44^\circ$\n\n2. $m\angle C \approx \cos^(-1)\left(\frac{{17}}{{38}}\right) \approx 63.56^\circ$$

Therefore, m∠A ≈ 26.44° and m∠C ≈ 63.56° (rounded to the nearest degree).

To know more about right triangle, refer here:

brainly.com/question/31613708

#SPJ2

Answer:

$m\angle A=63^\circ\nm\angle C=26^\circ$

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of the triangle is called the hypotenuse and the other two sides are called the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The cosine ratio is defined as:

$\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}$

Note the angle A of the figure has 17 as the adjacent leg and 38 as the hypotenuse, so we can directly apply the formula:

$\displaystyle \cos A=(17)/(38)$

$\cos A=0.4474$

Using a scientific calculator, we get the inverse cosine:

$A=\arccos(0.4474)$

$A\approx 63^\circ$

Since A+B+C=180°, we can solve for C:

C = 180° - A - B

C = 180° - 63° - 90°

C = 26°

Thus:

$m\angle A=63^\circ\nm\angle C=26^\circ$

PLEASE PLEASE PLEASE HURRY!Which is the best strategy to use to solve this problem?

Mr. Jackson wants to build a pool in his backyard. He plans to put a safety fence around the rectangular pool area that has an area of 400 square feet. He wants to use as little fence material as possible.

What are the dimensions Mr. Jackson should use for his rectangular pool area?

A.
Make a list.

Create a list of all possible whole-number combinations of length and width that would equal an area of 400 square feet. Then start calculating the perimeter of each rectangle. Look for a pattern to decrease the number of calculations you have to make.

B.
Write a number sentence.

Use a number sentence to calculate the area of a rectangle. Use guess and check to find two numbers that when multiplied will give a product of 400.

C.
Use objects.

Arrange 400 square tiles in different patterns until you get a rectangular shape. Count the number of tiles on the perimeter of the shape.

Answers

I believe it might be A or C. Not really sure

Other Questions

Pls help its urgentttt

The simple interest earned by an account varies jointly as the time and the principal. In 2 years, a principal of $5000 earns $650 interest. How much would $1000 earn in 1 year?

The digit in the tens place is twice as big as the digit in the tens place in 182,437. A) True B) False

If h(x) = −5x − 10, find h(−2). −20 1.6 −1 0