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2 years ago

An are whose measure is exactly 180°

Mathematics

1 answer:

Elenna [48]2 years ago

5 0

Answer:

Mmeasure is exactly 180°

semi-circle because the measure of a whole circle is 360°.

Arc :

The arc of a circle consists of two points on the circle and all of the points on the circle that lie between those two points. It's like a segment that was wrapped partway around a circle. An arc is measured not by its length (although it can be, of course) but most often by the measure of the angle whose vertex is the center of the circle and whose rays intercept the endpoints of the arc. Hence an arc can be anywhere from 0 to 360 degrees.

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I don't even know how to figure this out. I don't have a formula for this

yuradex [85]

Answer:

$\sin\theta=\dfrac{15}{17}$

$?=15$

Step-by-step explanation:

Use the trigonometry formula

$\cos^2\theta+\sin^2\theta=1$

You are given that

$\cos \theta=\dfrac{8}{17}$

Substitute into the first formula

$\left(\dfrac{8}{17}\right)^2+\sin^2\theta=1\\ \\\dfrac{64}{289}+\sin^2\theta=1\\ \\\sin^2\theta=1-\dfrac{64}{289}=\dfrac{289-64}{289}=\dfrac{225}{289}\\ \\\sin \theta=\pm \dfrac{15}{17}$

Angle $\theta$ is acute angle, then the sine of this angle is positive and

$\sin\theta=\dfrac{15}{17}$

3 0

3 years ago

Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 26, the length of A C is 10, and the leng

ExtremeBDS [4]

Answer:

<h2>The right option is twelve-fifths</h2>

Step-by-step explanation:

Given a right angle triangle ABC as shown in the diagram. If ∠BCA = 90°, the hypotenuse AB = 26, AC = 10 and BC = 24.

Using the SOH, CAH, TOA trigonometry identity, SInce we are to find tanA, we will use TOA. According to TOA;

Tan (A) = opp/adj

Taken BC as opposite side since it is facing angle A directly and AC as the adjacent;

tan(A) = BC/AC

tan(A) = 24/10

tan(A) = 12/5

The right option is therefore twelve-fifths

7 0

3 years ago

Read 2 more answers

What are the vertex and x-intercepts of the graph of the function given below?

olchik [2.2K]

The correct question is
What are the vertex and x-intercepts of the graph of the function given below?
y = x²-2x-35

step 1
convert the equation in the vertex form
y+35=x²-2x
y+35=(x²-2x+1-1)
y+35+1=(x²-2x+1)
y+36=(x-1)²------> equation in the vertex form

the vertex is the point (1,-36)

the answer Part a) is
the vertex is the point (1,-36)

Part b) Find the x-intercepts
we know that
the x-intercepts is when y=0
so
y+36=(x-1)²
for y=0
(x-1)²=36
(+/-)(x-1)=√36-------> (+/-)(x-1)=6
(+)(x-1)=6------> x=6+1-----> x=7
(-)(x-1)=6-----> x=1-6-----> x=-5

the x-intercepts are the points
(7,0) and (-5,0)

the answer part b) is
the x-intercepts are the points (7,0) and (-5,0)

the total answer is the option
A. Vertex: (1, -36); x-intercepts: (7, 0) and (-5, 0)

6 0

3 years ago

Write an equation for each exponential function in the form y=abₓ (to the xth power)

GuDViN [60]

Answer:

y = 2 * 9 ^ x

Step-by-step explanation:

From the first point, you can get the value of a, since any number with power 0 with always equal to 1

2 = a(1)
a = 2

Now you have y = (2)(b ^x), use the second point, substitute the value of X and y to (3,1458) to get the B value.

1458 = 2b ^ 3
729 = b ^ 3
B = 9

8 0

3 years ago

Which function is shown on the graph?

LenaWriter [7]

Answer:

Step-by-step explanation:

7 0

3 years ago

An are whose measure is exactly 180°​

An are whose measure is exactly 180°