Answer:
(D)9 divided by sin 60 degrees
Step-by-step explanation:
From the given figure, using trigonometry

Substituting the given values, we get





Thus, The length of the support AB is 9 divided by sin 60 degrees.
Answer:
- (1,3) is inside the triangle
Step-by-step explanation:
Orthocenter is the intersection of altitudes.
We'll calculate the slopes of the two sides and their altitudes ad find the intersection.
<h3>Side QR</h3>
- m = (3 - 5)/(4 - (-1)) = -2/5
<u>Perpendicular slope:</u>
<u>Perpendicular line passes through S(-1, -2):</u>
- y - (-2) = 5/2(x - (-1)) ⇒ y = 5/2x + 1/2
<h3>Side RS</h3>
- m = (-2 - 3)/(-1 -4) = -5/-5 = 1
<u>Perpendicular slope:</u>
<u>Perpendicular line passes through Q(-1, 5):</u>
- y - 5 = -(x - (-1)) ⇒ y = -x + 4
The intersection of the two lines is the orthocenter.
<u>Solve the system of equations to get the coordinates of the orthocenter:</u>
- 5/2x + 1/2 = x + 4
- 5x + 1 = -2x + 8
- 7x = 7
- x = 1
<u>Find y-coordinate:</u>
The orthocenter is (1, 3)
If we plot the points, we'll see it is inside the triangle
Answer with explanation:
→The Exact meaning of Probability is Chance.It Means ,that Something will happen or not in terms of rational numbers.
→As, Probability of an event lies between ,0 to 1, means ,the result is not Precise ,whether it will happen surely that is exactly 100% or it will not, that is 0%.Percentage of happening of anything lies between 0% to 100%.
→0 ≤ Probability ≤ 1,shows that ,if we represent it on the number line, it is Scattered from ,0 to 1.
These three reasons are enough to verify that, Probability can't be used to Predict exactly ,the result of an Activity.It is just representation in terms of rational number.
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. We are given the slope of -3, but we need the y-intercept. We will sub in the x coordinate for x in the equation and the y coordinate for y in the equation, along with the slope and solve for b. -2 = -3(0) + b and -2 = b. Rewriting the equation, we have y = -3x - 2.
Answer:
33.33333333....
Step-by-step explanation:
100 divided by 3 is 33.33333333..