Answer: Option A.
Step-by-step explanation:
The angle ∠QST and the angle ∠QSR are supplementary.
If two angles are supplementary, means that the sum of both angles is 180 degrees.
Thenrefore
Solve for the angle ∠QSR and substitute the value of the angle ∠QST to find the value of the angle ∠QSR. Then, solving the equation, you get:
Then 
is:
This matches with the option A.
Answer:
y = 1/2x + 5
Step-by-step explanation:
The first thing you should know about a perpendicular line is that the slope is the opposite reciprocal. So, the slope is 1/2. This is your current equation: y= 1/2x + b. Plug in your point to the equation, it should look like this: 6 = 1/2(2) + b. 1/2 x 2 equals 1. This is what it should look like: 6 = 1 + b. Subtract 1 from both sides to get 5 = b. Go back to your original equation and plug in 5. This is your final equation: y = 1/2x + 5. Hope this helped!
Break the problem into two parts: 1) the area of the this isosceles triangle whose hypotenuse is AB and 2) the area of the semicircle whose diameter is AB.
The triangle is isosceles because the lengths of the two shorter legs are the same (2 meters). Use the Pythagorean Theorem to find the length of the hypotenuse of this triangle. (AB)^2 = (2 m)^2 + (2 m)^2, or 8 m^2. Thus, AB = sqrt(8 m^2), or 2sqrt(2). This AB is also the base of the triangle. What is the area of the triangle?
Next, noting that the diameter AB of the semicircle is 2sqrt(2) and the radius is just sqrt(2), find the area of the semicircle. The area of a circle of radius r
is pi*r^2; here it's pi*(sqrt 2)^2, or pi*2, or 2pi.
Add the area of the triangle to this area of the semicircle (2pi) to find the total area of the figure.
Hint: the area of a triangle is (bh)/2, where h is the height, b is the base.
Answer:
No. of children Frequency
0. 5
1. 7
2. 11
3. 5
4. 6
5 3
6 3
Your equation would be 4x=240
Devide both sides of the equation by four
x=60
