Use the information to write the dimensions of each rectangle in terms of w, the width of the 1st one.
1st rectangle;
l = 2w
w = 2
2nd rectangle:
w = w
l = 2w + 4
If the area of the 2nd rectangle is 70 square meters, you will use the area formula to write an equation that you will solve using the factoring.
A = lw
70 = w(2w + 4)
70 = 2w^2 + 4w
0 = 2w^2 + 4w -70
0 = 2 (w^2 +2w - 35)
0 = 2 (w + 7) (w - 5)
To get zero, the width would need to be -7 or 5. Because it is a distance, it has to be 5 meters.
The width of both rectangles is 5 meters.
Answer:
x^2 + y^2 = r^2
Step-by-step explanation:
See image. "An angle in standard position" means the vertex (point part) of the angle is at the origin (0,0). And one side of the angle is glued onto the x-axis. The other side of the angle is free to rotate around the axis. That's the terminal side. Then there's a point P (x,y) on that side. See image. And r is labelled there. This set up makes a right triangle. So I put Pythagorean theorem as the answer here, but honestly if you are learning any right triangle theorems or trigonometry, you could use this set up. The leg that lays along the x-axis is x units long and the other leg is y units long. The hypotenuse is r units long.
Based on the given data, the following formula will be useful;
Area of the base, A = pi*r^2
Lateral Area, A(l) = pi*r*sqrt of h^2 + r^2
Surface Area, A(s) = pi*r*(r+sqrt of h^2 + r^2)
Based on the given area of the base, the radius can be calculated and is equal to 3.9088 in. Based on the given lateral area, the h or the lateral edge can be calculated and is equal to 7.8785 in. Given all the information needed, and directly substituting to the above formula for surface area, SA is equal to 156 in^2 (option D)
Step-by-step explanation:
this is the answer of the required questions
thank you
Answer:
138°
Step-by-step explanation:
∠YUV creates arc YV. Circle Z is made up of arc UV (84°) and arc YV. Solve for the measure of arc YV. (A circle equals 360°)
84° + x = 360°
arc YV = 276°
arc YV is formed from a secant and a tangent. Because of this ∠YUV is half of arc YV.
276° ÷ 2 = 138°
∠YUV = 138°
