Answer
Step-by-step explanation:
chord makes or arc make 120° at the center.
sum of other two angles of triangle=180-120=60
because they are equal.
so each angle=60/2=30°
tangent line makes angle 90° with radius .
so 30+y=90
y=90-30=60°
Answer:
16) 62.8 m²
17) 19.4 m²
18) 103.5 m²
Step-by-step explanation:
The formula to find area of a circle is:
. To find radius, find the half of the diameter.
To solve number 16, first find the area of the unshaded circle using the formula:
. This is also 3.14*16. Multiply to get 50.24 m². Now find the area of the larger circle using the formula:
. This is also 3.14*36. Multiply to get 113.04 m². Now subtract 113.04 - 50.24 to get the shaded area or 62.8 m².
To solve number 17, first find the area of the square using the formula: side x side. In this case multiply: 5.25 x 5.25 to get 27.5625. Round to the nearest tenth to get 27.6 m². Now find the area of the circle using the formula:
. This is also 3.14*2.625. Multiply to get 8.2425. Round to the nearest tenth to get 8.2. Subtract 27.6 - 8.2 to get 19.4 m².
To solve number 18, find the area of one unshaded circle using the formula:
. This is also 3.14*3.0625. Multiply to get 9.61625. Round to the nearest tenth to get 9.6 m². Add 9.6 + 9.6 to find the area of both unshaded circles. You get 19.2 m². Now find the area of the shaded circle using the formula:
. This is also 3.14*39.0625. Multiply to get 122.65625. Round to the nearest tenth: 122.7. Subtract 122.7 - 19.2 to get 103.5 m².
Hope it helps and is correct!
Answer:
Josie because 25 miles in 5 hours is 5 miles every hour and Greta runs 4.5 miles evry hour
Step-by-step explanation:
Answer:

Step-by-step explanation:
The given differential equation is :
xy′−3y=6
We want to determine which of the following options is a solution to the differential equations.
The function that satisfies the differential equation is a solution.
We can verify that

satisfy this differential equation.
We differentiate to get:

We substitute the function and its derivative into the differential equation to get:

We expand and simplify on the left:

This simplifies to:

Verified.
We can show that all the other functions do not satisfy this differential equation
We know is a semi-circle, so let us use the equation for the area of a circle instead, and then, half it
so, the diameter is 1100, meaning the radius is half that, or 550
so...