Answer:
Big square - unshaded = shaded
((8+4)X(10+5))-(10X8)=100
Answer: 100
Step-by-step explanation:
Hello,
The formula for finding the area of a circular region is:
then:
With the two radius it is formed an isosceles triangle, so, we must obtain its area, but first we obtain the height and the base.
Now we can find its area:
![A_{2}=2* \frac{b*h}{2} \\ \\ A_{2}= [r*sen(40)][r*cos(40)]\\ \\A_{2}= r^{2}*sen(40)*cos(40)](https://tex.z-dn.net/?f=A_%7B2%7D%3D2%2A%20%5Cfrac%7Bb%2Ah%7D%7B2%7D%20%20%5C%5C%20%20%5C%5C%20A_%7B2%7D%3D%20%5Br%2Asen%2840%29%5D%5Br%2Acos%2840%29%5D%5C%5C%20%20%5C%5CA_%7B2%7D%3D%20r%5E%7B2%7D%2Asen%2840%29%2Acos%2840%29)
The subtraction of the two areas is 100cm^2, then:
Answer: r= 1.59cm
Answer:
42 miles.
Step-by-step explanation:
It is given that Mr. and Mrs. Rivers left their house at 10:00 a.m. driving in opposite directions.
Speed of Mr. Rivers = 48 mph
Speed of Mrs. Rivers = 36 mph
We need to find the distance between them at 10:30 a.m.
10:30 - 10:00 = 0:30 = 30 minutes = 1/2 = 0.5 hour
Distance covered by Mr. Rivers in half hour = 48 × 0.5 = 24
Distance covered by Mrs. Rivers in half hour = 36 × 0.5 = 18
Total distance covered by both in half hour = 24 + 18 = 42
Therefore, they are 42 miles far from each other at 10:30 a.m.
Answer:
The system is:
x + y = 8
x - y = -14
And the solution is:
x = -3
y = 11
Step-by-step explanation:
We have two numbers x and y, such that:
x + y = 8 (the sum is equal to 8)
x - y = -14 (the difference is equal to -14)
This is the system of equations we need to solve.
To solve the system, we first need to isolate one of the variables in one of the equations, I will isolate x in the first equation:
x = 8 - y
Now we can replace this in the other equation to get:
(8 - y) - y = -14
8 - 2*y = -14
8 + 14 = 2*y
22 = 2*y
22/2 = y
11 = y
Now we can replace this in the equation "x = 8 - y"
To get:
x = 8 - 11 = -3
Then the solution to the system is:
x = -3 and y = 11
