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:
The answer is that y = 3
Step-by-step explanation:
In order to find y, you must first find x. You can do that by noting the two angles next to each other create a straight line and therefore are equal to 180 degrees.
(4x + 23) + (9x - 38) = 180
13x - 15 = 180
13x = 195
x = 15
Now that we have the value of x, we can use the alternating interior angle theorem to tell that 27y - 1 is equal to 4x + 23. Using our value for x, we can solve for y.
27y - 1 = 4x + 23
27y - 1 = 4(15) + 23
27y - 1 = 60 + 23
27y - 1 = 83
27y = 84
y = 3
Answer: x= -3
Step By Step Explanation:
She originally started with 23.
We can tell this by working the equation backwards. Since she has 5 left and she had just given half to her brother, we know she had 10 a moment ago.
Before that, Mary had eaten a cookie. So we add 1 to the total and now have 11.
Before eating that cookie, she has given half to her sister, which would give her 22.
And before giving half to her sister, she had eaten the first one, which would give us 23 to start with.
Answer:
Aright well the Answer to this is
6 because you first write the problem as a mathematical expression 30% 20
then convert 30% to a decimal
Then multiply 0.3 by 20 Hope this helps :)
Step-by-step explanation:
