Answer:
:)
Step-by-step explanation:
Answer:
The measure of angle BAC is 20°
Step-by-step explanation:
step 1
Find the measure of arc BC
we have that
m∠BOC=arc BC ------> by central angle
we have
m∠BOC=40°
therefore
arc BC=40°
step 2
Find the measure of angle BAC
we know that
The inscribed angle is half that of the arc it comprises
so
m∠BAC=(1/2)[arc BC]
we have
arc BC=40°
substitute
m∠BAC=(1/2)[40°]
=20°
Answer:
1/3; 33% chance
Step-by-step explanation:
1/2 (prob. of tossing tails) * 2/3 (prob of rolling < 2) = 1/3
Answer:
4
Step-by-step explanation:
Semoga membantu anda anda sekalian
bye vangkee
Answer:
![\mathbf{V = [\dfrac{ 8 \pi }{3}] }](https://tex.z-dn.net/?f=%5Cmathbf%7BV%20%3D%20%20%5B%5Cdfrac%7B%208%20%5Cpi%20%7D%7B3%7D%5D%20%7D)
Step-by-step explanation:
Given that:
y = 6x - x² , y = 8 about x = 2
To find the volume of the region bounded by the curves about x = 2; we have the radius of the cylindrical shell to be x - 1, the circumference to be 2 π (x -2 ) and the height to be 6x - x² - 8
6x - x² - 8
6x - x² - 8 = 0
-x² + 6x - 8 = 0
x² - 6x + 8 = 0
(x -4) (x - 2 ) = 0
So;
x = 2 , x = 4
Thus, the region bound of the integral are from a = 2 and b = 4
Therefore , the volume of the solid can be computed as :





![V = 2 \pi [\dfrac{ -x^7}{4}+\dfrac{8x^3}{3} -\dfrac{20x^2}{2} +16x]^4_2](https://tex.z-dn.net/?f=V%20%3D%202%20%5Cpi%20%20%5B%5Cdfrac%7B%20-x%5E7%7D%7B4%7D%2B%5Cdfrac%7B8x%5E3%7D%7B3%7D%20-%5Cdfrac%7B20x%5E2%7D%7B2%7D%20%2B16x%5D%5E4_2)
![V = 2 \pi [\dfrac{ -(4^4-2^4)}{4}+\dfrac{8(4^3-2^3)}{3} -\dfrac{20(4^2-2^2)}{2} +16(4-2) ]^4_2](https://tex.z-dn.net/?f=V%20%3D%202%20%5Cpi%20%20%5B%5Cdfrac%7B%20-%284%5E4-2%5E4%29%7D%7B4%7D%2B%5Cdfrac%7B8%284%5E3-2%5E3%29%7D%7B3%7D%20-%5Cdfrac%7B20%284%5E2-2%5E2%29%7D%7B2%7D%20%2B16%284-2%29%20%5D%5E4_2)
![V = 2 \pi [\dfrac{ -(256-16)}{4}+\dfrac{8(64-8)}{3} -10(16-4)} +16(2) ]](https://tex.z-dn.net/?f=V%20%3D%202%20%5Cpi%20%20%5B%5Cdfrac%7B%20-%28256-16%29%7D%7B4%7D%2B%5Cdfrac%7B8%2864-8%29%7D%7B3%7D%20-10%2816-4%29%7D%20%2B16%282%29%20%5D)
![V = 2 \pi [\dfrac{ 4}{3}]](https://tex.z-dn.net/?f=V%20%3D%202%20%5Cpi%20%20%5B%5Cdfrac%7B%204%7D%7B3%7D%5D)
![\mathbf{V = [\dfrac{ 8 \pi }{3}] }](https://tex.z-dn.net/?f=%5Cmathbf%7BV%20%3D%20%20%5B%5Cdfrac%7B%208%20%5Cpi%20%7D%7B3%7D%5D%20%7D)