Answer:
So we know the formula to calculate the area of the circular sector:
S=(r^2*π*a)/306°=
(5^2*3.14*40°)/360°= (1000*3.14) /360=8.72cm^2 so the right alternative should be the first one ,A.
Step-by-step explanation:
r - radius of the circle
a - corner of the circular sector
S - surface
Answer:
4 Hours
Step-by-step explanation:
Let's say that the rate of the machines 1/x, because every time they complete an order, it takes them x hours. To find x, we have to add the the rates of the individual machines, which would equal the rate of the machines working together. We know that there are four machines working together at the same rate, and it took them 32 hours.
So:
1/x + 1/x + 1/x + 1/x = 1/32
1/4x = 1/32
4x = 32
x = 8
Thus, the rate of the machines is 1/8.
Now we have to find the time of the order with only half of the machines working together. This time, we don't know the combined rate, so I'll substitute it for y.
1/8 + 1/8 = 1/y
1/4 = 1/y
y = 4
The time taken to complete it is 4 hours.
Answer:
helloeo can i help u help u help u
Hello!
You want a choice where everyone has an equal chance to answer
The answer is D) All students in each grade because A is biased because students won't be able to answer, B is biased because it is limited to only to football team and C doesn't give girls the chance to answer
The answer is D) All students in each grade
Hope this helps!
Answer:
![f(x)=x^4-9x^2-50x-150](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E4-9x%5E2-50x-150)
Step-by-step explanation:
Let f(x) be the polynomial function of minimum degree with real coefficients whose zeros are 5, -3, and -1 + 3i be f(x).
By the complex conjugate property of polynomials, -1-3i is also a root of this polynomial.
Therefore the polynomial in factored form is ![f(x)=(x-5)(x+3)(x-(-1+3i))(x-(-1+3i))](https://tex.z-dn.net/?f=f%28x%29%3D%28x-5%29%28x%2B3%29%28x-%28-1%2B3i%29%29%28x-%28-1%2B3i%29%29)
We expand to get:![f(x)=(x^2-2x-15)(x^2+2x+10)](https://tex.z-dn.net/?f=f%28x%29%3D%28x%5E2-2x-15%29%28x%5E2%2B2x%2B10%29)
We expand further to get:\
![f(x)=x^4-9x^2-50x-150](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E4-9x%5E2-50x-150)