Answer:
Angle DBC = 51
Step-by-step explanation:
Angle ABC = angle ABD + angle DBC
We are given that angle ABC = 122 and angle ABD = 71
So 122 = 71 + angle DBC
* Solve for angle DBC *
Subtract 71 from both sides
122 - 71 = 71 - 71 + angle DBC
51 = angle DBC
Answer:
Step-by-step explanation:
<u>Standard for of quadratic equation:</u>
<u>We have </u>
<u>Sum of the roots </u>
- x₁ + x₂ = - b/a = -(-5)/2 = 2.5
<u>Product of the roots </u>
<u>We have:</u>
<u>The square of the above is:</u>
- (x₁ - x₂)² = (x₁ + x₂)² - 4x₁x₂
<u>Substitute known values and solve for c:</u>
- 0.25² = (2.5)² - 4(c/2)
- 2c = 6.25 - 0.0625
- 2c = 6.1875
- c = 3.09375
Answer:
cm per second
![\frac{dS}{dt}=320 square centimeter per secondStep-by-step explanation:We are given that volume of sphere [tex]V=\frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=%5Cfrac%7BdS%7D%7Bdt%7D%3D320%20square%20%20centimeter%20per%20second%3C%2Fstrong%3E%3C%2Fp%3E%3Cp%3E%3Cstrong%3EStep-by-step%20explanation%3A%3C%2Fstrong%3E%3C%2Fp%3E%3Cp%3EWe%20are%20given%20that%20volume%20of%20sphere%20%3C%2Fp%3E%3Cp%3E%5Btex%5DV%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
Volume of sphere is increasing at a constant rate
cubic centimeters per second
We have to find the rate of radius at which increasing
when r= 10 cm
Differentiating w.r.t time


cm per second
Now ,we are given that surface area of sphere

Differentiate w.r.t time then we get


cm per second
THE STEPS AND ANSWER IS IN THE PICTURE