Answer:
L*W
Step-by-step explanation:
As we Know tha area of a rectangle is Leght*witdth so in this case will be L*W but lets prove it by calculating the integral:
Area= L*W= 
So as the integral of a constant is the constant multiplied by the integration variable x.
The integral becomes: L*W(x) where W(x) in this case is W= L*W
Good luck!
Answer:
2 batches
Step-by-step explanation:
(72 lb)/(34 lb/bat) = 2 2/17 bat
___
72 ÷ 34 = 2 remainder 4.
Mateo can make 2 full batches, and will have 4 pounds of apples remaining.
The fraction 4/34 can be reduced to 2/17. That is the fraction of a batch that Mateo could make with the extra 4 lbs. of apples.
Answer: There is no solution.
Step-by-step explanation:
1.) 1 / 5 (25) + 1 / 5 (-5a) = 4 - a
2.) 5 - a = 4 - a
3.) 5 - a + a = 4 - a + a
4.) 5 = 4
The variable a is completely removed, leaving the final answer as 5 = 4, which isn't true.
Measure of the angle m ∠ RQS = 58 ° for the given circle with arc RS subtending m ∠RPS=14 x + 46 ° at the center P and m ∠ RQS = 3 x + 43 ° at Q, on the circumference.
As given in the question,
Measure of the angle is given by :
m ∠ RPS=14 x + 46 °
m ∠ RQS=3 x + 43 °
m ∠ RPS = twice m ∠RQS (angle subtended at center of the circle)
14 x +46 =2(3 x + 43)
⇒ 14x + 46 = 6x +86
⇒ 14x-6x=86-46
⇒8x=40
⇒ x=5°
m ∠ RQS = (3 x + 43) °
=[3(5) + 43 ]°
= 58°
Therefore, measure of the angle in the given circle m ∠RQS is equal to the 58 °
Learn more about angle here
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Answer:
0.51cm/s
Step-by-step explanation:
Area of a circle A = πr²
r is the radius
Rate of change of area is expressed as;
dA/dt = dA/dr • dr/dt
dA/dr = 2πr
radius r = 77cm
dA/dt = 79cm²
Get dr/dt
Substitute the given values into the formula
79 = 2π(77)•dr/dt
79 = 154dr/dt
dr/dt = 79/154
dr/dt = 0.51cm/s
Hence the rate of change of the radius is 0.51cm/s
