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4 years ago

Solve for h, if the given equation is: s=2πr^2+2πrh solve

1 answer:

5 0

First isolate the group with h in it
minus 2pir^2 from both sides
s-2pir^2=2pirh
divide both sides by 2pir
(s-2pir^2)/(2pir)=h

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3 years ago

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ANTONII [103]

5 out of 12 = 5/12

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The area of a rectangle gets reduced by 9 square units if its length is reduced by 5 units and the breadth is increased by 3 uni

ale4655 [162]

length = 17 units, breadth = 9 units

Step-by-step explaination:-

Let the length and the breadth of the rectangle be x units and y units respectively.

Then the area of rectangle = xy square units

According to given conditions, we have

(x -5)(y + 3) = xy - 9 and (x + 3)(y + 2) = xy + 67

=> xy + 3x - 5y - 15 = xy - 9

and xy + 2x + 3x + 6 = xy + 67

=> 3x - 5y - 6 = 0......eqn(i)

and 2x + 3y - 61 = 0.....eqn(ii)

Multiplying equation (i) by 2 and equation (ii) by 3, we get...

6x - 10y - 12 = 0....eqn(iii) and,

6x + 9y - 183 = 0....eqn(iv)

Subtracting equation (iii) from equation (iv), we get...

19y - 171 = 0 => y = 9.

Substituting this value of y in equation (ii), we get

2x + 3 × 9 - 61. = 0 => 9x - 34 = 0 => x = 17.

Hence, the length of rectangle = 17 units and

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<h3>Hope it helps you!!</h3>

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2 years ago

Determine the leading coefficient c of the polynomial given that the graph goes through the point (5,100)

Ulleksa [173]

The polynomial that passes through the point (5,100) has the leading coefficient or c equal to 1.38.

<h3>What do a polynomial's leading term and leading coefficient mean?</h3>

The term with the highest power of x is the leading term in a polynomial.
As an illustration, the leading term in 7+x3x2 is 3x2. A polynomial's leading coefficient is the coefficient of the leading term. The leading coefficient in the aforementioned illustration is 3.

We need to determine the leading coefficient c of the polynomial which passes through the point (5,100).

Given polynomial: f(x) = c(x - 1)(x + 1)(x-2)

Substituting f(x) = 100 and x = 5,

100 = c(4)(6)(3)

100 = c72

c= 1.38

Therefore, the leading coefficient c of the polynomial given that the graph goes through the point (5,100) is 1.38.

Learn more about polynomial here:

brainly.com/question/2833285

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1 year ago

Scientists are preparing two satellites to be launched. The equation y=400x represents the number of miles, y, that the satellit

Andrews [41]

Answer:

2400 miles

Step-by-step explanation:

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