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leonid [27]
2 years ago
12

A circular well has a circumference of 7.85 yards. What us the diameter of the well

Mathematics
2 answers:
sergiy2304 [10]2 years ago
6 0
15.7 that thy answer 
Lelechka [254]2 years ago
6 0
The circumference of 7.85 yards is 15.7
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WILL MARK BRAINLEST HELP ASAP!!!!!
astra-53 [7]

Answer:

Area of the rectangle is 10x²+7-6

Step-by-step explanation:

Area of rectangle is the product of its length and width

As length of given rectangle is 5x+6 and its width is 2x-3 the are is

(5x+3)(2x-3)

=5x·2x-5x+6·2x-6

=10x²-5x+12x-6

=10x²+7x-6

5 0
3 years ago
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Pumping stations deliver oil at the rate modeled by the function D, given by d of t equals the quotient of 5 times t and the qua
goblinko [34]
<h2>Hello!</h2>

The answer is:  There is a total of 5.797 gallons pumped during the given period.

<h2>Why?</h2>

To solve this equation, we need to integrate the function at the given period (from t=0 to t=4)

The given function is:

D(t)=\frac{5t}{1+3t}

So, the integral will be:

\int\limits^4_0 {\frac{5t}{1+3t}} \ dx

So, integrating we have:

\int\limits^4_0 {\frac{5t}{1+3t}} \ dt=5\int\limits^4_0 {\frac{t}{1+3t}} \ dx

Performing a change of variable, we have:

1+t=u\\du=1+3t=3dt\\x=\frac{u-1}{3}

Then, substituting, we have:

\frac{5}{3}*\frac{1}{3}\int\limits^4_0 {\frac{u-1}{u}} \ du=\frac{5}{9} \int\limits^4_0 {\frac{u-1}{u}} \ du\\\\\frac{5}{9} \int\limits^4_0 {\frac{u-1}{u}} \ du=\frac{5}{9} \int\limits^4_0 {\frac{u}{u} -\frac{1}{u } \ du

\frac{5}{9} \int\limits^4_0 {(\frac{u}{u} -\frac{1}{u } )\ du=\frac{5}{9} \int\limits^4_0 {(1 -\frac{1}{u } )

\frac{5}{9} \int\limits^4_0 {(1 -\frac{1}{u })\ du=\frac{5}{9} \int\limits^4_0 {(1 )\ du- \frac{5}{9} \int\limits^4_0 {(\frac{1}{u })\ du

\frac{5}{9} \int\limits^4_0 {(1 )\ du- \frac{5}{9} \int\limits^4_0 {(\frac{1}{u })\ du=\frac{5}{9} (u-lnu)/[0,4]

Reverting the change of variable, we have:

\frac{5}{9} (u-lnu)/[0,4]=\frac{5}{9}((1+3t)-ln(1+3t))/[0,4]

Then, evaluating we have:

\frac{5}{9}((1+3t)-ln(1+3t))[0,4]=(\frac{5}{9}((1+3(4)-ln(1+3(4)))-(\frac{5}{9}((1+3(0)-ln(1+3(0)))=\frac{5}{9}(10.435)-\frac{5}{9}(1)=5.797

So, there is a total of 5.797 gallons pumped during the given period.

Have a nice day!

4 0
3 years ago
(9x2 + 8x) – (2x2 + 3x)
Arte-miy333 [17]

Answer: 14+5x

Step-by-step explanation:

(18+8x) - (4+3x)

18+8x-4-3x

14+5x

7 0
3 years ago
Read 2 more answers
What two measurement could make up a complementary angle when one angle is 8 degrees more than the other?
Firdavs [7]
Complimentary angles add up to 90 degrees

x + y = 90
x = y + 8

y + 8 + y = 90
2y + 8 = 90
2y = 90 - 8
2y = 82
y = 82/2
y = 41

x = y + 8
x = 41 + 8
x = 49

so ur angles are : 41 and 49
7 0
3 years ago
What two integers have a sum of negative ten and a product of negative seventy five?
Natali [406]
A+b=-10
ab=-75

a=-75/b
-75/b + b = -10

-75/b + b²/b = -10b/b
b²+10b-75=0

(b+15)(b-5)=0
b+15=0 or b-5=0,
b= -15, a=5
7 0
3 years ago
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