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Nitella [24]
3 years ago
9

Change 90km per hour to feet per minute

Mathematics
1 answer:
defon3 years ago
6 0

Answer:

4921.3 ft per min is the answer

Step-by-step explanation:

speed

90km/hour *54.68 ft. hour/km. min

4921.26ft/minutes

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Evaluate the integral. (remember to use absolute values where appropriate. Use c for the constant of integration.) 5 cot5(θ) sin
ozzi

I=5\int \frac{cos^{4}\theta }{sin\theta }\times cos\theta d\theta \\\\I=5\int \left ( 1-sin^{2}\theta  \right )^{2}\times \frac{cos\theta }{sin\theta }d\theta \\put\ \sin\theta =t\\\\dt=cos\theta d\theta \\\\I=5\int\frac{t^{4}+1-2t^{2}}{t}dt\ \ \ \ \ \ \ \ \ \ \because (a-b)^2=a^2+b^2-2ab\\\\I=5\left ( \int t^{3}dt + \int \frac{1}{t} -2\int t \right )dt

by using the integration formula

we get,

\\I=5\left ( \frac{t^{4}}{4} +logt -t^{2}\right )\\\\I=\frac{5}{4}t^{4}+5\log t-5t^{2}+c

now put the value of t=\sin\theta in the above equation

we get,

\int 5\cot^5\theta \sin^4\theta d\theta=\frac{5}{4}sin^{4}\theta+5\log \sin\theta - 5sin^{2} \theta+c

hence proved

7 0
3 years ago
Solve the absolute value inequality |x+9| > 3
Studentka2010 [4]

Answer:

x>−6,x<−12

Step-by-step explanation:

Break down the problem into these 2 equations.

x+9>3x+9>3

-(x+9)>3−(x+9)>3

Solve the 1st equation: x+9>3x+9>3.

x>-6x>−6

3 Solve the 2nd equation: -(x+9)>3−(x+9)>3.

x<-12x<−12

Collect all solutions.

x>-6,x<-12x>−6,x<−12

8 0
3 years ago
The perimeter of a field is 120 yards. what is the length and width?
ElenaW [278]
120/4=30. Remember its widthxlength. if you forget ask your teacher or look online for more help. Good luck.
7 0
3 years ago
I have 7 mins to turn in, what’s the answer?? thanks :)
Ostrovityanka [42]

Answer:

A) x = 10-/3, y = 20

Step-by-step explanation:

8 0
3 years ago
find the value of x. Round to the nearest degree
Aleksandr-060686 [28]

Answer:

51 degress

Step-by-step explanation:

sin x = 7/9

x = sin^-1 (7/9)

simply using a calculator.

3 0
3 years ago
Read 2 more answers
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