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NISA [10]
3 years ago
10

What is the value of x in the figure below

Mathematics
1 answer:
Otrada [13]3 years ago
3 0

Answer:

It is 118°

Step-by-step explanation:

because these are corresponding angles.

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Consider the curve defined by the equation y=6x2+14x. Set up an integral that represents the length of curve from the point (−2,
torisob [31]

Answer:

32.66 units

Step-by-step explanation:

We are given that

y=6x^2+14x

Point A=(-2,-4) and point B=(1,20)

Differentiate w.r. t x

\frac{dy}{dx}=12x+14

We know that length of curve

s=\int_{a}^{b}\sqrt{1+(\frac{dy}{dx})^2}dx

We have a=-2 and b=1

Using the formula

Length of curve=s=\int_{-2}^{1}\sqrt{1+(12x+14)^2}dx

Using substitution method

Substitute t=12x+14

Differentiate w.r t. x

dt=12dx

dx=\frac{1}{12}dt

Length of curve=s=\frac{1}{12}\int_{-2}^{1}\sqrt{1+t^2}dt

We know that

\sqrt{x^2+a^2}dx=\frac{x\sqrt {x^2+a^2}}{2}+\frac{1}{2}\ln(x+\sqrt {x^2+a^2})+C

By using the formula

Length of curve=s=\frac{1}{12}[\frac{t}{2}\sqrt{1+t^2}+\frac{1}{2}ln(t+\sqrt{1+t^2})]^{1}_{-2}

Length of curve=s=\frac{1}{12}[\frac{12x+14}{2}\sqrt{1+(12x+14)^2}+\frac{1}{2}ln(12x+14+\sqrt{1+(12x+14)^2})]^{1}_{-2}

Length of curve=s=\frac{1}{12}(\frac{(12+14)\sqrt{1+(26)^2}}{2}+\frac{1}{2}ln(26+\sqrt{1+(26)^2})-\frac{12(-2)+14}{2}\sqrt{1+(-10)^2}-\frac{1}{2}ln(-10+\sqrt{1+(-10)^2})

Length of curve=s=\frac{1}{12}(13\sqrt{677}+\frac{1}{2}ln(26+\sqrt{677})+5\sqrt{101}-\frac{1}{2}ln(-10+\sqrt{101})

Length of curve=s=32.66

5 0
2 years ago
The distance between Dania and Hollywood is shown on the map. What is the actual distance between Dania and Hollywood?
pishuonlain [190]

Answer:

15 miles

Step-by-step explanation:

If there are 2.5 inches and 1 inch is 6 miles, then just multiply 6 by 2.5 to get 15

6*2.5=15

8 0
2 years ago
ASAP Please answer. Three students sit in the first row. In the second row, 3 students sit behind each of those students, and so
murzikaleks [220]

Answer:

3^2, 9 students.

Step-by-step explanation:

I'm not 100 percent sure about this but I'm pretty sure that because there are 3 rows you can just do 3^2 which is 9.

3 0
3 years ago
Read 2 more answers
Scrieți multipli lui 7 mai mari decât 10 și mai mici decât 20​
beks73 [17]
<h2>Helloooo!!! Marie Here!!!</h2><h2 />

The answer is here:

  • 7 . 2 = 14, 10 >14 > 50

  • 7 . 3 = 21, 10 > 21 > 50

  • 7 . 4 = 28, 10 > 28 > 50

  • 7 . 5 = 35, 10 > 35 > 50

  • 7 . 6 = 42, 10 > 42 > 50

<h3>Hope This Helps! Have A GREAT Day!</h3>

3 0
3 years ago
A sequence is defined by the recursive function f(n + 1) = f(n). If f(3) = 9 , what is f(1) ? A) 1
Veseljchak [2.6K]

Answer: The answer is 9.

Step-by-step explanation:

Since f(n+1) = f(n)

If n= 1

f(2) = f(1)

if n= 2

f(3) = f(2) = 9 {since f(3) is 9}

Since f(2) is now 9 and f(2) = f(1), therefore f(1) will also be 9.

No answer!

4 0
3 years ago
Read 2 more answers
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