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eimsori [14]
2 years ago
5

In \triangle VWX,△VWX, \overline{XV}\cong \overline{WX}

Mathematics
1 answer:
Nadya [2.5K]2 years ago
5 0

Answer:

m<X = 27 degrees

Step-by-step explanation:

From △VWX, since WX = XV, this mean that the triangle is isosceles

The base angle of an isosceles triangle are equal hence <W = <X

Since <W = 27 degrees, hence m<X = 27 degrees

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svetlana [45]
Well just multiply 891 with 1.6
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3 0
3 years ago
Find the indefinite integral using the substitution provided.
Nady [450]

Answer:  7\text{Ln}\left(e^{2x}+10\right)+C

This is the same as writing 7*Ln( e^(2x) + 10) + C

=======================================================

Explanation:

Start with the equation u = e^{2x}+10

Apply the derivative and multiply both sides by 7 like so

u = e^{2x}+10\\\\\frac{du}{dx} = 2e^{2x}\\\\7\frac{du}{dx} = 7*2e^{2x}\\\\7\frac{du}{dx} = 14e^{2x}\\\\7du = 14e^{2x}dx\\\\

The "multiply both sides by 7" operation was done to turn the 2e^(2x) into 14e^(2x)

This way we can do the following substitutions:

\displaystyle \int \frac{14e^{2x}}{e^{2x}+10}dx\\\\\\\displaystyle \int \frac{1}{e^{2x}+10}14e^{2x}dx\\\\\\\displaystyle \int \frac{1}{u}7du\\\\\\\displaystyle 7\int \frac{1}{u}du\\\\\\

Integrating leads to

\displaystyle 7\int \frac{1}{u}du\\\\\\7\text{Ln}\left(u\right)+C\\\\\\7\text{Ln}\left(e^{2x}+10\right)+C\\\\\\

Be sure to replace 'u' with e^(2x)+10 since it's likely your teacher wants a function in terms of x. Also, do not forget to have the plus C at the end. This is a common mistake many students forget to do.

To verify the answer, you can apply the derivative to it and you should get back to the original integrand of \frac{14e^{2x}}{e^{2x}+10}

4 0
2 years ago
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dangina [55]
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4 0
3 years ago
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The radius of a pulley is 160 mm. Find the circumference of the pulley
Vera_Pavlovna [14]

Answer:

1130.4 mm

Step-by-step explanation:

Given,

Radius ( r ) = 180 mm

To find : Circumference of the pulley ( C ) = ?

Formula : -

C = 2πr

Note : -

Value of π is 3.14

C = 2 x 3.14 x 180

C = 1130.4 mm

5 0
2 years ago
Log4(3^-5)=x<br> solve for x
andrew-mc [135]

Answer:

.0024776131

Step-by-step explanation:

type it into a TI-84 and remember than any negative exponent turns the number into a fraction

3 0
3 years ago
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