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Natasha2012 [34]
3 years ago
15

Fond the value of x.

Mathematics
2 answers:
GalinKa [24]3 years ago
5 0

Answer:

75

Step-by-step explanation:

The sum of internal angles in a triangle is equal to 180

58 + 47 + x = 180

105 + x = 180 subtract 105 from both sides

x = 75

castortr0y [4]3 years ago
3 0

This is an acute triangle so each angle has to be less than 90 degrees in total we already have 105 and then lastly you can find out the last angle is kind of the same angle of angle 58 so its closer to 58 than 47 this is just a clue to the answer because I cant measure the angle from over the screen.

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The revenue of the company is given by the equation R = x (1000 – 4x), where R is the revenue of the company in dollars when thy
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Answer:

100 or 150 units of the product.

Step-by-step explanation:

R = x(1000-4x)

What is the value of x if R = 60,000?

x(1000-4x) = 60000

-4x^2 + 1000x = 60000

x^2 - 250x = -15000

x^2 - 250x + 15000 = 0

Factorize:

(x-100)(x-150) = 0

x-100 = 0 V x-150 = 0

x = 100 V x = 150

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3 years ago
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3 years ago
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If you have a square that has sides measuring 5 inches what is the measure of its diagonal​
Oxana [17]

Answer:

5√2 Inches

Step-by-step explanation:

By definition of a square, all it's sides are the same measurement (typically signified by the variable <em>s</em> on all sides).

In a triangle (as with a intersection from one corner to the other (diagonal), It would create a right triangle. Remember, the two leg sides are the same measurement (typically placed as 1). There is one triangle side measurement rule:

1 , 1 , √2

Plug in the corresponding numbers to the corresponding units. the 5 inches is a side (not the hypotenuse), so it belongs in the 1:

1 x 5 = 5

1 x 5 = 5

√2 x 5 = 5√2

The measurement of it's diagonal (hypotenuse) is 5√2.

~

6 0
3 years ago
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3 years ago
Does this diverge or converge?
olga2289 [7]

Answer:

L = 7/6 , and the correct option is B, the series diverges.

Step-by-step explanation:

Here we have that:

an = \frac{(3n + 3)*7^n}{6^{n+4}}

Now we want to see the quotient test, then we need to do find the value of the quotient as n tends to infinity. Then we first need to find the quotient:

a(n + 1)/a(n) = \frac{(3(n + 1) + 3)*7^{n + 1}}{6^{n + 1 + 4}}*\frac{6^{n + 4}}{(3*(n) + 3)*7^{n}}

We can simplify the right part to get:

\frac{(3(n + 1) + 3)*7^{n + 1}}{6^{n + 1 + 4}}*\frac{6^{n + 4}}{(3*(n) + 3)*7^{n}}=  \frac{(3n + 3 + 3)*7^{n + 1}}{6^{n + 5}}*\frac{6^{n + 4}}{(3*n + 3)*7^{n}}

\frac{(3n + 3 + 3)*7^{n + 1}}{6^{n + 5}}*\frac{6^{n + 4}}{(3*n + 3)*7^{n}}= \frac{(3n + 3 + 3)*7}{(3*n + 3)*6}

Now we want to find the limit of this as n goes to infinity, we can see that both parts will tend to infinity, then we need to use the Lhopital rule and find the limit of the quotient of the first derivatives.

The first derivatives are:

For the denominator: (3*6)

For the numerator: (3*7)

Then we need to find the limit as n goes to infinity to:

\frac{3*7}{3*6} = \frac{7}{6}

But this does not depend on the value of n, then the limit is just 6/7.

L = 7/6

And 7/6 > 1.

Then we can conclude that our series diverges.

3 0
3 years ago
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