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3 years ago

If x is 32 mm what’s the area of the triangle

Mathematics

1 answer:

Ksju [112]3 years ago

6 0

Answer:

4608*sqrt(3)

Step-by-step explanation:

x + 2x = 3x, so 3x is the height of the triangle. This is a 90-60-30 triangle so the base would be 3x*sqrt(3). To find the area, we can multiply the base with the height and divide by two, so it would be (3x)(3x*sqrt(3))/2 or (9/2)x^2 * sqrt(3). x = 32, and plugging this into the equation gets us to (9/2)32^2 * sqrt(3), which is 4608*sqrt(3).

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The graph shows the amount of money Tanya earns from tutoring compared with the number of hours she works. Select the correct st

salantis [7]

Answer:

Step-by-step explanation:

The graph (although it doesn't show it) is making points at every 20 (dollars) mark and also lines up to each hour mark, meaning that for every hour, Tanya makes 20 dollars.

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3 years ago

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Find limit as x approaches 2 from the left of the quotient of the absolute value of the quantity x minus 2, and the quantity x m

Molodets [167]

Answer:

$\lim_{x \to 2^-} \frac{|x-2|}{x-2}=-1$ .

Step-by-step explanation:

We want to find $\lim_{x \to 2^-} \frac{|x-2|}{x-2}$ .

By definition:

$|x-2|=\left \{ {{x-2,\:if\:x\:>\:2} \atop {-(x-2),\:if\:x\:$

Since we want to find the Left Hand Limit, we use f(x)=-(x-2)

$\implies \lim_{x \to 2^-} \frac{|x-2|}{x-2}=\lim_{x \to 2} \frac{-(x-2)}{x-2}$ .

$\implies \lim_{x \to 2^-} \frac{|x-2|}{x-2}=\lim_{x \to 2} (-1)$ .

The limit of a constant is the constant.

$\implies \lim_{x \to 2^-} \frac{|x-2|}{x-2}=-1$ .

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3 years ago

Write out the form of the partial fraction decomposition of the function (as in this example). do not determine the numerical va

neonofarm [45]

$\frac{x^{4}-2x^{3}+x^{2}+7x-5}{x^{2}-2x+1} = x^{2}+\frac{a}{x-1}+\frac{b}{(x-1)^{2}}$
It looks like your first selection (a) is appropriate.

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3 years ago

Y’all i’m stuck help me

Tamiku [17]

<h3>Answer: Choice E</h3>

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

Explanation:

Think of 25 as 25/1 and 5 as 5/1

Choice E is really saying $\frac{25}{1} \div \frac{5}{1}$ which becomes $\frac{25}{1} \times \frac{1}{5}$ . Note the second fraction flips and we change to a multiplication sign.

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Or you could think of it like this:

$25 \times \frac{1}{5} = \frac{25}{1} \times \frac{1}{5} = \frac{25*1}{1*5} = \frac{25}{5} = 25 \div 5$

to help see why the answer is E.

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3 years ago

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Find the area of the regular 20-gon with radius 77 mm.

butalik [34]

The area of a polygon equals
area = circumradius² * number of sides * sin (360 / # of sides) / 2
area = 77² * 20 * sin (360 / 20) / 2
area = 77² * 20 * sin (18) / 2
area = 118,580 * 0.30902 / 2
area = <span> <span> <span> 36,643.59 </span> </span> </span> / 2
area = 18,321.8 square millimeters

3 0

3 years ago