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3 years ago

PLS HELP ME & EXPLAIN ANSWER <3

Mathematics

1 answer:

defon3 years ago

5 0

Answer:

e. 10√30

Step-by-step explanation:

In this right triangle geometry, all of the right triangles are similar. This means that the ratio of long side to hypotenuse is the same for all triangles:

x/(10+50) = 50/x

Multiplying by 60x, we have ...

x^2 = 3000

x = 10√30 . . . . . take the square root. Matches choice E.

_____

<em>Comment on estimating</em>

You're looking for x. Examining the figure, you see that x is the long side of the triangle with hypotenuse 10+50=60, so it will be shorter than that value. x is also the hypotenuse of the triangle with long side 50. So, x will be longer than 50.

The only answer choice with a value between 50 and 60 is choice E.

You don't even need to know how to find x. You only need to know that the hypotenuse is the longest side in a right triangle.

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A plane traveled 360 miles each way to Athens and back. The trip there was with the wind. It took 3 hours. The trip back was int

defon

Answer:

S=32.5

W=97.5

Step-by-step explanation:

S=speed of plane in still air

W=speed of wind

-----------------------------------------

3(S+W)=130

6(S-W)=130

-----------------------------------------

S+W=43.33333...

S-W=21.66666...

2S=64.999...

S=32.5(simplified)

-----------------------------------------

32.5+W=130

W=97.5

-----------------------------------------

5 0

4 years ago

Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y) → (0, 0) x4 − 34y2 x2 + 17y2

HACTEHA [7]

Answer:

Step-by-step explanation:

Given the limit of the function $\lim_{(x,y) \to (0,0)} \frac{x^4-34y^2}{x^2+17y^2}$ , to find the limit, the following steps must be taken.

Step 1: Substitute the limit at x = 0 and y = 0 into the function

$= \lim_{(x,y) \to (0,0)} \frac{x^4-34y^2}{x^2+17y^2}\\= \frac{0^4-34(0)^2}{0^2+17(0)^2}\\= \frac{0}{0} (indeterminate)$

Step 2: Substitute y = mx int o the function and simplify

$= \lim_{(x,mx) \to (0,0)} \frac{x^4-34(mx)^2}{x^2+17(mx)^2}\\\\= \lim_{(x,mx) \to (0,0)} \frac{x^4-34m^2x^2}{x^2+17m^2x^2}\\\\\\= \lim_{(x,mx) \to (0,0)} \frac{x^2(x^2-34m^2)}{x^2(1+17m^2)}\\\\\\= \lim_{(x,mx) \to (0,0)} \frac{x^2-34m^2}{1+17m^2}\\$

$= \frac{0^2-34m^2}{1+17m^2}\\\\= \frac{34m^2}{1+17m^2}\\\\$

<em>Since there are still variable 'm' in the resulting function, this shows that the limit of the function does not exist, Hence, the function DNE</em>

4 0

4 years ago

I really need the answers to these questions

almond37 [142]

Alrighty, so:
Question 9.) We know that each box has a total of three toys, therefore whatever answer we choose must be a multiple of 3. Answer E.) 12 is the only multiple of 3.
Question 10.) The numbers are going up by 13. 63 is what I got as the answer.
Question 11.) A
Question 12.) A

Hope this helps! Been a while since I've done math like this.

6 0

3 years ago

What is the symbolic representation for this argument?

Alex

The symbolic representation for this argument is that Jeri drew a polygon with exactly three sides.

<h3>What is a polygon?</h3>

A polygon is a plane figure with at least three straight sides and angles, typically five or more.

In this case, the symbolic representation for this argument is that Jeri drew a polygon with exactly three sides.

Learn more about polygon on:

brainly.com/question/1592456

#SPJ1

3 0