Use Structure If you know the diameter of a<br>circle, how can you find the area? © MP.7

The hypotenuse of a right triangle is √18 units. what are the lengths of the legs of the triangle? How many different answers ca

storchak [24]

Since a right triangle has special rules to it such that the hypotenuse squared equals the sum of the squares of the other 2 sides. In other words, if the hypotenuse = c, and the 2 smaller sides are a and b, then:
${c}^{2} = {a}^{2} + {b}^{2}$
Solving for c (hypotenuse), we get:
$\sqrt{({c}^{2})} = \sqrt{({a}^{2}+{b}^{2} )} \\ c = \sqrt{({a}^{2}+{b}^{2} )}$
Therefore c is the root of the square of the other sides. So by having root18, it's like saying:
$\sqrt{18} = \sqrt{({a}^{2} + {b}^{2} )} \\ 18 = {a}^{2} + {b}^{2}$
Getting rid of the square root, so sides a and b must have their squares total 18:
the only squares < 18 are: 16 (4×4), 9 (3×3), 4 (2×2), and 1 (1×1)
of those above added in any order of two of them, only 16+4
$18 = 17 + 1 - - > \sqrt{17} \: and \: 1 \\ 18 = 16 + 2 - - > \sqrt{16} \: and \: \sqrt{2} \\ ... \: 4 \: and \: \sqrt{2} \\ 18 = 15 + 3 - - > \sqrt{15} \: and \: \sqrt{3}$
$18 = 14 + 4 - - > \sqrt{14} \: and \: \sqrt{4} \\ ... \sqrt{14} \: and \: 2 \\ 18 = 13 + 5 - - > \sqrt{13} \: and \: \sqrt{5} \\ 18 = 12+ 6 - - > \sqrt{12} \: and \: \sqrt{6}$
$18 = 11 + 7 - - > \sqrt{11} \: and \: \sqrt{7} \\ 18 = 10 + 8 - - > \sqrt{10} \: and \: \sqrt{8} \\ ... \sqrt{10} \: and \: 2 \sqrt{2} \\ 18 = 9 + 9 - - > \sqrt{9} = 3 \: and \: 3$
I HOPE THAT IS ALONG THE LINE THAT WAS ASKED FOR!!! :-D

7 0

3 years ago

Give the inequality. PLEASE HELP ASAP, THANK YOU

Reil [10]

Answer:

$-3\le x\le 1$

or

$|x+1|\le2$

5 0

3 years ago

A tipping platform is a ramp used to unload trucks. How high is the end of an 100 foot ramp when it is tipped by a 30 degree ang

Naily [24]

According to the information given, the ramp would be 50 feet high. (However, that seems really high. Did you type your problem correctly?)

If you draw a picture, you will see that you can set up a cosine ratio to solve this problem. With a 30 degree angle of depression, the angle we are going to use 60 degrees.

We can set up the following equation:

cos(60) = x / 100
0.5 = x / 100
50 = x

6 0

3 years ago

A cleaner recommends mixing 1 1/2 cup of cleaner for every 12 cups of water. What is the ratio of cleaner to water in simplest f

Sergio039 [100]

1.5:12
3:24
1:8 is the simplest form.

3 0

3 years ago

Read 2 more answers

Mr. Wilson's desk drawer contains 4 black, 3 blue, and 3 red pens. If he selects one pen a random, what is the probability that

gtnhenbr [62]

<h3>Answer: 3/5</h3>

Work Shown:

3 blue + 3 red = 6 pens that are either blue or red

4 black + 3 blue + 3 red = 10 pens total

6/10 = 3/5 is the probability of selecting either blue or red

3/5 = 0.60 = 60%

3 0

3 years ago

Use Structure If you know the diameter of acircle, how can you find the area? © MP.7​

Use Structure If you know the diameter of acircle, how can you find the area? © MP.7