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mojhsa [17]
2 years ago
10

Given right triangle JKM, which correctly describes the locations of the sides in relation to ∠J?

Mathematics
1 answer:
Leto [7]2 years ago
6 0

Answer:

a is the hypotenuse, b is adjacent, c is opposite

Step-by-step explanation:

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A snail can move 1/30 miles in 1/3 hour. How fast does a snail move in miles /hours
bekas [8.4K]

Answer:             1/10 miles/hour

To find how fast a snail moves in miles per hour, we can find the unit rate using a proportion.

<h2>Unit Rate</h2>

The unit rate is the amount per one unit. In this problem, the unit is for one hour. One way to find the unit rate is by using a proportion.

<h2>Proportions</h2>

Proportions look like two fractions set equal to each other with a missing variable to solve.

<h3>State our variables</h3>

let <em>x</em> be the number of miles per hour

<h3>Write a proportion</h3>

The first fraction has a number for the numerator (top) and denominator (bottom), because the question gives us the information. The second fraction has a missing value, <em>x</em>, that we are solving for. We can write <em>x</em> in the numerator.

\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{x\ mi}{1\ hr}}

<h2>Solve</h2>

We can solve by finding the scale factor. The scale factor is the number we can multiply the numerator by to find <em>x</em>.

<h3>Find the scale factor</h3>

Start with the proportion.

\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{x\ mi}{1\ hr}}

To find the scale factor,

  1. Take the denominator from the fraction with a variable: 1\ hr
  2. Take the denominator from the fraction that has no variable:  \frac{1}{3}\ hr
  3. Divide step 1 by step 2 and solve:  1\ hr\ \div\ \frac{1}{3}\ hr = 3

Our scale factor is <u>3</u>.

<h3>Solve for x</h3>

We can find <em>x</em> by multiplying the numerator in the first fraction by the scale factor. This is because <em>x</em> is also in the numerator.

\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{(\frac{1}{30}\ mi)*3}{1\ hr}}

\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{\frac{3}{30}\ mi}{1\ hr}}

Simplify 3/30 by dividing the fraction by 3.

\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{\frac{1}{10}\ mi}{1\ hr}}

x = 1/10

∴ a snail moves 1/10 miles per hour.

Learn another way to solve proportions here: brainly.com/question/18437927

7 0
1 year ago
The factorization below is missing two positive integers a and b. 6x^(3)+18x^(2)-240x=6x(x-a)(x+b) Factor the polynomial and the
Dvinal [7]

Answer:

a = 5

Step-by-step explanation:

Hello, please consider the following.

6x^3+18x^2-240x=6x(x^2+3x-40)\\\\\text{** The sum of the zeroes is -3=-8+5 and the product is -40=-8*5. **}\\\\\text{** So, we can factorise. **}\\\\6x^3+18x^2-240x=6x(x^2+3x-40)=6x(x^2+8x-5x-40)\\\\=6x(x(x+8)-5(x+8))\\\\\large \boxed{=6x(x+8)(x-5)}

So, a = 5.

Thank you.

7 0
3 years ago
What is 10(122(13(12)))
bearhunter [10]
<span>10<span>(<span><span>122<span>(13)</span></span><span>(12)</span></span>)</span></span><span>=<span><span>10<span>(122)</span></span><span>(156)</span></span></span><span>=<span><span>(10)</span><span>(19032)</span></span></span><span>=<span>190320
Hope  You understand
This is just basic multiplication.</span></span>
5 0
3 years ago
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Can someone help me with this one math problem ? picture is below
Scorpion4ik [409]
I am not sure on how to do this however here is a link with information thst will be able to help you around this subject.i hope this helps
https://www.bbc.com/bitesize/guides/z8k887h/revision/1
4 0
3 years ago
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Lucy drove 300 miles in 10 hours. On average, how fast did she drive in hours per
Simora [160]

Answer: 30 miles per hour

Step-by-step explanation:

Speed = distance / time

= 300 / 10

= 30 miles per hour

7 0
3 years ago
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