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3 years ago

A rectangle with length n and height m. A right triangle with hypotenuse n + 1, length n, and height m.

Mathematics

1 answer:

Oksana_A [137]3 years ago

8 0

9514 1404 393

Answer:

C. 12cm

Step-by-step explanation:

The equation for the perimeter of the rectangle is ...

P = 2(L+W)

34 = 2(n +m)

Solving for m, we get

m = 17 -n . . . . . . . divide by 2, subtract n

The Pythagorean theorem gives the relationship between the sides and the hypotenuse

m^2 +n^2 = (n+1)^2

(17 -n)^2 +n^2 = (n +1)^2 . . . . . . substitute for m

289 -34n +n^2 +n^2 = n^2 +2n +1 . . . . eliminate parentheses

n^2 -36n +288 = 0 . . . . . . . put in standard form

(n -12)(n -24) = 0 . . . . . . . . . factor

n = 12 . . . . . . . . . . n=24 is an extraneous solution here

The value of n is 12 cm.

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Calculate the capacity in liters of a tin 20m by 15m by 10m.

rusak2 [61]

20 * 15 * 10 *10^-6
= 0.003

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4 years ago

13. Suppose the probability of passing a driving test is 65%. (a) On a certain afternoon 15 people are tested. (i) What is the e

Alex_Xolod [135]

Answer: 9

Step-by-step explanation:

Based on the information given in the question, the expected number of people who pass will be calculated as:

= Probability of passing the driving test × Number of people tested

= 65% × 15

= 0.65 × 15

= 9.75

Therefore, expected number of people who pass is 9.

8 0

3 years ago

The sum of 1/6,2/3, and 1/4 is

Bumek [7]

¹³/₁₂

<h3>Further explanation</h3>

<u>Given:</u>

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = ? \ }$

A fraction represents part of a whole.
A fraction consists of a numerator and a denominator. i.e., $\boxed{ \ \frac{numerator}{denominator} \ }$ .
The numerator = the number of equal parts of a whole.
The denominator = the total number of parts that make up said whole.

From the problems above, the denominator or the bottom numbers are still different. We use the Least Common Multiple (or LCM) to equalize the denominator.

Multiples of 3: $\boxed{ \ \{3, 6, 9, 12, 15, ... \} \ }$
Multiples of 4: $\boxed{ \ \{4, 8, 12, 16, ... \} \ }$
Multiples of 6: $\boxed{ \ \{6, 12, 18, ... \} \ }$

Hence, the LCM for 3, 4, and 6 is 12.

We change the denominator for each fraction to 12.

$\boxed{ \ \frac{1}{6} \rightarrow \frac{multiply \ by \ 2}{multiply \ by \ 2} \rightarrow \frac{2}{12} \ }$

$\boxed{ \ \frac{2}{3} \rightarrow \frac{multiply \ by \ 4}{multiply \ by \ 4} \rightarrow \frac{8}{12} \ }$

$\boxed{ \ \frac{1}{4} \rightarrow \frac{multiply \ by \ 3}{multiply \ by \ 3} \rightarrow \frac{3}{12} \ }$

Then we continue adding fractions.

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \frac{2}{12} + \frac{8}{12} + \frac{3}{12} \ }$

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \boxed{ \ \frac{13}{12} \ } \ }$

Thus, the result is $\boxed{ \ \frac{13}{12} \ or \ 1\frac{1}{12}\ }$

<h3>Learn more</h3>

²/₇m - ¹/₇= ³/₁₄ solve step by step brainly.com/question/4853649
100 is 1/10 of what? brainly.com/question/96535
Mr. Frye distributed his money equally among his 4 children for their weekly allowance brainly.com/question/13174288#

Keywords: the sum of ¹/₆, ²/₃, and ¹/₄, fraction, adding, numerator, denominator, still different, LCM

6 0

3 years ago

Read 2 more answers

Explain WHAT WOULD HAPPEN TO motion IF friction DID NDT EXIST.

MA_775_DIABLO [31]

Answer:

If friction did not exist, it would be hard for us to slow down in running, or putting breaks on a car, and more!

If friction did not exist, your car will slide down the road even if you try your best to put the brakes on a car. Friction is a very important force to slow down things that are moving very fast

Step-by-step explanation:

Hoped this helped.

$GeniusUser$

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3 years ago

The table shows the attendance at the art show for the past week.

Vinvika [58]

Answer:

D. 50

Step-by-step explanation:

7*30 - (54+29+22+28+12+15)

=210 - 160

=50

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3 years ago

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