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Daniel [21]
3 years ago
11

The hypotenuse of a right triangle measures 20cm. The sum of the lengths of the other two sides is 28cm. Find the lengths of tho

se two sides.
Mathematics
1 answer:
scoray [572]3 years ago
3 0

Step-by-step explanation:

<h3>Here, </h3><h3>h = 20cm</h3><h3 /><h3>By question, </h3><h3>p + b = 28cm</h3><h3>or, p = 28 - b</h3><h3 /><h3>Using pythagoras theorem, </h3>

<h3>h^2 =p^2 + b^2</h3><h3>20^2 = (28-b) ^2 + b^2</h3><h3>400 = 28^2 -2x28xb + b^2 + b^2</h3><h3>56b = 784 - 400 + 2 b^2</h3><h3>0 = 2b^2 - 56b + 384 </h3><h3>0 = 2 ( b^2 - 28b + 192)</h3><h3>0 = b^2 - (16 + 12) b + 192</h3><h3>0 = b^2 - 16b - 12b + 192</h3><h3>0 = b (b - 16) - 12 (b - 16)</h3><h3>0 = (b - 16) (b - 12)</h3><h3>Either, </h3><h3>b= 16</h3><h3>Or,</h3><h3>b = 12</h3>

<h3>When b = 16,</h3><h3>p = 28 - 16 </h3><h3> = 12</h3><h3>When b = 12,</h3><h3>p = 28 - 12</h3><h3> = 16</h3>
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riadik2000 [5.3K]

Answer:

A = 60.07°

Step-by-step explanation:

Sin A = \frac{opposite}{hypotenuse}

Sin A = \frac{13}{15\\}

Sin A = 0.867

A = Sin⁻¹ 0.867

A = 60.07°

6 0
3 years ago
It took 2/3 of an hour to complete her science homework. It took Bethany 3/4 of the amount of time to do her math homework as he
SOVA2 [1]
We know there are 60 minutes in an hour.  To find 2/3 of an hour we divide 60/3 to find 1/3 and multiply by 2 so:
60/3 = 20
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We do the same thing with the 40 minutes.  To find 1/4 of 40 minutes we divide 40 by 4 and then multiply it by 3 to get 3/4 so:

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Then subtract the times 40-30 = 10 minutes

It took her 10 more minutes to complete her science homework.

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3 0
3 years ago
What is 0.7, 0.755, 5/8 from least to greatest?
Margarita [4]
I like to start by turning all my numbers into the same form.  You can go either way but I am going to turn the decimals into fractions.  so 0.7 is the same as 7/10.

0.755 is like 755/1000 which can be reduced to 151/200  (if you don't understand the convertions let me know i will explaine more.)

Next give all the fractions a common denominator. both 8 and 10 go into 200 so we can use that.  151/200 already has a denominator of 200 so that one is set.
for 7/10  well, 10 time 20 is 200 so multiply both the numerator and the denominator by 20 so you get 140/200
the last one is 5/8  8 times 25 is 200 so multiply both numbers by 25 to get 125/200  

the fractionos we have are 125/200  151/200 and 140/200.  Now because they all have the same denominator the one with the lowest numerator is the least number and the one with the highest number is the greatest number.

125/200  140/200  151/200  now just replace the original number with the order they are placed in.
125/200 was 5/8
140/200 was 0.7 
151/200 was 0.755
so the final answer is 
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6 0
3 years ago
What percent is the change in the price if the price was $100 and now it is $1250?
Vsevolod [243]

Answer:

  1150%

Step-by-step explanation:

The percentage change is ...

  percentage change = (amount of change)/(original amount) × 100%

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  = 1150/100 × 100%

  = 1150%

6 0
3 years ago
Read 2 more answers
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Answer:

4:1 or 4/1

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New surface area: Each side is 2*2 = 4, and there are 6 sides, so 4 * 6 = 24

The ratio would be 24:6, or 4:1. As a fraction, this would be 4/1

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3 years ago
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