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Aleks04 [339]
3 years ago
10

A triangle has sides of lengths 10, 24, and 26. Is it a right triangle? Explain.

Mathematics
1 answer:
Komok [63]3 years ago
4 0
The most efficient way of finding the answer to this question is first reducing 10-24-26 and comparing it with the first 5 combinations for right-angled triangles:

First, reduce 10-24-26 by dividing it by the GCF (greatest common factor). 

10-24-26 divided by its GCF, 2, is:  5-12-13

Now comparing it with the first 5 combinations for right-angled triangles:

1)   3-4-5
2)  5-12-13
3)  7-24-25
4)  8-15-17
5)  20-21-29

As you can see, number 2 is the same as our reduced example. Therefore, we know that 10-24-26 is a right triangle. 

Hope this helps!

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Answer:

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3 years ago
Pollution Rates Assignment
stepan [7]

Answer:

1. a) 4.8 lb

I) 8%

II) 0.384 lb

2. a) 12.5 lb

I) 8%

II) 1 lb

Step-by-step explanation:

Let's begin by listing out the given variables:

mass of pesticide (m) = 12 lb,

40WP (40 weight percent) means the active ingredient comprises 40% of the total mass of the pesticide

a) amount of active ingredient = mass of the pesticide * weight percentage of the active ingredient

x = 12 * 40% = 12 * 0.4

x = 4.8 lb

I. If the soil has an absorption rate of 92%, that means 8% will go into the run-off

The percentage of active ingredient that will end up in the run-off = the percentage of the active ingredient (100%) - the absorption rate

y = (100 - 92)%

y = 8%

II. amount of of active ingredient that will end up in the run-off = amount of active ingredient * the percentage of active ingredient that will end up in the run-off

z = x * y = 4.8 * 8% = 4.8 * 0.08

z = 0.384 lb

2. Let's list out the variables given, we have:

mass of pesticide = 25 lb, weight percent of active ingredient = 50% = 0.5

amount of active ingredient = mass of the pesticide * weight percentage of the active ingredient

x = 25 * 0.5

x = 12.5 lb

I. If the soil has an absorption rate of 92%, that means 8% will go into the run-off

The percentage of active ingredient that will end up in the run-off = the percentage of the active ingredient (100%) - the absorption rate

y = (100 - 92)%

y = 8%

II. amount of of active ingredient that will end up in the run-off = amount of active ingredient * the percentage of active ingredient that will end up in the run-off

z = x * y = 12.5 * 8% = 12.5 * 0.08

z = 1 lb

7 0
3 years ago
Which of the following values are zeroes of x(x+5)(x−3)? Select three that apply.
max2010maxim [7]
A,C, and E are all correct answers
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3 years ago
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What is the surface area of the right prism?
madreJ [45]

Answer:

The surface area of right prism is 12 feet²  , option D

Step-by-step explanation:

Given as :

The measure of base = 4 ft

The height of base = 0.5 ft

The surface area of right prism = perimeter of base × height + 2 × base

Now ,

Perimeter of base = 4 + 4 = 8 ft

So, The surface area of right prism = 8 × 0.5 + 2 × 4

Or, The surface area of right prism = 4 + 8

∴ , The surface area of right prism = 12 feet²

Hence The surface area of right prism is 12 feet²  . Answer

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