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USPshnik [31]
2 years ago
12

The areas of the squares adjacent to two sides of a right triangle are 32 units^2 2 squared and 32 units^2 Find the length, xxx,

of the third side of the triangle.
Mathematics
1 answer:
NikAS [45]2 years ago
6 0

Answer:

8 units

Step-by-step explanation:

If the area of the squares are 32 units^2, we have that:

Area = Side * Side

Side^2 = 32

Side = sqrt(32) = 5.657 units

So as the squares are adjacent to two sides of the triangle, we have that the triangle has two sides of 5.657 units

As it is a right triangle, we can use the Pythagoras' theorem:

c^2 = a^2 + b^2

c^2 = 5.657^2 + 5.657^2

c^2 = 64

c = 8 units

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Setler [38]
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I hope you got the hang of it. so do the last two yourself.
6 0
3 years ago
A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 7 vinegar, and the second brand con
SOVA2 [1]

Answer:

78 ml of 7% vinegar and 312 ml of 12% vinegar.

Step-by-step explanation:

Let x represent ml of 7% vinegar brand and y represent ml of 12% vinegar brand.    

We have been given that chef wants to make 390 milliliters of the dressing. We can represent this information in an equation as:

x+y=390...(1)

y=390-x...(1)

We are also told that 1st brand 7% vinegar, so amount of vinegar in x ml would be 0.07x.

The second brand contains 12 vinegar, so amount of vinegar in y ml would be 0.12y.

We are also told that the chef wants to make 390 milliliters of a dressing that is 11% vinegar. We can represent this information in an equation as:

0.07x+0.12y=390(0.11)...(2)

Upon substituting equation (1) in equation (2), we will get:

0.07x+0.12(390-x)=390(0.11)

0.07x+46.8-0.12x=42.9

-0.05x+46.8=42.9

-0.05x+46.8-46.8=42.9-46.8

-0.05x=-3.9

\frac{-0.05x}{-0.05}=\frac{-3.9}{-0.05}

x=78

Therefore, the chef should use 78 ml of the brand that contains 7% vinegar.

Upon substituting x=78 in equation (1), we will get:

y=390-78

y=312

Therefore, the chef should use 312 ml of the brand that contains 12% vinegar.

4 0
3 years ago
Wendy bought 7 bags. each bag costs the same amount. she paid the cashier 100$ and reduced g dollars in change. a. what read the
erma4kov [3.2K]
You would divide 100$ by 7 and get your answer remember to round your decimals. 
3 0
3 years ago
What is the equation of the line that passes through the point (2, -4) and has a<br> slope of 2
oee [108]

Answer:

y = 2x - 8    OR     4 - 2x = -4 - y

Step-by-step explanation:

Use the point-slope form m(x₁-x₂) = (y₁-y₂); m means slope

plug in your numbers:

2(2-x₂) = (-4-y₂)

4 - 2x = -4 - y

or to put it into Y=mx + b:

y = 2x + 8

6 0
3 years ago
Which equation represents the line shown on the ​
musickatia [10]

Answer:

A

Step-by-step explanation:

y-int = -2

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Rise over run is 2/5 so go up 2, over 5 and put your dot etc...

7 0
3 years ago
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