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LuckyWell [14K]
3 years ago
5

What are the values of a and b?

Mathematics
1 answer:
Lady_Fox [76]3 years ago
6 0

Answer:

a =17.08

b = 16.97

Step-by-step explanation:

What are the values of a and b?

Using pythagoras therem';

Hyp^2 = opp^2 + adj^2

Get the value of b;

18^2 = b^2 + 6^2

324 = b^2 + 36

b^2 = 324 - 36

b^2 = 288

b = √288

b = 16.97

Get the value of a;

b^2 + 2^2 = a^2

288 + 4 = a^2

292 = a^2

a^2  = 292

a = √292

a= 17.09

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Pentagon DEFGH is translated 4 units to the right to create pentagon UVXYZ. DE is 5cm long. What is the length of UV?
creativ13 [48]
If a shape is translated (has it's vertex' coordinates moved/changed), then it retains its original values but just has different vertex coordinates.

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5=5
5 0
3 years ago
What is 12 1/2% of 256
s344n2d4d5 [400]
To determine this, we need to set up fractional proportions.
First, put 12.5% (what we're looking for) over 100%, which is the total (256).
12.5/100 should be your first fraction.
Now, put x over 256, x being 12.5% of 256.
x/256 should be your second fraction.
Now put these two fractions as an equation.
x/256 = 12.5/100
This may be where things get tricky if you don't pay attention.
Cross multiply the top number (numerator) of x/256 with the bottom number (denominator) of 12.5/100.
You should end up with 100x.
Now, cross multiply the top number of 12.5/100 with the bottom number of x/256.
You should end up with 3200.
Now our equation is:
100x = 3200
Divide both sides by 100 to get x.
100x/100 = x
3200/100 = 32
x = 32 is now your simplified equation.
Your final answer is:
32 is 12.5% of 256.
Also, since 12.5% is 1/8 of 100%, we can test our answer.
Multiply 32 by 8 to get 8/8 (100%).
32 x 8 = 256.
Your answer is 32.
I hope this helps!

6 0
3 years ago
Previous
worty [1.4K]

No change in area

Step-by-step explanation:

The area is 60 square feet for both rectangles.

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Step-by-step explanation:

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