76.88 I just typed it in on a calculator.
Answer:
A. 5 ft, 4 ft, 3 ft
Step-by-step explanation:
When you use the Pythagorean theorem with the numbers of the first choice, you find that these could be the sides of a right triangle:
3² + 4² = 9 + 16 = 25 = 5²
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You have found the correct answer at this point.
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If you want to check, you can examine the other choices:
C: 6² +10² = 136 ≠ 11²
B: 2² +4² = 20 ≠ 6²
D: 5² +10² = 125 ≠ 15²
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<em>Comment on 3-4-5 triangle</em>
As you can see from the above, side measures of 3, 4, and 5 will form a right triangle. This is the smallest set of integers that will do so. It is also the ratios of the only set of side lengths in arithmetic progression that will do so.
This latter fact can help you rule out choices B and D in this problem, because each of those has sides in the progression 1 : 2 : 3.
(3, 4, 5) triangles come up often in algebra and geometry problems. This is a useful "Pythagorean triple" to remember.
In this case, we'll have to carry out several steps to find the solution.
Step 01:
data:
7x
Step 02:
We must analyze the equation to find the solution.
x = 29:
7 (29) = 203
The answer is:
203
Answer:
The answer is b= - 5
Step-by-step explanation:
-96 = -6 ( 1 - 3b )
-6 ( 1 - 3b ) = -96
1 - 3b = 16
3b = 16 - 1 = 15
b= 15 : 3 = 5
Answer:
Step-by-step explanation:
There is only one figure in the attached image and the solution (surface area) is as follows:
The shape can be sub-divided into:
1. Rectangle
Dimension: 40 by 35
2. Rectangle
Dimension: 40 by 28
3. Rectangle
Dimension: 21 by 40
4. 2 triangles
Base: 21 and Height: 28
Calculate area of each and add them up to get the surface area of the figure.
1. Rectangle
Dimension: 40 by 35
2. Rectangle
Dimension: 40 by 28
3. Rectangle
Dimension: 21 by 40
4. 2 triangles
Base: 21 and Height: 28
So, the area is:
Factor out 40
