9514 1404 393
Answer:
3) D
4) D
5) B
6) B
Step-by-step explanation:
3) A "Pythagorean triple" is a set of 3 integers that could be the sides of a right triangle. The only triangle shown with integer side lengths is choice D.
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5) The only triangle for which the square of the hypotenuse is the sum of the squares of the other two sides is choice D.
11² +2² = (5√5)²
121 + 4 = 125
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6) The lengths of sides of each right triangle are 2/3 of those of choice D in problem 4. That is, they are a 7-24-25 triangle, multiplied by 2. That means the height is 24·2 = 48, and the area is ...
A = 1/2bh
A = 1/2(28 m)(48 m) = 672 m² . . . . matches choice B
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7) The side lengths of a 30-60-90 triangle have the ratios 1 : √3 : 2. That is, the short leg is half the hypotenuse, a fact stated in A and D. Those true statements make it clear that statement B is false.
Answer: 12.32 is the answer.
Step-by-step explanation: Using the pythagorean thereom we can solve this by using the formula A^2+B^2=C^2.
We substitute in the values,
17^2+B^2=21^2.
Now we simplify.
289+B^2=441
We subtract the 289 from both sides,
B^2=152
Now we use square root to find the answer.
12.32 is the answer.
Hope this helps!
Answer:
12 3/8
Step-by-step explanation:
16 -3 5/8 =12 3/8
to check:
12+3=15,
3/8+5/8= 8/8 which =1
so, 15+1=16
The answer to this equation would be 102.50 . Hope this helps!
Answer:
All real numbers
Step-by-step explanation:
The domain represents the x-coordinates, so you can see on the graph that it goes all the way out to both the left and right directions, meaning it covers all the negative numbers, and all the positive numbers. The question is trying to trick you into thinking about the range, but forget about the y-axis for this one.