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:
1
Step-by-step explanation:
anything with a power of 0 is 1
Answer:
27 quarters and 37 nickels
Step-by-step explanation:
Nickels are 5¢
Quarters are 25¢
$8.60 is 172 nickels (860/5)
$8.60 is 34.4 quarters (860/25)
So then let's split it half-and-half.
425 and 435
425 would become 17 quarters.
435 would become 87 nickels.
This is still too much.
Now let's try 700 and 160.
700 would become 28 quarters
160 would become 32 nickels.
28+32=60.
This is a lot closer.
So now 27 quarters and 37 nickels. This works.
Answer:
x=1
y=1
Step-by-step explanation:
-3x+4=3x-2
-3x+3x+4=3x+3x-2
4=6x-2
4+2=6x-2+2
6=6x
x=1
y=3(1)-2
y=1
