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.
Why did both of their names have to start with the same letter
x=jay hours
y=jamie huours
x=10+3y
x=43
so
43=10+3y
minus 10
33=3y
divide 3
11=y
jamies spent 11 hours
Length and width of rectangle is 15 inches and 6 inches respectively
<h3><u>
Solution:</u></h3>
Given that area of a rectangle is 90 square inch
Ratio of length to the width = 5: 2.
Need to determine length and width of rectangle.
As ratio of length to the width is 5 : 2
Lets assume length of rectangle = 5x inches and width of rectangle = 2x inches.
<em><u>The formula for area of rectangle is given as:</u></em>
Substituting the given value of area of rectangle and assumed value of length and width of rectangle we get:
On solving the above expression for x we get
Hence length and width of rectangle is 15 inches and 6 inches.
B and c, anything with an x^2 term is a quadratic.
Answer:
I will assume that the end of the top section if it were cut at 0 degrees would be cut at right angles to the length of the section.
Joining a top section with a 37 degree end angle to a side piece with a 50 degree end angle will result in the length of the side piece being at an angle of
37 + 50 = 87 degrees to each other.
The same will be true for the other side.
If the sides were parallel, then going up one side, across the top and then down the other side will result in a change of direction of 180 degrees. However, in this frame the direction turns 87 degrees at the first top corner and another 87 degrees at the second top corner. This is a total of
87 + 87 = 174 degrees instead of 180 degrees.
The two sides diverge at an angle of
180 - 174 = 6 degrees from each other as they extend downwards from the top of the frame
Step-by-step explanation:
