Using the side of the square find the area:
Area = 30^2 = 900 square feet.
The rectangles area is the same, 900 square feet.
Let the width = X
The length would be 2X + 70
Area = length x width
X * 2x+ 70 = 900
This expands to 2x^2 * 70x = 900
Use the quadratic formula to solve for x:
-70 +/- sqrt(70^2-4*2(-900))/2*2
X = 10
Width = x = 10 feet
Length = 2x + 70 = 90 feet
Answer:
Step-by-step explanation:
<u>We can't multiply.</u>
<u>We got to count up by 12's for each 1/2 hour.</u>
12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168.
<u>Simplified:</u>
- 24, 48, 72, 96, 120, 144, 168.
<u>Estimate:</u>
- 12 = 1/2 hour
- 24 = 1 hour
- 36 = 1 1/2 hours
- 48 = 2 hours
- 60 = 2 1/2 hours
- 72 = 3 hours
- 84 = 3 1/2 hours
- 96 = 4 hours
- 108 = 4 1/2 hours
- 120 = 5 hours.
- 132 = 5 1/2 hours
- 144 = 6 hours
- 156 = 6 1/2 hours
- 168 = 7 hours.
Answer is 168.
Answer:
Acute
Obtuse
Right
Acute
Step-by-step explanation:
To see if a triangle is acute, right, or obtuse, you use something similar to the pythagorean theorem:
Let a and b be the shorter sides, c be the longest side.
If a^2+b^2 > c^2, then the triangle is acute.
If a^2+b^2 = c^2, then the triangle is right.
If a^2+b^2 < c^2, then the triangle is obtuse.
Answer:
Step-by-step explanation: Since the given problem states that the two angles, angle 1 and angle 2 form a linear pair, this means that they form a 180° line, so that:
measure angle 1 + measure angle 2 = 180°
Since measure of angle 2 is six more than twice the measure of angle 1, therefore:
measure angle 2 = 2 (measure angle 1) + 6
hence, substituting this into the first equation:
measure angle 1 + 2 (measure angle 1) + 6 = 180
3 (measure angle 1) = 174
measure angle 1 = 58°
Therefore,
measure angle 2 = 2 (measure angle 1) + 6
measure angle 2 = 2 (58°) + 6
measure angle 2 = 122*
