Answer:
the length of the ramp is 25 meters
Step-by-step explanation:
Joe is making a ramp. Ramp forms a right angle triangle with the base
So we use Pythagorean theorem to find the length of the ramp
AC^2(hypotenuse) = AB^2 + BC^2
Length of ramp is the hypotenuse = 
=
= 
= 
= 25
so the length of the ramp is 25 meters
A percent is a number out of 100, so you'd want to multiply the denominator to get 100. In this case, 25 would have to be multiplied by 4 to get 100. To keep the fractions equal to each other, you have to multiply the numerator by the same thing. 2*4=8. Therefore, your fraction would be 8/100 or 8%
TQRS is an inscribed quadrilateral.
5 x - 52° + 3 x + 40° = 180°
8 x - 12° = 180°
8 x = 180° + 12°
8 x = 192°
x = 192° : 8 = 24°
m∠ R = 3 · 24° + 40° = 112°
m∠ T = 5 · 24° - 52° = 68°
m∠ S = 360° - ( 68° + 68° + 112° ) = 112°
Answer:
m∠R, m∠S, m∠T = 112°, 112°, 68°.
Answer:
The smallest solution is -6
Step-by-step explanation:
2/3 x^2 = 24
Multiply each side by 3/2
3/2 *2/3 x^2 = 24*3/2
x^2 = 36
Take the square root of each side
sqrt(x^2) = sqrt(36)
x = ±6
The smallest solution is -6
The largest solution is 6
