<span>The diagonals of a rectangle have equal lengths. Since AC has a length of 28,
and AC is a diagonal, the other diagonal BD also has a length of 28.
The diagonals of a rectangle also bisect each other. So diagonal BD is
bisected by the other diagonal AC at point E. And since diagonal BD has
a length of 28 then BE and ED both have a length which is of 28,
or 14 each.
Answer: ED has a length of 14.</span>
This Question is actually for 44 points not 80 :(
We are tasked to solved for the length of the ramp having an inclination of 15 degrees with the ground and 10 feet from the end of the ramp to the base of the building of the ground. Using trigonometric properties, we have a formula given an angle and the its opposite sides which is,
sin(Angle)=opposite/hypothenuse
hypothenuse would be the distance or the length of the ramp.
so we have,
sin(15)=10/hypothenuse
Cross-multiply, we have,
hypothenuse=10/sin(15)
using scientific calculator having a DEG mode,
hypothenuse=38.63703
Rounding of in nearest tenth we get,
hypothenuse=38.6 ft
Therefore, the ramp is 38.6 ft long
Answer:
I did the math and got an answer of 17.5
Step-by-step explanation:
I divided 70 by 4 and got a result of 17.5. This probably means Caleb started his collection about 17 and 1/2 months ago. (I apologize if it's wrong)
Answer:
x - y = 118
Step-by-step explanation:
Since ∠ NOP and ∠ NOQ are complimentary then ∠ POQ = 90°
Since JOK is a straight line then
∠ JOP + ∠ POQ + ∠ QOK = 180 , that is
76 + 90 + y = 180
166 + y = 180 ( subtract 166 from both sides )
y = 14
Since MON is a straight line then
∠ MOK + ∠ KOQ + ∠ QON = 180, that is
x + 14 + 34 = 180
x + 48 = 180 ( subtract 48 from both sides )
x = 132
Thus
x - y = 132 - 14 = 118
