These are special triangles. The triangle with a hypotenuse of 11 is a 30-60-90 triangle, and the other triangle in the diagram is a 45-45-90 triangle. For such triangles, the following properties apply.
For 30-60-90 triangles:
If the short leg is x -
· the hypotenuse is 2x
· the long leg is x√(3)
For 45-45-90 triangles:
Their legs are congruent. If their legs are x -
· the hypotenuse is x√(2)
We can find x by determining the length of the legs of the 45-45-90 triangle and using the above property. Notice that one of the legs of the 45-45-90 triangle is also the long leg of the 30-60-90 triangle. By finding the length of the long leg of the 30-60-90 we can determine the length of the hypotenuse of the 45-45-90 triangle.
The hypotenuse measures 11. The long leg is √(3) times the length of the short leg. The short leg is half the hypotenuse, thus the short leg is 5.5. The long leg is 5.5√(3) or . Since this is the length of the legs of the 45-45-90 triangle, the hypotenuse (x) is .
Simplify.
Answer:
D.
Answer:
90 people
Step-by-step explanation:
0.10x9=90
plz give me crown
Answer:
5 units
Step-by-step explanation:
draw a horizontal line from the point (5, -1) to the y-axis: y=-1, it hits the y-axis at (0, -1). the distance between the two is 5 units
Number 14 is A because the formula for finding the area in a trapezoid is base1 + base2 x hight divided by 2
Red candle:
Initial height = 8 in
Burn rate = 710 in/h
After x hours, the height will be
h₁ = 8 - 710x
Blue candle:
Initial height = 6 in
Burn rate = 15 in/h
After x hours, the height will be
h₂ = 6 - 15x
When the two heights are equal, then
h₁ = h₂
8 - 710x = 6 - 15x
-695x = -2
x = 0.00288 hours
Answer:
The answer may take one of these forms:
0.003 hours, or
0.0029 hours, or
0.00288 hours.