9514 1404 393
Answer:
(3) 12
Step-by-step explanation:
Let x represent the length of leg XY. Then the length of YZ is x/2 and the area of the right triangle is ...
A = 1/2bh
A = 1/2(x)(x/2) = x²/4
36 = x²/4 . . . . . use the given value for area
144 = x² . . . . . . multiply by 4
√144 = 12 = x . . . . . take the square root
The length of leg XY is 12 cm.
Answer:
cosθ = -√(35/36)
tanθ = -1/√35
Step-by-step explanation:
We know that
sin²θ + cos²θ = 1
(1/6)² + cos²θ = 1
1 - (1/6)² = cos²θ
35/36 = cos²θ
sec θ = 1/ cosθ
1/ secθ = cos θ
Because secθ < 0, 1/ secθ would also be < 0, so cos θ < 0
cosθ = -√(35/36)
tanθ = sinθ/cosθ = (1/6)/-√(35/36)
= (1/6) / -(√35/6)
= -1/√35
Answer:
Step-by-step explanation:
The diagonals of a rectangle are equal.
2x + 10 = 56 That minus sign can't be there. Subtract 10 from both sides.
2x = 56 - 10 Combine
2x = 46 Divide by 2
x = 46/2
x = 23
Answer:
24
Step-by-step explanation:
8 16 24 32 40...
6 12 18 24 30 36....
24 and 24.
Answer:
He should have to spell at least 36 of these words correctly.
Step-by-step explanation:
40 words.
He must spell at least 90% of those words correctly.
At least how many words should he have to spell correctly to get the prize?
90% of 40. So
0.9*40 = 4*9 = 36
He should have to spell at least 36 of these words correctly.