11.28 cm is the answer to this problem.
Answer:
Step-by-step explanation:
The perpendicular is equal to 6. That's because the left triangle's missing angle is 180 - 45 -90 = 45
The angle in the right triangle is given as 52.
The cos(52) = adjacent side (which we just found to be 6) / y
Multiply both sides by y
y cos(52) = 6
cos(52) = 0.6157
Divide by sides by cos(52)
y = 6 / cos(52)
y = 6 / 0.6157
y = 9.76
X = -2
- 3 - 5 = -8 then 4x / 4 = -8/4 = -2
Answer:
1. DB = 10 as diagonals of isosceles trapezoid are congruent
2. ∠DAB and ∠BCD are supplementary angles
- m∠BCD = 180° - 120° = 60°
3. ∠BCD is congruent with ∠ADC as trapezoid is isosceles
4. AB = 15, DC = 25,
- EB = 1/2(AB + DC) as midline
- EB = 1/2(15 + 25) = 20
5. m∠ADC = 2x - 10, m∠ABC = 3x + 40
<u>These are supplementary, find x first:</u>
- 2x - 10 + 3x + 40 = 180
- 5x + 30 = 180
- 5x = 150
- x = 30
- m∠BCD = m∠ADC = 2*30 - 10 = 50°
Answer:
Step-by-step explanation:
The volume of a cube is given by the formula :
a³ (where a is the side length )
So now we have to cube these lengths :
Part A :
(3x²y)³ =
(3x²y)(3x²y)(3x²y) =
(9x^4y²)(3x²y) =
27x^6y³ (This is now fully simplified so our final answer for a)
Part B:
(5y²)³ =
(5y²)(5y²)(5y²) =
(25y^4)(5y²) =
125y^6 (This is now fully simplified so our final answer for b)
Hope this helped and have a good day
