Use PEMDAS
1. 2(2^2)-2
=2(4)-2
=8-2
=6
2. 2((-2)^2)-(-2)
=2(4)+2
=8+2
=10
Answer:
x = 16
m<Y = 34°
Step-by-step explanation:
∆XYZ is an isosceles ∆. An isosceles ∆ has two equal sides, as well as the bases of the isosceles triangle are congruent. In this case, therefore:
<X = <Z
(6x - 23)° = (4x + 9)
Solve for x
6x - 23 = 4x + 9
Collect like terms
6x - 4x = 23 + 9
2x = 32
Divide both sides by 2
x = 16
m<Y = 180° - (m<X + m<Z) (sum of ∆)
m<Y = 180 - ((6x - 23) + (4x + 9))
Plug in the value of x
m<Y = 180 - ((6(16) - 23) + (4(16) + 9))
m<Y = 180 - (73 + 73)
m<Y = 34°
Answer:
What do think the answer is cause I don't know
12.7
Using the Pythagorean theorem, you can easily calculate the length of BC.
So:
BC = sqrt(12^2 - 6^2) = sqrt(144 - 36) = sqrt(108) = 10.39230485
Now consider triangle BCD. You know all three angles and one side. Using the law of sines you know that ratio of the sine of each angle over the opposite side is constant. So:
BC/sin(55) = CD/sin(90)
BC/sin(55) = CD/sin(90)
sin(90)BC/sin(55) = CD
1*BC/sin(55) = CD
BC/sin(55) = CD
10.39230485/0.819152044 = CD
12.68666167 = CD
12.7 = CD
Answer: D: 17.3
Step-by-step explanation:
I believe its D because the house and the ground is a 90 degree angle, and at 60 degree angle is a 20 foot ladder. alright then 90 plus 60 = 150 degrees.
then add the twenty foot ladder with each choice for the answer:
A: 20 + 6.1 = 26.1
B: 20 + 10.0 = 30
C: 20 + 14.1 = 34.1
D: 20 + 17.3 = 37.3
The answer would be D because it is the closer number to 150. Because it says " which is the closest height up the house the ladder reaches?" The answer is D the closest number. I HOPE THIS HELPS YOU! =D
