The answer is D) 72, 108
First you have to find out the measure of the two other angles in the triangle. Those two angles will be equivalent.
Because the sum of all three angles in a triangle is 180, you subtract 36 from it (180 - 36 = 144) then divide by 2 (144/2 = 72).
So, the two angles at the bottom of the triangle are each 72. Because those angles are supplementary to the angles at the top of the trapezoid, you subtract 72 from 180 (180 - 72 = 108).
108 + 108 = 216
The sum of all the angles in a trapezoid is 360, so subtract 216 from 360 (360 - 216 = 144) then divide by 2 (144/2 = 72)
Answer:
i)The correct option is D.) 99.74%
ii) The correct option is B.) 68.26%
Step-by-step explanation:
i) P(10≤X≤70) = P( (10−40)/10 ≤Z≤ (70−40
)/10 ) = Pr(−3≤Z≤3)
= 0.9987 - 0.0013 = 0.99734
Therefore the percentage of Jen's monthly phone bills are between $40 and $100 is D.) 99.74%
ii)P(2.1≤X≤3.1) = P( (2.1 − 2.6) /0.5 ≤ Z ≤ (3.1−2.6
)/0.5) = Pr(−1 ≤Z ≤1)
)
= 0.8413 − 0.1587 = 0.6826
Therefore the percentage of students at college have a GPA between 2.1 a,d 3.1 is B.) 68.26%
Answer:
x = 5
Step-by-step explanation:
6(3 - 7x) = -192
Divide each side by 6
6/6(3 - 7x) = -192/6
3 - 7x = -32
Subtract 3 from each side
3-7x-3 = -32-3
-7x = -35
Divide each side by -7
-7x/-7 = -35/-7
x = 5
Answer:
1) 0, 180
2) 90
3) 3pi/2
4) pi/2, -3pi/2
5) 90, 270
6) 0
7) pi
8) -2pi, 0, 2pi
Step-by-step explanation:
1) sinx = 0
x = 0, 180, 360
2) sinx = 1
x = 90
3) sinx = -1
x = 270 or 3pi/2
4) sinx = 1
x = pi/2, pi/2 - 2pi = -3pi/2
5) cosx = 0
x = 90, 360
6) cosx = 1
x = 0, 360
7) cosx = -1
x = pi
8) cosx = 1
-2pi, 0 , 2pi
