A straight line is 180°, so you can do:
109 + ? = 180 (? is the top angle of the triangle)
? = 71°
Because the triangle is an isosceles triangle, the other angle is 71° too.
71 + 71 + ? = 180
? = 38
You subtract 38 with 90 to find the other angle.
90 - 38 = 52°
To find ∠2 you subtract 52 with 180.
180 - 52 = 128
∠2 = 128
128 = 11x + 18
110 = 11x
10 = x
It is decreasing, since the y-value is going down.
Answer: 5503680
Step-by-step explanation:
The coach wants 2 senior out of 36 so he have
C₃₆,₂ = 36!/( 36 - 2 )! = 36*35*34!/34! = 36 * 35 = 1260
possibilities
Now he also wants 3 juniors out of 14
C₁₄,₃ = 14!/ (14- 3)! = 14*13*12*11!/11! = 14*13*12 = 2184
Now for each pair of senior (from 1260 outcomes) coach has 2184 possiblities therefore
Coach has
2184 * 1260 = 2751840 possibilities to choose from
Again as there are 2 senior to choose for captain we have to multiply by 2 to get the total ways the team could be
2751840*2 = 5503680
Answer:
B. 5 and 1/4 percent
Step-by-step explanation:
Step one:
given
principal= $2460
time= 3 and 1/2 years= 3.5 years
SI= $452
Required
The rate
Step two:
we know that
SI= PRT/100
substituting our data we have
452= 2460*R*3.5/100
452=8610R/100
cross multiply
452*100= 8610R
divide both sides by 8610
45200/8610= R
R= 5.25%
R= 5 and 1/4 percent
The x-axis is the amount of juice because it is the independent equation, while the y-axis is the height. The range of the x-axis starts from 0 to the maximum 20 oz. The graph is shown in the attached picture. As shown, the graph is continuous.