Answer:
65 degrees
Step-by-step explanation:
Break the parallelogram up into two triangles. Angle E is 70 degrees and 45 degrees because of the property of equal opposite angles. So E 45 degrees Y 70 degrees and if you add the two up you get 115 degrees. There are 180 degrees in a triangle, so 180-115=65.
Answer:
$6750 in the bank account and $20,250 in the stock fund
Step-by-step explanation:
If B is the money they put in the bank and S is the amount they put in the stock fund, then:
B + S = 27000
1.024 B + 1.072 S = 1.06 × 27000
Solving the system of equations:
1.024 (27000 − S) + 1.072 S = 28620
27648 − 1.024 S + 1.072 S = 28620
0.048 S = 972
S = 20250
B = 27000 − S
B = 6750
They should put $6750 in the bank account and $20,250 in the stock fund.
Answer:
The slope is -1/2
Step-by-step explanation:
Hope this helps (:
Answer:
C. plane HJG
Step-by-step explanation:
hope this helped :-)
Answer:
y= 1/12(x-0)^2+0
this answer works as an upward parabola
Step-by-step explanation:
- The formula for a veritcal parabola is y=1/4p(x-h)^2+k
- (h,k)= coordinates of the vertex of the parabola
- p= absolute value of the distance from the vertex to the focus/directrix
- In this problem, it is given that the vertex is at the origin (0,0) and the focus (the bulb), is 3 centimeters away from the vertex.
- Now, you know the values of the variables. Fill in the values
- FROM THE FORMULA: 1/4p turns into 1/12 since p is 3.
- (x-h)^2+k turns into (x-0)^2+0, since h and k where the values of the vertex which was 0,0
- once all the variables are given values (except x and y) you have made your equation!
- The answer is y=1/12(x-0)^2+0
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