Step-by-step explanation:
a + a r + a r^2 + a r^3 + a r^4 + a r^5 + ar^6
a r^2 = 108
a r^5 =-32
r^5/r^2 = - 32/108 = -8/27
r^3 = -2^3/3^3 =
r = - 2/3
Answer:
Step-by-step explanation:
(103,581) • (%110)
= (103,581) • (1.10)
= $113,939.1
<u>Answer</u>
B(18/5,0)
<u>Explanation</u>
First we find the coordinates of C;
C (x, y) = [(-3+7)/2, (2+6)/2]
= (2, 4)
Find the equation of CD.
slope = (6-2)/(7--3)
= 4/10 = 2/5
slope of CD = -5/2
-5/2 = (y - 4)/(x - 2)
-5/2(x - 2) = y - 4
(-5/2) x + 5 = y - 4
y = (-5/2)x + 9
For the x-intercept y = 0
∴ y = (-5/2)x + 9
0 = (-5/2)x + 9
5/2 x = 9
x = 2/5 × 9
= 18/5
x-intercept = (18/5, 0)
The first answer: you have to 560-200 which equals 360 then divide by 45 which equals 8 so your answers 8
The second answers: first 6.91- 1.45= 5.46 then take 5.46 and divide by 0.42 which equals 13 so your answers 13
Answer:
The angle that the ramp makes with the ground is 11.54°
Step-by-step explanation:
From the image attached, we can see that the length of 17 1/2 ft corresponds to the hypotenuse in a right triangle, the length of 3 1/2 ft corresponds to the opposite side.
We can use the fact that the sin(θ) = 
to find the angle that the ramp makes with the ground.
The angle is equal to
