Answer:
tbh im sorry i dont know :(
Answer:
1350 square inches
Step-by-step explanation:
The area of the end trapezoid is ...
A = (1/2)(b1 +b2)h = (1/2)(12 +36)(5) = 120 . . . . . square inches
The perimeter of the end trapezoid is ...
P = 13 +12 +13 + 3×12 = 74 . . . . inches
so the total area of the rectangular surfaces (including the bottom) is ...
(74 in)(15 in) = 1110 in²
The total area of the ramp is this rectangular area plus the two trapezoidal ends:
total area = rectangle area + 2×trapezoid area
= 1110 in² +2×120 in²
total area = 1350 square inches
Answer:
y = -3x - 4
Step-by-step explanation:
x - y - 2 = 4x + 2
x - y - 2 + y = 4x + 2 + y
x - 2 = 4x + 2 + y
x - 2 - 4x - 2 = 4x + 2 + y - 4x - 2
-3x - 4 = y
so y = -3x - 4
Answer:
S = 8
Step-by-step explanation:
An infinite geometric series is defined as limit of partial sum of geometric sequences. Therefore, to find the infinite sum, we have to find the partial sum first then input limit approaches infinity.
However, fortunately, the infinite geometric series has already set up for you. It’s got the formula for itself which is:

We can also write in summation notation rather S-term as:

Keep in mind that these only work for when |r| < 1 or else it will diverge.
Also, how fortunately, the given summation fits the formula pattern so we do not have to do anything but simply apply the formula in.

Therefore, the sum will converge to 8.
Please let me know if you have any questions!
Answer:
(-6,8)
Step-by-step explanation:
2x + 9y = 60
-9x + y = 62 --> y = 9x + 62 --> 2x + 9(9x + 62) = 60 -->
2x+ 81x + 558 = 60 -->
83x + 558 = 60 -->
83x = -498 -->
x = -6 -->
y = 9(-6) + 62 -->
y = 8