Angle c (36 degree) is equal to angle a
Angle a=36 degree
a+b=180
b=180-36
b=144 degree
Angle b=144 degree
Answer:
1. 2x + 3y = 240 AND x + y = 100
Nayeli sold 60 cups of lemonade and 40 cups of orange juice.
Step-by-step explanation:
Let
Number of cups of lemonade sold = x
Number of cups of orange juice sold = y
The system of equation could be represented by:
2x + 3y = 240 (1)
x + y = 100 (2)
from (2)
x = 100 - y
Substitute into (1)
2x + 3y = 240 (1)
2(100 - y) + 3y = 240
200 - 2y + 3y = 240
- 2y + 3y = 240 - 200
y = 40 cups
Substitute y = 40 into (2)
x + y = 100 (2)
x + 40 = 100
x = 100 - 40
x = 60 cups
Nayeli sold 60 cups of lemonade and 40 cups of orange juice.
(x, y) = (60, 40)
Q 16. The energy is 308.7 J.
Q 17. The energy is 896000 J.
Step-by-step explanation:
Q 16. Given,
Mass (m) of the carriage and baby = 1.5 kg
Height (h) = 21 m
To find the energy.
We will find the potential energy as it rests at the top.
Formula
Potential energy = mgh where g be the gravitational force of the earth = 9.8m/s²
So,
Energy = 1.5×9.8×21 J
= 308.7 J.
Hence,
The energy is 308.7 J.
Q 17. Given,
Mass (m) = 1120 kg
Speed (v) = 40 m/s
To find out the energy.
We will find out the kinetic energy as the car is in motion.
Formula
Kinetic energy =
mv²
So,
Energy =
×1120×40² J
= 896000 J
Hence,
The energy is 896000 J.
Answer:
slope = (-2 +3) / (12 -3)
= 1/9
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