Karina ate 1/2 of the muffins. Ulysses ate 1/4 of the muffins. Zawanna ate 1/5 of the muffins. Juan ate the rest of the muffins.
1 answer:
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Answer: 33 gallons
Step-by-step explanation:
We initially have 130 gallons of a acid solution and we need to change it to a
acid solution, and for that it is necessary to evaporate
gallons of water.
So, this situation can be mathemtically expressed as follows:
Then:
Isolating :
Hence, we need to evaporate 33 gallons of water.
Answer:
a)8
b)13
Step-by-step explanation:
a) ar = c
a^2+b^2=c^2
4^2+7^2=c^2
16+49 = c2
c = ~8
b) sa= c
a2+b2=c2
7^2 + (15-4)^2
49+121 = c2
c= = 13
I hope im right!!
Answer:
Please red the answer below
Step-by-step explanation:
In order to determine the length of each cable you use the Newton second law for each component of the forces involved in the situation.
For the x component you have:
(1)
T1: tension of the first cable = 1500N
T2: tension of the second cable = 800N
θ1: angle between the horizontal and the first cable
θ2: angle between the horizontal and the first cable
For the y component you have:
(2)
W: weight of the camera = Mg = (140kg)(9.8m/s^2) = 1372N
You can squared both equations (1) and (2) and the sum the two equations:
Then, you sum the equations:
(3)
Next, you use the following identity:
and you obtain in the equation (3):
With this values you can calculate the value of the another angle, by using the equation (1):
Now, you can calculate the length of each cable by using the information about the width of the football field. You use the following trigonometric relation:
d: distance to the right side of the field
By using the cosine law you can fins a system of equation and then you can calculate the values of l1 and l2.