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Goshia [24]
4 years ago
7

Which lines are parallel? Justify your answer.

Mathematics
2 answers:
BigorU [14]4 years ago
6 0

Answer:

b

Step-by-step explanation:

Lines p and q are parallel because alternate exterior angles are congruent

took quiz

Mamont248 [21]4 years ago
3 0

Answer:

B on edge

Step-by-step explanation:

Lines p and q are parallel because alternate exterior angles are congruent

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It takes Taylor hour to make of a batch of cookies. About how long will it take him to make 8 batches?
OLEGan [10]

Answer:

it would be 8 hours.....

Step-by-step explanation:

      im  am a bit confused, why is that not an answer choice

8 0
3 years ago
A robotic machine fills containers with an acid solution at the rate of 50 + 5 t milliliters (mL) per second, where t is in seco
Alika [10]

Answer:

12,000

Step-by-step explanation:

The machine fills the containers at a rate of 50+5t milliliters (mL) per second.

Therefore, the rate of change of the number of containers, N is:

\dfrac{dN}{dt}=50+5t, 0\leq t\leq 60

dN=(50+5t)dt\\$Taking integrals of both sides\\\int dN=\int (50+5t)dt\\N(t)=50t+\frac{5t^2}{2}+C $(C a constant of integration)\\\\When t=0, , No containers are filled, therefore:$ N(t)=0\\0=50(0)+\frac{5(0)^2}{2}+C\\C=0\\$Therefore, N(t)=50t+2.5t^2

When t=60 seconds

N(60)=50(60)+2.5(60)^2\\N(60)=12000$ mL

Therefore, 12,000 milliliters of acid solution are put into a container in 60 seconds.

7 0
3 years ago
what is the length and width of a parallelogram that is 60 meters and the width is 2 meters less than the length
AlladinOne [14]
The box is 5m long, 3m wide, 4m high
7 0
3 years ago
Find the value of n in the solution to the system of equations =2+7 =4−3
Svetach [21]

Answer: there is no N in the equation

Step-by-step explanation:

6 0
3 years ago
A cone with radius 2 and height 9 has its radius tripled. How many times greater is the volume of the larger cone than the small
SpyIntel [72]

Answer:

When increasing the radius 3 times the volume increases 9 times and when it is reduced to a third the volume decreases 9 times

Step-by-step explanation:

We have that the formula for the volume of a cone is:

Vc = pi * (r ^ 2) * h

We first calculate the original volume, where the radius is 2 and the height is 9, replacing:

Vc = 3.14 * (2 ^ 2) * 9

Vc = 113.04

Now if the radius is tripled it would be: 2 * 3 = 6, the radius would be 6, replacing:

Vc = 3.14 * (6 ^ 2) * 9

Vc = 1017.36

If we compare:

1017.36 / 113.04 = 9

This means that when the radius is tripled, the volume increases 9 times.

When if re reduces to a third the radius would be: 2/3, replacing:

Vc = 3.14 * ((2/3) ^ 2) * 9

Vc = 12.56

113.04 / 12.56 = 9

Which means that by reducing it to a third the volume becomes 9 times smaller.

6 0
4 years ago
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