Find what k equals pls

Please Help !!! Picture shown.

Alina [70]

Answer Choice C

Draw a line from angle down to side AC

3 0

3 years ago

Read 2 more answers

83 + what = 180 :3 ^-^

Mazyrski [523]

97 is the answer to your question

5 0

2 years ago

Read 2 more answers

A filter filled with liquid is in the shape of a vertex-down cone with a height of 9 inches and a diameter of 6 inches at its op

Alina [70]

Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

Step-by-step explanation:

Since we have given that

Height = 9 inches

Diameter = 6 inches

Radius = 3 inches

So, $\dfrac{r}{h}=\dfrac{3}{9}=\dfrac{1}{3}\\\\r=\dfrac{1}{3}h$

Volume of cone is given by

$V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{1}{3}\pi \dfrac{1}{9}h^2\times h\\\\V=\dfrac{1}{27}\pi h^3$

By differentiating with respect to time t, we get that

$\dfrac{dv}{dt}=\dfrac{1}{27}\pi \times 3\times h^2\dfrac{dh}{dt}=\dfrac{1}{9}\pi h^2\dfrac{dh}{dt}$

Now, the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie $\dfrac{dv}{dt}=-4\ in^3$

and h = 2 inches deep.

$-4=\dfrac{1}{9}\times \pi\times (2)^2\dfrac{dh}{dt}\\\\-9\pi =\dfrac{dh}{dt}\\\\-28.28=\dfrac{dh}{dt}$

Hence, level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

7 0

2 years ago

Imagine that you are doing an exhaustive study on the children in all of the daycares in your school district. You are particula

alisha [4.7K]

Answer: The difference between M and mu is due to the sampling error is <u>-6.59 .</u>

Step-by-step explanation:

As per given:

in population, the average number of minutes spent in active play on weekends is μ = 65.87

In sample, the average number of minutes the children spend in active play on weekends is M = 59.28

Now, the difference between M and μ is due to the sampling error is M- μ

= 59.28 - 65.87

= -6.59

So, the difference between M and mu is due to the sampling error is <u>-6.59 .</u>

8 0

3 years ago

If Levi purchased a total of 50 ride tickets and game tickets at the amusement park and spent $29. If right tickets cost $.75 ea

erica [24]

Answer: he purchased 16 ride tickets.

Step-by-step explanation:

Let x represent the number of ride tickets that he purchased.

Let y represent the number of game tickets that he purchased.

Levi purchased a total of 50 ride tickets and game tickets at the amusement park. It means that

x + y = 50

If ride tickets cost $.75 each and game tickets cost $.50 each and the total amount spent on the tickets is $29, it means that

0.75x + 0.5y = 29- - - - - - - - - - - -1

Substituting x = 50 - y into equation 1, it becomes

0.75(50 - y) + 0.5y = 29

37.5 - 0.75y + 0.5y = 29

- 0.75y + 0.5y = 29 - 37.5

- 0.25y = - 8.5

y = - 8.5/-0.25

y = 34

x = 50 - y = 50 - 34

x = 16

5 0

2 years ago