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3 years ago

B is the midpoint of AC. if ac =10 and BC =x+1 find the value of x

Mathematics

1 answer:

Usimov [2.4K]3 years ago

5 0

Answer:

x=9

Step-by-step explanation:

x+1=10

*subtract 1 from both sides

x=9

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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

3 years ago

James divided 144 ounces of water evenly among 4 containers. One of the containers leaked 8 ounces.

Verdich [7]

Answer:

I dont understand your question rither

Step-by-step explanation:

sorry I would help is I neew

3 0

3 years ago

WILL GIVE BRAINLIEST

luda_lava [24]

Answer:

Step-by-step explanation:

5 0

3 years ago

9 + 5 = x - 11<br>how to find the x number

astra-53 [7]

9 + 5 = x - 11

combine like terms

14 = x - 11

add 11 to both sides

25 = x

x = 25

answer

x = 25

5 0

3 years ago

Read 2 more answers

The critical value for a hypothesis test _______.

Jlenok [28]

Answer:

Option C) Critical value is based on the significance level and determines the boundary for the rejection region

Step-by-step explanation:

Critical Value:

In hypothesis testing, a critical value is a point that is compared to the test statistic
It is used to determine whether to reject the null hypothesis or accept the null hypothesis.
If the absolute value of your test statistic is greater than the critical value,we fail to accept the null hypothesis and reject it.
Critical value is affected by the significance level of the testing.
It is the value that a test statistic must exceed in order for the the null hypothesis to be rejected.

Thus, option C) is the correct interpretation of critical values.

Option C) Critical value is based on the significance level and determines the boundary for the rejection region

7 0

3 years ago