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kolbaska11 [484]

3 years ago

15

Determine the angle measure.

1 answer:

Lesechka [4]3 years ago

6 0

Answer:

the measurement is 30 degrees

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Please help with these problems.

DiKsa [7]

13 should be b and
14 is a because geometric mean to have a common ratio

7 0

3 years ago

Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 4cm and a height of 16cm, at the ra

bearhunter [10]

Answer:

$\frac{dh}{dt}=-\frac{1}{2\pi}cm/min$

Step-by-step explanation:

From similar triangles, see diagram in attachment

$\frac{r}{4}=\frac{h}{16}$

We solve for $r$ to obtain,

$r=\frac{h}{4}$

The formula for calculating the volume of a cone is

$V=\frac{1}{3}\pi r^2h$

We substitute the value of $r=\frac{h}{4}$ to obtain,

$V=\frac{1}{3}\pi (\frac{h}{4})^2h$

This implies that,

$V=\frac{1}{48}\pi h^3$

We now differentiate both sides with respect to $t$ to get,

$\frac{dV}{dt}=\frac{\pi}{16}h^2 \frac{dh}{dt}$

We were given that water is drained out of the tank at a rate of $2cm^3/min$

This implies that $\frac{dV}{dt}=-2cm^3/min$ .

Since we want to determine the rate at which the depth of the water is changing at the instance when the water in the tank is 8cm deep, it means $h=8cm$ .

We substitute this values to obtain,

$-2=\frac{\pi}{16}(8)^2 \frac{dh}{dt}$

$\Rightarrow -2=4\pi \frac{dh}{dt}$

$\Rightarrow -1=2\pi \frac{dh}{dt}$

$\frac{dh}{dt}=-\frac{1}{2\pi}$

3 0

3 years ago

Read 2 more answers

Of the 1,400 students enrolled at a Middle School, 40% of students enrolled are in the 6th grade. How many students are enrolled

scZoUnD [109]

Answer:

560 students

Step-by-step explanation:

1400*.40=560 students in 6th grade

8 0

3 years ago

Is it ture equivalent decimals are decimals that have the same value

tester [92]

Yes that statement is true

4 0

3 years ago

Gina is training for a marathon. She ran 4.6 miles on Friday and 6.75 miles on Saturday. On Sunday, she ran 13 miles. How much f

navik [9.2K]

Answer:

1.65

Step-by-step explanation:

First you need to find the sun of 4.6 and 6.75, you should do this because it is asking for the two numbers combined. When you add these two numbers, you get 11.35

Now you need to subtract 13 and 11.35 because it wants to know how much father she ran on Saturday than friday, signaling subtraction. When you subtract 13-11.35 you should get 1.65

4 0

3 years ago