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3 years ago

The angle of depression from point R to point S is angle .

2 answers:

6 0

The whole question is: The angle of depression from point R to S is angle- 3
The angle of elevation from point S to R is- 4
Angle 2 is the angle of elevation from- point R to point Q
Angle 1 is the angle of- depression from point Q to point R

Verizon [17]3 years ago

3 0

The angle of depression means it's going down starting at R and going down to Point S so it really depends on the question at hand

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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

Sarah needs to make a cake and some cookies. The cake requires 3/4 cups of sugar and the cookies require 3/5 cups of sugar. If s

Ann [662]

Answer:No, she does not have enough cups of sugar

Step-by-step explanation:

Sarah needs to make a cake and some cookies. The cake requires 3/4 cups of sugar. If she has 15/16 cups of sugar, then the number of cups of sugar that would be left after making the cake would be

15/16 - 3/4 = (15 - 12)/16 = 1/4

If the cookies require 3/5 cups of sugar, then the cups of sugar that she has won't be enough because

1/4 - 3/5 = (5 - 12)/5 = -7/5 cups

It means that she would need more cups of sugar.

3 0

2 years ago

Forty randomly selected students were asked the number of pairs of sneakers they owned. Let X = the number of pairs of sneakers

eimsori [14]

The mean of sample x is 5.83

The standard deviation is 5.63

<h3>What is standard deviation?</h3>

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given:

Frequency: 2 2 4 13 13 1

If x is the pair of sneakers owned of the frequency,

mean = 2+2+4+13+13+1/5

= 35/6

= 5.83

The standard deviation is equal to 5.63.

Learn more about this concept here:

brainly.com/question/18119796

#SPJ1

8 0

2 years ago

PLEASE HELP !! WILL MARK !!

BaLLatris [955]

Answer:

The RANGE of the function f is

A) [1, 3]

( :

6 0

3 years ago

Read 2 more answers

When Adrian commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 24 minutes and a

Annette [7]

Answer:

(13.5, 34.5)

Step-by-step explanation:

The empirical rule states that for a normal distribution, the data will fall within three standard deviations of the mean. 68% of the data falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

Given that mean (µ) = 24 and standard deviation (σ) = 3.5

Using empirical rule, the interval that represents the middle 99.7% = (µ ± 3σ) = (24 ± 3*3.5) = (13.5, 34.5)

4 0

2 years ago