Find the slope of the line that passes through (10, 3) and (7, 11).

A cylinder has a helght of 16 cm and a radius of 5 cm. A cone has a helght of 12 cm and a radius of 4 cm. If the cone is placed

erma4kov [3.2K]

Answer:

1055.04 cm³

Step-by-step explanation:

Given that,

Height of a cylinder, h = 16 cm

Radius of the cylinder, r = 5 cm

The height of a cone, h' = 12 cm

The radius of a cone, r' = 4 cm

The volume of the cylinder will be :

$V=\pi r^2 h\\\\=3.14\times 5^2\times 16\\\\=1256\ cm^3$

The volume of a cone is given by :

$V'=\dfrac{1}{3}\pi r^2 h\\\\=\dfrac{1}{3}\times 3.14\times (4)^2\times 12\\\\=200.96\ cm^3$

Volume of the air surrounding the cone Inside the cylinder = 1256 - 200.96 = 1055.04 cm³

Hence, the required answer is equal to 1055.04 cm³.

3 0

2 years ago

Solve for x: 1/2(4x+3)=3x-5

Temka [501]

Answer:

I believe x=6 1/2 which is 6.5 in decimal form :)

8 0

2 years ago

Solve the right triangle. Round to the nearest degree and nearest tenth of a unit. What is the right angleV?

N76 [4]

Answer:

m∠V ≈ 61°

Step-by-step explanation:

The hypotenuse and the side opposite the angle of interest are given. The relevant trig relation is ...

Sin = Opposite/Hypotenuse

sin(V) = XW/XV = 7/8

The inverse sine function is used to find the angle:

V = arcsin(7/8) ≈ 61°

4 0

1 year ago

Dual-energy X-ray absorptiometry (DXA) is a technique for measuring bone health. One of the most common measures is total body b

kramer

Answer:

(a)

$\bar x = 0.0075$

$s = 0.0049$

(b)

B. The sample is too small to make judgments about skewness or symmetry.

Step-by-step explanation:

Given:

$n = 8$

$\begin{array}{ccccccccc}{} & {S} & {u} & {b} &{j} & {e} & {c} & {t} & {s} &{Operator} & {1} & {2} & {3} & {4} & {5} & {6} & {7} & {8} & {1} & 1.326 & 1.337 & 1.079 & 1.229 & 0.936 & 1.009 & 1.179 & 1.289 & 2 & 1.323 & 1.322 & 1.073 & 1.233 & 0.934 & 1.019 & 1.184 & 1.304 \ \end{array}$

Solving (a):

First, calculate the difference between the recorded TBBMC for both operators:

$\begin{array}{ccccccccc}{} & {S} & {u} & {b} &{j} & {e} & {c} & {t} & {s} &{Operator} & {1} & {2} & {3} & {4} & {5} & {6} & {7} & {8} & {1} & 1.326 & 1.337 & 1.079 & 1.229 & 0.936 & 1.009 & 1.179 & 1.289 & 2 & 1.323 & 1.322 & 1.073 & 1.233 & 0.934 & 1.019 & 1.184 & 1.304 &{|1 - 2|} &0.003 & 0.015 & 0.006 & 0.004 & 0.002 & 0.010 & 0.005 & 0.015 \ \end{array}$

The last row which represents the difference between 1 and 2 is calculated using absolute values. So, no negative entry is recorded.

The mean is then calculated as:

$\bar x = \frac{\sum x}{n}$

$\bar x = \frac{0.003 + 0.015 + 0.006 + 0.004 + 0.002 + 0.010 + 0.005 + 0.015}{8}$

$\bar x = \frac{0.06}{8}$

$\bar x = 0.0075$

Next, calculate the standard deviation (s).

This is calculated using:

$s = \sqrt{\frac{\sum (x - \bar x)^2}{n}}$

So, we have

$s = \sqrt\frac{(0.003 - 0.0075)^2 + (0.015 - 0.0075)^2+ (0.006- 0.0075)^2+ ....... + (0.005- 0.0075)^2+ (0.015- 0.0075)^2 }{8}$ $s = \sqrt\frac{0.00019}{8}$

$s = \sqrt{0.00002375$

$s = 0.0049$

Solving (b):

Of the given options (A - E), option B is correct because the sample is actually too small

6 0

2 years ago

Danielle earns a 7.25% commission on everything she sells at the electronics store where she works. She also earns a base salary

11111nata11111 [884]

Answer:

She earned 1,076 dollars and 25 cents.

Step-by-step explanation:

x = 7.25 * 4,500 / 100

x = 7.25 * 45

x = 326.25

So commission earned is 326.25 $

We need to add this to her base salary for the week, so:

750 + 326.25 = 1, 076.25

Therefore she earned 1,076 dollars and 25 cents.

Hopes this helps ;p

8 0

2 years ago