If one wheel on bob model is 4 inches across how many inches is the actual wheel on the bike

What is the volume of 22.5 g of metal with a density of 2.81 g/cm

xz_007 [3.2K]

Answer:V = 72.1 cm³ - 50.0 cm³ = 22.1 cm³

D = mV=99.7g22.1cm³ = 4.51 g/cm³

Step-by-step explanation:

d = mV

m = d×V

V = md

DENSITY

Density is defined as mass per unit volume.

d = mV

Example:

A brick of salt measuring 10.0 cm x 10.0 cm x 2.00 cm has a mass of 433 g. What is its density?

Step 1: Calculate the volume

V = lwh = 10.0 cm × 10.0 cm × 2.00 cm = 200 cm³

Step 2: Calculate the density

d = mV = 433g200cm³ = 2.16 g/cm³

MASS

d = mV

We can rearrange this to get the expression for the mass.

m = d×V

Example:

If 500 mL of a liquid has a density of 1.11 g/mL, what is its mass?

m = d×V = 500 mL × 1.11g1mL = 555 g

VOLUME

d = mV

We can rearrange this to get the expression for the volume.

V = md

Example:

What is the volume of a bar of gold that has a mass of 14.83 kg. The density of gold is 19.32 g/cm³.

Step 1: Convert kilograms to grams.

14.83 kg × 1000g1kg = 14 830 g

Step 2: Calculate the volume.

V = md = 14 830 g × 1cm³19.32g = 767.6 cm³

7 0

3 years ago

Assume that the time it takes the housekeeping crew of a local hotel to clean a room varies uniformly between 28 and 45 minutes.

siniylev [52]

Answer:

The probability that the next room will require less than 32 minutes to clean

0.222222 = 22.22%

The probability that the next room will require more than 30 minutes to clean.

0.833333 = 83.33%

The mean

36.5

Standard deviation of the distribution

26.92

Step-by-step explanation:

Total Probable Outcomes = 18

Event 1

Possible outcomes less than 32 = 32-28 = 4

Probability less than 32 = 4/18 = 2/9 = 0.222222

Event 2

Possible outcomes less than 32 = 45-30 = 15

Probability less than 32 = 15/18 = 5/6 = 0.833333

Mean

Mean = (28+29+30+31+32+33+34+35+36+37+38+39+40+41+42+43+44+45)/18 = 36.5

Standard deviation of the distribution

*MS Excel file is attached for solution.

Download xlsx

4 0

2 years ago

Roald's annual salary is $100 482. If Roald gets paid monthly, calculate his monthly income.

AysviL [449]

Ronald’s monthly income = $100,482/12 = $8373.50

Don’t know what the second question is asking ‍

6 0

2 years ago

Need help with trigonometry

vovangra [49]

Answer:

$\sf \tan(A) & =\dfrac{9\sqrt{22}}{44}$

Step-by-step explanation:

If angle C is the right angle, then side c is the hypotenuse.

Use Pythagoras' Theorem $a^2+b^2=c^2$ to find the length of side a:

Given:

b = 2√22
c = 13

$\implies a^2+(2 \sqrt{22})^2=13^2$

$\implies a^2+88=169$

$\implies a^2=81$

$\implies a=\sqrt{81}$

$\implies a=9$

<u>Tan Trig Ratio</u>

$\sf \tan(\theta)=\dfrac{O}{A}$

where:

$\theta$ is the angle
O is the side opposite the angle
A is the side adjacent the angle

Given:

$\theta$ = A
O = side opposite angle A = a = 9
A = side adjacent angle A = b = 2√22

$\begin{aligned}\implies \sf \tan(A) & =\dfrac{9}{2\sqrt{22}}\\\\ & =\dfrac{9}{2\sqrt{22}} \times \dfrac{\sqrt{22}}{\sqrt{22}}\\\\ & = \dfrac{9\sqrt{22}}{44} \end{aligned}$

6 0

1 year ago

Read 2 more answers

I need to find the distance between pairs of integers like 8 and 32; 15 and 64; and -27 and 18. How do I do this?

Alona [7]

Answer:

i believe you have to divide 8 by each number to get the distance between the pairs of integers.

Step-by-step explanation:

5 0

2 years ago