Answer:
1.)4188.79
2.) 7238.23
3.)1.02
4.)4189
5.)170 cm³
Step-by-step explanation:
1.) 4πr2 * 5
2.) 4πr2 * 12
3.) V = 4/3(PI*r3). *4.5
4.) V = 4/3 π r ^3 * 10
5.) Given:
Cylindrical container: height = 18 cm ; diameter = 6 cm.
3 balls each have a radius of 3 cm.
Volume of a cylinder = π r² h
V = 3.14 * (3cm)² * 18 cm
V = 508.68 cm³
Volume of rubber ball = 4/3 π r³
V = 4/3 * 3.14 * (3cm)³
V = 113.04 cm³
113.04 cm³ * 3 balls = 339.12 cm³
508.68 cm³ - 339.12 cm³ = 169.56 cm³ or 170 cm³
There is 170 cm³ free space in the container.
This is the concept of trigonometry, we are required to calculate the number of floors the building has given the information above;
# floors=[height of the building]/[height of each floor]
height of each floor=17 ft
let the height of the building be,h.
h is given by;
tan theta=opposite/adjacent
theta=80
opposite=h
adjacent=75 ft
thus
tan 80=h/75
h=75 tan 80
h=425.35 ft
thus the number of floors will be:
425.35/17
=25.020≈25 floors
Given the number of the people attending the football game, the percentage supporters for the home team is 37%.
<h3>What is Percentage?</h3>
Percentage is simply number or ratio expressed as a fraction of 100.
It is expressed as;
Percentage = ( Part / Whole ) × 100%
Given the data in the question;
- Number of home team supporters nH = 1369
- Number of visting team supporters nV = 2331
- Percentage of supporters for home team PH = ?
For we determine the total number of people attending the football game;
nT = nH + nV
nT = 1369 + 2331
nT = 3700
Now, using the perecentage formula above, we find the Percentage of supporters for home team PH
Percentage = ( Part / Whole ) × 100%
PH = ( nH/ nT) × 100%
PH = ( 1369/ 3700) × 100%
PH = 0.37 × 100%
PH = 37%
Therefore, given the number of the people attending the football game, the percentage supporters for the home team is 37%.
Learn more about Percentages here: brainly.com/question/24159063
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Answer:
46 questions correct
Step-by-step explanation:
- 100% = 50 questions
- 2% = 1 question
- 92% = 46 questions
