Unit 11: Volume and Surface Area Homework 1: Area of Plane Figures- Find Area.
Answers
Answer:
4. 432 cm^2/2 = 216 cm^2
6. 309.76 mm^2
8. pi * 22^2 = 484pi (or, approximately 1,519.76) in^2
484/2 = 242pi or 759.88 in^2.
10. 297.84 in^2/2 = 148.92 in^2
Step-by-step explanation:
To find the area of a triangle, you take the base and multiply by the height, and then divide by 2. Hence giving me the answers I obtained in #4 and #10.
A square is equal on all sides, so you would just square the measurement of the one side.
To find the area of a circle, you would do pi times the radius^2. Since this is a semicircle, you actually should divide the number you got by 2. (Which is why I did so up above).
I hope this helps!
The area of a shape is the amount of space it can occupy.
The areas of the shapes are: 216cm[tex]^2,[/tex], 309.76mm[tex]^2,[/tex],760.61in[tex]^2,[/tex] and 148.92 in[tex]^2,[/tex] respectively
(a) Triangle
Given that:
[tex]Base = 27cm[/tex]
[tex]Height = 16cm[/tex]
The area is:
[tex]Area = 0.5 \times Base \times Height[/tex]
[tex]Area = 0.5 \times 27cm \times 16cm[/tex]
[tex]Area = 216cm^2[/tex]
(b) Square
Given that:
[tex]Length = 17.6mm[/tex]
The area is:
[tex]Area = Length^2[/tex]
[tex]Area = (17.6mm)^2[/tex]
[tex]Area = 309.76mm^2[/tex]
(c) Semi-circle
Given that:
[tex]diameter =44in[/tex]
First, calculate the radius (r)
[tex]r = 0.5 \times diameter[/tex]
[tex]r = 0.5 \times 44in[/tex]
[tex]r = 22in[/tex]
The area is:
[tex]Area = \frac{\pi r^2}{2}[/tex]
[tex]Area = \frac{3.143 \times (22in)^2}{2}[/tex]
[tex]Area = 760.61in^2[/tex]
(d) Triangle
Given that:
[tex]Base = 20.4in[/tex]
[tex]Height = 14.6in[/tex]
The area is:
[tex]Area = 0.5 \times Base \times Height[/tex]
[tex]Area = 0.5 \times 20.4in \times 14.6in[/tex]
[tex]Area = 148.92in^2[/tex]
Hence, the areas are: 216cm[tex]^2,[/tex], 309.76mm[tex]^2,[/tex],760.61in[tex]^2,[/tex] and 148.92 in[tex]^2,[/tex] respectively
Read more about areas at:
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Related Questions
Raul calculated that he would spend $125 on school supplies this year. He actually spent $87.50 on school supplies. What is Raul’s percent of error?
A 42.9%
B 37.5%
C 30%
D 3%
Answers
Answer:
C 30%
Step-by-step explanation:
87.50/125= 0.70
1-0.7-0.3
Answer:
42.9%
Step-by-step explanation:
So you would use [ ((V2 - V1) / |V1|) * 100 ]
V1 = 87.5 to V2 = 125
= ((125 - 87.5) / |87.5|) * 100
= (37.5 / 87.5) * 100
= 0.428571 * 100
= 42.8571% change
= 42.8571% increase
Then you round to 42.9!
Hope it helps! :)
JKLM is a rhombus. Find JK. PLZ HELP!
Answers
Answer:
JK=8
Step-by-step explanation:
the sides are equal so set KL equal to LM
b+5=3b-1
b=6=3b
6=2b
b=3
b+5
3+5
8
Using the property of the sides of a rhombus, the missing length is determined as: B. JK = 8.
What is a Rhombus?A rhombus is a quadrilateral.The four sides of a rhombus are congruent, that is, they have equal measure.Thus:
KL = ML
Substitute
b + 5 = 3b - 1
Solve for bb - 3b = -5 - 1
-2b = -6
b = 3
Find JK
JK = KL = b + 5
JK = b + 5
Plug in the value of bJK = 3 + 5
JK = 8
Therefore, using the property of the sides of a rhombus, the missing length is determined as: B. JK = 8.
Learn more about rhombus on:
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{(1, -2), (-2, 0), (-1, 2), (1, 3)}
determine if the following relations are functions. then state the domain and range.
Answers
Domain={1,-2,-1}
Range={-2,0,2,3}
Hope this helps
Have a great day/night
Find the GCF of 22ab 2c 2 and 40a 3c 2.
Answers
Answer:
2ac^2
Step-by-step explanation:
Factors:
22ab^2c^2 = 2 * 11 * a * b * b * c * c
40a^3c^2= 2 * 20 * a * a * a * c * c
GCF:
= 2 * a * c * c
= 2ac^2
Answer:
40a
Step-by-step explanation:
(-4a^2 -5a + 7) + (a^2 + 8a)
Answers
Answer:
-3a^2 + 3a +7
Step-by-step explanation:
Hopefully, this is what you're looking for
I just simplified it :)
Answer:
i simplified it
Step-by-step explanation:
-3a^2 + 3a +7
The depth of a lake is 15.8 m.
Jada accurately measured the depth of the lake to the nearest meter. What measurement did Jada get?
Answers
Answer:
16 m
Step-by-step explanation:
Answer:
16 meters
Step-by-step explanation:
Marco needs to buy some cat food. At the nearest store, 3 bags of cat food cost $6.75. How much
would Marco spend on 2 bags of cat food?
Answers
Answer:
6.75/3=2.25
2.25 per bag
2.25x2=4.5
Step-by-step explanation:
$4.50 for 2 bags
using the function f(x) = -3 x -5, calculate f(-7)
Answers
Explanation: when you plug in -7 for x in the equation you have and just multiply it by -3 you will get 21 then subtract 5 and that will give yo 16
I need help. For khan academy. Explain if you can
Answers
Answer: Ok so the number on the y axis is 0,-3 cause it is above -4. And the next point is 1,-5. That is because the first thing you plot is the x axis and then the y axis so that it gives you your number
Solve the equation.
4b+3=−9
Answers
Answer:
b=-3
Step-by-step explanation:
4b+3=−9
-3 -3
4b=-12
4b/4 =-12/4
b=-3
what type of triangle, if any, can be formed with sides measuring 8 inches, 8 inches, and 3 inches?
Answers
y = 2x - 3
y = 2x + 1
Answers
Answer:
No solution.
General Formulas and Concepts:
Algebra I
Solving systems of equations by graphingStep-by-step explanation:
If the lines are parallel, they will have no solutions.
If the lines are the same, they will have infinite solutions.
If the lines are anything else, they will usually have 1 solution.
If we graph the systems of equations, we see that the lines are parallel.
∴ the systems has no solution.
I'm confused about this question
Answers
Answer:
the answer is 3
Step-by-step explanation:
A cylinder has a volume of 198 cm3, and its base has an area of 22 cm2. What is the height of the cylinder? V= πr²h
Answers
Answer:
The height of cylinder is 9 cm
Step-by-step explanation:
Volume of cylinder = 198 cm³
Base Area = 22 cm²
We need to find height of the cylinder
The formula used is: [tex]Volume\:of\:cylinder=\pi r^2h[/tex]
Where [tex]Base\: Area = \pi r^2[/tex]
First we need to find radius r
[tex]Base\: Area = \pi r^2\\22=3.14\: r^2\\r^2=\frac{22}{3.14}\\r^2=7\\Taking\: square\: root\: on\: both\: sides\\\sqrt{r^2}=\sqrt{7}\\r=2.656[/tex]
So, we get radius r = 2.656
Putting values of volume and radius are to find height
[tex]Volume\:of\:cylinder=\pi r^2h\\198=3.14(2.656)^2h\\h=\frac{198}{22}\\h=9[/tex]
So, the height of cylinder is 9 cm
HELP GIVING BRAINLIEST NUMBER 5!!!!!!
Answers
Answer:
1 solution
Step-by-step explanation:
4x + 5 = 6(x+3) - 20 - 2x
4x + 5 = 6x + 18 - 20 - 2x
4x + 5 = 4x -2
X = 3 therefore, there is only one solution
A satellite cable company charges an installation fee of $50 plus an additional $35.95 per month for service.
Answers
Reflect Rodrigo drew this diagram
related to the diagram in problem 3.
How does Rodrigo's diagram help to
support understanding of the
Pythagorean Theorem?
Answers
Some one help ASAP please help I’m stuck
Answers
Answer:
SOH CAH TOA
Step-by-step explanation:
/hyp/2=/ opp/ 2 +/Adj/2
x2=(1/21)2 + 1/28)2
6x+5 = ru what is ru?
Answers
Answer: 65
Step-by-step explanation:
Answer:
wut
Step-by-step explanation:
Help please help desperate due today..
Answers
Answer:
54 Students on each bus
Step-by-step explanation:
I got that answer by subtracting 16 to 232 which got me 216 then i divide 4 and got 54!
Hope this Helps! :)
Answer:
54
Step-by-step explanation:
First you do 232-16 which is 216 then all you do is divided 216 by 4 which is 54!
I hope this helps and have a great day!
Factor completely x3 + 7x2 + 3x + 21.help meeeee
Answers
Answer:
(x+7) (x^2+3)
Step-by-step explanation:
Add and subtract the second term to the expression and factor by grouping. Hope this helps!
4(10s) – 20 – 50s – 12 + 4s PLEASE HELP AND EXPLAIN
Answers
40s-20-50s-12+4s
-6s+-32
What is the slope of the line?
Answers
Answer:
I believe m=-5/3
Match each equation with the correct answer.
19 - 4
24 - 9
Answers
Answer:
half of 30
Step-by-step explanation:
19 - 4 = 15
24 - 9 = 15
Henry rolls a fair dice 42 times. How many times would Henry expect to roll a number greater than 5?
Answers
Answer:
7 times
Step-by-step explanation:
There is one number greater than 5 on a dice - that is the number 6.
So probability of throwing a six = 1/6.
So it is 42 * 1/6.
Justin set his watch 19 seconds behind, and it falls behind another 1 second every day. How
many days has it been since Justin last set his watch if the watch is 50 seconds behind?
Answers
Answer:
31 days
Step-by-step explanation:
Hope this helps!
Brainiest?
Answer:
31 days
Step-by-step explanation:
you have a set number already 19 if every day the watch goes back 1 day 31+19=50
f(x) = -6x-1
f(-1/2) = ?
Answers
Answer:
Intersection point of this is (0,-0.5)
Step-by-step explanation:
Hope this helps :)
If , 9/24=3/X then x is
Answers
Answer:
this is your answer
I hope it helps you
:-))
Answer:
X=8
Step-by-step explanation:
9/24=3/x
reduce fraction with 3
3/8=3/x
Simplify the equation using cross-multiplication
3x=24
Divide both sides of the equation by 3
x=8
g(-3) if g(x)=2x-4 show your work
Answers
Answer:
g(-3) = -10
Step-by-step explanation:
All you have to do is plug -3 in for x!
g(-3) = 2(-3) - 4
g(-3) = -6 - 4
g(-3) = -10
Given m || n, find the value of x.
(Check link)
Answers
Answer:
160
Step-by-step explanation: