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:
https://brainly.com/question/16418397
Related Questions
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
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!
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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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
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.
What is the slope of the line?
Answers
Answer:
I believe m=-5/3
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! :)
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
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:
Given m || n, find the value of x.
(Check link)
Answers
Answer:
160
Step-by-step explanation:
4(10s) – 20 – 50s – 12 + 4s PLEASE HELP AND EXPLAIN
Answers
40s-20-50s-12+4s
-6s+-32
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:
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!
6x+5 = ru what is ru?
Answers
Answer: 65
Step-by-step explanation:
Answer:
wut
Step-by-step explanation:
I'm confused about this question
Answers
Answer:
the answer is 3
Step-by-step explanation:
A satellite cable company charges an installation fee of $50 plus an additional $35.95 per month for service.
Answers
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
{(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
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
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
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
f(x) = -6x-1
f(-1/2) = ?
Answers
Answer:
Intersection point of this is (0,-0.5)
Step-by-step explanation:
Hope this helps :)
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
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
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
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
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
(-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
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.