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
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Related Questions
Henry Uploaded the photos birthday to a cloud storage system. He feels that it's a safe option for data storage. His friend suggested that there Maybe a disadvantage to cloud storage. Which disadvantage is Henry's friend referring to?
Answers
Answer:
Henry's friend referring to the disadvantage of Privacy.
Step-by-step explanation:
The main disadvantage of cloud storage is:
Your data is no longer in your physical storage while you are using a cloud service. So, who is responsible for ensuring that information is secure? This is a grey field which is still being worked out.
So, Henry's friend referring to the disadvantage of Privacy.
Answer:
E. The data is not under the owner’s direct control.
Step-by-step explanation:
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c. the answer is c ........
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ccccccc
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tissydydydydtdhfyfucuc
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Answer: The line is dotted and shaded above
The auditorium holds 200 people. Tickets cost $12 at the door and $8.50 if purchased in advance. The Honor Society has a goal of selling at least $1000 worth of tickets to the show.
Write a system of inequalities that can be used to model this scenario.
If 50 tickets are sold in advance, what is the minimum number of tickets that must be sold at the door so that the club meets its goal?
Answers
Answer:
they have to sell 575 tickets so they could reach their goal.
A marching band sold 350 tins of popcorn for $8 each. Each tin cost the
band $4. How much money did the band make?
$ 1.400
$700
$350
$4.200
Answers
Answer:
The band made $1,400
Step-by-step explanation:
8-4=4
350*4=1,400
The graph of g(x) goes through the point (-4, 1) and is parallel to h(x) = 5x - 2 points
8. Determine the symbolic representation of g(x). Express your answer in
slope intercept form. *
Answers
Answer:
[tex]g(x)=5x+21[/tex]
Step-by-step explanation:
The slope of g(x) is 5 because the slope of h(x) is 5 and g is parallel to h.
In point-slope form:
[tex]g(x)-1=5(x+4)[/tex]
Rearranging for slope intercept form:
[tex]g(x)-1=5x+20\\g(x)=5x+21[/tex]
What property does
(3 + 19) – 12 = 3 + ( 19 – 12)
represent?
Answers
Answer:
associative property
Step-by-step explanation:
im stuck on this question i need help
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Can someone please help me. It’s hard and I don’t understand.
Answers
9513 1404 393
Answer:
changes by 120 for each copyis 1800 if none are soldStep-by-step explanation:
Let's look at the second question first.
x is the number of copies Chau sells. If he doesn't sell any copies, then x = 0. To find Chau's pay, we use x=0 in the equation, and solve for y.
120×0 +1800 = y
0 +1800 = y
1800 = y
Chau's pay when he sells no copies is $1800.
__
If Chau sells 1 copy, then his pay is ...
120×1 +1800 = y = 1920 . . . . . . . use the equation with x = 1
The increase in Chau's pay is 1920 -1800 = 120.
Chau's pay changes by $120 for each copy he sells.
Work out the area of a rectangle with base,
b
= 15mm and height,
h
= 12mm
Answers
Answer:
15x12=180mm
Step-by-step explanation:
A ladder is 61 inches tall. How tall is it in feet and inches
Answers
Answer:
5'1
Step-by-step explanation:
Every 12 inches is a foot. 12 x 5 is 60. Plus 1. Is 61.
That mean's it's 5 feet 1 inch.
Answer:
5 feet 1 inch
Step-by-step explanation:
because 12 inches is equal to 1 foot and 12 times 5 is 60 so that 5 feet plus one inch is 5 foot 1 inch
c) Which of these numbers is a square number?
A) 4 x 10^5
B) 9 x 10^4
C) 4 x 10^3
D) 9 x 10^3
Answers
Answer:
A is the correct answer
Answer:
non of them
Step-by-step explanation:
Square number should have power of 1/2 .
Hector took out a small loan of $900 for 18 months (remember to turn this into
years). The simple interest rate on the loan was 10.5%. How much will he pay in
interest on the loan?
Answers
Answer:
$141.75
Step-by-step explanation:
(900)(-105) (13/12) or 1.5
Solve the following compound inequality
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Answer:
i believe your answer is correct
Step-by-step explanation:
Looking at the problem what’s the difference between the two highlighted please I’m Russian and don’t understand English every well
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Answer: Разница между ними восемь
Step-by-step explanation:
The chemical acidity of a solution is measured in units of pH: pH=-log[H+], where [H+] is the hydrogen ion concentration in the solution. What is [H+] if the pH=8.8?
Answers
Answer:
3.5
Step-by-step explanation:
The chemical acidity of a solution is measured in units of pH: pH=-log[H+], where [H+] is the hydrogen ion concentration in the solution. 1.58 x 10⁻⁹ is [H+] if the pH=8.8.
What do you mean by pH ?The term pH is defined as the negative logarithm of the [H+] hydrogen ion.
The isolated hydrogen ion, represented by the symbol H+, hence it is used to represent a proton. Because the bare nucleus can readily combine with other particles like electrons, atoms, and molecules, the hydrogen ion.
The formula for calculating [H+] hydrogen ion is as follows:
pH = - log[H+]
Given pH = 8.8
8.8 = - log[H+]
-8.8 = log[H+]
Taking Antilogarithm Both side
Antilog of [-8.8] = [H ]
By solving above expression [H+]
= 1.58 x 10⁻⁹
Thus, 1.58 x 10⁻⁹ is [H+] if the pH=8.8.
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Solve for x
54 = 9(x+3)
Answers
Answer:
x=3
Step-by-step explanation:
54=9(x+3)
54=9x+27
27=9x
3=x
hope this helps! let me know if you have any questions abt how i solved
Please help! I don't get it cause the person that was teaching it had horrible handwriting ;-;
Answers
Answer: power of a power
Step-by-step explanation:
in the expression (x^4)^9, 4 and 9 are powers. 9 is the power of x^4, so you have to multiply 4 by 9 to get x^36. this means it's a power of a power
Aidan will roll a fair 10-sided number die showing the numbers 1 – 10.
If Aidan rolls the number die exactly 300 times, which statement is the best
prediction about the outcome?
A. Aiden should expect a multiple of 3 to be rolled 100 times.
B. Aiden should expect a 2 to be rolled 60 times.
C. Aidan should expect a multiple of 2 to be rolled 150 times.
D. Aiden should expect a 4 to be rolled 75 times.
Answers
Answer:
Aiden should expect a multiple of 2 to be rolled 150 times.
Step-by-step explanation:
300 can be divided evenly 2 times.
What’s the answer to this question ? 4.4y - 5x = -8
Answers
what do you want us to solve for? Step-by-step explanation:
7(p+q+9) pleaseee answer I need it done by today
Answers
Answer:
7p+7q+63
hope it helps.
True or False, The value pi/12 is a solution for the equation 4 cos^2(4x)-3=0
Please explain
Answers
Answer:
Yes, π/12 is a solution.
Step-by-step explanation:
Calculator --> sin(π12)=sin15∘=0.26 . √2−√32=√0.272=0.522=0.26 . Uhmm... i dont rlly know how to explain it.. its complicated for me to word it without making it non confusing.
The statement 'The value [tex]\frac{\pi}{12}[/tex] is a solution for the equation [tex]4~cos^2(4x)-3=0[/tex] ' is True.
What is an equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
For given question,
We have been given an equation [tex]4~cos^2(4x)-3=0[/tex]
We need to check whether [tex]\frac{\pi}{12}[/tex] is a solution for the equation.
Substitute [tex]x=\frac{\pi}{12}[/tex] in equation [tex]4~cos^2(4x)-3=0[/tex]
[tex]\Rightarrow 4~cos^2(4\frac{\pi}{12} )-3=0\\\\\Rightarrow 4~cos^2(\frac{\pi}{3} )-3=0\\\\\Rightarrow 4~cos^2(\frac{\sqrt{3} }{4} )-3=0\\\\\Rightarrow 4~\frac{3}{4}-3=0\\\\ \Rightarrow 3-3=0\\\\\Rightarrow 0=0[/tex]
This means, [tex]\frac{\pi}{12}[/tex] is a solution of the equation [tex]4~cos^2(4x)-3=0[/tex]
Therefore, the statement 'The value [tex]\frac{\pi}{12}[/tex] is a solution for the equation [tex]4~cos^2(4x)-3=0[/tex] ' is True.
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What is the center of the circle x² + y2 - 4 = 0?
Answers
Answer:
(0,0)
Desmos graphing calculator is a great way to enter the formula of a circle and see a visual example.
Explanation: The equation for a circle is (x - h)^2 + (y - k)^2 = r^2, where (h,k) is the vertex and r is the radius. Rearranging the given equation, we have that x^2 + y^2 = 4. Therefore, the center of the circle is (0,0), and its radius is 2.
5(-1x+5)=10 pls help
Answers
Answer:
-5x+5=10
-5x=10-5
-5x=5
x=-5/5
x=-1
Step by step
5 ( –1x + 5) = 10
(1) Distribute
= – 5x + 25 = 10
(2) Subtract 25 from both sides of the equation
= –5x + 25 -25 = 10 – 25
(3) Simplify
= –5x = – 15
(4) Divide both sides of the equation by the same factor
= –5x/–5 = –15/ –5
(5) Divide the number
= x = –15/–5
Answer: x = 3
What is 8 less than x.
Write the expression that represents this phrase
Answers
Answer:
so it is because it has
Step-by-step explanation:
a good explanation
what's $90.94 with 50% off..?
Answers
Answer:
Write 50% as a decimal number:
STEP 2: Multiply by 90.94:
Step-by-step explanation: answer is 49.47
Answer:
45.47$
Step-by-step explanation:
50% means to cut things off by half
Sheldon gets paid $4 per hour to babysit his cousin. This
weekend, he babysat on both Saturday and Sunday. He
made a total of $56. Sheldon babysat for 8 hours on
Sunday. For how many hours did he babysit on Saturday?
Let x = hours spent babysitting on Saturday. Choose the equation and
solution steps that correctly represent this problem.
Answers
Answer:
6
Step-by-step explanation:
4 times 8 = 32. 56 - 32 = 24. 24 divided by 4 = 6.
The vertices of a triangle are (3,5), (-7,4) and (10,-2) then, what are the coordinates of the point of intersection of 3 medians of triangle?
Answers
Answer:
Step-by-step explanation:
Step 1: Identify the coordinates of each vertex. Step 2: Add all the x values from the three vertices coordinates and divide by 3. Step 3: Add all the y values from the three vertices coordinates and divide by 3. Step 4: Determine the centroid coordinate.
Write the standard equation of the circle.
I’ll give brainliest!
Answers
Simon is creating the clay structure shown below. Simon has boxes of clay that each contain 200 of clay. How many boxes of clay does Simon need to open to make the sculpture? A. 3 B. 4 C. 5 D. 6
Answers
Answer:
D.6
Step-by-step explanation: