Unit 11: Volume & Surface Area Homework 3: Area of Composite Figures find the area of each figure. found to the nearest hundredth where necessary.
Answers
Answer: 7.5
Step-by-step explanation:
A1=1/2pir^2 A2=1/2pir^2
1/2(121pi) 1/2(16pi)
5.5 2
The area of a composite shape is the sum of the areas of its individual shapes
The area of the composite shape is 215.20 square feet.
From the figures, we have the following shapes
A semicircle with a diameter of 22 ftA semicircle with a diameter of 8 ft (i.e. 30ft - 22ft)The area (A) of a semicircle is:
[tex]\mathbf{A = \frac{\pi d^2}{8}}[/tex]
So, the area of the composite shape is:
[tex]\mathbf{A = \frac{\pi (d_1^2 + d_2^2)}{8}}[/tex]
This gives
[tex]\mathbf{A = \frac{\pi (22^2 + 8^2)}{8}}[/tex]
[tex]\mathbf{A = \frac{\pi (548)}{8}}[/tex]
[tex]\mathbf{A = 68.5\pi}[/tex]
[tex]\mathbf{A = 215.20}[/tex]
Hence, the area of the composite shape is 215.20 square feet.
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Related Questions
HELP ME DUE IN 2 HRS!
Greg Biffle won the Samsung/Radio Shack 500 NASCAR race at the Texas Motor Speedway in April 2005. His average speed was 130 miles per hour. How many feet per second is this? Round to the nearest hundredth.
Answers
Answer:
190.67 ft/sec
Step-by-step explanation:
130 mi/hr x 5280 ft/mi x 1/60 hr/min x 1/60 min/sec = 190.67 ft/sec
It makes more sense if you write these as fractions and cancel units.
Find the product? y ^4 · y ^3
Answers
Answer:
if it will help
y^7
Step-by-step explanation:
y^4+3 = y^7
help meeeeeeeeeeeeewweeeeew
Answers
Answer:
Homer is correct. ( also your teacher is pretty cool to have them on an assignment)
Step-by-step explanation:
2 negatives cancel eachother out. Negative 4 times negative 10 equals 40.
Ive been asking too many questions but Im really dmb so heres another one
Answers
Answer:
12(6)/2
B: 36
Step-by-step explanation:
72/2=36
So you take the width of the inner square and the height of the triangle. Because half of that makes the triangle
A group of 25 people are going to run a race. The top 8 finishers advance to the finals.
Answers
the function f(x) = -x^2 + 44x -384 models the daily profit in dollars that a shop makes
Answers
Susannah is buying lunch for her friends at a restaurant. The bill is $50, and she wants to
leave an 18% tip.
Answers
Answer:
she tips $9
Step-by-step explanation:
round to nearest 10 place
318
4271
18293
Answers
Answer:
318-320
4271-4270
18293-18290
Can a polygon have four sides and three angles
Answers
No a polygon only has 3 sides and 3 angles.
1. Discriminate the solutions of the following quadratic equations.
(1) [tex]x^2+5x+3+a=0[/tex]
(2) [tex]x^2+(a+b)x+ab=0[/tex]
(Please show the steps if possible)
Answers
Triangle ABC is similar to triangle DEF. Find the measure of side DE. Round your
answer to the nearest tenth if necessary.
8
B
F
31
E
Ď
13-7
D
Answers
Answer:
53.1
Step-by-step explanation:
They're equal, so 8 = 31 and 13.7 = x
8/31 = 13.7/x
31(13.7) / 8 = 53.0875
Round your answer to nearest tenth to get 53.1
The rounded length of DE is 53.1.
What is similar triangles?
Similar triangles are triangles that have the same shape, but their sizes may vary.
What is the measure of DE?The both the triangles are similar, so the side length CB will be equal to FE and the side length AB will be equal to DE. Hence, the equation formed will be,
[tex]\frac{8}{31}=\frac{13.7}{DE}[/tex]
On solving this equation, we have DE=53.0875.
Therefore, the rounded length of DE is 53.1.
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Please anyone help me on this
Answers
Can you type what it says I can't see it that well.
i cant really see the question
whats 25.28 in expanded form
Answers
Jose graphed the amount of money paid in relation to the Number of avocados bought. Which statement best describes the unit rate for the graph below?
Answers
Answer:
The Answer is C
Step-by-step explanation:
If m=7 and r = 12, what is the value of the following algebraic expression
4m + 7r-5
Answers
The difference between two numbers is 7. The sum of twice the larger number and three times the smaller number is 19.
Answers
Answer:
x= 8 y= 1
Step-by-step explanation:
First, you identify your variables:
x= larger number
y= smaller number
Second, you find your equations:
x - y = 7
2x + 3y = 19
Third, (I used the substitution method) you make "y" by itself for the 1st equation.
y = x - 7
2x + 3y = 19
Then, you plug in the 1st equation for "y" in the 2nd equation
2x + 3(x - 7) = 19
Then, you distribute and simplify.
2x + 3x - 21 = 19
5x - 21 = 19
5x = 40
x = 8
Finally, you plug in the variable you found ( x ) into one of the equations and solve,
8 - y = 7
- y = -1
y = 1
Evan purchased 6 boxes of sugar cookies, each box containing 10 snack bags and
each bag containing 12 cookies. Evan could have purchased the same amount of
cookies by buying how many family sized packs of 30 cookies each?
a. 12
b. 24
d. 72
C. 48
e. 180
Answers
Answer:
Doesn't make sense. There are 12 cookies in each box. 12 multiplied by 6 is 72 cookies. The snack bags don't count.
Step-by-step explanation:
Mrs.beck shops from the clearance rack of dresses.The stem and leaf plot represents the sale prices of dresses in Mrs.becks size.What statement is true?
F: 20 percent of the dresses cost more than $50
G:one-fifth of the dresses range in price from $30 to $40
C:Fifteen percent of the dresses cost less than $20
D:Four percent of the dresses cost $65
Answers
Answer:
The answer is F
Step-by-step explanation:
An event manager recorded the number of people in different age groups that attended a music concert.
A histogram titled Concert Audience is shown. The horizontal axis is labeled Age Group in years with bins 18 to 24, 25 to 31, 32 to 38, and 39 to 45. The vertical axis labeled Number of People with values from 0 to 120 at intervals of 20. The first bin goes to 20, the second goes to 40, the third goes to 120, and the last goes to 80.
Which data table accurately represents the data in the histogram? (5 points)
Age Group Number of People
18−24 80
25−31 120
32−38 40
39−45 20
Age Group Number of People
18−24 20
25−31 60
32−38 180
39−45 260
Age Group Number of People
18−24 260
25−31 180
32−38 60
39−45 20
Age Group Number of People
18−24 20
25−31 40
32−38 120
39−45 80
Answers
The data table that accurately represents the histogram is the last table since the information matches the one in the histogram.
How to identify the correct data table?Understand the histogram and in this case the number of people in each category. For example, from 18 to 24, there are 20 people.Compare the information to the data tablesChoose the one that matches.What is the correct data table?The correct option is the last one or:
Age Group Number of People
18−24 2025−31 4032−38 12039−45 80Because only in this one does the data match the one in the histogram.
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Joseph and Sanjay are trying to finish their math homework before their favorite TV show starts. Joseph finishes 2/3 of his problems. Sanjay finishes 5 out of 7 of his problems. Who finishes a greater fraction of his problems in time?
Joseph or Sanjay?
Answers
Explanation:
Joseph: 2/3
Sanjay: 5/7
2/3 and 5/7
14/21 and 15/21
Therefore, Sanjay is the answer.
whats the circumference?
Answers
Answer:
40.82
Step-by-step explanation:
3.14 times 13
The admission prices for a small fair are $1.50 for children and $4.00 for adults. In one day there was $5050 collected. If we know that 2100 children paid admission, find the number of adults that paid admission.
Answers
Answer: 475 adults paid admission
Step-by-step explanation:
1.50c+4a=5050 (1.50 per child and 4 per adult)
1.50(2100)+4c=5050 (2100 children times 1.5 each)
3130+4a=5050
4a=1900
a=475
What is the gross earnings for a person who has $26,480 in total sales,
$1250 in Returns and Allowances, and a rate of commission of 7%?
Answers
Answer:
$3103.6
Step-by-step explanation:
Given data
Total sales= $26,480
Returns and Allowances=$1250
Commission = 7%
Let us find the amount in commission earned
=7/100*26,480
=0.07*26480
=$1853.6
Hence the gross earnings
=1853.6+1250
=$3103.6
HELP! WILL GIVE BRANLIEST!
Answers
Answer:
x=16 would be the angle measures.
A quiz consists of 570 true or false questions. If the student guesses on each question, what is the mean number of correct answers?
Answers
Answer:
285
Step-by-step explanation:
570/2=285
true or false means theres a 1/2 possibility you guess right thats why you divide by 2
The mean number of correct answers to 570 true or false questions will be 285.
What is the expected value?In parameter estimation, the expected value is an application of the weighted sum. Informally, the expected value is the simple average of a considerable number of individually determined outcomes of a randomly picked variable.
The expected value is given below.
E(x) = np
Where n is the number of samples and p is the probability.
For the true or false, the probability of getting correct is given as,
p = 1/2
There are 570 true or false questions in a quiz. If the pupil guesses for each inquiry. Then the expected value is given as,
E = 570 x (1/2)
E = 285
The mean number of correct answers will be 285.
More about the expected value link is given below.
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What is the value of n??
Answers
9514 1404 393
Answer:
73.6°
Step-by-step explanation:
The whole is the sum of the parts:
n = 44.5° +29.1°
n = 73.6°
Answer and Step-by-step explanation:
To find the value of n, we must add the two given angles first.
Why?
We add these two angles together because we are shown that angle n encompasses both angles, meaning that the value of n must be the combination of the angles added together.
29.1 + 44.5 = n
Add.
73.6° = n
The value of n is 73.6°.
#teamtrees #PAW (Plant And Water)
Find the area of each figure. Round to the nearest tenth if necessary
Answers
Answer:
b. 869.6 ft²
Step-by-step explanation:
The figure is composed of an equilateral triangle and a trapezoid
Therefore,
Area of the figure = area of the triangle + area of the trapezoid
✔️Area of triangle = ½*a*b*Sin C
Where
a = 22 ft
b = 22 ft
C = 60° (mall angles of an equilateral triangle measures 60°)
Area = ½*22*22*Sin 60°
Area = 209.58 ft²
✔️Area of trapezoid = ½(a + b)h
a = 22 ft
b = 38 ft
h = 22 ft
Area = ½(22 + 38)22
Area = ½(60)22
Area = 960 ft²
✔️Area of the figure = 209.58 + 660 = 869.58 ≈ 869.6 ft²
Please help this is Geometry
Answers
Answer:
solution given:
volume of lower one[V1]=l×b×h=1.5×0.5×0.5=0.378m³
volume of upper one [V2]=l×b×h=1×0.5×(0.75-0.5)=
0.125m³
total volume=V1+V2=0.378m³+0.125m³=0.503m³
0.503m³ is your answer
Carmen made $192 for 12 hours of work.
At the same rate, how many hours would she have to work to make $128?
Answers
Answer:
= 12 miles per hour
Step-by-step explanation:
This is a fraction equal to
30 miles ÷ 2.5 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2.5
30 miles ÷ 2.5
2.5 hours ÷ 2.5
=
12 miles
1 hour
=
12 miles
hour
= 12 miles per hour
8
Explanation:
192 divided by 12 = 16
128 divided by 16 = 8
help please will give brainest.
Answers
Hi, you didn't add any picture or attached the info