Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi equals 3.14 in any formulas used
Answers
Answer:
Perimeter = 65.12 in
Area = 292.48 in^2
which agrees with the second answer choice
Step-by-step explanation:
The perimeter is going to be the addition of the sides of the rectangle external to the composite figure ( 12 + 16 + 12 = 40) PLUS the length of half of the circumference or radius 8 inches (which is pi * radius = 3.14 * 8 = 25.12 in)
Then the total perimeter is:
Perimeter = 40 in + 25.12 in = 65.12 in
The are is going to be the area of the rectangle (12 * 16 = 192 square inches) PLUS the area of the semicircle of radius 8 in (pi *radius^2 /2 = 100.48 square inches).
Therefore the total area is:
Area = 192 + 100.48 = 292.48 in^2
Related Questions
Solve for y: y+4 = -2(x – 6)
Answers
l hope that helps
4(y - 3) =
Use distributive property to complete the equivalent expression
Answers
Answer:
Step-by-step explanation:
4(y-3) = 4y - 4·3 = 4y - 12
The equivalent value of the expression is A = 4y - 12
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 4 ( y - 3)
On simplifying the equation , we get
A = 4 ( y - 3 )
So , the left hand side of the equation is equated to the right hand side by the value of A = 4 ( y - 3 )
Opening the parenthesis on both sides , we get
A = 4 ( y - 3 )
Using the distributive property , we get
A = 4 ( y ) - 4 ( 3 )
On further simplification , we get
A = 4y - 12
Taking the common factor as 4 , we get
A = 4 ( y - 3 ) = 4y - 12
Therefore , the value of A = 4y - 12
Hence , the expression is A = 4y - 12
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Will it cost more to rent from Company A or Company B if "Ali" rents the bounce house for 3 hours? 5 hours? 10 hours?
Answers
Answer:
3 HOURS : company A costs more
5 HOURS : Cost is the same
10 HOURS : Company B costs more
Step-by-step explanation:
Company A :
Rental fee = $100
Hourly rate = $20
Company B:
Hourly rate = $40
Cost of renting a bounce house from each company for h hours ;
Company A:
Total cost = 100 + 20h
Company B:
Total cost = 40h
If h = 3
Company A:
100 + 20(3) = $160
Company B:
40(3) = $120
FOR h = 5;
Company A:
100 + 20(5) = $200
Company B:
40(5) = $200
FOR h = 10;
Company A:
100 + 20(10) = $300
Company B:
40(10) = $400
What’s the percentage as a decimal
Answers
Answer:
0.0006
Step-by-step explanation:
Tara and Edward each painted their bedrooms. They finished in the same amount of time, Even thought Edwards bedroom is bigger. They have 4 hours to start painting the basement before dinner is ready. Who will likely paint a larger part if the basement?
Answers
Answer:Edward
Step-by-step explanation:
4x-6+x+6. But if the x was 8 what would it add up to
Answers
Answer:
40
Step-by-step explanation:
ANSWWER QUICK IM TIMED
What is the y-coordinate of point W?
On a coordinate plane, point W is 2.5 units to the right and 1.5 units down.
A. -2.5
B. -1.5
C. 1.5
D. 2.5
Answers
Answer:
-1.5
Step-by-step explanation:
the y coordinate is along the vertical axis so because the point is 1.5 units down, the y-coordinate is -1.5
Sue cut 3 pieces of ribbon. Each piece was
ot a foot long. How many feet of ribbon does she have in all? Express your answer as the sum of a whole number and the remaining fractional units. Plz help
Answers
What is the volume of the right cone shown below? 10 O A. 7577 units3 B. 100n units3 C. 1507 units3 375 units3
Answers
Answer:
168
Step-by-step explanation:
The volume of the right cone shown below is 375π units³.
What is Volume?Volume of a three dimensional shape is the space occupied by the shape.
Given is a figure of the right cone.
We jave to find the volume of the cone.
The formula to find the volume of the cone is given as,
Volume = [tex]\frac{1}{3}[/tex] π r² h
Here r is the radius of the base of the cone and h is the height of the cone.
Given, r = 10/2 = 5 and h = 45
Volume = [tex]\frac{1}{3}[/tex] π (5)² (45) = 375π units³
Hence the volume of the cone is 375π units³.
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Your question is incomplete. The complete question is as given below.
y varies directly as x. If y = 170 when x = 17, find
y when x = 18.
A) y = 100
B) y = 180
C) y = 289
D) y = 324
Answers
Lillian has set up a lemonade stand outside her house and sells small cups and large cups of lemonade. Each small cup holds 10 ounces of lemonade and each large cup hold 24 ounces of lemonade. Lillian used 580 ounces of lemonade and sold twice as many large cups as small cups. Write a system of equations that could be used to determine the number of small cups sold and the number of large cups sold. Define the variables that you use to write the system.
Answers
Answer:
580/24
Step-by-step explanation:
=24.something
Answer:
s= number of small cups sold
l= number of large cups sold
system of equations:
10s+24l = 580
l = 2s
Step-by-step explanation:
Willard Hudson took out a simple interest loan of $6,000.00 at 10 percent interest for 24 months. His monthly payment is $276.60 After 4 payments the balance is $5,082.21. He pays off the loan when the next payment is due. What is the interest? What is the final payment? How much is saved by paying the loan off early?
Answers
9514 1404 393
Answer:
a) $42.35
b) $5124.56
c) $407.44
Step-by-step explanation:
a) The interest due is that for one month on the remaining balance:
I = Prt
I = $5082.21·0.10·1/12 = $42.35
__
b) The final payment is ...
$5082.21 +42.35 = $5124.56
__
c) Had Hudson continued paying, he would have paid ...
20·$276.60 = $5532.00
So, he saved ...
$5232.00 -5124.56 = $407.44
1. In a 30-60-90 triangle, the length of the hypotenuse is 6. What is the length of the shortest side?
A2
B3
C [tex]3\sqrt{2}[/tex]
D[tex]3\sqrt{3}[/tex]
F[tex]6\sqrt{2}[/tex]
Answers
Answer:
i think it’s b
Write a line equation in slope-inercept form. (8,4) (-1,-5)
Answers
Answer:
y=1x-4
Step-by-step explanation:
What is the common factor in the expression 5ײ+20×+30?
Answers
Answer:
2t-6
Step-by-step explanation:
<3333333333333333333333
Answers
9514 1404 393
Answer:
55
Step-by-step explanation:
Maybe you want to know the value of x.
The sum of angles in a triangle is 180°. When one of those angles is 90°, as in this right triangle, then the sum of the other two is 90°. That means x° is complementary to 35°.
x° = 90° -35°
x = 55
Rewrite the inequality:
a ≥ 9
Answers
Calculate the length of the unknown side of the right-angled triangle
I will mark brainliest if you give me the answer
Answers
Answer:
17
Step-by-step explanation:
Shape: Isosceles Right Triangle.
Isosceles Right Triangles always have two sides of equal length. In this case, the sides of equal length include 17 and 17. The third side (9) would refer to the base, so it would not count.
Also, if you turn the shape sideways, you can see that the unknown side would be 17.
Hope this helps!
Solve the equation
-2p - 4= 2
Answers
Answer: i believe it is p = -3
Step-by-step explanation:
-2p-4=2
+4 +4
-2p=6
-2 -2
p=-3
please help me with this 100 points
Answers
Answer:
2m + 153.5
Step-by-step explanation:
Hey there
2m = The word times means multiplication. So, multiply 2 and m.
153.5 = The phrase more than means addition. So, add 2m and 153.5.
hope it helped
Answer:
why would you lie about giving the points-
Step-by-step explanation:
Evaluate the expression when b=9 .
24/9 + 8 =
Answer:
Answers
Answer:
Exact Form:
32 /3
Decimal Form:
10. 6
Mixed Number Form:
10
2 /3
Step-by-step explanation:
What would the graph look like for ^
Answers
Answer: The correct option is the first one.
Step-by-step explanation:
Let's define how to interpret each symbol:
x < a (x is strictly smaller than a, we graph this with an open circle at a, and an arrow to the left of a)
x > a (x is strictly larger than a, we graph this with an open circle at a, and an arrow to the right of a)
x ≥ a (x is larger than or equal to a, we graph this with a closed circle at a, and an arrow to the right of a)
x ≤ a (x is smaller than or equal to a, we graph this with a closed circle at a, and an arrow to the left of a)
In this case, we have the inequality:
x ≤ 15
Then to graph this we need a closed circle at 15, and an arrow to the left. The correct option is the first one.
Can you guys help me with these to questions whoever answers this correct gets marked brainliest I need it before 6:00 pm please help
Answers
Answer:
if you are doing the absolute value.....
7.) since 17 -16 is 1. l1l is 1
11.) since l-101l is a negative that absolute value is 101
the absolute value is the distance from 0
What is the area of a triangle with a
base of 10 cm and a height of 40 cm?
Answers
Answer:
A=200cm²
Step-by-step explanation:
Answer:
200 cm^2
Step-by-step explanation:
Let us start with the formula for the area of a triangle:
[tex]\triangle Area=\frac{base\ *\ height }{2}[/tex]
In the problem, we are actually given both the base, and the height. Let us plug in these values into the equation above to solve for the area. We have a base of 10 cm, and a height of 40 cm.
[tex]\triangle Area= \frac{10*40}{2} \\\triangle Area= \frac{400}{2} \\\triangle Area= 200[/tex]
Therefore, the area of the triangle is 200 cm^2.
I hope this helps! Please let me know if you have any further questions :)
5.28 + 2.4 + what equals to 7.32
Answers
Answer:
5.28+2.4=7.68
is right answer
Enter the value of z that makes the given equation true.
11.Z = 121
Answers
Answer:
Z=11
Step-by-step explanation:
11Z=121
Z=121/11
Z=11
Nerissa has 5 pink bows 1 blue bow and 4 purple bows in a box. She will randomly choose 1 bow from the box. What is the probability Nerissa will choose a purple bow
A. 1/2
B. 2/5
C. 1/10
D. 3/5
I’ll mark brainliest
Answers
Answer: The probability is 2/5.
Step-by-step explanation: If there are 5 pink bows, 1 blue bow, and 4 purple bows, there are a total of 10 bows in the box. The probability of choosing a purple one is 4/10 (since there are 4 purple bows). 4/10 simplifies to 2/5.
The probability Nerissa will choose a purple bow is [tex]\frac{2}{5}[/tex].
Here Nerissa has 5 pink bows, 1 blue bow and 4 purple bows in a box.
She will randomly choose 1 box from the box.
What is Probability?
The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.
Now,
Total number of bows = 5 + 1 + 4 =10
Number of purple bow = 4
Probability to choose purple bow = [tex]\frac{Total number of purple bow}{Total number of bow }[/tex]
= [tex]\frac{4}{10}[/tex]
=[tex]\frac{2}{5}[/tex]
So, probability to choose purple bow is 2/5.
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ANSWER THIS IN SIMPLEST FORM! GIVING OUT BRAINLIEST TO WHOEVER HELPS ME WITH THIS, TYSM!!! ❤️ 50 POINTS
Answers
20/25 , simplify by 5
2. 2/3
16/24, simplify by 8
3. 2/3
8/12, simplify by 4
4. 2/5
4/10, simplify by 2
5. 5/12, cannot simplify
6. 11/28, cannot simplify
Help plz:)))I’ll mark u Brainliest
Answers
Answer: 3
Step-by-step explanation:
Can someone help me? I don’t know how to solve it. Thank you!
Answers
Answer:
C. 5x^2 - 8x + 13
Step-by-step explanation: