Apply the formula of each shape to determine the
volumes
What is the exact volume of the composite figure?
V=
л cm3
Answers
V (cone) = (1÷3) × (r×r×h) л cm3
3 cone = 1 cylinder (if "h" and "r" is same)
There is two cone...
1st one: (1÷3) × 3×3×5 л cm3 = 15л cm3
2nd one: (1÷3) × 3×3×8 л cm3 = 24л cm3
15 + 24 = 39л cm3
The exact volume of the composite figure is,
⇒ 122.46 cm³
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Radius of cone = 3 cm
Upper height of cone = 5 cm
Lower height of cone = 8 cm
Now, We get;
Volume of cone = πr²h / 3
Hence, For upper cone is,
⇒ V = 3.14 × 3² × 5 / 3
⇒ V = 47.1 cm³
For lower cone is,
⇒ V = 3.14 × 3² × 8 / 3
⇒ V = 75.36 cm³
Thus, The exact volume of the composite figure is,
⇒ 47.1 + 75.36
⇒ 122.46 cm³
Learn more about the mathematical expression visit:
brainly.com/question/1859113
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Answer:
Answer to A would be 147872265.5 km squared.
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Answer:
20
Step-by-step explanation:
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Answer:
525
Step-by-step explanation:
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Frank the football fanatic is the best quarterback in the league. He's better than Quincy the no-quit quarterback, randy the ridiculous runner, and even darrell the daring dodger. (you get the point...he's good!) Last season he scored 179 touchdown. This season he scored 253 touchdown. What was the percent increase in the number of touchdown Frank scored? Round to the nearest percent.
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1 feet = 12 inches
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{Proportional relationship}
Find each probability.
Answers
Answer:
5,9
Step-by-step explanation:
I think row A would be 5 and B would be 9 im sorry if im wrong
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A television set may be described in terms of the diagonal measure of it's screen.If a TV screen is 16 inched by 12 inches,what is the length of it's diagonal?
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D^2 = (15)^2 + (20)^2
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Answers
Answer:
Step-by-step explanation:
Its 0.122 Can i get my coffee now please i need to do my hw!
A gift shop sells rectangular glass dishes in different sizes. Some of the dimensions are given in the table. Fill in the missing dimensions.
Answers
Answer: 3, 4, 5, 5, 4
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3x2=18 6x?=18 (3)
3x2=6 6x?=24 (4)
3x2=6 6x?=30 (5)
4x2=8 8x?=40 (5)
4x3=12 12x?=48 (4)
Answer: 3, 4, 5, 5, 4
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A rectangular prism with a square base has a volume of 120 cubic feet. The base is 8 feet on each side. What is the height of the prism?
Answers
15feet
Step-by-step explanation: 120/8=15
pls give brainliest
I need help i have been stuck on this for a longggg timee
Answers
Answer:
A: is yes he did because he got 87.50% back off the retail price he sold it for
question B: 60%
Step-by-step explanation:
question B: 3 out of 5 is 60% so she made a 60% increase
PLease solve it as fast has you can
Answers
Answer:
\(f^{-1}\left(f(576)\right)=\boxed{576}\)
\(f^{-1}(-7)+f(-7)=\boxed{13}\)
Step-by-step explanation:
The inverse of an invertible function with the domain of all real numbers is obtained by reflecting the original function across the line y = x, which swaps the input and output values of the function. Therefore, (x, y) → (y, x).
Given table:
\(\begin{array}{lrrrrrr}\vphantom{\dfrac12}x&-7&11&-13&6&5&-9\\\cline{1-7}\vphantom{\dfrac12}f(x)&7&12&8&-7&13&5\end{array}\)
Inverse function:
\(\begin{array}{lrrrrrr}\vphantom{\dfrac12}x&7&12&8&-7&13&5\\\cline{1-7}\vphantom{\dfrac12}f^{-1}(x)&-7&11&-13&6&5&-9\end{array}\)
If we have a function f(x), the inverse function is denoted as f⁻¹(x), and it has the property that f⁻¹(f(x)) = x for all valid inputs x in the domain of f(x).
Therefore:
\(\large\boxed{f^{-1}\left(f(576)\right)=576}\)
The value of f(-7) is the value of f(x) when x = -7. Therefore, reading from the original table, f(-7) = 7.
The value of f⁻¹(-7) is the value of f⁻¹(x) when x = -7. Therefore, reading from the inverse function table, f⁻¹(-7) = 6.
Therefore:
\(\large\boxed{\begin{aligned}f^{-1}(-7)+f(-7)&=6+7\\&=13\end{aligned}}\)
An art teacher is ordering colored pencils for the new school year. The table shows the number of colored pencils per box size. Box Size Number of Colored Pencils Small 12 Medium 64 Large 100 The teacher buys 24 small boxes, 12 medium boxes, and 5 large boxes. She had to return 3 small boxes due to defects. How many colored pencils does the teacher have in all?
Answers
Answer: 1520
Step-by-step explanation:
Multiply 24 times 12
Multiply 12 times 64
Multiply 5 times 100
Add the three sums
Subtract the product of 3 times 12
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Jenna created the graph below to represent the solution to the inequality Negative 6 less-than x.
A number line going from negative 9 to positive 1. A closed circle is at negative 6. Everything to the right of the circle is shaded.
What error did she make?
She should have used an open circle at the end of the ray.
She should have pointed the arrow to the left.
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She should have ended the ray with a circle at –7.
Answers
Answer:
A
It is a less than statement which means it is less than and not equal to or more than. <
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A
Step-by-step explanation:
Answer:
The correct answer is A
c÷2 when c=26
help me, please
Answers
Answer:
the answer would be 13
Step-by-step explanation:
26/2=13
Answer:
13
Step-by-step explanation:
ita just 26 divided by 2. Hope this helps :)
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Answers
Answer:
5
Step-by-step explanation:
When multiplied we get 52,145.83413. If we count, we see that five numbers are to the right of the decimal place.
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What is the area of the rectangle?
Enter your answer as a fraction in simplest form by filling in the boxes
Answers
Answer:
The answer is 3/8ft^2
Step-by-step explanation:
Hope this helped and have a great day!
3/4=0.75
so after you have them in decimal form you can multiply them, to get 0.375.
0.375 as a fraction in simplest form is 3/8
sorry if this is wrong
Keira said that if 6 tickets are sold, there should be 2 tickets left. Is Keira correct?
Answers
According to Keira, if 6 tickets are sold, there should be 2 tickets left. However, we don't have any information about the initial number of tickets available.
If the total number of tickets initially was 8, and 6 tickets were sold, then there would indeed be 2 tickets left, supporting Keira's statement.
However, if the total number of tickets initially was less than 8, or if the statement doesn't specify the initial number of tickets, we cannot determine if Keira's statement is correct.
Therefore, without additional information, we cannot determine the accuracy of Keira's statement.
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What is the sum of the angle measures in this shape?
A) 180∘
B) 540∘
C) 720∘
D) 360∘
Answers
Answer:
B) 540
Step-by-step explanation:
To find the sum of interior angles of a polygon, we can use the following formula:
(n-2)·180, where n is the number of sides the polygon has.
In this case, this polygon has 5 sides, which makes it a pentagon.
(n-2)·180
substitute
(5-2)·180
simplify
3·180
=540
So, the total sum is 540°.
Hope this helps! :)
Answer: B) 540 degrees
Step-by-step explanation:
The formula for interior angles of a polygon is 180(n-2). N is the number of sides.
Plug the given values into the equation:
180(5-2)=180*3=540
The sum of exterior angles of any polygon is 360 degrees. This problem didn't specify, so I would assume it's talking about interior angles, so the answer would be 540 degrees.
Solve each question.
(image attached)
(19 POINTS)
Answers
1. Commissions are a form of variable-pay remuneration for services rendered or products sold. Commissions are a common way to motivate and reward salespeople. Commissions can also be designed to encourage specific sales behaviours. For example, commissions may be reduced when granting large discounts.
After plotting the data where x=area, and f(x)=the length of one side of the square, Sam determined the appropriate model to approximate the side of a square was *square root sign*x+2-1 Use the model Sam created to predict the side length of the square when the area is 14.
3
9
16
28
Answers
Answer:
3
Step-by-step explanation:
Plugging 14 into the given model equation, you get:
\(\sqrt{14+2}-1= \\\\\sqrt{16}-1=\\\\4-1=\\\\3\)
Hope this helps!
Answer:
The answer is 3
Step-by-step explanation:
4.5 multiplied by x = 81. what represents x?
Answers
18 represents x
10x4.5=45
8x4.5=36
45+36=81
Answer is 18
What is the area of the real object that the scale drawing models?
scale factor 1:5
area of scale drawing: 12 square cm
area of real object: ?
Answers
Answer:
60
Step-by-step explanation:
1×5=5
12×5=50
answer:60
Round the numbers to estimate the quotient.
29 1/5 ÷ 4 6/7
Nhich numbers should be used?
Answers
Answer:
≈ 5.8
Step-by-step explanation:
Step 1: Round the fractions
29 1/5 = 146/5 = 29.2 ≈ 29
4 6/7 = 34/7 = 4.85714 ≈ 5
Step 2: Divide
29/5 = 5.8
The answer is under
Someone help me solve this and could you explain why too?
Answers
Answer:
3.5
Step-by-step explanation:
Well its easiest to just plug in the answers and see like 2 times 3.5 is 7.
Another way is saying 7 divided by 2 is 3.5
then u check to make sure its the same for all the numbers.
Which it is because 21 divided by 6 is also 3.5 :)
Helllllpppppp!
I went to Starbucks and purchased three coffees and two cake pops with a total cost of $7 dollars. Then I
went to Einstein Bagels and purchased two coffees and four cake pops for $8 dollars. What is the price for a
single coffee and single cake pop?
x=cost of a single coffee
y= cost of a cake pop
3x+2y+7
2x+4y+8
Answers
Answer:
Step-by-step explanation:
The system of equations is:
● 3x + 2y = 7
● 2x + 4y = 8
Where x is the price of a single coffee and y is the price of a single coffee
We will solve this simultaneous equations using the graphing method:
The solutions is the intersection point of to the lines.
(Picture below)
The intersection point is (1.5,1.25)
Answer:
x = 1.5
y =1.25
Step-by-step explanation:
3x+2y=7
2x+4y=8
Multiply the first equation by -2
-2(3x+2y=7 )
-6x-4y = -14
Add this to the second equation
-6x-4y = -14
2x+4y=8
----------------
-4x = -6
Divide by -4
-4x/-4 = -6/-4
x = 1.5
Now find y
3x+2y=7
3(1.5) + 2y = 7
4.5 +2y = 7
Subtract 4.5 from each side
2y = 2.5
Divide by 2
y = 1.25
You borrow $10,000 to buy a car. The simple interest rate is 3%. You pay the loan off after 6 years. What is the total amount you paid for the loan?
Answers
Answer:
The total amount of money needed to pay off the car after 6 years would be $11,800.
Step-by-step explanation:
Write down the facts:
The car costs $10,000The interest rate is 3%And you finished paying the loan off after 6 yearsInterest = $10,000 * 0.03 * 6
This being $10,000, 3% interest rate and over 6 years.
Interest= $1800
This amount we found is the additional amount (interest) you have to pay with the $10,000. Now, to find the total amound we add the interest and $10,000.
Total amount = 10,000 + $1800
Total amount = $11,800
Therefore the total amount paid over 6 years (including the 3% interest rate) would be $11,800. I hope this helped!!!
$11800 is the answer
Please help me! I have an assignment due in an hour and I honestly need help on this.
Answers
Relationships
1,2 - Alternate Interior Angles
3,4 - Alternate Exterior Angles
6,7 - Alternate Exterior Angles
6,8 - Corresponding Angles
1,3 - Vertical Angles
2,5 - Same-Side Interior Angles
2,8 - Linear Pair
A package of 4 pairs of insulated socks costs $33.16. What is the unit price of the pairs of socks? PLEase help!!!!!!!!!!!!!!!!!!!!!1
Answers
ANSWER: $8.29 for each pair
During the month of august, Mr. Amazon received junk mail on 25 of those days. What is the relative frequency of Mr. Amazon receiving junk mail?
Answers
Answer:
1.24
Step-by-step explanation:
To find the relative frequency, divide the frequency(f) by the total number of data values (n)
31 days in August / 25 = 1.24