What is the volume of the composite figure? Use 3.14 for Pi. Round to the nearest hundredth.
Answers
Answer:
376.52 is the volume of the composite figure.
Step-by-step explanation:
Let's break this into two shapes.
A rectangular prism and a hemisphere
Volume Formula for rectangular prism: l • h • w
Volume Formula for hemisphere: (2/3)πr^3
l • h • w
10 • 4 • 8
40 • 8
320
Rectangular Prism: 320
(2/3)πr^3
2/3(3)^3
2/3(3.14)(27)
2.09333333333(27)
56.52
Hemisphere: 56.52
320 + 56.52 = 376.52
The volume of the composite figure is 376.52 [tex]cm^{3}[/tex].
What is volume of hemisphere?The total space occupied by a hemisphere in a 3-dimensional region is called its volume. Geometrically a hemisphere is an exact half of a sphere.
Volume of hemisphere = [tex]\frac{2}{3} \pi r^{3}[/tex]
What is volume of cuboid?The volume of the cuboid is the measure of the space occupied within a cuboid. The cuboid is a three-dimensional shape that has length, breadth, and height.
Volume of cuboid = Length × Width × Height
Given
Radius of hemisphere r = 3
Volume of hemisphere = [tex]\frac{2}{3} \pi r^{3}[/tex]
Volume of hemisphere V1= [tex]\frac{2}{3} \pi r^{3}[/tex]
= [tex]\frac{2}{3} .(3.14).(3)^{3}[/tex]
= 56.52 [tex]cm^{3}[/tex]
Volume of cuboid V2 = Length × Width × Height
= 10 × 8 × 4
= 320 [tex]cm^{3}[/tex]
The volume of the composite figure V = V1 + V2
V = 56.52 + 320
V = 376.52 [tex]cm^{3}[/tex]
Hence, the volume of the composite figure is 376.52 [tex]cm^{3}[/tex].
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Related Questions
can someone help me
2x-3y=14, 5x+4y=12
Answers
x= 4 and y= -2
The monthly payment for a car lease is $530 for 18 months. The down payment is $2,000. The residual value is $7,000. What is the total cost of the lease? A. $18,540 B. $20,540 C. $25,540
Answers
Answer:
18540
Step-by-step explanation:
18 times 530 = 9540
9540 + 2,000 + 7,000= 18540
I did 18 times 530 because it said 530 for 18 months
I would appreciate some help thankyou :)
Answers
Answer:
12 and 40
Step-by-step explanation:
You add it up! I hope this helps!! Have a great day!
Refer to the spinner. Find p ( even and not shaded )
• 1/3
•1/6
•5/6
Answers
Answer:
1/6
Step-by-step explanation:
p is even and not shaded
2 fractions are not shaded: 1/3 and 1/6
1/3 is not even, it's odd
1/6 is the only remaining answer
A landscape can buy sod at a discounted price from the local hardware store.If she can buy a length of sod on sale for $7, what is the original price of the sod if he pay 50% off original price
Answers
Answer:
$14Step-by-step explanation:
Step one:
given data
we are told that the discounted price is $7
and the applied discount is 50%
so if 50% of the original price is $7
Step two:
let the original price be x
50/100*x=7
0.5x=7
divide both sides by 0.5
x=7/0.5
x=$14
These means that the original price is $14
Ellen wants to purchase a book that is regularly priced at $18. The book is discounted 15%. She also needs to pay a 6% sales tax on the discounted price.
What is the total amount Ellen will pay for the book?
Answers
Answer:
Ellen will pay $16.22 for the book.
Step-by-step explanation:
Part 1:
We know that the book Ellen wants to buy has a normal price of $18. However, there is a 15% discount. So, let's calculate 15% of $18.
18 x 0.15 = $2.70
This lets us know that there is a $2.70 discount.
Now, let's subtract the discount from the regular price.
18 - 2.70 = $15.30
So, now we know the discounted price is $15.30
Part 2:
We also know that Ellen has to pay 6% sales tax. The discounted price is 100% of the price, plus 6% is 106%. Let's calculate the tax to figure out the total amount.
15.30 x 1.06 = $16.22 when rounded to the nearest cent.
Therefore, Ellen will pay the total amount of $16.22.
Answer:
$16.22
Step-by-step explanation:
marked price = $18 = 100%
discount = $? = 15%
selling price/ = $? = 85%
discounted price- this price is lower than the marked price as they have given you a DISCOUNT- an amount of money DEDUCTED.(a.k.a selling price)
selling price = 85% x $18 = $15.3= discounted price
100%
sales tax=6%
= 6 x 15.3 = 0.918 = $0.92=sales tax
100
total amount = discounted price + sales tax
= 15.3 + 0.92
= $16.22
is "A quotient of a number and seven" a expression or equation
Answers
Blue Skies Equipment Company uses the aging approach to estimate bad debt expense at the end of each accounting year. Credit sales occur frequently on terms n/60. The balance of each account receivable is aged on the basis of three time periods as follows: (1) not yet due, (2) up to one year past due, and (3) more than one year past due. Experience has shown that for each age group, the average loss rate on the amount of the receivable at year-end due to uncollectibility is (a) 3 percent, (b) 9 percent, and (c) 28 percent, respectively. At December 31, 2019 (end of the current accounting year), the Accounts Receivable balance was $48,700 and the Allowance for Doubtful Accounts balance was $920 (credit). In determining which accounts have been paid, the company applies collections to the oldest sales first. To simplify, only five customer accounts are used; the details of each on December 31, 2019, follow:
Answers
Answer:
hello your question is incomplete attached below is the missing table
answer = $48700
Step-by-step explanation:
Calculate the total account receivable in each age category
1) not yet due age category
= $4000 + $4000 + $7000
= $15000
2) up to 1 year age category
= $20500 + $7000
= $27500
3) more than 1 year age category
= $6200
therefore the total amount of account receivables = 15000 + 27500 + 6200 = $48700
awnser these pls for a surprize
Answers
Answer:
(6) 300+40+8+0.17 or (3*100)+(4*10)+(8*1)+(17*0.01
(7) C.
(8) $31.10
(9) -$10.64 or he lost $10.64
(10) B.
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
Add 15.438 and 3.18. And subtract that answer from 32.476.
Answers
Answer:
-13.858 !!!
Step-by-step explanation:
Which number is between 6 1/8 and 64 squared?
Select one:
a.7 1/2
b. 68 squared
c. 8.16...
d. 0.115
Answers
Answer:
Do you have a photo or picture of this question, I don't want to give you the incorrect answer because something was missing.
Eli, Freda and Geoff were given £800 to share in the ratio of their ages.
Eli is 9 years old, Freda is 13 years old and Geoff is 18 years old.
How much should they each get?
Answers
A hurricane was detected in the Atlantic around 5 a.m. The National Weather Service determined that it will make landfall at a location described by a vector with components [3, 7]. Around 6 a.m. on the same path, the hurricane is 1/10 the total distance from where it was detected initially to where it will make landfall.
If the hurricane is traveling on a straight path, what are the characteristics of the vector representing the path of the hurricane at 6 a.m.?
A) components: [0.30, 0.70], magnitude: 0.76
B) components: [0.30, 0.70], magnitude: 76
C) components: [30,70], magnitude: 0.76
D) components: [30,70], magnitude: 76
Answers
Answer:
The correct option is;
A) Components: [0.30, 0.70], magnitude: 0.76
Step-by-step explanation:
The given parameters are;
The path of the of the airplane at 5 a.m. given by The National Weather Service = [3, 7]
The location of the hurricane at 6 a.m. = 1/10 of the total distance between the point where it was detected to the point where it is predicted to make land fall
Therefore;
The components of the vector at 6.00 a.m. = 1/10 × [3, 7] = [0.3, 0.7]
The magnitude of the vector at 6.00 a. m. = √(0.3² + 0.7²) ≈ 0.76.
Is this a function? Why or why not?
Answers
Answer:
where is the digram?
Step-by-step explanation:
What does four more than one-third x
Answers
Answer:
it means 4 times 1/3x
4x/3
in a club there are 7 boys and 8 girls.write the ratio of boys to girls in 3 different ways
Answers
Answer:
8:7
8 to 7
8/7
3 ways yep
You have ¾ cup of flour for making biscuits. Each biscuit requires ⅛ cup of flour. How many biscuits can you make? *
Answers
Answer:
6
Step-by-step explanation:
I think this is correct, I did it in my head so yea.
Answer:
6
Step-by-step explanation:
to make the denominator that same multiply the whole 3/4 to get 6/8 then divide it by the 1/8 so the answer is 6
Solve for x.
-3/5x = 15
A. -25
B. -9
C. -6
D. 9
Answers
Answer: If the question is formed as (- 3/5) x = 15
then A is correct
X=-25
Step-by-step explanation:
wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink
At a local store, hot dogs come in packages of 8, and hot dog buns come in packages of 12. For her party, Arpitha purchased the minimum number of hot dog packages and bun packages that she could while making sure to have the same number of hot dogs and buns. How many hot dogs can Arpitha serve at her party? 4 24 48 96
Answers
Answer:
24
Step-by-step explanation:
Find the factors of each until you get a match.
Hot dogs 8: 8, 16, 24
Buns 12: 12, 24
24
Answer:
it is 24
Step-by-step explanation:
i just finished my Cumulative Exam Review on edge
what is 10 to the power of 4 to the power of 2
Answers
Answer:
100,000,000
Step-by-step explanation:
Multiply.
10 x 10 x 10 x 10 = 10,000
Then multiply 10,000 to the power of 2
10,000 x 10,000
The answer is 100,000,000
Hope this helped :)
Help me pleaseeee I’ll make u brianlist
Answers
Answer: 1 is d i think
2 is c i think
Step-by-step explanation:
Answer:
The answer to the first question is C (1,-2)
The answer to the second question is B (-1,3) (4,2) (5,-3) (-5,-2)
Jay O'Brian bought two magazines. One cost $3.50 more than the other. The total cost was $17.00.
Which amount did Jay pay for the lower priced magazine?
A.20.50
B.13.50
C.10.25
D.8.25
E. 6.75
Answers
Answer:
E. $6.75
Step-by-step explanation:
Answer:
E
Step-by-step explanation:
We would have to subtract the total cost to the cost that is $3.50 more than the other
We do $17.00 - $3.50, would give us $13.50,
We divide the answer by two as O'Brian bought two magazine,
this will leave us with the answer 13.50/2 = 6.75
Which statements describe the domain and range of g(x)? Select two options. The function g(x) is defined for all real numbers x. The maximum value of the range is 4. The maximum value of the domain is 3. The range of g(x) is {y| –1 < y ≤ 4}. The domain of g(x) is {x| –4 < x ≤ 3}.
Answers
Answer:
The correct two options are:
The maximum value of the range is 4.
The range of g(x) is {y| –1 < y ≤ 4}.
Step-by-step explanation:
The missing diagram is attached in the image below:
It is pertinent to understand that the domain is the set of all possible mathematical points where a given function is defined. In the diagram attached below, the domain relates to all possible values of x.
The range relates to all possible values of y.
From the graphical diagram;
The domain is (-4 ≤ x ≤ -1 and 0 ≤ x < 3); &
The range is -1 < y ≤ 4.
We could see from the graph as well that, the maximum value of the range extends from -1 to 4 which indicates that the largest possible value is 4.
Answer:
The answer is B and D
Step-by-step explanation:
Type SSS, SAS, ASA, SAA, or HL to
justify why the two larger triangles are
congruent.
Answers
Explanation: The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.
And in your triangles the hypotenuse legs are congruent (the hypotenuse is the largest side of the triangle) and the other part that is congruent is the middle leg because they are sharing that leg.
Hope this explanation helps you :D
The theorem that justifies why the two larger triangles are congruent to each other is: Hypotenuse-leg Congruence Theorem (HL).
What is the Hypotenuse-Leg Congruence Theorem?The Hypotenuse-leg Congruence Theorem (HL) states that if one leg and hypotenuse of a right triangle are congruent to one corresponding leg and hypotenuse of another, both right triangles are congruent.
The two right triangles have a pair of congruent legs and a pair of congruent hypotenuse.
Therefore, the theorem that justifies why the two larger triangles are congruent to each other is: Hypotenuse-leg Congruence Theorem (HL).
Learn more about Hypotenuse-leg Congruence Theorem (HL) on:
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Please help I don’t understand
Answers
I’m not sure
Three baseball players are playing catch. Herman is 6 meters south of Luca and 8 meters west of valentina. How far does Luca need to throw the ball to get it to Valentina
Answers
Answer:
Luca needs to throw the ball 10 meters to get to Valentina.
Step-by-step explanation:
Distance Between two Points in the Plane
Let's assume Luca is at the origin of coordinates (0,0).
Since Herman is 6 meters south of Luca, he is located at (0,-8).
We also know Herman is 8 meters west of Valentina, or equivalently, Valentina is 8 meters east of Herman. This locates Valentina at (6,-8).
If Luca wanted to throw the ball to Valentina, he would need to cover the distance between them.
Thus the problem reduces to find the distance between (0,0) and (6,-8).
Given two points A(x,y) and B(w,z), the distance between them is:
[tex]d=\sqrt{(z-y)^2+(w-x)^2}[/tex]
Applying the formula:
[tex]d=\sqrt{(-8-0)^2+(6-0)^2}[/tex]
[tex]d=\sqrt{(-8)^2+(6)^2}[/tex]
[tex]d=\sqrt{64+36}=\sqrt{100}=10[/tex]
d=10 m
Luca needs to throw the ball 10 meters to get to Valentina.
A painter mixed 2 gallons of blue paint with every 4 gallons of yellow paint in order to make green paint. Which
ratio of gallons of blue paint to gallons of yellow paint will make the same shade of green paint?
Group of answer choices
Answers
Answer:
3:2
Step-by-step explanation:
Answer:
666666666
Step-by-step explanation:
A person receives a paycheck of d dollars. The person spends 18% of the
paycheck on rent, 15% of the paycheck on insurance, and 22% of the paycheck
on food and puts the remainder of the paycheck into savings.
If the amount the person puts into savings can be
represented by the
expression d - 0.18d - 0.15d - 0.22d, which expression also represents the
amount the person puts into savings?
O 0.45d
O 0.550
O 1.450
O 1.550
Answers
Answer:
0.45d
Step-by-step explanation:
Given that :
Amount of paycheck = d
Amount spent on rent = 18%
Amount spent on insurance = 15%
Amount spent on food = 22%
Amount put into savings = d - 0.18d - 0.15d - 0.22d
Amount put into savings = d - ( 0.18d + 0.15d + 0.22d)
d - 0.55d
Amount put into savings = 0.45d
The ratio of girls to boys in a a chess club was 4 : 4. There were 24 boys. How many total members were there in the club?
Answers
Answer:
48 members
Step-by-step explanation:
Add the numbers in the ratio: 4+4=8
Divide: 24boys/4=6
Multiply: 6*8=48
Now we know there are 48 people. Take it a step forward..how many girls?
EASY!
4*6=24 girls
We know this works because 24+24=48
*Note: the 4's come from the ratio*
Please help. how do I do this??
Answers
Answer:David
Step-by-step explanation:
David saves 2:8 = 1;4 is 25%
Laura saves 3/20= 15%
Anna saves 19%