Answers
Answer:
5. 3050ft³ (rounded to 3 s.f.)
6. 4190ft³(rounded to 3 s.f.)
7. 4600ft³(rounded to 3 s.f.)
Formulas (For easier reference):
Volume of a cone: pi×r²×[tex]\frac{h}{3}[/tex]
Volume of cylinder: pi×r²×h
Volume of a sphere: [tex]\frac{4}{3}[/tex]×pi×r³
Volume of a hemisphere: [tex]\frac{2}{3}[/tex]×pi×r³
Step-by-step explanation:
You can just apply the formulas to the question:
5. Volume of cone = pi×9²×[tex]\frac{(16-10)}{3}[/tex]
= 162pi
Volume of cylinder = pi×9²×10
= 810pi
Volume of figure = 162pi+810pi
= 972pi
= 3050ft³ (rounded to 3 s.f.)
6. Volume of sphere = [tex]\frac{4}{3}[/tex]×pi×10³
= 1333[tex]\frac{1}{3}[/tex]pi
= 4190ft³(rounded to 3 s.f.)
7. Volume of hemisphere = [tex]\frac{2}{3}[/tex]×pi×(26÷2)³
= 1464[tex]\frac{2}{3}[/tex]pi
= 4600ft³(rounded to 3 s.f.)
Related Questions
Suppose that f(x)=3x+1....
Answers
Answer:
3
Step-by-step explanation:
f(x) = 3x+1
f(x+h) = 3(x+h)+1 = 3x+3h+1
f(x+h) - f(x)= 3x+3h+1-3x-1 = 3h
3h/h=3
The town of Paxton has a population of 4.81 × 104 residents. The town of Oakville has twice the number of residents than Paxton. Which values represent the number of residents for the town of Oakville? Select all the values that apply
.A.9.62 × 10^8
B.4.81 × 10^6
C.9.62 × 10 ^4
D.4.81 × 10^8
E.4,810,000
F.96,200
plz help
Answers
Answer: A,F
Step-by-step explanation:
Lee buys a parcel of land in the shape of a rectangle. It has an area of 1,125 square feet and a width of 25 feet. What is the length of the parcel of land? Show your work.
Answers
Answer:
45 feet
Step-by-step explanation:
Area of a rectangle = length × width
Area of the rectangle = 1,125 square feet
Length of the rectangle = x feet
Width of the rectangle = 25 feet.
What is the length of the parcel of land?
Area of a rectangle = length × width
1,125 = x * 25
1,125 = 25x
Divide both sides by 25
x = 1,125 / 25
= 45
x = 45 feet
The length of the parcel of land is 45 feet
A negative multiplied/divided by a negative (same signs) equals a _
positive
negative
Answers
Answer:
When you multiply two negative numbers or two positive numbers then the product is always positive. 3 times 4 equals 12. Since there is one positive and one negative number, the product is negative 12.
Step-by-step explanation:
What is the measure of \large \angle V?
Answers
Answer:
THe interior angles of any triangle equal 180
THerefore 48+87+v=180
48+87+v=180
87+v=132
v=45
Step-by-step explanation:
Write the recurring decimal 0.63as a fraction
Answers
Answer:
63/100, this can't further more simplified
Step-by-step explanation:
i hope it helped you please give me brainliest
Sandy receives a $50000 salary for working as an engineer. If Sandy spends 60% of her
salary on expenses each year, then how much money does Sandy have to spend on
expenses? Round your answer to the nearest whole number.
Answers
Answer:
Step-by-step explanation:
50,000 * 60%= 30,000
If Sandy receives a $50000 salary for working as an engineer. If Sandy spends 60% of her salary on expenses each year, then Sandy spends $30,000 on expenses.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
Given that, Engineer Sandy earns a salary of $50000 per year. If Sandy spends each year 60% of her income on expenses,
We have to find the amount Sandy has to spend on expenses,
The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.
The amount spend on the expenses is,
Expenses = 60% of the salary
Expenses =60/100 × $50000
Expenses = 30,000
Thus, if Sandy receives a $50000 salary for working as an engineer. If Sandy spends 60% of her salary on expenses each year, then Sandy spends $30,000 on expenses.
Learn more about the percentage here:
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Of the 15 students in Danielle's class, 5 went to the zoo and the rest went to the aquarium. What is the ratio of the number of students who went to the aquarium to the total number of students?
Answers
Answer:
15:20=3:4
Step-by-step explanation:
what is the answer for (8x - 5)
Answers
Answer:
-40 i think
Step-by-step explanation:
Answer:
8x-5
Step-by-step explanation:
This equation can't be further simplified.
Rewrite each linear equation in standard form. Then, state the values for A, B, and C.
0.09x-0.01y=0.39 _____
A=_______,B= _______,C= _______
Answers
Answer:
A = 9/100
B = -[1/100]
C = -[39/100]
Step-by-step explanation:
Given:
0.09x - 0.01y = 0.39
Find:
A,B,C
Computation:
Linear equation;
Ax + By + C = 0
So,
0.09x - 0.01y = 0.39
9x/100 - 1y/100 = 39/100
9x/100 - 1y/100 - 39/100= 0
So,
A = 9/100
B = -[1/100]
C = -[39/100]
I need HELPPPP!!!!! ASAPPPP
Answers
Answer:
<1 =100 (check explanation for why)
<2 = 80 (check explanation for why)
<3 = 100 (check explanation for why)
Step-by-step explanation:
You can get <1 from the given angle being a linear pair to <1, so:
180= 80+ <1
100= <1
You can get <2 from being a linear pair to <1, so:
180 = 100 + <2
80 = <2
You can get <3 from being a linear pair to <2
180 = 80 + <3
100= <3
Answer:
m<1= corresponding
m<2=vertical angle
m<3=consecutive interior angle
But i am not sure entirely.
Find the equation of the line.
Use exact numbers.
Answers
Answer:
y=-3/2x+3
Good luck:)
Select the expressions that are equivalent to 6u + U.
7u
U times 7
40 + 2u + u
3u + 4u
Answers
Answer:
7u, U times 7, and 3u + 4u.
ms.ziesenis walked 1/4 of a mile in 1/2 of an hour. use multiplication to find the unit rate
Answers
Answer:
he would walk 1 mile in 2 hours
Step-by-step explanation:
which is very slow tbh
Allie created a garden in the shape a right triangle. Which set of measurements could represent the lengths of the sides of her garden
A. 1in, 5in, and 6in
B. 3ft, 3ft, and 4ft
C. 9cm, 9cm, and 9cm
D. 6m, 8m, and 10m
Answers
Answer:
D
Step-by-step explanation:
[tex] {c}= \sqrt{ {a}^{2} + {b}^{2} } [/tex]
[tex]c = \sqrt{ {6}^{2} + {8}^{2} } [/tex]
[tex]c = \sqrt{36 + 64} [/tex]
[tex]c = \sqrt{100 } [/tex]
[tex]c = 10[/tex]
Pythagorean theorem
what is 0.16(line over six) in reduced form
Answers
Answer:
1/6
Step-by-step explanation:
hope this helps.
Question 3 OT 5
What is the simplified fractional equivalent of the terminating decimal 0.25?
A.5/2
B. 1/4
c.2/5
D. 25/100
Answers
Answer:
uhh
Step-by-step explanation:
Factor the GCF: −14y2 + 12y − 22
Answers
Answer: The answer is x(x^4+7x^3y^3–8y^4+14y).
Step-by-step explanation:
A 13-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 5 feet from the base of the building. How high up the wall does the ladder reach?
The ladder reaches ___ feet up the wall (round to the nearest humdredth)
Answers
Answer:
12
Step-by-step explanation:
6th grade math i mark as brainliest
Answers
Answer:
3x5 are factors of 75
Step-by-step explanation:
good day mate
Answer:So, the prime factors of 75 are written as 3 × 5 × 5 or 3 x 5^2, where 3 and 5 are the prime numbers.
Step-by-step explanation:Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Step 2: Write the number as a product of prime numbers.
mark as the brainliest
If ABC is congruent to DBE find x
Answers
Answer:
x=44 degrees
Step-by-step explanation:
5y-4 has to equal 81 in order for the two triangles to be congruent.
The sum of the interior angles of a triangle is always 180 degrees.
81+51=132 degrees
180-132=48
x+4=48
x=48-4
x=44 degrees
X=44 degrees
Explanation:I just did that in one of my questions in my work and I got it correct.
IGOOD LUCK AND HOPE U GET IT CORRECT ALSO :)
1. You purchase a car using a $15,000 loan with a 5% simple interest rate.
(a) Suppose you pay the loan off after 4 years. How much interest do you pay on your loan? Show your work. (10 points)
(b) Suppose you pay the loan off after 2 years. How much interest do you save by paying the loan off sooner? Show your work. ( 5 points)
Answers
Answer:
a) $3000
b) $1500
Step-by-step explanation:
a)
interest = Principal x rate as decimal x time
interest = 15,000 x 0.05 x 4
interest = 3000
b)
interest = Principal x rate as decimal x time
interest = 15,000 x 0.05 x 2
interest = 1500
you save $1500 if you pay after 2 years
The sixth root of (729x30 y 18 )?
Answers
x
30
y
18 is the 6th root
A square plot of land will be fully used for a square swimming pool with a 5 foot wide walkway around it. The area of the entire plot, including the walkway, is A square feet. Which expression gives the length of the pool?
Answers
Answer:
The expression that gives the length of the pool is [tex]\sqrt{A}[/tex] - 5
Step-by-step explanation:
Assume that the length of the pool is x feet
∵ The length of the pool is x feet
∵ The wide of the walkway around the pool is 5 feet
∴ The total length of the pool with the walkway = (x + 5) feet
∵ The area of the entire plot, including the walkway, is A square feet
∴ The area of the entire plot, including the walkway = A feet²
∵ The area of the square = (length)²
→ Substitute the length by (x + 5)
∴ The area of the entire plot, including the walkway = (x + 5)² feet²
→ Equate it by A
∴ A = (x + 5)²
→ To find x take square root for both sides
∵ [tex]\sqrt{A}[/tex] = [tex]\sqrt{(x+5)^{2}}[/tex]
→ Cancel the square root of the right side by power 2
∴ [tex]\sqrt{A}[/tex] = x + 5
→ Subtract 5 from both sides
∵ [tex]\sqrt{A}[/tex] - 5 = x + 5 - 5
∴ [tex]\sqrt{A}[/tex] - 5 = x
→ x represents the length of the pool
∴ The length of the pool is [tex]\sqrt{A}[/tex] - 5 feet
∴ The expression that gives the length of the pool is [tex]\sqrt{A}[/tex] - 5
The length of the pool will be √A-10.
What is area?Area is defined as the total space taken up by a flat surface or shape of an object.
Given that, A square plot of land will be fully used for a square swimming pool with a 5-foot wide walkway around it. The area of the entire plot, including the walkway, is A square foot.
The area of a square is side².
Let the side of the walkway be (x+10)
A = (x+10)²
√A = x+10
x = √A-10
Hence, The length of the pool will be √A-10.
Learn more about area;
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Let f(x) = 7x - 2, g(x) = -x + 4, and h(x) = -4x + 1.
Perform the indicated operation.
1. f(x) + g(x)
2. f(x) + h(x)
3. h(x) + g(x)
4. f(x) - g(x)
5. h(x) - f(x)
6. g(x) - h(x)
Answers
Explanation:
1.
f(x) + g(x)
= (7x - 2) + (-x + 4)
= 7x - 2 - x + 4
= 6x + 2
2.
f(x) + h(x)
= (7x - 2) + (-4x + 1)
= 7x - 2 - 4x + 1
= 3x - 1
3.
h(x) + g(x)
= (-4x + 1) + (-x + 4)
= -4x + 1 - x + 4
= -5x + 5
4.
f(x) - g(x)
= (7x - 2) - (-x + 4)
= 7x - 2 + x - 4
= 8x - 6
5.
h(x) - f(x)
= (-4x + 1) - (7x - 2)
= -4x + 1 - 7x + 2
= -11x + 3
6.
g(x) - h(x)
= (-x + 4) - (-4x + 1)
= -x + 4 + 4x - 1
= 3x + 3
2. Doug can row 3 1/2 miles in 1/4 hour. What
is his average speed in miles per hour?
SHOW WORK!
Answers
Answer:
14 miles
Step-by-step explanation:
He can row 3.5 miles in .25 hours.
If there are 60 mins in an hour. Take the .25 hour and times by 4 to get a whole hour.
Since 3.5 miles is for .25 hr, take the 3.5 times by 4 to get what he rows in a whole hour.
3.5*4= 14 miles.
manuel calculates the business costs and profits to produce and hiking backpacks. manuel's profit is his revenue minus his expenses.
A. Write a function to present the profit Manuel makes selling n backpacks.
B. Graph the profit function. What is a reasonable domain for this function for one year if his revenue is between $4,000 and $30,000? Is the function discrete or continuous? Explain
C. How much is his profit if he sells 43 backpacks? Explain
setup cost is $5,250 assembly cost is $54/ backpack revenue is $159/ backpack
Answers
Answer:
A. P = n × $105 - $5,250
B. Please find attached the required graph
The domain for the range ($30,000 to $4,000) = 25 < n < 189
C. The profit from selling 43 backpacks = -$735
Step-by-step explanation:
A. The given parameters are;
The setup cost = $5,250
The assembly cost = $54/backpack
The revenue = $159/backpack
Let n represent the number of backpack produced
Therefore, we have;
Profit, P = $ 159 × n - $54 × n - $5,250
P = n × ($ 159 - $54) - $5,250 = n × $105 - $5,250
P = n × $105 - $5,250
B. Please fins attached the graph of the profit function, created with Microsoft Excel
The domain for a range of revenue of $30,000 to $4,000 is given as follows;
The domain for the range ($30,000 to $4,000) = 25 < n < 189
C. The amount of profit from selling 43 bags = P(43) = 43 × $105 - $5,250 = -$735
The thrift store is selling their old DVDs. When the DVDs first came out, they sold for $19. They have now been marked down by 75%.
A stack of D V D's is shown. They are marked seventy-five percent off.
What is the discounted price of a DVD?
Enter the correct answer in the box.
Answers
Answer:
4.75
Step-by-step explanation:
original price (100%) → $19
discounted price ((100-75)%) = (25%) → 25% x $19 = $4.75
Answer:
Step-by-step explanation:
Here's what we have to do:
1. 19 x 0.75
= 14.25
2. 19 - 14.25
= 4.75
3. 4.75 + 14.25
= $19
The Discount is $4.75, and the sale price is $19.00.
This strategy is correct and you should use it. I was confused from the answer, but this strategy has gotten every question correct. I used two types of calculators to double check. I redid the equation three times. I am seriously confused. Hope this answer helped!
If this was not helpful, there are tons of special calculators on the internet. Such as the percent calculator, fraction calculator, and even markup and markdown/discount calculators.
Function f is defined by the equation f (x) = x^2.
What is f (3)
PLZ HURRY
Answers
Answer:
f(3) = 9
Step-by-step explanation:
f(x) = x^2
f(3) means "When x is 3" So, we substitute x with 3.
f(3) = 3^2
f(3) = 3 x 3 = 9
f(3) = 9
It’s almost your birthday and you are saving up to buy a car. So far, you have $300 in your account. Each month, you will deposit another $200
Answers
Answer:
300+200
Step-by-step explanation:
did not give a equation
Answer:
300 + 200x
Step-by-step explanation:
200 is the one that's changing so it has the x.