Matilda is filling a circular section of her porch with colorful pebbles. She knows the diameter of the circular section is 15ft, and each bag of pebbles covers 10ft. How many bags of pebbles will Matilda need? A. 15 bags B. 16 bags C. 17 bags D. 18 bags
Answers
Answer:
D. 18 bags
Step-by-step explanation:
Given:
Matilda is filling a circular section of her porch with colorful pebbles.
Diameter of circular section = 15 feet.
Each bag of pebbles covers 10 square feet.
Question asked:
How many bags of pebbles will Matilda need?
Solution:
Diameter of circular section = 15 feet
Radius, r =
10 square feet is covered by number of bag of pebbles = 1
1 square feet is covered by number of bag of pebbles =
176.78 square feet is covered by number of bags of pebbles =
We found up to 17 bags of pebbles there is still some place left to fill the section:-
Thus, Matilda need about 18 bags of pebbles to fill the circular section of her porch.
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A hybrid car can travel 40 miles per gallon. Approximately how many gallons of fuel will the car need to travel 20 km?A. 0.3 B(wrong. already eliminated that off) 0.8 C. 2.5 D. 3.2
Need the answer in under 5 minutes
Answers
An, ( y=5/2×0+5 ) as you know if i multiply number to zero you get zero so "x" change to the zero you get
( y=0+5 )= ( y=5 ) that is your answer
Lesson plays Measuring segments and angles
2 Serce
Grand
Try it
Door
5. Refer to the figure shown. Can the lighting
designer replace the 22 spotlight with one that
has a 33 beam angle, that can rotate 25 to the
left and right to light all of the objects on the
stage?
57
Spotlight
GECES
Google Chrome
Answers
Answer:yes
Step-by-step explanation:
Because x =24 and y=17 are both less than 25
3. The company is building a scale model of the theater’s main show tank for an investor's presentation. Each dimension will be made one sixth of the original dimension to accommodate the mock-up in the presentation room. What is the volume of the smaller mock-up tank?
Using the information from #3, answer the following question by filling in the blank: The volume of the original main show tank is ____% of the mock-up of the tank.
Answers
Answer:
1. Volume = 5128.67 ft³
The volume if sphere is given by:
V = (4/3)πr³
If the tank is cut into half vertically, then the volume of sphere becomes.
V = (4/3)πr³ / 2
If the tank is cut into half again horizontally, then the volume of the sphere becomes.
V = (4/3)πr³ / 4
Hence, as the main tank forms a quarter sphere, its Volume is given by:
V = (4/3)πr³ / 4
It is given in the question that the radius is 70 ft.
Substitute that in the given formula:
V = (4/3)π(70)³ / 4
V = 5128.67 ft³
2. Volume of tank = 461,814 ft³
Step-by-step explanation:
Congruent tanks implies that both tanks are of identifical shape, form & dimensions. Congruent means that the tanks have the same radius as well as height. Hence, the heights and radii of tanks #1 and #2 are equal and the same.
Let's list out the information given us:
radius(tank #1) = 35 ft ⇒ radius(tank #2) = 35 ft, height(tank #2) = 120 ft ⇒ height(tank #2) = 120 ft
Volume of cylinder = πr²h
The tanks have been cut into half, as such:
Volume of tank = ½πr²h
Volume of tank = Volume(tank #1) + Volume(tank #2)
Since the tanks are congruent (same dimensions), we have:
⇒ ½πr²h + ½πr²h ⇒ πr²h
Volume of tank = π * 35² * 120 = 147,000 π
Volume of tank = 461,814 ft³
3. 1047.2 ft³
Step-by-step explanation:
The following information is missing:
The main show tank has a radius of 60 feet and forms a quarter sphere where the bottom of the pool is spherical and the top of the pool is flat. (Imagine cutting a sphere in half vertically and then cutting it in half horizontally)
The only dimension needed for the main show tank is its radius. Then the model radius will be 1/6 * 60 = 10 feet
The volume of a sphere is:
V = 4/3 * π * r³
For a quarter sphere it is:
V = 4/3 * π * r³ * 1/4
V = 1/3 * π * r³
For the smaller mock-up tank:
V = 1/3 * π * 10³
V = 1047.2 ft³
Show the correct solution:
Answers
HE CAN CHECK HIS ANSWER BY PLUGGING IN HIS X VALUE, AFTER HE GETS THE CORRECT ANSWER.
SHOW THE CORRECT ANSWER:
3(3x+6) = 4(7x-1)
9x+18 = 28x-4
18 = 19x-4
22 = 19x
22/19 = x
CHECK:
3(22/19+6)/8 = 7(22/19-1)/6
45/38 = 45/38 ( Is true)
hope this helps!!
Well, first of all, the bottom 2 lines are cut off of the bottom of Max's solution,
and his final answer doesn't even appear there.
Here . . . let me complete it for you:
Under the part printed on the page should be:
19 = 19x
x = 1
=========================================
Now that Max has an answer, he can check it by writing it into the
original equation wherever there's an 'x' there.
The original: (3x-6) / 8 = (7x-1) / 6
With Max's answer written in: (3·1 - 6) / 8 = (7·1-1) / 6
Simplify the left side: (3 - 6) / 8 = (7·1-1) / 6
-3/8 = (7·1-1) / 6
Simplify the right side: -3/8 = (7-1) / 6
-3/8 = 6 / 6
-3/8 = 1
This result is not a true statement,
so 'x' can't be ' 1 '.
We have to go back, look through Max's work, and find his mistake.
(Actually, Max won't learn anything that way ... MAX should be looking through
his work to find his mistake. But life is not always fair.)
The third line of Max's solution is 3 (3x + 6) = 4 (7x - 1)
Then he goes on to clear the
parentheses, and the next line is: 9x + 18 = 28x - 1
That's where his mistake is. The left side is correct,
but on the right side, Max distributed the '4' incorrectly.
Shame on Max.
This line should be 9x + 18 = 28x - 4 .
Answers
Answer:
Slope of function A is greater than slope of function B
Step-by-step explanation:
You calculate the gradient (slope) of function B. That is, change in y divided by change in x.
Take point (0, 1) and (2, 5) from the graph of function B.
change in y = 4
change in x = 2
gradient = 2
b(x) = 2x + 1
Therefore the function B has a lesser slope than function A
Answers
Steps:
1) Divide the first number by 2 until you get to 1 (ignore decimals)
2) Multiply the second number so you have as many answers as the first
3) Cross out answers in the second column that match with an even answer in the first
4) Add the numbers that are left in the second column
Answer: 204
12 17 we cut it
6 34 we cut it with a line
3 68
1 136
..........................
12 x 7= (68+136)
12 x 7= 204