Answer:
it will take 96 truckload trips to move the entire pile of dirt.
Step-by-step explanation:
The formula for the volume of a cone of height h and radius r is
V = πr²h. Here, the radius, r, is half the given diameter, or r = d/2, or r = (8 yds)/2, or 4 yds, and the height is 12 yds. Thus, in this case, the volume of the conical pile of dirt is
V = π(4 yd)²·12 yd, or
V = 3.14(16 yd²)(12 yd), or
V = 602.88 yd³
If each truck holds 6.28 yd³ and we want to know how many truckloads the company needs in order to move the conical pile, we divide the above volume (V) by 6.28 yd³:
V 602.88 yd³
------------- = --------------------------------------- = 96
6.28 yd³ (6.28 yd³ per truckload)
We interpret this to mean that it will take 96 truckload trips to move the entire pile of dirt.
The number of truckloads the company will need is A = 32 truckloads
What is a Cone?A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the center of base) called the apex or vertex.
The volume of a cone is given by the equation
Volume of Cone = ( 1/3 ) πr²h
where r is the radius of the cone
h is the height of the cone
Surface area of the cone = πr ( l + r )
where l = √ ( b² + r² )
Given data ,
The first step is to find the volume of the pile of dirt using the formula for the volume of a cone: V = ( 1/3 ) πr²h, where r is the radius of the base and h is the height.
The height of the cone is given as 12 yards, and the diameter of the base is 8 yards, so the radius is half of that, or 4 yards. Plugging in these values, we get:
V = (1/3)π (4 yards)² (12 yards)
V ≈ 201.06 yards³
Next, we need to find out how many truckloads the company will need.
We know that each truck can hold 6.28 cubic yards of dirt, so we can divide the total volume of dirt by the volume of one truckload to find the number of truckloads needed:
201.06 cubic yards / 6.28 cubic yards/truckload ≈ 31.99 truckloads
Since the company can't order a fractional number of truckloads, they will need to round up to the nearest whole number.
Hence , the company will need 32 truckloads to move the pile of dirt
To learn more about cone click :
https://brainly.com/question/1984638
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A small theater had 6 rows of 23 chairs each. An extra 8 chairs have just been brought in. How many chairs are in the theater now?
Answer:
146
Step-by-step explanation:
6 * 23 = 138
138 + 8 = 146
Answer:
146
Step-by-step explanation:
6x23 = 138
138+8= 148
find a rational number between 3 and 4
Answer:
3.1, 3.2, 3.3
Step-by-step explanation:
There are infinite options but a rational number is a fraction, decimal, or repeating decimal.
3 [tex]\frac{1}{3}[/tex] is an example of a fraction between 3 and 4
3.2 is an example of a decimal between 3 and 4
3.3333333... is an example of a repeating decimal between 3 and 4
Answer: 3.2526252625...
Explanation: The number above would be a rational number because it's a repeating decimal. Notice that in the decimal above, 2526 is a group of repeating digits and repeating decimals are rational.
Which of the following values is the solution to the equation
-35x = -105 ?
1.)3
2.)-3
3.)-1/3
4.)1/3
Answer:
1.) 3
Step-by-step explanation:
Divide each side by -35. Whatever you do to one side of the equation, you must do to the other side.
[tex]\frac{-35x}{-35}[/tex] = [tex]\frac{-105}{-35}[/tex]
X = 3
An arc subtends a central angle measuring \dfrac{3\pi}{5} 5 3π start fraction, 3, pi, divided by, 5, end fraction radians. What fraction of the circumference is this arc?
Answer:
[tex]\dfrac{3}{10}[/tex]
Step-by-step explanation:
Length of an arc[tex]=\dfrac{\theta}{2\pi}X 2\pi r=\theta r[/tex]
If the central angle of the arc is [tex]\dfrac{3\pi}{5}[/tex]
Length of an arc[tex]=\dfrac{3\pi r}{5}[/tex]
Therefore:
Ratio of the length of the arc to the circumference
[tex]=\dfrac{3\pi r}{5}:2\pi r\\=\dfrac{3\pi r}{5*2\pi r}\\=\dfrac{3}{10}[/tex]
Therefore, the arc is [tex]\dfrac{3}{10}[/tex] of the circumference is this arc.
Answer: 3 /10
Step-by-step explanation: Khan Academy
Alex is drawing rectangles with different areas on a centimeter grid . He can draw 3 different rectangles with an area of 12cm squared how many different rectangles could Alex draw with an area of 11 cm squared give a reason for your anwser please i need help please anwser this quikly.
Answer:
Number of rectangles could alex draw with an area of 11cm² = 1
Step-by-step explanation:
Minimum length in centimeter grid = 1 cm
Alex is drawing rectangles with different areas on a centimetre grid.He can draw 3 different rectangles with an area of 12cm²
That is
[tex]12 = 1 \times12\\\\12=2\times6\\\\12=3 \times4[/tex]
These are the 3 different rectangles with an area of 12cm².
Now we need to find how many rectangles could alex draw with an area of 11cm².
11 = 1 x 11
So only one factorization is possible.
Number of rectangles could alex draw with an area of 11cm² = 1
Answer:
Alex can only drawn 1 rectangle with an area of 11 cm²
Step-by-step explanation:
When Area = 12 cm², Alex could draw 3 rectangles.
This is because, Area of a rectangle = Length * Breadth
and the factors of 12 are 1, 2, 3, 4, 6, and 12.
The 3 triangle formed can be gotten from the correct combinations of these factors, which are 12 × 1, 2 × 6, 3 × 4.
All of these three combinations give us an area of 12 cm²
Similarly when Area = 11 cm², 11 is a prime number and its factors are 1 and 11.
The only combination that can be made from these factors is 11 × 1.
This means that only one rectangle can be drawn
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answer:
14.13
Step-by-step explanation:
Step 1) Find the total area
A = pi x r^2
A = pi x 3^2
A = 9pi
Step 2) Divide the total area by 4
9pi / 4 = 2.25pi
2.25pi = 7.07
A = 7.07 square feet
Hope this helps! :)
Determine what type of model best fits the given situation:
The membership of the local PTA increases by 3 members a day for each day during the month of September.
A. exponential
B. quadratic
C. none of these
D. linear
PLSSSSSS HELPPPP MEEE WITHH THISS QUESTION ASAP NO GUESSING AND ANSWER CORRECTLY!!!!!!
Which of the following can be used to describe the crowds who attended Jackson's inauguration ceremony?
A. very crowded
B. violent
C. rowdy
D. not crowded
WILL BE MARKING BRAINIEST!!!!! SO PLEASEE SHOW, EXPLAIN, AND PUT EFFORT PLSSSSSSS!!!!!!
Answer:
A
Step-by-step explanation:
Answer: C-rowdy
- Rowdy is being noisy and the question is asking you to describe Jackson's crowds who attended the ceremony.
An amusement park ride is made up of a large circular frame that holds 50 riders. The
circumference of the frame is about 138 ft. What is the diameter of the ride? Round to the nearest
tenth.
Help Please
Answer:
The diameter of the ride is 44 feets.
Step-by-step explanation:
We have,
The circumference of the frame is about 138 ft.
It is required to find the diameter of the ride.
The circumference of means that the outer covering of the circle. It is given by the formula as follows:
[tex]C=2\pi r[/tex]
r is radius
Since, 2r = d, diameter of circle
[tex]C=d\pi \\\\d=\dfrac{C}{\pi}\\\\d=\dfrac{138}{3.14}\\\\d=43.94\ ft[/tex]
or
d = 44 feets
So, the diameter of the ride is 44 feets.
what is the measure of angle WZY in the given figure?
a.)25°
b.)40°
c.)60°
d.)70°
please help asap!!!!!!!!!!!!!
Answer:
I'm also trying to figure this out, but I know that the answer isn't 40.
Step-by-step explanation:
Answer:
B. 25 degrees
Step-by-step explanation:
Sean is travelling. He has a flight of 4 hours 50 minutes, a stopover of 40 minutes and then another flight of 2.5 hours. What is his total travel time? Give your answer in hours and minutes.
Answer:
8 hours
Step-by-step explanation:
Convert all the hours to minutes, then convert back at the end.
Ivy randomly surveys students in her school to learn about mobile phone password use. Of 25 respondents, 14 use a password. Based on Ivy’s data, how many of the 275 students in her school would be expected to use a password?
Answer:154
Step-by-step explanation:
14/ 25 = x/275
multiply 14* 275 then divide by 25 to get 154
Answer:
168
Step-by-step explanation:
If 14/25 have passwords, and there are 275 students in her school, then the equation should be 275/25=12, 12*14=168
khan academy help please!
Answer:
4 to 7
Step-by-step explanation:
d and q go in to a frasesal angle langatuide.
Use the distributive property to write a new expression that is equivalent to this expression. 8 (-x -(1/2)
Answer:
-8x-4 is the answer using distributive property.
Answer:
-8x -4
Step-by-step explanation:
8 (-x -(1/2))
Distribute
-8*x + 8*-1/2
-8x -4
if a number is randomly chosen from the following list what is the probability that the number is a multiple of 5?
{32, 49, 55, 30, 56, 28, 50, 40, 40, 45, 25}
Answer:
7/11
Step-by-step explanation:
There are 11 numbers with only 7 numbers with a multiple of 5.
Answer:
7/11
Step-by-step explanation:
first, you must determine which numbers are multiples of five. multiples of five are numbers 5 or greater that end in 0 or 5. for example, 5,10,15,20,25... . from this list, you can tell that 7 of these numbers are multiples of 5 : 55,30,50,40,40,45,25 . Next, you count the total amount of numbers. there are 11 numbers in the list. so, the probability of randomly choosing a multiple of 5 is 7/11 :)
Consider the following ratios and state that whether these ratios forms a proportion?
Case1 - 20 friends to 15 strangers
Case 2 - 4 friends to 3 strangers
A.Yes
B.No
Part B
Find the ratio of the number of friends in Case 1 to the number of friends in Case 2.
Answer: ____________
Note: Type the answer as shown. Ex: (3:8)
Answer:
Prt A- Yes
Part B- 5:1
Step-by-step explanation:
The ratios in cases 1 and 2 form a proportion. This can be seen by dividing case a by 5 which gives 4:3;
i.e 20:15 = 20
15
If you divide both numerator and denominator by 5, we have 4/3.
This shows that case 1 and 2 have the same proportions of friends to strangers.
Part B.
The number of friends in case 1 is 20 while in case 2 is 4.
we have, 20:4
= 20
4
Dividing each by 4, we have 5:1.
This means that the ratio of friends that in case 1 to case 2 is 5:1.
cheers
helppp plzzz idk I need help
Answer:
The correct answer is y.
Step-by-step explanation:
hope it works out !!
What is the difference?
O número complexo 3−2
4−3 equivale a um número real.
O valor real de é:
(A) 8
9
.
(B) 9
8
.
(C) 3
4
.
(D) 4
3
.
(E) − 9
8
Answer:
ASDASD
Step-by-step explanation:
what is the area of a shape
Answer:
It depends on what shape your talking about, like: a rectangle - Length multiplied by Width
Step-by-step explanation:
Hope this helped, plz mark as brainiest :)
The fifth term of an arithmetic sequence is 96. Which rule could define the sequence
An=5n+96
An=6n+18
An=18n+6
An=96n+5
Answer:
IT'S C
Step-by-step explanation:
mark brainliest !
Answer:
c
Step-by-step explanation:
I WILL VOTE FOR THE BRAINLIEST, I AM GIVING OUT A LOT OF POINT SO PLEASE HELP.
The base of a right triangle is 13 less than 2 times the height. The area of the triangle is 12 square cm. What is the height of the triangle in cm? *
Answer:
4 cm
Step-by-step explanation:
Base 6 cm
Area 12 cm²
Formula:
h_b = 2 A/b
Please help me in the question Below.
Am new to this chapter and I don't understand it too well.
Please help me
Answer:
x is 60°
y is 30°
(would really, reallly appreciate the brainliest)
Step-by-step explanation:
x can be seen as what's needed to do a full 180 ° turn when you already turned 120°
y is 60° bc the sum of all tree angles of a triangle is always 180°
90° are given with the little square, 60 by the similar reasoning as above
Answer:
Step-by-step explanation:
L an M are parallel & P is transversal.
So, 120, x are co-interior angles, ie 180
x +120 = 180
x = 180 - 120
x = 60
The angle vertically opposite to x, will have the same value of x.
Vertically opposite angles are equal
In triangle, sum of angles = 180
60 + 90 + y = 180
150 + y =180
y =180 - 150
y =30
What is the solution to the system X-3y=-9 and -3x+9y=12
Answer:
Step-by-step explanation:
hello : x-3y=-9 ...(*)
-3x+9y=12...(**)
divided (**) by 3 : -x+3y =4 ...(**)
add(*) and(**) : 0=4 ..(false)
no reals solutions
A game board has a spinner with 10 equal-sized sections, of which 4 are green, 3 are blue, 2 are yellow, and 1 is red. What is the sum of the probabilities of the pointer landing in the green, blue, yellow, and red sections? Explain.
fill in the table of values for y=2-x
X/ -3 0 5
Y
Answer:
I put in y = 2-x. I believe that was the equation you asked a table for. If it is another equation please tell me or just download or look up Desmos. Desmos helps create graphs and tables. I hope this helps. Have a great rest of your day!
how can you determine the x value whether it is in the domain of h
Answer:
Well, because this is a khan academy question i guess ill be safe to answer it.
0 is in the domain
4 is in the domain
5 is NOT in the domain.
Step-by-step explanation:
If you plug in 5, you are left with
[tex]\frac{4}{5 - 5}[/tex] = [tex]\frac{4}{0}[/tex] = undefined
However, if you plug in any other value in that list, you are left with a number.
Remember, it isn't in the domain if the number is imaginary (like square root of a negative number) or the answer results in an undefined :)
At Store C, Sam's total purchase came to $16.50 before the discount. After
the discount, he paid with a $20-bill and received $4.82 in changé. Part A What was the mystery discount rate?
Answer: IDK
Step-by-step explanation:4+4+4+4+4+4+4
PLEASE HELP WILL GIVE BRAINILEST
Look at the figure below:
Make a two-column proof showing statements and reasons to prove that triangle PRQ is similar to triangle PQS.
Answer:
I think it was easy.
What is the sum of (2.14x+3.7)+(5+4.9x)?
a. -7.0x+8.7
b.-2.8x+8.7
c.2.8x+8.7
d.7.0x+8.7
Answer:
D)
Step-by-step explanation: