The exact volume of the cylinder with a 10 ft diameter and 8 ft height is found using the formula V = πr²h. With a diameter of 10 ft, the radius is 5 ft. The calculated volume is 628.318 cubic feet.
Explanation:To find the exact volume of a cylinder with a diameter of 10 ft and a height of 8 ft, we can use the following formula:
V = πr²h
Where V is the volume, r is the radius of the cylinder (half of the diameter), h is the height, and π (pi) is approximately 3.14159. Since the diameter is given as 10 ft, the radius will be 5 ft (half of the diameter).
Substituting our values into the formula gives us:
V = π × (5 ft)² × 8 ft
V = 3.14159 × 25 ft² × 8 ft
V = 3.14159 × 200 ft³
V = 628.318 ft³
Therefore, the exact volume of the cylinder is 628.318 cubic feet.
13>3+2x
aanswer plz !
Hope this will help u...:)
Sonjia bought a combination lock that opens with a 4-digit number created with the numbers 0 through 9. The same digit cannot be used more than once in the combination. If Sonjia wants the last digit to be 7 and the order of the digits matters, how many ways can the remaining digits be chosen?
a
84
b
504
c
60,480
d
3,024
Answer:
b. 504
Step-by-step explanation:
In this case, we have to apply the permutation formula, since the order is important and it cannot be repeated. The formula is as follows:
nPr = n! / (n-r)!
From 0 to 9, there are 10 digits, but we must remember that the number 7 has already been used and cannot be repeated, therefore n = 9. And they are 4 digits but only 3 are needed, therefore r = 3.
Replacing:
9P3 = 9! / (9-3)!
nPr = 504
Therefore the answer is b.
Mr. Hopkins has a 1-meter wire he is using to make clocks. Each fourth meter is marked off and
divided into 5 smaller equal lengths. If Mr. Hopkins bends the wire at - meter, what fraction of the
smaller marks is that?
Answer: fraction = 1/20 or 0.05
Step-by-step explanation:
Let's first convert metre to centimeter
1 metre = 100 centimeters
Given that Each fourth meter is marked off and divided into 5 smaller equal lengths. This means:
1/4 × 100 = 25
Then divide 25 into 5 places
25/5 = 5cm
If Mr. Hopkins bends the wire at - meter, what fraction of the smaller marks is that?
The fraction = 5/100 = 1/ 20 or 0.05
Please answer this question
Answer:
One of these numbers is a cube number which means that it could be 1,8, or 27 because those are the first three cube numbers.
If you go with one then you have to find two more numbers that add up to 35 and are a factor of 20, which is not possible.
Then you use 8, which means you have to find two numbers that add up to 26, and are factors of 20, which could be nothing, there aren't any.
Last you do 27 which means you need to find two numbers that add up to 9 and are factors of 27, which can be 4 and 5, because 4+5=9 and 4*5=20.
27,4,5
Hope this helps ;)
3x + 14 = 3,,,,,,,,,,,,
Answer:
-11/3
Step-by-step explanation:
The top of a pie container is a circle. The radius of the pie is 8 inches and the radius of the container is 9 inches. What is the difference between the circumference of the container and the circumference of the pie in inches to the nearest tenth?
The difference of the circumference of the pie container and pie is 6.3 inches.
Step-by-step explanation:
Given,
The radius of the pie container (R) = 9 in
The radius of the pie (r) = 8 in
To find the difference of the circumference of the pie container and pie.
Formula
The circumference of a circle = 2πr
Now,
The circumference of the pie container = 2×π×9 = 18π in
The circumference of the pie = 2×π×8 = 16π in
Hence,
The difference = 18π-16π = 2π = 6.28 = 6.3 inches (approx)
Help please and thankyou <3
The answer is D, because -2/3/2 = -4/3.
Answer:
the answer is D
Step-by-step explanation:
-2/ 3/2
= -2 × 2/3
= -4/3
The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?
0 32/3pi cm
O 8picm
o 64/3pi cm
O 16pi cm
Answer:8picm3
Step-by-step explanation:
What is 25% of what number is 13?
Answer:
52
Step-by-step explanation:
Of means multiply and is means equals
25% * W = 13
Changing to decimal form
.25W =13
Divide each side by .25
.25W/.25 = 13/.25
W =52
What is the radius of the circle without the equation to solve it?
Answer:
radious 7
diameter 14
Step-by-step explanation:
Final answer:
The radius of a circle can be found using the formula r = C/(2π), where r is the radius and C is the circumference of the circle.
Explanation:
The radius of a circle can be found using the formula r = C/(2π), where r is the radius and C is the circumference of the circle. Since the value of π is approximately 3.14159, you can divide the circumference of the circle by 2π to find the radius.
For example, if the circumference of the circle is 10 units, the radius would be 10/(2π) units.
Remember to use the appropriate units for both the circumference and the radius.
In this picture b, d, and f are midpoints. Ac=50 ce=60 and bd=35. What is bf
Answer:
BF = 30
Step-by-step explanation:
Since B and F are midpoints of AC and AE then BF is a midsegment and is one half the measure of the third side CE, thus
BF = 0.5 × 60 = 30
The value of BF will be, 30 units.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In this picture;
B, D, and F are midpoints.
And, AC = 50, CE = 60 and BD = 35.
Here, C is midpoint of CE.
Hence, We get;
⇒ CD = 1/2 × 60
= 30
Here, The length of BF is equal to the length of CD.
Hence, The value of BF = 30 units.
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ5
please help me answer this!!
Answer:
Step-by-step explanation:
purple goes to the first
green goes to the third
teal goes to the last
orange goes to second
A car wash detailed 148 cars in 4 hours. At what rate did the car wash detail cars in cars per hour?
A. 38 cars per hour
B. 36 cars per hour
C. 35 cars per hour
D. 37 cars per hour
Answer:
D) 37 cars/hour
Step-by-step explanation:
148/4=37
At the toy store for cars cost $3.28 how much does it cost to buy 30 toy cars
Answer:
98.4
Step-by-step explanation:
Multiply 3.28 by 30
Answer:
$98.40
Step-by-step explanation:
3.28x30=98.4
Two classmates got together over the weekend to do their assigned History reading. Savannah can read 1 page per minute, while Liam can read 3 pages per minute. When they met, Savannah had already read 62 pages, and Liam had already gotten through 2 pages. After a while, they both read the same number of pages. How many pages had each one read? How long did that take?
Answer:
The had read the books for 12 minutes.
Step-by-step explanation:
Let the number of minutes be x.
Tess = 51 + 1x
Ronald = 15 + 4x
When both read the same number of pages :
51 + 1x = 15 + 4x
3x = 36
x = 12
A line segment has an endpoint at (3, 2). If the midpoint of the line segment is (6, -2), what are the coordinates of the point at the other end of the line segment?
Answer:
(9,-6)
Step-by-step explanation:
The difference between the x coordinates (3 and 6) is 3 and the y coordinates (2 and -2) is -4, so the differences need to be the same from the midpoint to the other point.
6+3=9
-2+(-4)=-6
So the coordinates are (9,-6)
what does two plus two
Answer: 4
Step-by-step explanation: and then 4 plus 4 equals 8 :)
Answer: it's four
2+2=4
juan needs to measure 6 cups of flour for a recipe.he only has a 1/4 cup measuring cup.how many times must he fill the measuring cup to get 6 cups of flour
Answer:
Juan would need to fill up the 1/4 measuring cup 24 times.
Step-by-step explanation:
So to measure one cup of flour with a 1/4 measuring cup, you would need to fill up the 1/4 measuring cup 4 times. Since we want 6 cups, you would need to fill up the 1/4 measuring cup 24 times. 6 times 4 = 24. Hope this helps!
Juan would need to use his 1/4 cup measuring cup 24 times to get a total of 6 cups of flour. This is solved by multiplying the number of quarters (4) in a cup with the total cups Juan needs (6).
Explanation:In order to understand the problem, we need to consider that each cup contains 4 quarters. So, if 1 cup equals 4 quarters, then 6 cups, the amount Juan needs for his recipe, would be 6 multiplied by 4, which is 24. Therefore, Juan would need to fill his 1/4 cup measuring cup 24 times to get a total of 6 cups of flour.
This is a problem of mathematics, precisely about ratios and proportions, commonly taught in middle school.
Learn more about Ratios and Proportions here:https://brainly.com/question/26974513
#SPJ3
What is the value of y in this simplified expression?
11^-4/11^-8=11^y
a.-12
b.2
c.4
d.32
Answer:
choice C. y = 4
Step-by-step explanation:
Simplify 11^-4 / 11^-8
= 11^(-4 - (-8) ) = 11^(-4+8) = 11^4
so
11^4 = 11^y
means y = 4
The Lewis family is building a circular swimming pool if the radius of the pool is 9 feet what is it’s circumference use TT =3.14 to solve
51.62
56.52
61.52
66.42
Answer:
C =56.52 ft
Step-by-step explanation:
The circumference is found by
C = 2*pi*r where r is the radius
C = 2*3.14 * 9
C =56.52 ft
Marissa can plant 10 seeds in 15 hour. She divides to find the number of seeds she can plant per hour, but she makes a mistake. Three of these reasons explain why her answer must be wrong. Which does NOT?
Answer:
you can not plant 1 and a half of a seed
Step-by-step explanation:
Answer: the answer is the answer cannot be a whole number
Step-by-step explanation:
your welcome
Find the answer please
Answer:
12.57
Step-by-step explanation:
(╯°□°)╯︵ ┻━┻ ᶠᴸᴵᴾ ᵀᴴᴬᵀ ᵀᴬᴮᴸᴱ.
┻━┻ ︵ ヽ(°□°ヽ) ᶠᴸᴵᴾ ᵀᴴᴵˢ ᵀᴬᴮᴸᴱ.
┻━┻ ︵ ＼(`0`)/／ ︵ ┻━┻ ᶠᴸᴵᴾ ᴬᴸᴸ ᵀᴴᴱ ᵀᴬᴮᴸᴱˢ
ಠ_ಠ ᶜᴴᴵᴸᴰ. . .
ಠ_ಠ ᴾᵁᵀ.
ಠ__ಠ ᵀᴴᴱ ᵀᴬᴮᴸᴱˢ.
ಠ___ಠ ᴮᴬᶜᴷ.
(╮°-°)╮┳━┳
(╯°□°)╯︵ ┻━┻ ᴺᴱᵛᴱᴿ
(•_•)
<) )╯ᴮᴱᶜᴬᵁˢᴱ ᴵ'ᴹ
/ \
⊂_ヽ
＼＼ ＿
＼( •_•) ᶠ
< ⌒ヽ ᴬ
/ へ＼ ᴮ
/ / ＼＼ ᵁ
ﾚ ノ ヽ_つ ᴸ
/ / ᴼ
/ /| ᵁ
( (ヽ ˢ
| |、＼
| 丿 ＼ ⌒)
| | ) /
`ノ ) ᴸﾉ
(_／
Answer:
4pi
Step-by-step explanation:
Pi * r^2 = area of circle
r = 2
pi*2^2 =
4pi
WILL MARK BRANLIEST! 100 POINTS!
Answer:
g(x)=9
Step-by-step explanation:
use a vertical line to determine what the y value is for g(x)
g(x)=9
Step-by-step explanation:
use a vertical line to determine what the y value is for g(x)
HELP ASAP
Select the correct answer.
D = matrix (1 2 -3
2 -6 1
4 2 5)
is the coefficient matrix of a system of linear equations and
Dx = matrix ( 46 2 -3
-41 6 1
-11 2 5)
What is the solution of the system of linear equations represented by D and Dx?A.
(5, 4, -11)
B.
(5, 7, -9)
C.
(6, 7, -11)
D.
(6, 4, -9)
The solution to the system of linear equations represented by D and Dx is (x,y,z) = (5, 4, -11), which corresponds to option A.
Explanation:To solve for Dx in the given system of linear equations, we multiply matrix D by the unknowns (x, y, z). So let's assume that Dx = (x, y, z).
By comparing the results of Dx and the given matrix, we can write the system of equations as:
1x + 2y - 3z = 46; 2x - 6y + z = -41; 4x + 2y + 5z = -11.
By solving this system of equations, we can find that the solution is (x,y,z) = (5, 4, -11), which corresponds to the multiple-choice option A.
Learn more about System of Linear Equations here:https://brainly.com/question/33609849
#SPJ11
To find the solution of the system of linear equations represented by matrices D and Dx, we need to solve the equation Dx = Dⁿⁿ. By calculating the inverse of matrix D and substituting the values of Dx, we find that the solution is (5, 7, -9).
Explanation:
To find the solution of the system of linear equations represented by matrices D and Dx, we need to solve the equation Dx = Dⁿⁿ
Let's use matrix inversion to solve for x. We know that Dx = Dⁿⁿ can be rewritten as x = Dⁿⁿ −1 Dx. To find Dⁿⁿ −1, we need to calculate the inverse of matrix D:
After calculating the inverse of matrix D, we can substitute the values of Dx into the equation x = Dⁿⁿ −1 Dx to find the solution.
Plugging in the values of Dⁿⁿ and Dx, we get x = (5, 7, -9).
Learn more about Solution of Linear Equations here:https://brainly.com/question/34777099
#SPJ3
an angle measures 57.8° more than the measure of its complementary angle. what is the measure of each angle
Answer:
57.8 and 32.2 degrees
Step-by-step explanation:
Complementary angles = 90 degrees
90-57.8= 32.2
I WILL GIVE BRAINLIEST!!! PLZ HELP ASAP!!
If this problem is to be solved by substitution, which is a correct step?
y = 4x - 6
2x - 3y = 8
A) 2x - 12x + 18 = 8
B) 2x - 12x - 18 = 8
C) 2x - 4x + 6 = 8
D) 2x + 12x + 18 = 8
Answer:
A, the first one
Step-by-step explanation:
Answer:
I BELIEVE THAT THE ANSWER IS A.
Gwen bought 4 books about plants and 9 books about fish. She also bought 8 science magazines. Each book cost $12 and each magazine cost $5. How much did Gwen spend in all?
PLZZZZZZZZ HELP U WILL GET 20 POINTS!! AND BRAINLIST!!
Answer:
196
Step-by-step explanation:
12*13+8*5
Answer:
$196
Step-by-step explanation:
First, you have to know how many total there are for each. In total, there are 13 books and 8 magazines. We also need to know how much all of these cost. So, you multiply 13 by 12 to find the total cost of the books. 13 books times 12 dollars each is $156. Now, we do the same for the magazines. 8 magazines times 5 dollars each is $40. To find how much she spent in all, you have to add the two numbers.
$156 plus $40 is $196.
The radius of the circle is 12 cm. What is the circumference of the circle? (Use [pi = 3.14.)
Answer:
C =75.36 cm
Step-by-step explanation:
The circumference of a circle is given by
C = 2*pi*r
C = 2 *3.14 *12
C =75.36 cm
Identify the fungus type pictured below.
Public Domain (2 points)
A.Sac fungi
B.Zygote fungi
C.Club fungi
D.Imperfect fungi
Answer: sac fungi
Step-by-step explanation:
What is the value of x?
x = 41 cm
Here is why:
For this question we have to use the pythagorean theorem, which is used for right triangles. The hypotenuse will always be the last in this theorem.
[tex]a^2+b^2=c^2[/tex]
Plug in.
[tex]9^2+40^2=c^2[/tex]
[tex]81+1,600=c^2[/tex]
Add together.
[tex]1,681=c^2[/tex]
Now we will find the square root of 1,681, since c is squared.
[tex]\sqrt{1,681}[/tex]
= 41 cm