Given:
The figures cylinder, cube, cone, and pyramid.
To find:
The formula of volume for the given figures.
Solution:
Volume of a cylinder is:
[tex]V_1=\pi r^2h[/tex]
Where r is the radius and h is the height.
Volume of a cube is:
[tex]V_2=a^3[/tex]
Where a is side length of cube.
It is also written as:
[tex]V_2=l\times w\times h[/tex]
Where l is length, w is width, h is height and [tex]l=w=h[/tex].
Volume of a cone is:
[tex]V_3=\dfrac{1}{3}\pi r^2h[/tex]
Where r is the radius and h is the height.
Volume of a pyramid is:
[tex]V_4=\dfrac{1}{3}Bh[/tex]
Where B is the base area and h is the height.
Therefore the table of formulae is shown below:
Figure Volume formula
Cylinder [tex]\pi r^2h[/tex]
Cube [tex]l\times w\times h[/tex]
Cone [tex]\dfrac{1}{3}\pi r^2h[/tex]
Pyramid [tex]\dfrac{1}{3}Bh[/tex]
1. A quadrilateral has one pair of parallel sides with lengths 2 inches and 3 inches, and two angles that each measure 42 degrees What is the shape of the quadrilateral?
Answer:
34
Step-by-step explanation:
Element X is a radioactive isotope such that every 16 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 5900 grams, how much of the element would remain after 27 years, to the nearest whole number?
Answer:1832
Step-by-step explanation:
A different car can travel 30.5 miles for every gallon of gas used.
Use proportional reasoning to find the value of x that completes the table showing this relationship.
Answer:
91.5
Step-by-step explanation:
If the table is asking for the amount of miles travelled on 3 gallons of gas, you get 3 * 30.5 = 91.5
This is because one gallon gives 30.5 miles and if you have three gallons, you get 30.5 + 30.5 + 30.5 which is the same as 3 * 30.5
Please help. Select all expressions that are equivalent to 6x +1 - (3x - 1).
A) 6x + 1 - 3x - 1
B) 6x + - 3x + 1 + 1
C)3x +2
D) 6x - 3x +1-1
E) 6x + 1 + -3x - -1
Answer:
A
Step-by-step explanation:
look at how the sign are set +-can't be correct so b is out c some of the equation is missing d in d the equation is different e you can't have--1 that's wrong
Regular ice cream cones sell for 75¢ a scoop. Marty
and Ray each ordered double-scoop cones. Lisa
ordered a single scoop. How much did they spend in all?
Answer:
$3.75
Step-by-step explanation:
a picture has painted 75% of a wall the area so far is 108 square feet what is the total area of the wall that he needs to paint ?
Answer:
27 more
Step-by-step explanation:
k
Volume = 4,410 yd
30 yd
radius =
Answer:
Radius = 11.85yd
Step-by-step explanation:
Volume of a Cone formula: V = πr²(h/3)
We know that;
V = Volume
r = radius
π = pi (this is a sign located on your calculator)
h = height
We are given that;
V = 4,410
r = unknown
h = 30
Let's substitute the values in:
=> V = πr²(h/3)
=> 4,410 = πr²(30/3)
=> 4,410 = πr²(10)
=> 4,410 / 10 = πr²
=> 441 = πr²
=> 441 / π = r²
=> 140.37 = r²
=> [tex]\sqrt{140.37}[/tex] = r
=> 11.85 = r
Therefore, the radius of the cone = 11.85yd
Hope this helps!
Help me please please
Answer:
a)
[tex]EH = \sqrt{HG^2+EG^2} = \sqrt{4^2+6^2} = \sqrt{16+36} = \sqrt{52} = 2\sqrt{13}[/tex]b)
EG² = GH*GFEG² = 4*12EG² = 48EG = √48 = 4√380 = 2u + 9a and 70 = 2u + 7a find a and u
Answer:
The required solution: (a, u) = (5, [tex]\frac{35}{2}[/tex])
Step-by-step explanation:
I will appreciate your help
Answer:
Hello! answer: 252
Step-by-step explanation:
To find parelogram area you do base × height so... 21 × 12 = 252 therefore 252 is the area Hope that helps!
What is the volume of the walls of the igloo
Rotate 180 - clockwise.
Answer: (-4,-1), (-2,-1), (-5,-4), and (-1,-4)
Step-by-step explanation: The formula for finding the rotation of points on a graph depends on how far you want to rotate the point; r90°(x,y) = (-y,x), r180°(x,y) = (-x,-y), and a r270°(x,y) = (y,-x).
r180°(1,4) = (-1,-4) r180°(5,4) = (-5,-4) r180°(2,1) = (-2,-1) r180°(4,1) = (-4,-1)
I hope this helps, have a nice day.
95 is what percent of 20 ?
Answer:
475%
Step-by-step explanation:
95/20 × 100
hope it helps
If the answer is 19
u need to reciprocate it
20/95 × 100
u will get ur answer how the Question language is wrong as per the answer
Answer:
Step-by-step explanation:
let be the x%
according to the question ur equation is
95=x/100*20
95*100=20x
9500/20=x
475=x
A cylindrical can is 16 cm in diameter and 25 cm in
height. You want to enlarge the diameter of the can to
20 cm. What must the height be if the new can still has
the same volume?
Answer:
Step-by-step explanation:
Given you or a person holding a kite string 100 feet long write and draw what the height or altitude the kite is off the ground if the angle of elevation is 49 HELP!
Answer: [tex]75.47\ ft[/tex]
Step-by-step explanation:
Given
String of the kite is [tex]l=100\ ft[/tex]
Angle of elevation [tex]\theta=49^{\circ}[/tex]
suppose altitude of the kite is h
from the figure, we can write
[tex]\Rightarrow \sin 49^{\circ}=\dfrac{h}{100}\\\\\Rightarrow h=100\sin 49^{\circ}\\\\\Rightarrow h=75.47\ ft[/tex]
Thus, the altitude of the kite is [tex]75.47\ ft[/tex]
What is the recursive and explicit formula of the geometric sequence?
2,5, 12.5, 31.25, 78, 125, ...
Answer:
Option (2)
Step-by-step explanation:
Given geometric sequence is,
2, 5, 12.5, 31.25, 78.125......
First term = a₁ = 2
Common ratio of the sequence = r = [tex]\frac{5}{2}[/tex]
= 2.5
Recursive formula of a geometric sequence is given by,
[tex]a_n=a_{n-1}(r)[/tex]
Here, [tex]a_n=[/tex] nth term of the sequence
[tex]a_{n-1}=[/tex] (n - 1)th term
r = common ratio
Therefore, recursive formula for the given sequence will be,
[tex]a_1=2[/tex]
[tex]a_n=a_{n-1}(2.5)[/tex]
Explicit formula of a geometric sequence is given by,
[tex]a_n=a_1(r)^{n-1}[/tex]
Therefore, explicit formula of the sequence will be,
[tex]a_n=2(2.5)^{n-1}[/tex]
Option (2) will be the correct option.
Carter paid $21 000 for a car and later sold it to Sienna for 75% of what he paid. Afterwards, Sienna sold it to her friend Charli for 60% of what she had paid Carter. How much did Charli pay for the car?
Answer:
Amount Charli paid for the car = $9,450
Step-by-step explanation:
Amount Carter paid for the car = $21,000
Sienna paid 75% of what Charli paid
Amount Sienna paid for the car = 75% of $21,000
= 75/100 * $21,000
= 0.75 * $21,000
= $15,750
Amount Sienna paid for the car = $15,750
Charli paid 60% of what Sienna paid
Amount Charli paid for the car = 60% of $15,750
= 60/100 * 15,750
= 0.60 * 15,750
= $9,450
Amount Charli paid for the car = $9,450
help me please. i will give points to whoever helps me
Answer:
7x+3=8x+1[corresponding angle are equal]
3-1=8x-7x
x=2 is a required answer.
Answer:
[tex]7x + 3 = 8x + 1[/tex]
[tex]x = 2[/tex]
A bakery sells ten different types of bread. The amount of cups of sugar in each bread
recipe is shown.
1
2
1
4
4
3
4
ili i
13
1
2
1
2
What is the mean amount of sugar in these recipes?
Answer:
3/4 cups
Step-by-step explanation:
Adding the fractions
1/4 + 1/2 + 1/4 + 3/4 + 1 + 1 1/2 + 1/2 + 1 3/4 + 1/2 + 1/2
And the the L.C.M to be 4
=30/4
=15/2
Mean = 15/2 ÷ 10
=15/2 × 1/10
3/4
Find the value of x. Round your answer to the nearest tenth.
68°
х
24
The value of x is about ___
Answer:
9
Step-by-step explanation:
cos(68°)×24= 8.99 which can be rounded to 9
9 2/3 – 4 1/5?
I don’t really know and umm yea …
Answer:
The answer is 188/15
Hope this helps!
Brainliest??
If you have a balance of 1,000 on your edit card and the interest rate is 17 3/4% a year in order to pay off the $100 in 5 years
Answer:
$2,263.63
Step-by-step explanation:
You start with "if" but don't end with what your goal is. I will assume that you want to know how much you'll have to pay after 5 years to pay off this $1,000 loan.
Use the compound amount formula A = P(1 + r)^5. Replacing P with $1,000, r with 0.1775 and t with 5 years, we get the payoff balance
A = $1,000(1 + 0.1775)^5 = $2,263.63
Need help ASAP
PLEASEEE
Answer:
x = 14
Step-by-step explanation:
The 2 given angles are vertical angles abd are congruent, so
4x - 22 = x + 20 ( subtract x from both sides )
3x - 22 = 20 ( add 22 to both sides )
3x = 42 ( divide both sides by 3 )
x = 14
Then
x + 20 = 14 + 20 = 34°
4x - 22 = 4(14) - 22 = 56 - 22 = 34°
Suppose it takes 4.5 pounds of seed to completely plant one acre of land. Heather has 31.4 acres of land. Find the amount of seed she needs.
Answer:
141.3 pounds of seeds
Step-by-step explanation:
1 acre = 4.5 lbs
31.4 acres = 141.3 lbs
here please please please
Find the y-coordinate of the y-intercept of the polynomial function defined
below.
f(x) = 9x^2 – 7 – 8x
What order should these go in?
Answer:
1. given
2. vertical angles theorem(1st occurrence)
3. vertical angles theorem(2nd occurrence)
4. Converse of the alternative interior angles theorem
5. Transitive property of congruence
hope this helps
have a good day :)
Step-by-step explanation:
Answers:
GivenVertical Angles Theorem (1st Occurrence)Vertical Angles Theorem (2nd Occurrence)Converse of the Alternate Interior Angles TheoremTransitive Property of Congruence========================================================
Explanation:
We always start with "given" when it comes to proofs in geometry, and proofs in general. Think of it like starting to build a house. Someone goes out and buys the material, which is the "given" that you start to work with. When we cross two lines to form an X shape, the angles opposite each other are known as vertical angles. They don't need to align vertically to be considered as such. Angles 2 and 3 fit the description. Vertical angles are always the same measure. I'm not sure why your teacher wanted to emphasize "1st occurrence" and "2nd occurrence". That part is irrelevant in my opinion.See item #2 above. Alternate interior angles are angles inside the parallel lines, and they are on alternating sides of the transversal cut. One pair of alternate interior angles is angle 3 and angle 6.The transitive property is the idea of chaining equations together. If we know that A = B and B = C, then we link them together to conclude that A = C. You can think of it as if you started in town A, moved to town B, then ultimately ended up in town C. So therefore you've gone from A to C.which ordered pair is a solution of the equation
Answer:
A
Step-by-step explanation:
y - 3 = 5(x - 2)
y - 3 = 5x - 10 Add 3 to both sides
y = 5x - 7
Let x = 2
y = 5*2 - 7
y = 3
So (2,3) works
Let x = 3
y = 5*3 - 7
y = 15 -7
y = 8
The answer is A
Angles not necessarily drawn to scale
Answer:
Angle EGB=77 degree(being vertically opposite angle)
angle CGE+angle EGB=90(being perpendicular)
x+77=90
x=90-77
x=13 degree
Step-by-step explanation:
which is the solution to the inequality y - 27 - 13
Answer:
-40
Step-by-step explanation:
y−27−13
=y+−27+−13
Combine Like Terms:
=y+−27+−13
=(y)+(−27+−13)
=y + −40