Answer: The answer is [tex]16[/tex], You need to reduce the expression, if possible, by canceling the common factors. Then its lateral area of 12 inches and the radius of 3/4 inches would be 16.
Therefore your answer would be [tex]16[/tex].
Based on the concrete of the lateral area and the content of the question, the right answer is 18π
What is the lateral area?The lateral area is the term that is used to describe the surface of an object as all of the sides of the object, excluding its base and top. Generally, the term lateral area is different from the surface area, which is the lateral surface area together with the areas of the base and top.
Hence, in this case, to calculate the lateral area of the paint roller, find the circumference of the roller and multiply it by its length.
The circumference of a circle can be found using the formula: C = 2πr where r is the radius.
Given that the roller has a radius of 3/4 inch let's substitute this value into the formula to find the circumference:
C = 2π(3/4)
C = 6π/4
C = 3π/2
Now we have the circumference of the roller.
To find the lateral area we multiply the circumference by the length of the roller which is 12 inches:
Lateral Area = Circumference x Length
Lateral Area = 3π/2 x 12
Lateral Area = 36π/2
Lateral Area = 18π
Therefore, in this case, it is concluded that the lateral area of the paint roller is 18π square inches.
Learn more about Lateral Area here: https://brainly.com/question/12506372
#SPJ2
Which equation represents the parabola shown on the graph?
O y2 = -2x
O y² = -8x
O x² = -2y
O x² = -8y
The equation that represents the horizontal parabola given on the graph is:
y² = -8x
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
x = a(y - k)² + h
In which a = 1/p is the leading coefficient.
In this problem, the vertex is (0,0), hence h = k = 0, and:
ay² = x.
The directrix is at x = 2, and the parabola opens left, hence:
p = -4(2 - 0) = -8.
Hence the equation is:
y² = px = -8x.
More can be learned about the equation of a parabola at https://brainly.com/question/24737967
#SPJ1
Dylan's cow produces 21 1/3 liters of milk per day.The milk is put into bottles with a volume of 2 1/3 liters.How many bottles does Dylan need each week to bottle all the milk?
The amount of bottles that Dylan needs each week to bottle all the milk is; 64 bottles
How to work with Algebra?
We are given;
Amount of Milk produced by Dylan's cow per day = 21 ¹/₃ liters
Thus, amount of liters of milk produced in a week = 21 ¹/₃ liters * 7 = 448/3 liters.
Then, number of bottles required in a week = 448/3 ÷ 2¹/₃ = 448/7
Number of bottles required in a week = 64 bottles
Read more about Algebra at; https://brainly.com/question/723406
#SPJ1
John bought 4 pounds of hot dogs for his party.
How many ounces of hot dogs did John buy?
Answer:
64 Ounces
Step-by-step explanation:
64 Ounces of hot dogs
Answer:
64 oz
Step-by-step explanation:
1 lb = 16 oz
4 × 1 lb = 4 × 16 oz = 64 oz
if jane has 3 pars and take 3 pars how many pars would she had left
Answer:
0 pars
Step-by-step explanation:
3-3=0
...........Which graph shows the function W, X, Y, Z
Answer:
the correct graph is attached
Step-by-step explanation:
x ≥ 1 means there is a closed dot at 1
and -x + 8 means there should be an y intercept at 8 with negative slope
so it could've only been the right side graphs than the first function is positive so the top right cant be right meaning the bottom right is the correct graph
see attached question please please help!!
Based on the size of the pool that Mr. DelGrande wants to build, the ratio of the Olympic pool to the smaller pool is 2.5:1 and the area of an Olympic pool is 1,250 m².
What is the ratio of the length of an Olympic pool to Mr. DelGrande's pool?The ratio of the pools is:
Olympic pool length : Mr. DelGrande pool
50 : 20
Simplest terms give:
50 / 20 : 20 / 20
2.5 : 1
What is the area of a regulation Olympic Pool?Given the area of Mr. DelGrande's pool, the area of an Olympic pool is:
= Ratio ² x Area of Mr. DelGrande pool
= 2.5² x 200
= 1,250 m²
Find out more on ratios of variables at https://brainly.com/question/2267676.
#SPJ1
What is the length of the missing leg? if necessary, round to the nearest tenth.
don't know please clue question not written well
Thomas found a box that had a volume of 150 in3. He measured the height of the box to be 2 inches and the length was 10 inches more than the width. What is the width of the box?
7 inches
11 inches
15 inches
5 inches
Please Help!
The width of the box is 5 in if the volume of 150 in3. He measured the height of the box to be 2 inches, and the length was 10 inches more than the width.
What is a cuboid?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape.
Volume of the box = l×w×h
150 = l×w×h
h = 2 in
l = 10+w
150 = (10+w)(w)(2)
150 = 2w(10+w)
After solving, we get:
w = 5 or w = -15
Width cannot be negative.
w = 5 in
Thus, the width of the box is 5 in if the volume of 150 in3. He measured the height of the box to be 2 inches, and the length was 10 inches more than the width.
Learn more about the cuboid here:
brainly.com/question/9740924
#SPJ1
Which transformation is not a rigid motion?
A. Rotating a triangle around the origin.
B. Reflecting a triangle over the yaxis.
C. Translating a triangle down.
D. Dilating a triangle.
Answer:
B. po
Step-by-step explanation:
reflection a triangle over the yaxis.
At the circus, an acrobat is standing on a platform that is 27 feet from the ground when he sees a peanut on the ground below. How far is the peanut away from the base of the platform if the angle of elevation from the peanut to top of the acrobat's platform is 25°?
Answer:
The peanut is 12.59 feet away from the base of the platform.
Step-by-step explanation:
When solving these equations, we can first start out by noticing that this requires a trigonometry function.
There are three types : cos, sin, and tan. (cosine, sin, and tangent)
Cos is for finding and dealing with the adjacent and the hypotenuse.
Sin is for finding and dealing with the opposite and the hypotenuse.
Tan is for finding and dealing with the opposite and the adjacent.
The opposite is the bottom base, to the peanut.
The adjacent is the height from the bottom base, to the top.
The hypotenuse is the top, to the peanut.
27 feet would be the adjacent.
Since we don't know bottom base to the peanut, we would call this x. (opposite)
*Side note* : The degrees is always in between the adjacent and hypotenuse.
For this, we need the length between the peanut and the bottom base. This would be the adjacent and the opposite. Meaning we're using tangent. The equation for tangent is :
tan (degrees) = opposite/adjacent
So, now we simply put in the data.
tan 25 = x/27
We can now, first get x alone by multipling both sides by 27.
27 * tan 25 = x
Plug this into a scientific calculator :
27 * tan 25
We the answer to be 12.59
The peanut is 12.59 feet away from the base of the platform
What’s the circumference to this problem?
Answer:
The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex]. We can then input the value and we get that [tex]C=2*\pi*4[/tex] and as we solve it more the final answer that we get is [tex]C=25.133[/tex].
Hope this helps! Let me know if you have any questions
Help me please help me
the answer to that is -120
Step-by-step explanation:
-120+74=-46
Answer:
k = -120
Step-by-step explanation:
k + 74 = -46
Subtract 74 from both sides:
k + 74 = -46
- 74 - 74
k = -120
Final answer: k = -120
Hope this helps!
Mr castle shares out 32 marbles between emily and zak in the ratio of 3:1. how much marbles does each child get?
Answer:
Emily=24 marbles Zak=8 marbles
Step-by-step explanation:
sum of ratio= 3+1=4
Emily: Zak= 3:1
no. of marbles for Emily= [tex]\frac{no. of ratio}{sum of ratio}[/tex]×total no. of marbles
= [tex]\frac{3}{4}[/tex]×32
=24 marbles
No. of marbles for Zak= [tex]\frac{1}{4}[/tex]×32
=8 marbles
Please help me i need help few
Can anyone help me with this quick question please, ASAP, Thank You!
Answer:
15.7 lbs (please mark brainliest)
Step-by-step explanation:
2.6+x+x=34
2x=31.4
x=15.7
Answer: 14.4
Step-by-step explanation: I took 34 and divided it by 2 then subtracted 2.6 from 17 which gave me 14.4. If it's wrong, sorry.
Ten runners join a race. in how many possible ways can they be arranged as first,second,and third places
Answer:
in 720 Possibles ways Ten runners can be arranged as first, second, and third placers
pls help odd numbers only
Answer:
The question asks, "find the slope".
9) -4/15
10) -1/14
11) -3/4
12) -1/4
13) 11/17
14) -18/13
15) 0
16) -30
17) -5
19) -1/5
21) 1/4
23) -1
25) -2/3
what are 3 consecutive multiples of 3 if 2/3 of the sum of the first 2 numbers is 1 greater than the third number?
Help me with 2 please and thank you
Answer:
See below
Step-by-step explanation:
The terms that can be used to best describe the relationship between 60 degree angle and the angle labelled y degree is:
Vertically opposite angles.Equal angles.Angles equating to 60 degree.Since vertically opposite angles are equal, y° = 60°.
[tex]\rule[225]{225}{2}[/tex]
Answer:
Vertical angles
Step-by-step explanation:
The 60° angle and the angle marked y° are vertical angles. Vertical angles are equal. They are formed by two lines crossing (intersecting lines) I like to think of them like a pair of scissors, opening and closing! The angles get bigger or smaller together. The angle marked x° and the unmarked angle are another pair of vertical angles.
function f is shown below
f(-3)
f(4)
find x when f(x) = 5
find x when f(x)= -3
Answer:
See below ~
Step-by-step explanation:
Based on the graph,
f(-3)f(-3) = 02. f(4)
f(4) = -33. x when f(x) = 5
f(x) = 5x = 04. x when f(x) = -3
f(x) = -3x = ±4Select the graph of the equation below.
y= 3 over 2 x²+4x-2
A
B
21
48°
6x-24
D
[?] << <[ ]
11
C
The shape in the figure is a composite shape with two triangles, and the inequality is 4 < x < 12
How to determine the range of value of x?In the given figure, the side lengths AB and AD are equivalent.
This means that, we have the following angle relationship:
CAD < CAB
Substitute known values
6x - 24 < 48
Add 24 to both sides
6x < 72
Divide both sides by 6
x < 12
Also, we have the following angle relationship:
CAD > 0
Substitute known values
6x - 24 > 0
Add 24 to both sides
6x < 24
Divide both sides by 6
x < 4
This means that:
x < 4 and x < 12
Combine both inequalities
4 < x < 12
Hence, the inequality is 4 < x < 12
Read more about triangles at:
https://brainly.com/question/21735282
#SPJ1
How do you solve pythagorean theorem??
Full Explanation
Will Mark Brainlist
Pythagoras theorem is a formula that helps us determine the missing side of a triangle, with the measure of two sides, given.
The Pythagoras theorem formula is expressed as:
[tex](\small\text{Hypotenuse})^{2} = (\small\text{side}_{1} )^{2} + (\small\text{side}_{2} )^{2}[/tex]
Now, let us take an example to understand the concept better.
Example:A triangle with longest side given as 15 centimeters. The base of the triangle has a length of 9 centimeters. What is the measure of the height?
Solution:We are given the following:
Longest side (hypotenuse of the triangle) = 15 cm Base of the triangle (Not the longest side) = 9 cmWhen we plug the hypotenuse and the base, in the formula, we get;
⇒ 15² = 9² + (side₂)²Subtract 9² on both sides of the equation to isolate (side₂)².
⇒ 15² = 9² + (side₂)²⇒ 15² - 9² = 9² + (side₂)² - 9²We can use the rule [a² - b² = (a - b)(a + b)] to simplify the L.H.S
⇒ (15 - 9)(15 + 9) = (side₂)²⇒ (6)(24) = (side₂)²⇒ 144 = (side₂)²Now, take square root on both sides of the equation to determine the measure of the missing side (height of triangle).
⇒ √144 = √(side₂)²⇒ 12 = side₂Therefore, the measure of the height is 12 centimeters.
Learn more about Pythagoras theorem: https://brainly.com/question/343682
If Dwight Johnson has 7 courses to choose from, how many ways can he arrange his schedule if he must pick 4 of them?
Answer:
35 ways
Step-by-step explanation:
[tex]_7C_4=\frac{7!}{4!(7-4)!}=\frac{7!}{4!*3!}=\frac{7*6*5}{3*2*1}=\frac{210}{6}=35[/tex]
Therefore, Dwight can arrange his schedule in 35 ways if he must pick 4 out of 7 courses to choose from.
NEED ASAP PLS HELP ILL MARK BRAINLIEST IF CORRECT
(06.02 MC)
A line is drawn on a scatter plot, as shown below:
Which statement best describes the line?
(A) It can be the line of best fit because it shows a positive linear association between x and y.
(B) It can be the line of best fit because it closely fits the data points.
(C) It cannot be the line of best fit because it does not pass through all the data points.
(D) It cannot be the line of best fit because it shows a negative linear association.
Answer:
B
Step-by-step explanation:
NEED HELP ASAP!!! 50 POINTS Match the following items by evaluating the expression for x = -6.
x^-2
x^-1
x^0
x^1
x^2
Answer:
x^-2 = 1/36
x^-1 = 1/6
x^0 = 1
x^1 = -6
x^2 = 36
#1
(-6)^-21/(-6)²1/36#2
(-6)^(-1)1/(-6)#3
x^0(-6)⁰1#4
(-6)¹(-6)#5
(-6)²36The school library is (3x - 4) metres long and (2x - 3) metres wide. Find the floor area of the library in:
a) terms of x
b) square metres if x = 4
Answer:
40 meters
Step-by-step explanation:
x=4
3x-4=12-4
2x-3=8-3
12-4=8
8-3=5
8x5=40
-5(y+.2)=25 what is y? PLEASE SOLVE ASAP
-5(y+2)=25
y+2=25 ÷(-5)
y+2= -5
y= -5-2
y=7
factor the expression using the gcf 25+50
Answer:
25(1+2)
Step-by-step explanation:
25 goes into 25 once and 50 twice.
What is the answer????????
Answer:
[tex] \sqrt{ - 100} = 10i = 0 + 10i[/tex]
