The equation of the line on the xy-coordinate graph ... is the distance from the center of the base to a point on the circumference of the top of the can?
The area of a triangle reduced by the area of the semicircle is ( 48 - 2π ) square meters. The base of the triangle is 12 meters. Find the height of the triangle and radius of the semicircle.
Answer:
The height of the triangle is 8 meters and the radius of the semi-circle is 2 meters
Step-by-step explanation:
The area of a triangle = [tex]\frac{1}{2}[/tex] × b × h, where
b is the length of the baseh is the length of the heightThe area of a semi-circle = [tex]\frac{1}{2}[/tex] π r², where
r is the length of the radius∵ The area of the figure = Area Δ - Area semicircle
∵ The area of the figure = [tex]\frac{1}{2}[/tex] × b × h - [tex]\frac{1}{2}[/tex] π r²
∵ The base of the triangle is 12 meters
→ Substitute it in the area of the figure above
∴ The area of the figure = [tex]\frac{1}{2}[/tex] × 12 × h - [tex]\frac{1}{2}[/tex] π r²
∴ The area of the figure = 6h - [tex]\frac{1}{2}[/tex] π r²
∵ The area of the figure = 48 - 2 π
→ Equate the two expressions of the area of the figure
∴ 6h - [tex]\frac{1}{2}[/tex] π r² = 48 - 2 π
→ Equate the like terms of the two sides
∵ 6h = 48
→ Divide both sides by 6 to find h
∴ h = 8
∵ - [tex]\frac{1}{2}[/tex] π r² = -2 π
→ Divide both sides by -π
∴ [tex]\frac{1}{2}[/tex] r² = 2
→ Multiply both sides by 2
∴ r² = 4
→ Take √ for both sides
∴ r = 2
The height of the triangle is 8 meters and the radius of the semi-circle is 2 meters
pls anwer quick, i need this before tomorrow
pls help Select the correct answer.
If and , which description represents the graph of function g?
YOu got the right answer!! good job for you! keep up the good work! plz mark me the brainliest PLZZ!!!!!
Answer:
hey you got it
Step-by-step explanation:
its b
Fulton Gardens buys 6,300 flower bulbs. If 70 bulbs can be planted in each flower bed, how many flower beds are needed to plant all the bulbs.
Answer:
90
Step-by-step explanation:
6300/70
=90 flower beds
PLS GIVE BRAINLIEST
Daniel has 102 stamps. Manuel has twice as many stamps as Daniel. Kendra has twice as many stamps as Manuel. How many stamps do they have in all?
Answer:
They have 714 stamps in all.
Step-by-step explanation:
Daniel has 102 stamps, and since Manuel has twice that, u multiply it two.
102 x 2 = 204.
Multiply THIS amount by two to get kendra's amount.
204 x 2 = 408.
Then, add 102, 204, and 408.
102 + 204 + 408 = 714
Answer:
There are 714 total stamps.
Step-by-step explanation:
Daniel has 102 stamps, so 102 is our first number.
Manuel has 2x as many stamps as Daniel (who has 102) so we do...
102 x 2 = 204
204 is our second number.
Kendra has 2x as many as Manuel (who has 204).
204 x 2 = 408
408 is our third number.
Now we add the three stamp numbers together to get the total:
102 + 204 + 408 = 714
There are 714 total stamps.
hjbkjbkjbkjbjbjbjbjb
Answer: ok ok
Step-by-step explanation:
12 x 12 +34=
plz tell me this one two
Answer:
12 x 12 equals 144
144+34 equals 178
Step-by-step explanation:
Answer:
178
Step-by-step explanation:
Need brainliest
)) The Great Karlo called twins Jasmine and James onto
the stage.
Jasmine, multiply your age by 3 and add 6. Then
multiply this sum by 2. James, multiply your age by 2
and add 4. Then multiply this sum by 3. I predict you
will both get the same number!
) A. Write expressions to represent Great Karlo's instructions to
each twin.
Answer:
Step-by-step explanation:
Let the age of twins Jasmine and James = x years
For Jasmine,
Karlo told Jasmine to multiply her age by 3 and add 6.
Expression will be → 3x + 6
Then multiply this sum by 2,
We get the expression → 2(3x + 6)
Karlo told James to multiply his age b 2 and add 4,
Expression → 2x + 4
Then multiply this sum by 3,
Expression → 3(2x + 4)
A). Expression for Jasmine → 2(3x + 6)
Expression for James → 3(2x + 4)
The rate StartFraction 450 pounds Over 25 buckets EndFraction describes the relationship between the number of buckets and the weight of the lobsters in the buckets. What is the weight of one bucket of lobsters?
Answer:
18
Step-by-step explanation:
divide 450 over 25 to get 18
Answer:
18
Step-by-step explanation:
NEED HELP WITH THIS QUESTION ASAP PLEASE!!!!!
Answer:
84 degrees
Step-by-step explanation:
A right triangle is 90 degrees
90-4-2=84
PIHLDF sala de among us entren
Answer:
i dont speak spanish
Step-by-step explanation:
Answer:
what haaaaaaaaaaaaaaaaaaaaaaa
Step-by-step explanation:
lllllllllllloooooooooooooooolllllllllllllllllll
0
Explain how to use a graph of the function f(x) to
find f(3)
Answer:
Step-by-step explanation:
f(3) is another notation for x = 3
on a graph, find 3 on the x axis then move up or down to find its y value
Explain how the graph of f(x)translated to the right 9units and 6down units
A map is drawn to scale so that a length of 1 centimeter on the map represents an actual distance of 3
kilometers. If two towns are 20 centimeters apart on the map, what is the actual distance between the two
towns?
Answer:
60 kilometers
Step-by-step explanation:
1 centimeter = 3 kilometers
20 × 3 = 60
Find the value of A in the formula A=1/2h(a+b) when h=6inches, a=12inches, and b=8inches.
Answer:
A = 60 in²Step-by-step explanation:
a = 12 in
b = 8 in.
h = 6 in.
plugin values into the formula:
A = 1/2 h(a + b)
A = (12 + 8) x 6
2
A = 60 in²
The sum of four times a number and 5 gives a number five times of it.
Answer:
5
Step-by-step explanation:
4x +5= 5x
Then solve the linear eqn
what is (20 squared) x (56)/ 85 x 18/5 - 89 x 38.67=?
pls help it is timed
Answer:
-2492.92 to the nearest hundredth.
Step-by-step explanation:
20^2 * 56/85 * 18/5 - 89 * 38.67
= (400 * 56 * 18) / (85* 5) - 3441.63
= (80 * 56 * 18) / 85 - 3441.63
= 80640 / 85 - 3441.63
= 948.706 - 3441.63
= -2492.92
Please help find the missing angle measures
Answer:
127
Step-by-step explanation:
(n-2)180
(5-2)180
=540 for total angle
540-90(3)-143
=127
· At Supershop you can purchase a dozen apples for $3, while at Savemore you can purchase a
4-pack of apples for $1. Determine whether these relationships are proportional. Explain your
reasoning. PLSS HELPPP
A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. Four hundred and eighty feet of fencing is used.
Find the dimensions of the playground that maximize the total enclosed area. What is the maximum area?
The smaller dimension is ? feet
Answer: h = 120 ft; w = 80 ft
A = 9600 ft^2
Step-by-step explanation: Let h and w be the dimensions of the playground. The area is given by:
A = h*w (eq1)
The total amount of fence used is:
L = 2*h + 2*w + w (eq2) (an extra distance w beacuse of the division)
Solving for w:
w = L - 2/3*h = 480 - 2/3*h (eq3) Replacing this into the area eq:
We derive this and equal zero to find its maximum:
Solving for h:
h = 120 ft. Replacing this into eq3:
w = 80ft
Therefore the maximum area is:
A = 9600 ft^2
What is the inverse of fx) =
-x+ 2?
O h(x) =
) = 4x+2
O h(x) = = -x-2
3
O h(x) = 3x - 2
h(x) = 3x - 6
Note: Your statement and answer options are a little ambiguous, so I am assuming you want to determine the inverse of f(x)=-x+2.
As the process is the same, so it would still clear your concept.
Answer:
[tex]\mathrm{Inverse\:of}\:-x+2:\:\:2-x[/tex]
Step-by-step explanation:
Given the function
[tex]f(x)=-x+2[/tex]
We know that a function h is the inverse function of f if for y=f(x), x=h(y)Determining the inverse
[tex]y=-x+2[/tex]
Replace x with y
[tex]x=-y+2[/tex]
solve for y
[tex]y=2-x[/tex]
Therefore,
[tex]\mathrm{Inverse\:of}\:-x+2:\:\:2-x[/tex]
Many businesses and organizations insist that official communications use professional-looking fonts, such as Times New Roman. Fonts characterized as less professional, such as Comic Sans, should be avoided. A student would like to determine if font choice makes a difference in the average grade on a typed response in English classes. There are currently four English classes available from which the student can collect data, and each class has a similar writing assignment. The student considers two methods for collecting data.
Method A: At the start of the assignment, students choose a font, either Times New Roman or Comic Sans, and then complete the assignment.
Method B: At the start of the assignment, students are randomly assigned one of two fonts, either Times New Roman or Comic Sans, and then complete the assignment.
In both methods, the teachers grade the papers received, and the mean grade for each font is determined.
Which method describes an experiment?
Method A is an experiment because the students choose their own font.
Method B is an experiment because the students are randomly assigned a font.
Both methods describe experiments because both fonts are used on the assignment.
Neither method describes an experiment because a third font should be included for comparison.
Answer:
The answer is B.)
Step-by-step explanation:
I'm taking the test now
Raghav has to load 2456 cartons of apples equally in 5 trucks. how many cartons will be left unloaded in the end?
Answer:
12,280
Step-by-step explanation:
just do 1456×5 :))
Ryan has read 48 pages in his book. If this represents 12% of the book, how many pages are in the book?
Let p = number of pages in the book.
100% - 12% = 88%
48/p = 0.12/0.88
0.12p = 48(0.88)
p = [48(0.88)]/(0.12)
p = 352
Answer:
let me get some food and i'll say. okay the answer is 358 pretty sure.
Step-by-step explanation:
i got food and food helps your brain to think. :)
what is 3/4 ÷ 1/2 plz help
Step-by-step explanation:
[tex] \frac{3}{4} \div \frac{1}{2} [/tex]
[tex] \frac{3}{4} \times \frac{2}{1} = \frac{6}{4} [/tex]
[tex] \frac{6}{4} = 1.5[/tex]
Answer:
it shall be 6/4
Step-by-step explanation:
HAve you heard of reciprocal? here's a example. (btw i recommond that you should search up what reciprocal means)
So bascilly you will turn the second number/ frcation around so for example :
3/5 divided by 4/5
will turn into
reciprocal : 3/5 times 5/4
So to answer your question
3/4 divided by 1/2
will turn into
3/4 times 2/1
6/4 or 1 1/2 ( as a mixed number) or 3/2 ( as a reduced fraction)
hopefully this helps !
Gavin needs $80 to buy a fish tank. He has saved $8 and plans to work as a babysitter to earn $9 per hour. Which inequality shows the minimum number of hours, n, that Gavin should work as a babysitter to earn enough to buy the fish tank?
Answer:
D (9n ≤ 80 + 8, so n ≤ 9.8)
Step-by-step explanation: cause i got right answer
- 4|7x + 2|=32
Please help, absolute value!
Answer:
x= 6/7 or x = −10/7
Step-by-step explanation:
Let's solve your equation step-by-step.
4(|7x+2|)=32
Step 1: Divide both sides by 4.
4(|7x+2|)/4 =32/4
|7x+2|=8
Step 2: Solve Absolute Value.
|7x+2|=8
We know either 7x+2=8 or 7x+2=−8
7x+2=8 (Possibility 1)
7x+2−2=8−2 (Subtract 2 from both sides)
7x/7 = 6/7
(Divide both sides by 7)
7x/7= 6/7
x= 6/7
7x+2=−8 (Possibility 2)
7x+2−2=−8−2 (Subtract 2 from both sides)
7x/7 = −10/7
(Divide both sides by 7)
x= −10/7
Answer:
x= 6/7 or x = −10/7
what is ─7g + 5 = 2 – g – 7g solved to the variable???
Answer:
g = -3
Step-by-step explanation:
-7g + 5 = 2 – g – 7g
Combine like terms
-7g + 5 = 2 -8g
5 = 2 + -g
3 = -g
-3 = g
Please explain how you get the answer.
1. Tan(-20°)= ?
For example: Tan(-20°)=?
Has 4 choices which are:
-tan 20°
tan 20°
tan (-160°)
-tan 160°
2.cos(-49°)=?
3.sin(-150°)=?
4.sec(-121°)=?
5.cos(-170°)=?
6.tan(-163°)=?
7.csc(-112°)?
8.sin(-295°)=?
9.cos(-15°)=?
10. Tan(-216°)=?
add x and subtrtact by z to get y
Help pleaseeeeee I suck at geometry.
Answer: 21. Perimeter = 48 22 . Perimeter= 36 23. Perimeter= 72
Step-by-step explanation:
First you need to find the side length using the area of each of the squares. We know that to find the area of a square you will have to square one of the side lengths, that means that to find the side length, we will need to find the square root of the area.
21 . Find the square root of 144.
[tex]\sqrt{144}[/tex] = 12
The side length is 12 so multiply it by 4 to find the perimeter because the perimeter is the distance around the shape. All the side length's of a square are the same and there four sides so multiply it by 4 to find the perimeter.
Perimeter = 12 * 4
Perimeter = 48
22. The same thing with this one, find the square root and multiply the side length by 4.
[tex]\sqrt{81}[/tex] = 9
Perimeter = 9 *4
Perimeter = 36
23. [tex]\sqrt{324}[/tex] = 18
Perimeter = 18 * 4
Perimeter = 72