The circumference of a circle, C, is directly proportional to the length of its radius, r. Write down a formula,using k, connecting the circumference of the circle and the length of its radius.
Answers
The proportional relationship connecting the circumference of the circle and the length of its radius is:
[tex]C = kr[/tex]
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:[tex]y = kx[/tex]
In which k is the constant of proportionality.In this problem:
The output is the circumference of the circle.The input is the radius of the circle.Hence, the formula is:
[tex]C = kr[/tex]
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Related Questions
6√21 ×√28
please show work :D
Answers
Answer:
84√3
Step-by-step explanation:
6√21√28
6√7√3√7√4
(6√7√3√7)(2)
(6*7)(√3)(2)
(42)(√3)(2)
84√3
[tex]6\sqrt{21} \cdot \sqrt{28}\\\\=6 \left(\sqrt{21 \times 28 \right)\\\\=6\left(\sqrt{588}\right)\\\\=6\left(\sqrt{196 \times 3}\right)\\\\=6\left(14\sqrt 3\right)\\\\=84\sqrt{3}[/tex]
4/5 of a dollar is how many cents?
Answers
Answer:
4/5 of a dollar is 80 cents.Step-by-step explanation:
1 dollar = 100 cents=> 4/5 x 100=> 4 x 20=> 80 cents.Conclusion:
Therefore, 4/5 of a dollar is 80 cents.
Hoped this helped.
[tex]GeniusUser[/tex]
The value of cents in 4/5 dollars would be 80 cents.
Used the concept of measurement unit that states,
A measurement unit is a standard quality used to express a physical quantity. Also, it refers to the comparison between the unknown quantity with the known quantity.
Since we know that;
1 dollar = 100 cents
Hence we get;
The number of cents in 4/5;
4/5 x 100
4 x 20
80 cents.
Therefore, 4/5 of a dollar is 80 cents.
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May I please receive help?
Answers
Step-by-step explanation:
28^2+x^2=32^2
784+x^2=1024
x^2=240
x=15.49
x=~15.5
a piece of string 44 centermerters long.Many cuts of a piece that is 15 centermeaters long .how much string is left?
Answers
help pls please hmmm
Answers
Step-by-step explanation:
Here is your answer
(2)⁴*³2¹²Answer:
2^12
Step-by-step explanation:
Since 2^4 is already powered you will only power the 4 and not the 2
For example (a^2)^3 = a^6
and not a*a*a^6
You only power the 2 and not the "a"
Hope this helps!
Help me please on question one and two
Answers
Answer:
can you show me a better picture your problems are cut off
Step-by-step explanation:
The base of a pyramid has n sides.
Write an expression for the number of vertices of the pyramid.
Answers
The answer to the question is n+1
can i please have help with this question
brainliest for answer
Answers
Answer:
yes I can help
Step-by-step explanation:
which one please
Complete the tables of values.
Q1) y = x2 - 2x + 4
x -1 0 1 2 3
y
Answers
Answer:
2x(+4)x2
Y-1 0 1 5 2
Step-by-step explanation:
hope it help
find k where y varies directly as x, and the following are true.
y = 2 when x = 16
Answers
Answer:
y=2
x=16
k=difference is x and y
so k=16-2
k= 14
Part C
Does this curved line represent a function? If not, at what points does it fall the vertical line test?
Answers
Answer:
it is a function because it doesn't have multiple y values for each x value
The latest mystery novel cost $24 the table shows the sales of that this novel by a bookstore what was the dollar amount of the sales of the mystery novel on Saturday right in equation tomorrow to work
Day. Books sold
Thursday. 93
Friday. 103
Saturday 157
Sunday. 116
Answers
Answer:
$3768
Step-by-step explanation:
The amount of sales will be the product of the selling price of each book and the number of books sold.
sales = book price × number of books
sales = $24 × 157 . . . . . . . . books sold on Saturday
sales = $3768 . . . . . . . . . . . sales on Saturday
I need answer please the answer is not translation
Answers
Answer:
Dilation
Step-by-step explanation:
A dilation is where the size of the figure changes. The square gets larger and therefore undergoes a dilation.
Other transformations:
In a translation the figure slides or moves from its original position
In a reflection the figure is reflected across a given line
In a rotation the figure is rotated.
please help me with math !!
the diagram shows two parallel lines OP and RQ. Straight line PQ is parallel to the y-axis and O is the origin.
a) Find the equation of the straight line PQ.
b) Find the equation of the straight line RQ.
c) Find the x-intercept of the straight line RQ.
Answers
Answer:
a) x = 4b) y = 1.25x + 15c) (-12, 0)Step-by-step explanation:
a) PQ is parallel to the y-axis and contains point (4, 5).
It means its equation is:
x = 4b) RQ is parallel to OP.
Parallel lines have equal slopes.
Find the slope of OP:
m = 5/4 = 1.25RQ has slope of 1.25 and passes through (- 8, 5).
Find its equation using point-slope form:
y - 5 = 1.25(x - (-8))y - 5 = 1.25x + 10y = 1.25x + 15c) The x-intercept is determined at y = 0:
0 = 1.25x + 151.25x = - 15x = - 15/1.15x = - 12initial value on this table
Answers
Answer:correct me if I’m wrong but it’s 0.
Step-by-step explanation:
85-51=34. 34
—————=. —————=17
5-3. 2
And once 17 is the slope/rate of change,you can either go back 17 each time or….do an equation : f(x)=17(x-3)+51
Which angle do ΔEBC and ΔADC share?
Answers
Answer:
The angle in C
Step-by-step explanation:
if shan has rupees 4800 left after spending 40% of his salary how much did he have in the beginning
Answers
Step-by-step explanation:
I think that's clear enough
y-4 = 6(x + 7)
What’s the y-intercept of the equation?
Please explain it to me
Answers
Find the surface area of a cylinder with radius 8m and height 5 m
Answers
Answer:
A≈653.45
Step-by-step explanation:
Solution
A=2πrh+2πr2=2·π·8·5+2·π·82≈653.45127
Bones or no bones day?
Answers
Answer:
I'm gonna say no bones day, but I have no idea what you are talking about, so I will change my answer once you explain...
Step-by-step explanation:
Answer:Bones Day
Step-by-step explanation:
the three altitudes of a triangle intersect at the:
Answers
Explanation:
An altitude of a triangle extends from one vertex to the opposite side, where this altitude is perpendicular to the opposite side. The term "altitude" is often interchanged with "height". Think of a tall mountain that has a lot of altitude, so it's got a lot of height.
Any triangle has 3 different altitudes (one per corner). For any triangle, those three altitudes always intersect at exactly one point: the orthocenter. This is one of the many centers of a triangle. Other centers are the centroid, incenter, and circumcenter.
Item 4
What is the expanded form of this number?
570.086
(5×100)+(7×10)+(8×110)+(6×1100)
(5×100)+(7×10)+(8×1100)+(6×1100)
(5×100)+(7×10)+(8×1100)+(6×11,000)
(5×100)+(7×10)+(8×110)+(6×11,000)
Answers
Answer:
10, 100. 70,700
Step-by-step explanation:
cuz qauntom of 11 77 divided by 11
Use the associative property to simplify the expression.
43 +30 + 70
O A. 43 + 10(3 + 7) = 43 + 10(10) = 143
O B. 43+ (30 + 70) = 43 + 100 = 143
O C. 43 + 30 + 70 = 73 + 70 = 143
O D. 43 + 70 + 30 = 113 + 30 = 143
Answers
Answer:
the answer is 143 cus u add throw
through
blank % of $10 = $5
thank u for anyone who helps!!
Answers
Answer:
50%
Step-by-step explanation:
Because you don't know the percentage, you can do 5/10, and you will get 1/2, or 0.5. 1/2 is 50%, so the answer would be 50%
Tire King is having a sale where customers can buy 4 new tires for $ 319.96 . What is the unit price of the tires?
Answers
Answer:
each tire is 79.99
Step-by-step explanation:
Answer:
$79.99
Step-by-step explanation:
A retailer plans to sell two models of earbuds at costs of $250 and 5400.
The $250 model yields a profit of $45 and the $400 model yields a profit of
$50. The retailer estimates that the total monthly demand will not exceed
250 units. Find the number of units each model that should be stocked in
order to maximize profit, given that the retailer is not investing more than
$70,000 in inventory
Answers
200 $ 250 earbuds and 50 $ 400 earbuds should be stocked.
Given that a retailer plans to sell two models of earbuds at costs of $ 250 and $ 400, and the $ 250 model yields a profit of $ 45 and the $ 400 model yields a profit of $ 50, and the retailer estimates that the total monthly demand will not exceed 250 units, to find the number of units each model that should be stocked in order to maximize profit, given that the retailer is not investing more than $ 70,000 in inventory, the following calculation should be performed:
250 x 250 + 0 x 400 = 62,500 200 x 250 + 50 x 400 = 70,000
Therefore, 200 $ 250 earbuds and 50 $ 400 earbuds should be stocked.
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Solve for the variable 2y<14 A) y<12 B) y>-7 C) y>7 D) y<7
Answers
Answer:
D) y < 7
Step-by-step explanation:
So we have 2y < 14:
To solve, we will simply divide by 2 on both sides in order to isolate the y value. Now we have y < 7.
Hope this helps you :)
David hikes 2 1/4 miles in 1/2 an hour. At his rate, how long will it take him to walk 18 miles
Answers
Type the correct answer in each box. Use numerals instead of words.
Answers
Step-by-step explanation:
A
let's bring everything on the right hand side back under the square root :
8² = 64
(x³)² = x⁶
so, we get
sqrt(448x^c) = sqrt(64×7×x⁶×x) = sqrt(448×x⁷)
therefore, c = 7
B
similar to A let's bring everything on the right side under the cubic root :
4³ = 64
(x)³ = x³
cubic root(576x^d) = cubic root(64×9×x³×x²) =
= cubic root(576×x⁵)
therefore, d = 5
FURNITURE A modern table is constructed with four legs made
of concrete cubes with cube-shaped notches.
a. Define one or more variables and write an expression that
represents the volume of one table leg.
b. Marisol determined that she will use 12,636 cubic inches of
concrete to construct the four table legs. If the sides of the
notches are 40% of the sides of the legs, how long are the sides of the legs?
Answers
The volume of a shape is the amount of space in it.
The expression that represents the volume of one table leg is: [tex]V = l^3 + n^3[/tex]The sides of the legs is 14.37 inches long(a) The volume of one table leg
Represent the side length of the leg with l, and the side length of the notch with n.
So, the expression that represents the volume of one table leg is:
[tex]V = l^3 + n^3[/tex]
(b) The length of the sides
From the question, we have:
[tex]n = 40\% \times l[/tex]
Express 40% as decimal
[tex]n = 0.40 \times l[/tex]
[tex]n = 0.4l[/tex]
Substitute 0.4l for n in [tex]V = l^3 + n^3[/tex]
[tex]V =l^3 + (0.4l)^3[/tex]
[tex]V =l^3 + 0.064l^3[/tex]
[tex]V =1.064l^3[/tex]
The volume of the 4 legs is given as: 12636
So, the volume of one leg would be 12636/4
So, we have:
[tex]1.064l^3 = \frac{12636}{4}[/tex]
[tex]1.064l^3 = 3159[/tex]
Divide both sides by 1.064
[tex]l^3 = 2968.985[/tex]
Take cube roots of both sides
[tex]l = 14.37[/tex]
Hence, the sides of the legs is 14.37 inches long
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