Circumference = Perimeter
Perimeter of Circle
= 14π
Also,
Perimeter of Circle
= 2πr
Now,
2πr = 14π
r = 14π/2π
r = 14/2
r = 7cm
The circumference of a circle is 14pi cm. Hence, the radius of the circle will be 7 cm.
What is the circumference of a circle?Supposing that a considered circle has its radius of 'r' units.
Then, its circumference is given as:
[tex]Circumference = 2\pi r \: \rm units[/tex]
The radius of a circle is half of its diameter.
The circumference of a circle is 14pi cm.
Circumference = Perimeter
Circumference of Circle = 14π
Also,
Circumference of Circle = 2πr
Now,
2πr = 14π
r = 14π/2π
r = 14/2
r = 7cm
Hence, the radius of the circle will be 7 cm.
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A line goes through the points (-4,6) and (-2,3). A line perpendicular to
that line is:
Answer: A line with a slope of 2
Step-by-step explanation: the slope of the line is -1/2 so the negative reciprcal of the slope is 2 (It would be perpendicular to it)
i used m=y2-y2/x2-x1 to figure ou the slope and -(x/y) as the negative reciprcal for the perpendicular line.
Clara needs 48 ounces of flour to bake a cake. If 1 cup is equal to 8 ounces, how many cups of flour should Clara use? (1 point)
a
2 cups
b
3 cups
c
4 cups
d
6 cups
ASAP Answer this now
Subtract 38¢ from $5.60. Include the dollar sign and no spaces in your answer.
Answer:
$5.22
Step-by-step explanation:
you would subtract so 5.60-.38=$5.22
Answer:
$5.22
Step-by-step explanation:
$5.22-0.38
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Can someone Please help me get the answer for what is ⅘ of 12?
Answer:
9.6
Step-by-step explanation:
Solve for b: 4b-11=1-2(3-b)
A) 0
B) 14
C) 3
D) -16
Answer:
4b -11 = 1 -2(3-b) (use the distributive property on -2(3-b))
4b -11 = 1 -6 +2b ( combine like terms on the right side of the = sign)
4b -11 = -5 +2b (subtract 2b from both sides)
2b -11 = -5 (add 11 to both sides)
2b = 6 (divide each side by 2)
b= 3 ( so, your answer is C)
Answer:
C
Step-by-step explanation:
4b-11=1-2(3-b)
4b-11=1-6+2b
4b-11=-5+2b
4b=6+2b
2b=6
b=3
Your answer is C
If two angles of a triangle each measure 50 degrees, then what is the measure of the third angle of the triangle? Complete the statement by providing the correct answer in number form.
The third angle of the triangle would be
Answer: 80
Step-by-step explanation:
Triangles equal 180 therefore 50+50=100 and 180-80=80
Answer:
The answer would be 80*
Step-by-step explanation:
Because every triangle needs to add up to 180* and so if you add 50 and 50 you get 100. Minus that from 180 and you get 80
I NEED HELP ASAP IT IS DUE AT MIDNIGHT PLEASEEEEEE!!!!
Answer:
A = -2.2
B = -1.7
C = 1.87
D = 19.97
Step-by-step explanation:
A = 7.4 - 9.6 = -2.2
B = -2.2 + 0.5 = -1.7
C = -1.1(-1.7) = 1.87
D = 18.1 + 1.87 = 19.97
Answer:
A = -2.2
B = -1.7
C = 1.87
D = 19.97
Step-by-step explanation:
One fish tank is being filled while another is being drained. The first fish tank has 175 liters of water and more water is being added at a rate of 7 liters per minute. The second fish tank has 550 liters of water and is being drained at 8 liters per minute. Which equation can be used to calculate how many minutes it will it take for the two tanks to have the same amount of water?
A: 175 + 7x - 550 - 8x
B: 175 + 7x - 550 + 8x
C: 8x - 7x = 550 + 175
D: 8x - 7x = 550 - 175
Please Help!!!
In this equation, it will require 175 + 7x - 550 - 8x water to fill both tanks to the same level.
Explain about the equation?A formula that describes how two expressions on each side of a sign are connected. It typically has an equal sign and one variable. akin to this 2. 2x - 4 = 2. The variable x is present in the preceding example.
Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the expressions 3x + 5 and 14 make up the equation 3x + 5 = 14, with the word "equal" separating them.
The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.
You start first by the number of minutes that have passed.
Regardless of how many minutes have passed, the second had loses.
=175 + 7 liters
=550 liters loses 8 times
= 175 + 7x - 550 - 8x
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Help Please!
Which relationship between x and y in the equation shows a proportional relationship?
a) y = x – 2
b) y = 3x
c) y = 5x + 3
d) y = 5 (x + 3)
Answer:
y=3x
Step-by-step explanation:
I took the test
For each part of the questions below, use the following situation:
You have 15 coins valued at $3.00. Some of the coins are dimes and some are quarters.
What is the first equation that can be written for this situation?
3x=15
What is the second equation that can be written for this situation?
How many dimes do you have?
How many quarters do you have?
Answer:
3x=15 the x is 5
10+5=15
10 quarters
5 dimes
Step-by-step explanation:
Somebody can help me to solve this thing please people i need help !!
The solution to the given inequality is: I only.
What is an inequality?An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).When x = -10, a solution to the inequality is given by:
-7 ≥ 2 + 5x
-7 ≥ 2 + 5(-10)
-7 ≥ 2 - 50
-7 ≥ -48 (True).
When x = 3, a solution to the inequality is given by:
-7 ≥ 2 + 5x
-7 ≥ 2 + 5(3)
-7 ≥ 2 + 15
-7 ≥ 17 (False).
When x = -1, a solution to the inequality is given by:
-7 ≥ 2 + 5x
-7 ≥ 2 + 5(-1)
-7 ≥ 2 - 5
-7 ≥ -3 (False).
Therefore, the solution to the given inequality is "I only."
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SOMEONE HELP ASAP!!!!!
Answer:
A. y=[tex]\frac{3}{2}[/tex]x-3
B.y=[tex]\frac{-3}{4}[/tex]x-3
Step-by-step explanation:
Okay so essentially, the first thing you need to do is find the slope and y intercept for each equation. To find the slope, I like to look at the two points and divide the rise (How much it goes up or down) by the run (How much it moves left or right). For A the rise is 6 and the run is 4, so the slope is 6/4 or 3/2. To find the equation for A, you also need the y-intercept which is just the y value (how high up or down) it is when it crosses the y axis. In graph a, this is at -3. Because the equation of a line is y=mx+b (m being slope and b being y intercept), we know the equation for a is y=[tex]\frac{3}{2}[/tex]x-3. We can do the same thing for B. The rise is -3 and the run is 4, so the slope is -3/4. The y value when x is equal to zero is 2, so that is the y intercept. The equation is y=[tex]\frac{-3}{4}[/tex]x-3
t < –3 or t > 2 is equivalent to –3 < t < 2. WILL GIVE BRAINLYEST
True
False
Answer: False
Step-by-step explanation:
If t<-3, and t>2, that means that all values less than 3, and all values greater than 2 are true.
In the inequality -3<t<2, only values between -3 and 2 are true, so this means they are not equivalent.
Step-by-step explanation:
t>-3 or t<2
THE STATEMENT ABOVE CONTRADICTS THE GIVEN STATEMENT THEREFORE IT IS FALSE
Find f(3) for f(x)=−5x−2
A. -10
B. -15
C. 13
D. -17
Answer:
f(3) = -17
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = -5x - 2
f(3) is x = 3
Step 2: Evaluate
Substitute in x: f(3) = -5(3) - 2Multiply: f(3) = -15 - 2Subtract: f(3) = -178 + x/2 = -12 (8 + x divided by 2 = -12) *
Answer:
[tex]8 + \frac{1}{2} x = - 12 \\ 16 + x = - 24 \\ x = - 24 - 16 \\ x - 40[/tex]
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10th grade geometry Help!!!
Answer:
m∠W = (4x)° = 4 × 18 = 72°
m∠Y = (3x)° = 3 × 18 = 54°
m∠Z = (3x)° = 3 × 18 = 54°
Step-by-step explanation:
m∠W = (4x)°
m∠Y = (3x)°
m∠Z = (3x)°
i.e.,
We Know That,
The sum of a Triangle is 180°
So,
m∠W + m∠Y + m∠Z
i.e.,
(4x)° + (3x)° + (3x)° = 180°
10x° = 180°
x = 180/10
x = 18°
Now,
m∠W = (4x)° = 4 × 18 = 72°
m∠Y = (3x)° = 3 × 18 = 54°
m∠Z = (3x)° = 3 × 18 = 54°
Thus, x = 18°
FOR VERIFICATION ONLY:(4x)° + (3x)° + (3x)° = 180°
4 × 18 + 3 × 18 + 3 × 18 = 180
72° + 54° + 54° = 180°
180° = 180°
Hence, L.H.S = R.H.S
-TheUnknownScientist
I thought the answer was 110 but the answer was so wrong so I’m doing something wrong. Can someone please help me?
Answer:
b= 50
Step-by-step explanation:
the entire angle equals 80 degrees and a portion of it equals 30. therefore the portion that equals b = 50 because 30+50=80 hope this helps.
The cost of toilet paper increased by 50% after the "Great Toilet Paper Shortage" of 2020.
If toilet paper cost $6.50 before the shortage, how much did it cost after the shortage?
Answer:
I think 9.25
Step-by-step explanation:
Answer:
9 dollar
Step-by-step explanation:
it is now 9 dollar because the increase was 3.00
how many groups of 7/4 are in 1
Answer:28
Step-by-step explanation:
Which step is the first incorrect step in the solution shown below? Solve: 5(x + 2) = 6x + 12 Step 1: 5x + 2 = 6x + 12 Step 2: -x + 2 = 12 Step 3: -X = 10 Step 4: x = -10 O A. Step 1 OB. Step 2 C. Step 3 D. Step 4
Answer:
Step 1
Step-by-step explanation:
Correct solution step-by-step:
1. 5(x + 2) = 6x + 12
2. 5x + 10 = 6x + 12
3. 5x - 6x = 12 - 10
4. -x = 2
5. x = -2
Find the exact length of the third side.
Answer: 10
Step-by-step explanation:
You just add them together-
Step-by-step explanation:
using Pythagoras theorem :
hyp²= opp² + adj²
x²= 7² + 3²
x² = 49 + 9
x² = 58
take the root of both sides
x = √58
x = 7.62
how many solutions does the equation 3(x+7)=20+3x+1 have?
a. one solution
b. no solution
c. infinitely many solutions
solve 3(x+7)=20+3x+1
explain how you know the number of solutions
Find the area of a circle that has a diameter of 20 cm.
Is the following relation linear, quadratic, or cubic? If it is linear, find the equation. Explain your reasoning and include all of your work in your final answer.
1. Q = { (x,y) : (0,0), (1,2), (2,16), (3, 54), (4, 128), (5,250) }
2. R= { (x,y) : (2,3), (4,4), (6,5), (8,6) }
3. S = { (x,y), : (1,3), (2,9), (3,17), (4,27), (5, 39), (6,53) }
Answer:
Q = { (x,y) : (0,0), (1,2), (2,16), (3, 54), (4, 128), (5,250) } is cubic
R= { (x,y) : (2,3), (4,4), (6,5), (8,6) } is linear
S = { (x,y), : (1,3), (2,9), (3,17), (4,27), (5, 39), (6,53) } is quadratic
Equation of the linear relation is
y = 0.5x + 2
Step-by-step explanation:
A linear equation has the form y = mx + b where m is the slope and b is the y-intercept. Slope is a constant and growth of function is determined by x value
A quadratic equation has the general form y = ax² + bx + c where a b and c are constants. Growth of the function is mostly determined by the square of x
A cubic equation has the general form y = ax³ + bx² + cx + d where a, b and c are constants. The growth of the function is mostly determined by the cube of x value
Looking at the three relations
#1 is obviously cubic since the value of y appears to be determined by the cube of the value of x. Specifically, when x = 0, y = 0/. When x =1, y = 2 but when x =2, y =16 and 16 is 2x³ = 2(2³) = 2 x 8
Looking at x =3, 2(3³) = 2(27) = 54
So this is a cubic function
#2 is obviously a linear function When x increases by 2, y increases by 1 so it is a linear growth
#3 In this equation we can see that the y value appears to be controlled by the square of x. The specific equation is y = x² + 3x -1
For the linear equation, find the slope from the first two points
m = (4-3)/(4-2) = 1/2 = 0.5
So the equation is y = 0.5x + b
To find b, use the coordinates of any point. Let's choose (4,4)
At x = 4, y = 4 so
4 = (0.5)4 + b = 2+b yielding b = 2
So the equation is y = 0.5x + 2
Relation Q is not linear, relation R is linear with the equation y = (1/2)x + 2, and relation S is not linear.
1: Q = { (0,0), (1,2), (2,16), (3,54), (4,128), (5,250) }
To determine if this relation is linear, quadratic, or cubic,
Examine the differences between the y-values.
Calculate the differences for the given data:
Difference in y-values:
(2-0) = 2
(16-2) = 14
(54-16) = 38
(128-54) = 74
(250-128) = 122
Looking at the differences,
we can see that they are not constant.
In a linear relation, the differences between the y-values would be constant.
Therefore, we can conclude that this relation is not linear.
2: R = { (2,3), (4,4), (6,5), (8,6) }
Similar to the previous relation, let's calculate the differences:
Difference in y-values:
(4-3) = 1
(6-4) = 2
(8-6) = 2
In this case, the differences between the y-values are constant
(both are 2). This indicates a linear relation.
To find the equation, we can use the slope-intercept form (y = mx + b). Let's choose any two points from the relation, for example, (2,3) and (4,4):
Slope (m) = (4-3) / (4-2) = 1/2
m = 1/2
Now, let's plug in the values of one point (2,3) and the slope into the equation:
y = mx + b
3 = (1/2) x 2 + b
3 = 1 + b
b = 2
Therefore, the equation for this linear relation is y = (1/2)x + 2.
3: S = { (1,3), (2,9), (3,17), (4,27), (5,39), (6,53) }
Again, calculate the differences:
Difference in y-values:
(9-3) = 6
(17-9) = 8
(27-17) = 10
(39-27) = 12
(53-39) = 14
The differences between the y-values are not constant, indicating that this relation is not linear.
Hence,
Relation Q is not linear.
Relation R is linear, with the equation y = (1/2)x + 2.
Relation S is not linear.
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is y=x^3 one to one?
Answer: Yes
Step-by-step explanation:
Answer:
Its graph is a parabola, and many horizontal lines cut the parabola twice. The function f(x)=x 3, on the other hand, IS one-to-one. If two real numbers have the same cube, they are equal. The horizontal line test is also easy to apply.
Step-by-step explanation:
Jose works as a salesperson at an electronics store and sells phones and phone accessories. Jose earns a $9 commission for every phone he sells and a 4$ commission for every accessory he sells. On a given day, Jose made a total of $253 in commission and sold 8 more accessories than phone sold and the number of accessories sold. Define the variables that you use to write the system.
Answer:
The variables would be 9p and 4c
Step-by-step explanation:
Jose gets $9 for every Phone or 9p and $4 for every accessory or 4a
PLEASE HELP!! What is the answer?
help pls thanks huys
Answer:
12
Step-by-step explanation:
Let the unknown number be x.
8 = -4(1) + x
8 = -4 + x
x - 4 = 8
x = 8 + 4
x = 12
Answer:
[tex]a_{n}[/tex] = - 4n + 12
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 8 and d = a₂ - a₁ = 4 - 8 = - 4 , then
[tex]a_{n}[/tex] = 8 - 4(n - 1) = 8 - 4n + 4 = - 4n + 12
solve the right angle trig problem. round to the nearest tenth.
Answer:
x ≈ 16.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cos∅ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
We are given a right triangle. We can use trig to find the missing side length.
Step 2: Identify Variables
POV from the angle measure
Angle = 38°
Adjacent Leg = x
Hypotenuse = 21
Step 3: Solve for x
Substitute [cosine]: cos38° = x/21Isolate x: 21cos38° = xRewrite: x = 21cos38°Evaluate: x = 16.5482Round: x ≈ 16.5