Using the formula for the area and circumference of a circle, we have the following answers:
1. radius = 2 in. (given)
Diameter = 4 in.
Circumference = 12.56 in.
Area = 12.56 in.²
2. radius = 10 in.
Diameter = 20 in. (given)
Circumference = 62.8 in.
Area = 314 in.²
3. radius = 5 in.
Diameter = 10 in. (given)
Circumference = 31.4 in.
Area = 78.5 in.²
4. radius = 20 in.
Diameter = 40 in. (given)
Circumference = 125.6 in.
Area = 1,256 in.²
5. radius = 18 in. (given)
Diameter = 36 in.
Circumference = 113.04 in.
Area = 1,017.36 in.²
6. radius = 8 in. (given)
Diameter = 16 in.
Circumference = 50.24 in.
Area = 200.96 in.²
7. radius = 12 in. (given)
Diameter = 24 in.
Circumference = 75.36 in.
Area = 452.16 in.²
8. radius = 16 in.
Diameter = 32 in. (given)
Circumference = 100.48 in.
Area = 803.84 in.²
9. radius = 15 in. (given)
Diameter = 30 in.
Circumference = 94.2 in.
Area = 706.5 in.²
What is the Area and Circumference of a Circle?Area of a circle = πr²Circumference of a circle = 2πr or πd, where r is radius and d is diameter.1. radius = 2 in. (given)
Diameter = 2(2) = 4 in.
Circumference = πd = π(4) = 12.56 in.
Area = πr² = π(2²) = 12.56 in.²
2. radius = 1/2(20) = 10 in.
Diameter = 20 in. (given)
Circumference = πd = π(20) = 62.8 in.
Area = πr² = π(10²) = 314 in.²
3. radius = 1/2(10) = 5 in.
Diameter = 10 in. (given)
Circumference = πd = π(10) = 31.4 in.
Area = πr² = π(5²) = 78.5 in.²
4. radius = 1/2(40) = 20 in.
Diameter = 40 in. (given)
Circumference = πd = π(40) = 125.6 in.
Area = πr² = π(20²) = 1,256 in.²
5. radius = 18 in. (given)
Diameter = 2(18) = 36 in.
Circumference = πd = π(36) = 113.04 in.
Area = πr² = π(18²) = 1,017.36 in.²
6. radius = 8 in. (given)
Diameter = 2(8) = 16 in.
Circumference = πd = π(16) = 50.24 in.
Area = πr² = π(8²) = 200.96 in.²
7. radius = 12 in. (given)
Diameter = 2(12) = 24 in.
Circumference = πd = π(24) = 75.36 in.
Area = πr² = π(12²) = 452.16 in.²
8. radius = 1/2(32) = 16 in.
Diameter = 32 in. (given)
Circumference = πd = π(32) = 100.48 in.
Area = πr² = π(16²) = 803.84 in.²
9. radius = 15 in. (given)
Diameter = 2(15) = 30 in.
Circumference = πd = π(30) = 94.2 in.
Area = πr² = π(15²) = 706.5 in.²
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Jenny solved the equation 1 – (2x + 4) = -4x + 5. Her work is shown below.
1-(2x+4)=-4x+5
Step 1: 1-2x+4=-4x+4
Step 2: 5-2x=-4x+5
Step 3: 2x=0
x=0
Identify Jenny’s error in solving the equation. Explain.
The correct value of x is 4.
It is required to find the solution.
What is algebra?A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
Given:
The equation is
1 – (2x + 4) = –4x + 5,
we have to find the correct solution of the equation;
According to given question we have,
Step 1: Open the parenthesis we get,
1 – (2x + 4) = –4x + 5
1-2x-4 = -4x + 5
1-4-2x = -4x +5
-3-2x = -4x + 5
Step 2: Collect like terms we get,
-2x + 4x = 5 + 3
2x = 8
Step 3: divide both sides by 2 we get,
2x/2 = 8/2
x = 4
Hence the correct value of x is 4.
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Question is in the file, please help....
Answer:
A = 10% B = 50% C=75%
Step-by-step explanation:
A is 1/10 that is 10%
B is 1/2 that is 50%
C is 3/4 that is 75%
Fractions and percentages can be useful together
I need help with this equation
4 - 5y = -16
Answer:
89
Step-by-step explanation:
+-l
Answer: y=4
Step-by-step explanation:
4-5y=-16
(-5y +4)+ (-4)= -16 +(-4)
_5y+4-4=-16-4
-5y=-20
5y/5=20/5
2*2
y=4
PLS HELP ILL GIVE 30 POINT FOR WHOEVER HAS CORRECT ANSWER Find the total amount you will pay given an original price of $499.95 and tax rate of 4%.
Answer:
$519.948
Step-by-step explanation:
A local hamburger shop sold a combined total of 490 hamburgers and cheeseburgers on Saturday. There were 60 fewer cheeseburgers sold than hamburgers.
How many hamburgers were sold on Saturday?
Answer:
315 hamburgurs could be a possible answer
Step-by-step explanation:
Split 490 into an even half, then take away 60, thats for chesburguers. Then subtract that from 490 to find the hambugurs.
4/3 x (11/10-1/6)
Help me solve this please.
Answer:
56/45
Step-by-step explanation:
original problem
4/3 x (11/10 - 1/6)
to subtract fraction, we must have a commen denomentator, in this case, it, it would be 30
4/3 x (33/30 - 5/30)
now we can subtract
4/3 x (28/30)
and then multiply
56/45
Which statements are true? Check all that apply. The square root of a positive number greater than 1 is less than the number. O The square root of a positive number is always less than half of the number itself. The square root of a positive number less than 1 is less than the number. O The square root of a perfect square is not a whole number. U2 The square root of a positive number less than 1 is between 0 and 1 Nans this and met Save and Exit
Answer:
The square root of a positive number greater than 1 is less than the number. TRUE
The square root of a positive number is always less than half of the number itself. FALSE
The square root of a positive number less than 1 is less than the number. FALSE
The square root of a perfect square INTEGER is AN INTEGER; the square root of a perfect square such as one fourth is one half, not a whole number. THIS QUESTION NEEDED QUALIFICATION OF "number"
The square root of a positive number less than 1 is between 0 and 1. TRUE
Please help ! Easy 7th grade work . I’ll give brainliest
Answer:
For question one, your answer is that the daily change in the stock market is 13 points
(You would basically be dividing for both answers)
For question two, the answer is around 6 feet in depth
Step-by-step explanation:
Answer:
1.) 13
2.)either 600 or -600
Step-by-step explanation:
For #1, you would Divide 5 from 65 which equals 13.
For #2, all you practically do is multiply 60 by 10 which equals 600 but since u are going underwater (depth) it would most likely be -600
Hopes This helps :)
What is the value of the expression 10z2-2z-2 when z=3?
Answer:
82 is the value of the expression when z = 3
Step-by-step explanation:
Plug in 3 to the expression.
[tex]10z^{2} -2z - 2\\ 10(3)^{2} - 2(3) - 2[/tex]
Then solve the expression.
90 - 6 - 2 = 82
We got 90 when we squared 3 and multiplied that number (9) by 10, resulting in 90.
2.) Write an equation in slope-intercept form of the line that
passes through the given point and is parallel to the given line.
Parallel to: y = -3/2x + 3 Passes through: (0, -3)
O A.) y = 2/3X + 3
O B.) y = -3/2x + 3
O C.) y = 2/3x - 3
O D.) y = -3/2x - 3
Answer:
D. Y=-3/2x-3
Step-by-step explanation:
(0,-3)
-3=-2/3(0)+b
-3=b
y=-3/2x+3 parallel slope is -3/2
Y=-3/2x-3
Which graph shows the solution to the inequality-2 (2ar +3) 26?
Answer:
1ST GRAPH
Step-by-step explanation:
1st GRAPH
Because the equation is trying to express:
p is bigger or equal to -1
and in graph no.1 the inequality is at -1 and everything after it could be p. As P is bigger than -1
What is the circumference of the following circle?
Can someone help me please
Answer:
d is 90, angles on a straight line
e is 147, vertically opp angles
f is 33, any of the above rules.
Whats the factored form of the trinomial 2x^2-26x-60
Answer: Plz mark me brainlest
Step-by-step explanation:
You can factor out a 2, so do that first
2(x^2 - 13x + 30) = 0
Now look at x^2 - 13x + 30. Since you have a positive last term and a negative middle term, then you're looking for something in the form of (x - ?)(x - ?). We have to find two numbers whose product is 30 and whose sum is 13. The numbers must be 10 and 3:
2(x-3)(x-10) = 0
what is the answer for -3(n+6)+10=-8 what would n be?
Answer:
n = 0
Step-by-step explanation:
Answer:
Step-by-step explanation:
-3(n+6) +10 = -8 distribute the -3
-3n -18 +10 = -8 combine like terms
-3n -8 = -8 add 8 to each side to get the -3n by itself
-3n = 0 divide each side by -3
n = 0
Slope of a line parallel to y= 4x - 2*
Answer:
Step-by-step explanation:
the parallel lines have same slope
slope(m) = 4
PLEASE HELP! I WILL MAKE YOU BRAINLIST!
Answer: 260
Step-by-step explanation: 39/3 = 13. 13 times 20 = 260.
-2 1/5 divided by
-3/7
Look at picture!
Answer: 5 2/15
Step-by-step explanation: hope this helps :) plz mark brainlest if it does :)
Square ABCD has an area of 25 units with A(-1,5), B(2,1) and C(6,4). What is the y-coordinate of point D?
A. 3
B. 5
C. 7
D. 8
Answer: C. 7
Step-by-step explanation:
Write an equation in slope-intercept form for the line that passes through each pair of points:
(4, -3)(2, 3)
PLS HELP TY
Answer:
y=-3x+9
Step-by-step explanation:
The slope of the line through two points (x1,y1) and (x2,y2) can be found by using the formula below. Don't forget slope is rise over run: subtract the y-values in the numerator to get the rise and subtract the x-values in the denominator (in the same order!) to get the run. Once you know the slope (m), you're halfway there. Now all that's left to find is the y-intercept (b). To find the y-intercept, choose one of the points on the line. It does not matter which point you choose (just pick the one that looks easiest to you). Plug in the values for x and y into the equation and solve for b.
Solve the equation
3/2 (2 - 6x) + 1 = 3 – 5x.
Answer:
x= 1/4
Step-by-step explanation:
3/2 (2−6x)+1=3−5x
(3/2) (2)+ (3/2) (−6x)+1=3+−5x
3+−9x+1=3+−5x
(−9x)+(3+1)=−5x+3
−9x+4=−5x+3
−9x+4+5x=−5x+3+5x
−4x+4=3
−4x+4−4=3−4
−4x=−1
YOU SUBTRACT -4 ON BOTH SIDES SO YOU'LL GET X= 1/4
Answer:
x= 1/4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3/2(2−6x)+1=3−5x
(3/2)(2)+(3/2)(−6x)+1=3+−5x (Distribute)
3+−9x+1=3+−5x
(−9x)+(3+1)=−5x+3 (Combine Like Terms)
−9x+4=−5x+3
−9x+4=−5x+3
Step 2: Add 5x to both sides.
−9x+4+5x=−5x+5x+3
−4x+4=3
Step 3: Subtract 4 from both sides.
−4x+4−4=3−4
−4x=−1
Step 4: Divide both sides by -4.
−4x/-4 −4/-4=−1/−4
x= 1/4
Solve the two step equation below:
14
=
2
x
−
2
14=2x−2
(only write the numeric answer, do not worry about writing
x
=
3
x=3 if 3 is the answer, simply
Answer for
14
=
2
x
^2
+
x
Step-by-step explanation:
Rewrite the equation as 2
x^
2
+
x=
14
.
2
x
^2
+
x
=
14
Move 14 to the left side of the equation by subtracting it from both sides.
2
x
^2
+
x
−
14
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
^2
−
4
(
a
c
)
2
a
Substitute the values a
=
2
, b
=
1
, and c
=
−
14 into the quadratic formula and solve for x
.
−
1
±
√
1
2
−
4
⋅
(
2
⋅
−
14
)
2
⋅
2
Simplify the numerator.
x
=
−
1
±
√
113
2
⋅
2
Multiply 2 by 2
.
x
=
−
1
±
√
113
4
The final answer is the combination of both solutions.
x
=
−
1
−
√
113
- 1
+
√
113
4 4
The result can be shown in multiple forms.
Exact Form:
x
=
−
1
−
√
113
, −
1
+
√
113
4
4 4
Decimal Form:
x
=
2.40753645
… , −
2.90753645
…
Please help
What is 3-9
Which statement justifies why ∠FBE measures 50°? Given: angles ABD and DBC are complementary
Answer:
If two angles are vertical angles, then they are congruent.
Step-by-step explanation:
If two angles are vertical angles, then they are congruent- this justifies why ∠FBE measures 50°.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
We know that, a ray is a line that continues on forever inn one direction with a point at it's start.
Here, given that,
angles ABD and DBC are complementary
Now, we get,
Hence, If two angles are vertical angles, then they are congruent- this justifies why ∠FBE measures 50°.
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help meeee plezzzzzzz
Answer:
-16
Step-by-step explanation:
Or you could use desmos scientific calculator
Which statement describes the sequence −9, −3, 3, 9, 15?
A. An arithmetic sequence with common difference −9
B. An arithmetic sequence with common difference 3
C. An arithmetic sequence with common difference 6
D. Not an arithmetic sequence
Answer:
C. An arithmetic sequence with a common difference of 6.
Step-by-step explanation:
A is incorrect because the common difference is not -9 (not constant).
B is incorrect because the common difference is not 3 (not constant).
C is the correct answer because the common difference is 6 (constant).
D is incorrect because this is an arithmetic sequence.
-------------------------------------------------------------------------------------------------------
-9 + 6 = -3
-3 + 6 = 3
3 + 6 = 9
9 + 6 = 15
The common difference is +6 (positive 6).
Hope that helps!
Please give me Brainliest!?!?
The progression −9, −3, 3, 9, 15 is an arithmetic sequence with a common difference of 6. The correct option is C.
What is an arithmetic progression?The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.
Given series is −9, −3, 3, 9, 15.
The common difference is calculated as,
-9 + 6 = -3
-3 + 6 = 3
3 + 6 = 9
9 + 6 = 15
As above it is observed that with the common difference of 6 we found the series, −9, −3, 3, 9, 15.
Therefore, the progression −9, −3, 3, 9, 15 is an arithmetic sequence with a common difference of 6. The correct option is C.
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anybody know this answer?
Answer:
y = x + 5
Step-by-step explanation:
Find any two points:
(1, 6)
(2, 7)
Slope = (y2 - y1) / (x2 - x1)
S0:
7 - 6 / 2 - 1
1 / 1
So slope = 1
Equation:
y = mx + b
Plug in the numbers using the x and y of any points:
7 = m * 2 + b
Add m (which is the slope):
7 = 1 * 2 + b
7 = 2 + b
Subtract two from both sides:
5 = b
So our equation is:
y = x + 5
Please let me know if I've done anything wrong!
Answer:
y = x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (0, 5) ← 2 points on the line
m = [tex]\frac{5-0}{0+5}[/tex] = [tex]\frac{5}{5}[/tex] = 1
The line crosses the y- axis at (0, 5 ) ⇒ c = 5
y = x + 5 ← equation of line
36 3/4 gallons of water come out of a hose in 15 minutes. Write the ratio in fractional form and determine the water rate in gallons per hour. Group of answer choices 147 gallons per hour 73.5 or 73 1/2 gallons per hour 36.75 or 36 3/4 gallons per hour not possible
Answer:
147 gallons per hour
Step-by-step explanation:
Given:
36 3/4 gallons = 15 minutes
Determine the water rate in gallons per hour
1 hour = 60 minutes
60 minutes / 15 minutes = 4
Multiply both a of the proportion by 4
36 3/4 × 4gallons = 15 minutes × 4
147/4 × 4 gallons = 60 minutes
147 gallons = 60 minutes
147 gallons per hour
The correct answer = 147 gallons per hour
How many square yards of carpet
are needed to cover the floor of
a room that is 18 feet long and
12 feet wide? (1 yd = 3 ft)
The area of the floor required to cover using carpet is equal to 24 square yards .
To calculate the area of the room in square yards,
convert the dimensions from feet to yards and then find the product of the length and width.
1 yard (yd) = 3 feet (ft)
Room length in yards
= 18 feet / 3 feet/yd
= 6 yards
Room width in yards
= 12 feet / 3 feet/yd
= 4 yards
Now, find the area of the room in square yards:
Area = Length × Width
Area = 6 yards × 4 yards = 24 square yards
Therefore, 24 square yards of carpet area required to cover the floor of the room.
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4x+12=−2x
easy points plz solve quick!
Answer:
-2
Step-by-step explanation:
Rearrange:4*x+12-(-2*x)=0
Pull out like factors:6x + 12 = 6 • (x + 2)
Solve:x+2=0
Subtract 2 from both sides of the equation:x = -2
Answer:
x = -2
Step-by-step explanation:
4x + 12 = -2x
4x + 12-12 = -2x - 12
4x = -2x - 12
4x + 2x = -2x - 12 + 2x
6x = -12
x = -2