Answer:
Area of a circle=Πr²
Getting r from:
circumference of a circle=2Πr
30.1 =2(3.14)r
30.1 =6.28r
4.8 =r
Area=3.14(4.8)²
=3.14(23.04)
=72.3
The area of the circular shaped plate is given by A = 71.536 inches²
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the radius of the circular plate be r
Now , circumference of a circle is given by the formula:
C = 2πr
where C is the circumference and r is the radius of the circle.
In this case, we are given that the circumference of the plate is 30.1 inches, so we can set up an equation:
30.1 = 2πr
Solving for r:
r = 30.1 / (2π)
r ≈ 4.788 inches (rounded to three decimal places)
Now that we know the radius, we can use the formula for the area of a circle:
A = πr²
Plugging in the value of r:
A = 3.14 x ( 4.788 )²
A ≈ 71.536 inches²
Hence , the area of the circular plate is approximately 71.536 square inches
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There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a blue marble is
1/8. There are 56 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.
Answer:
There are 7 red marbles
Step-by-step explanation:
1/8=x/56
x= 56/8
x= 7
URGENT! BRAINLIEST ANSWER!!!
Answer:
H and I
Step-by-step explanation:
because the sides opposite the angles are congruent. the angles H and I are congruent
Charlie has more than 50 game coins Charlie has 8 more than 3 times as game coins as Steven if x represents the number of game coins Steven has which inequality can be used to determine the possible number of game coins Steven has
Answer: [tex]x>14[/tex]
Step-by-step explanation:
Given
Charlie has more than 50 game coins
Steven has [tex]x[/tex] coins
So, according to the question, charlie has 8 more than 3 times the steven coins i.e.
[tex]\Rightarrow 3x+8[/tex]
Also, this must be greater than 50
[tex]\therefore 3x+8>50\\\Rightarrow 3x>42\\\Rightarrow x>14[/tex]
Mr. Gurney purchased 3 dozen
eggs for $5.73. How much would it
cost to buy 5 dozen eggs?
Please tell me how to solve this and the answer :)
Find the distance between the two points rounding to the nearest tenth (In decimal).
Answer:
approximately 8.9
Step-by-step explanation:
Regard (3, -2) and (7, 6) as the two acute angle vertices of a right triangle. The horizontal leg of this triangle has the length (7 - 3) = 4, and the vertical leg 6 - (-2) = 8.
Apply the Pythagorean Theorem to find the length of the diagonal connecting these two points. This length is the distance between the two points:
d = √(4² + 8²) = √(16 + 64) = √80 + √16√5 = 4√5, or approximately 8.9
Determine the distance, in units, from (−4,−7) to (4,8).
Answer:
17
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√[4 - (-4)]² + [8 - (-7)]²
√(8)² + (15)²
√64 + 225
√289
=17
Please help I’ll make you the brainiest
Answer:
A profit is made when X>4, or after 4 thousand units.
Step-by-step explanation:
For starters the question states that for a profit to be made P(x) has to be greater than 0, and if you solve P(x) to equal 0 you get 4. Anything after 4 thousand would net the company a profit. You can also graph the equation and the x intercept, or 4 is also answer.
For how many minutes of calls with the cost of the two plans be equal?
Answer:
Let x = the number of minutes of calls
For Plan 1, we know that the monthly charge is 8 + 0.18x
For Plan 2, the monthly charge is 23 + 0.14x
To determine when the cost of the two plans will be equal, we set up the following equation:
8 + 0.18x = 23 + 0.14x
Can you solve for x, Alyssa?
Step-by-step explanation:
Can someone plz help me with the first one also it will be appreciated if u could show working out too!
Answer:
Angles in a quadrilateral add up to 360°.
[tex]90 + 3x + x + 20 + 2x + 10 = 360\\ 90 + 20 + 10 + 3x + x + 2x = 330\\ 120 + 6x = 360 \\ 6x = 360 - 120 \\ 6x = 240 \\ x = \frac{240}{6} \\ x = 40[/tex]
[tex]3x = 3 \times 40 = 120 \\ [/tex]
[tex]x + 20 = 40 + 20 = 60[/tex]
[tex]2x + 10 = 2 \times 40 + 10 = 80 + 10 = 90[/tex]
Difference between largest & smallest angles =
[tex]120 - 60 \\ = 60[/tex]
60 is the difference the largest & the smallest angle.
What is the GCF of 12,18, 24
Answer:
6
Step-by-step explanation:
12/2=6
18/3=6
24/4=6
What is the area of these
Answer:
1. 32 2. 22
Step-by-step explanation:
Count the squares, if there are half a squares it is .5 added to the total.
Please help and please dont send a link of the answer to a website :)
Answer:
well we know that top and botton are 12 and the sides are 5. there are 4 sides soo thats 4 times 5. so basically its 12x12x5x5x5x5 whick is 90000.
Step-by-step explanation:
sorry for the wait!
hope this helps!
please mark brainliest!
have a good day!
:) ;)
(if this is wrong im so sorry, i tried .;(
Find the mean of the given data.
3, 4, 5, 7, 10, 12, 15
Answer:
mean: 8
Step-by-step explanation:
Find the sum of all of the numbers:
3+4+5+7+10+12+15=56
Divide the sum by the quantity of numbers in the set:
56/7=8
Answer:
The mean= 8
Acellus sux
Step-by-step explanation:
Find the measure of the missing angles.
PLEASE HELP !
Answer:
B and C are both 92 degrees :)
Step-by-step explanation:
180-88 is 92 and C and B are vertical angles so they would both be 92 degrees.
You deposit $100 in an account that pays an annual rate of 4%. How much is in the account after 12 years?
Answer:
the answer $1,236
Step-by-step explanation:
Which function is graphed ?
Answer:
its b :) then can i help you
0/1 Solve the equation by completing the square. Round your answer to the nearest hundredth, if necessary x^2+18x=7
Answer:
The solution to the equation is x = 0.38 or -18.38
Step-by-step explanation:
x^2+18x=7 can be properly written as
[tex]x^{2} +18x =7[/tex]
To solve by completing the square, divide the coefficient of x by 2, square and then add to both sides
i.e 18/2 = 9
Then add 9² to both sides of the equation
[tex]x^{2} +18x + 9^{2} = 7 + 9^{2}[/tex]
This becomes
[tex](x+9)^{2} = 7 + 81[/tex]
[tex](x+9)^{2} = 88[/tex]
[tex]x+9 = \pm \sqrt{88}[/tex]
[tex]x = -9 \pm\sqrt{88}[/tex]
[tex]x = -9 \pm 9.38[/tex]
∴ [tex]x = -9+9.38 or -9-9.38[/tex]
[tex]x = 0.38 or -18.38[/tex]
Hence, x = 0.38 or -18.38
You deposit $100 in an
account that pays an
annual rate of 4%. How
much is in the account
after 12 years?
Answer:
5669.39
Step-by-step explanation:
What is the coordinate of the midpoint of (2, 1) and (18, 7)?
Answer:
The midpoint is (10, 4)
Step-by-step explanation:
To find the midpoint, you add the x value from the first coordinate and the x value from the second coordinate, then divide by two to get the x coordinate of the midpoint. You do the the same exact thing with the two y values to find the y coordinate of the midpoint.
2 + 18 = 20
20 / 2 = 10
1 + 7 = 8
8 / 2 = 4
(10, 4)
Hope this helps!
Answer:(10,4)
Step-by-step explanation:
Mp(x,y)=(2+18/2,1+7/2)=(10,4)
Mr. Sweeney's car can travel 195 miles on 10 gallons of gas. How far
can Mr. Sweeney travel if he buys 18 gallons of gas?
I
Answer:
Miles in 10 gallons = 195
Miles in 1 gallon = 195/10 = 19.5
Miles in 18 gallons = 19.5 × 18 = 351 miles.
Answer:
Miles travelled by the car on 10 gallons of gas = 195 miles
Miles travelled by the car in 1 gallon of gas = 195 ÷ 10 = 19.5 miles
Miles travelled by the car in 18 gallons of gas = 19.5 × 18 = 351 miles.
help me on this please and thank you
Answer: I'm prett sure its c) 60, 90, and 120
Step-by-step explanation:
Find the value of sin^-1(4pi/5)
Answer:
No value because 4π/5 exceeds the domain
Step-by-step explanation:
The domain and range of sin^-1(x) is a domain of [-1,1] and a range of [-π/2,π/2]
Since 4π/5>1, this exceeds the domain and therefore has no value.
Is -2.2, -1.1, 0.1, 1.3,... an arthmetic sequence
Answer:
answer is no
Step-by-step explanation:
People r so annoying. Delete my answer bc no step by step¿
Fine. In order o make this an arithmetic sequence, the difference between each number should be the same. It’s not same in this sequence
HELP!! I can't fail. 4 and 5 please!
Answer:
4) x = -3 or 8
Step-by-step explanation:
We factories each algebraic expression
4) x² -5x - 24 = 0
x² - 8x + 3x - 24 = 0
(x² - 8x) + (3x - 24) = 0
x(x - 8) + 3(x - 8) = 0
(x + 3)(x - 8) = 0
x + 3 = 0, x = -3
x - 8 = 0, x = 8
x = -3 or 8
HeLp! the question is on the picture.
Answer:
sin ∅ = 24/25
Step-by-step explanation:
These are the trigonometric ratios
Remember SOHCAHTOA
Sine = Opposite over Hypotenuse (SOH)
Cosine = Adjacent over Hypotenuse (CAH)
Tangent = Opposite over Adjacent (TOA)
We are asked to find sin ∅
The trig function sin = opposite over hypotenuse
so we need to find the opposite side length of the indicated angle (∅)
The opposite side length is equal to 24
Then we find the hypotenuse ( the longest side length ) which would be 25
so sin ∅ = 24/25
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
12:32
Step-by-step explanation:
there are twelve triangles n-32 total shapes
Please help! Find the greatest common factor for the following monomials:
The greatest common factor for 30 and 90 would be 30.
30 x 1 = 30 and 30 x 3 = 90
There is no letter j in the second term so rule j out.
The GCF of k^3 and k^2 would be k^2
The answer would be B. 30k^2
A triangle has two sides of length 14 and 17. What is the smallest possible whole-number length for the third side?
Answer:
The smallest possible length for the third side would be 36 whatever-the-nineteen-and-the-sixteen-unit.
Step-by-step explanation:
In a triangle, sides a+b>c, b+c>a So, we first add up the two known sides.
Now we know that "c" has to be greater than 35, the closest whole number would be 36. And because the smaller numbers, 19 and 16, are settled, we know just by the fact how just one number is greater than all of the others, using the rule that I listed from the beginning, that this will work.
Answer:
22
Step-by-step explanation:
a²+b²=c²
14²+17²=c²
c²=485
√c²=22.0227
c=22.0227
smallest whole number is 22
Number 10 please help 10 points no links pleAse
Answer:
A. (8,14)
Step-by-step explanation:
When looking at the chart pairs there is no other matching option than (8,14).
You have to look in at each column to see the pairs (ex. 8,16 and 4,10).
our points are labeled on the number line.
Which point represents the value of ∣−12∣?
438467385378732452386236532168498329
Answer:
If the point is on positive 12 its that answer
Step-by-step explanation:
