a circle with a circumference of 40.82 centimeters what is the area of the circle is 3.14 for pi
You need two formulas for this:
C = πd or C = 2πr ( d = 2r ) Where C is circumference and d is diameter, r is radius
A = πr² Where A is area, and r is radius
First you get the diameter and radius by substituting the value of pi and circumference. With that, you can calculate the Area of the circle with the second formula. square² the radius then multiply it to 3.14. Remember that radius is half of diameter.
Answer:
[tex]\boxed {\boxed {\sf a=132.665 \ cm^2}}[/tex]
Step-by-step explanation:
1. Find the Radius
We are given the circumference of 40.82 centimeters. The formula for circumference is
[tex]c=\pi d[/tex]
The diameter is twice the radius, so we can also write this formula as:
[tex]c= \pi 2r[/tex]
Substitute 40.82 for the circumference and use 3.14 for pi.
[tex]40.82 \ cm= (3.14) 2r[/tex]
[tex]40.82=6.28 r[/tex]
6.82 and r are being multiplied. The inverse of multiplication is division. Divide both sides by 6.82
[tex]\frac{40.82 \ cm}{6.28}=\frac{6.28 r}{6.82}[/tex]
[tex]6.5 \ cm=r[/tex]
2. Calculate the Area
Now we can calculate the area using this formula:
[tex]a= \pi r^2[/tex]
The radius is 6.5 centimeters and we are using 3.14 for pi.
[tex]a= 3.14(6.5 \ cm)^2[/tex]
Solve the exponent.
(6.5 cm)²= 6.5 cm * 6.5 cm=42.45 cm²[tex]a= 3.14 (42.45 \ cm^2)[/tex]
Multiply.
[tex]a=132.665 \ cm^2[/tex]
The area is 132.665 square centimeters.
If the blue radius below is perpendicular to the chord , which is 14 units long, what is the length of the segment ?
Answer:
The answer is 7 bc 7 is half of 14
Step-by-step explanation:
Convert to equation: four times a number increased by 8 is 24
Answer:
4*4
Step-by-step explanation:
since 4 times 4 is 16 then if you add 8 its 24
what does the E stand for in 3.1536e+17
Answer:
well e stands for like what you multiply
Step-by-step explanation:
like well here is an example y=16e and you have to find what e stands for so E=
Which of the following is the equation for the graph shown?
Answer:
y
+
0
=
0
⋅
(
x
+
5
)
Step-by-step explanation:
Select all the points that are on the graph of the function defined by y = 2x + 3
a. (-4,3)
b. (-1,1)
C. (0,0)
d. (2,7)
e. (3,9)
f. (3,12)
g. (4.5, 12)
Answer:
b, d, e, g are the points
The coordinates (-, 1), (2, 7), (3, 9) and (4.5, 12) are the points that are on the graph of the function. Therefore, the options B, D, E and G are the correct answers.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is y=2x+3.
A) Substitute (x, y)=(-4, 3) in y=2x+3, we get
3=2(-4)+3
3≠-5
B) Substitute (x, y)=(-1, 1) in y=2x+3, we get
1=2(-1)+3
1=1
C) Substitute (x, y)=(0, 0) in y=2x+3, we get
0≠3
D) Substitute (x, y)=(2, 7) in y=2x+3, we get
7=2(2)+3
7=7
E) Substitute (x, y)=(3, 9) in y=2x+3, we get
9=2(3)+3
9=9
F) Substitute (x, y)=(3 12) in y=2x+3, we get
12=2(3)+3
12≠9
G) Substitute (x, y)=(4.5, 12) in y=2x+3, we get
12=2(4.5)+3
12=12
Therefore, the options B, D, E and G are the correct answers.
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question: find the value of t
Answer:
t = 5
Step-by-step explanation:
since those 2 angles make up 180 degrees turn it into an equation
20t + 5 + 15t = 180
combine like terms 20t + 15t = 35t
the equation is now 35t + 5 = 180
subtract 5 from both sides, 5 - 5=0, 180 - 5 = 175
35t = 175
now divide each side by 35, 35t/35 = t, 175/35= 5
t = 5
hope this helps :)
Answer:
5
Step-by-step explanation:
Line (which has the the equation)= 180
So,
15t + 20t + 5 = 180
35t + 5 = 180
35t = 180 - 5
35t = 175
t = 175/35
t = 5
Dakota arrived at school at 7:59 a.m. He left at 2:33 p.m. How long was Dakota at school
Answer:
6 hours and 34 minutes
Step-by-step explanation:
If we add 1 minute to 7:59 it is 8 which makes it easier to see the length of time. Then we add that 1 back in to find the exact amount of time Dakota was in school.
Brainliest please . . . .
PLS HELP 5TH GRADE MATH GIVING BRAINLIEST TO CORRECT ANSWER
9514 1404 393
Answer:
line A
Step-by-step explanation:
The "+6" in the equation is the y-intercept. That is the point where the graph crosses the y-axis. Line A has a y-intercept of 6, so that is the graph of the equation.
5. Simplify the expression.
-3+5n+14n+7
Help me please answer thanks
How many solutions does this equation have?
10n + 8 = 3 + 10n
A new car is purchased for 24800 dollars. The value of the car depreciates at 12% per year. What is the y-intercept (starting value)? *
Answer:
$24,800
Step-by-step explanation:
that's how much the car costs at year 0
Answer:
Step-by-step explanation:
The starting value, y intercept, is just the initial value as it has not depreciated when time or x is zero.
The equation described is y=24800(0.88)^x
Help.Find the length of y
p is directly proportional to the square of q. it is known that p=12 for a certain value of q. find the value of p when q is doubled
===========================================================
Explanation:
We're told that "p is directly proportional to the square of q", which means that we have the equation
p = k*q^2
for some constant k
Replace p with 12 because we're also told that p = 12.
So we now have this equation
12 = k*q^2
which is the same as
kq^2 = 12
We'll use this later.
-----------------------
Let's go back to the original equation. We'll replace q with 2q to represent the value of q doubling
p = k*q^2
p = k*(2q)^2 ... replace q with 2q
p = k*4q^2
p = 4k*q^2
p = 4*(kq^2)
p = 4(12) ...... replace kq^2 with 12
p = 48
Therefore, if q is doubled, then p = 12 quadruples to p = 48.
Angus has a big test coming up. Should he stay up and study or go to bed early the night before the test? Defend your recommendation.
Answer:
he should study
Step-by-step explanation:
(1) Find values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.
Answer:
option D
Step-by-step explanation:
option D is the correct answer .
plz mark my answer as brainlist.
determine if f (x) = -x^3 + 4x^2 +7x - 6 is a odd or even degree
Answer:
Neither
Step-by-step explanation:
It has a y intercept, which is -6, which changes the whole graph, so its neither
Answer:
odd
Step-by-step explanation:
the leading term of the polynomial (the term in a polynomial which contains the highest power of the variable) is -x^3
the degree is 3, which is odd
1. Does each relation represent a function? Circle Yes or No. a. (2, 2), (2, 6), (3, 5), (1,8) Yes No b. (1, 2), (2, 3), (3, 4), (4, 5) Yes No c. (1, 4), (2, 6), (3, 6), (4, 8) Yes No d. (4, 3), (4, 4), (4, 5), (4, 6) Yes No
Sam surveyed his classmates to find out if they played a sport after school or practiced in the
school band
- 14 of his classmates played a sport
- of those 14 who played, 5 participated in the school band
- 8 students played in the school band, and out of those 8, 3 did not play sports
- there were 10 students who did not play a sport nor participate in the school band
Create a two way table to represent the data and answer the following questions
Answer:Sam surveyed his classmates to find out if they played a sport after school or practiced in the
school band
- 14 of his classmates played a sport
- of those 14 who played, 5 participated in the school band
- 8 students played in the school band, and out of those 8, 3 did not play sports
- there were 10 students who did not play a sport nor participate in the school band
Create a two way table to represent the data and answer the following questions
Step-by-step explanation:
Here is a two-way table that represents the given data:
Look at the pic
To create this table, we first divided the students into two categories: those who play a sport and those who do not. Then, we further divided each category into those who play in the school band and those who do not.
From the table, we can answer the following questions:
How many students did Sam survey in total?
To find the total number of students surveyed, we can add up the values in the table:
14 + 5 + 3 + 9 + 10 = 41
Therefore, Sam surveyed a total of 41 students.
How many students played a sport but did not participate in the school band?
From the table, we can see that 14 students played a sport, and 5 of those also participated in the school band. Therefore, the number of students who played a sport but did not participate in the school band is:
14 - 5 = 9
So, 9 students played a sport but did not participate in the school band.
How many students did not play a sport but participated in the school band?
From the table, we can see that 8 students played in the school band, and 3 of those did not play a sport. Therefore, the number of students who did not play a sport but participated in the school band is:
8 - 3 = 5
So, 5 students did not play a sport but participated in the school band.
Hope this helps <3
Please give me Brainliest :)
Solve for G
6G = -72
(show your work)
Answer:
-12
Step-by-step explanation:
6G = -72
G = -72 / 6
G = -12
Colleen's movie collection contains 8 movies, including 4 romance movies. What is the probability that a randomly selected movie will be a romance movie?
Answer: 1/2
Step-by-step explanation:
There are 8 movies in total.
4 of those movies are romance movies.
The probability of picking a romance movie is the proportion of romance movies to the total number of movies.
= Number of romance movies / Number of total movies
= 4 / 8
= 1 / 2
Answer:
1/2
Step-by-step explanation:
2. The equation y = -7x - 5 and another equation have a solution of (-2, 9). Which of the
following could be the second equation?
Oy= *x + 10
O y=2x+5
Oy=-*+7
O y=3x-3
Which points define the solution set of this linear-quadratic system of equations?
A. Point A & B
B. Point D & F
C. Point C & E
D. Point B & D
Answer:
point D y F ese el la respuesta
whoever knows how to solve this please help!
Answer:
418ft²
Step-by-step explanation:
Find the surface area of both triangle shaped sides.
8 * 12 = 96
96 / 2 = 48 (surface area of one triangular side)
48 * 2 = 96
Find the surface area of both square shaped sides.
10 * 10 = 100
100 * 2 = 200
Find the surface area of the rectangular base side.
12 * 10 = 120
Add everything together.
96 + 200 + 120 = 418
Best of Luck!
Alternate interior and alternate exterior angles can be congruent
True or false
Plss answer
Answer:
it's false
Step-by-step explanation:
hope it's correct
Evaluating 1/4 check all that apply the base is 1/4 the expanded form is 1/4 1/4 1/4 the expanded form is 1x1x1x1/4 1/4 2 = 1/4 1/4 3 = 1/64
Answer:
[tex](\frac{1}{4})^3 = \frac{1}{64}[/tex]
Step-by-step explanation:
Given
[tex](\frac{1}{4})^3[/tex]
Required: Evaluate
The options are not clear. So, I'll answer without considering the options:
[tex](\frac{1}{4})^3[/tex]
Apply law of indices:
[tex](\frac{1}{4})^3 = (\frac{1}{4}) * (\frac{1}{4}) * (\frac{1}{4})[/tex]
Remove brackets
[tex](\frac{1}{4})^3 = \frac{1}{4} * \frac{1}{4} * \frac{1}{4}[/tex]
Combine
[tex](\frac{1}{4})^3 = \frac{1*1*1}{4*4*4}[/tex]
[tex](\frac{1}{4})^3 = \frac{1}{64}[/tex]
Answer988
Step-by-step explanation:
A line passes through the point (-4,7) and has a slope of 3/2
Write an equation in slope-intercept form for this line.
Answer:
[tex]y=\frac{3}{2}x + 13[/tex]
Step-by-step explanation:
Given that [tex]x_{1}[/tex] = -4 and [tex]y_{1}[/tex] = 7 (from the point given) and m = [tex]\frac{3}{2}[/tex], we will use the equation [tex]y - y_{1} =m(x-x_{1})[/tex]. Therefore, when we substitute the given values to the equation:
y - y1 = m(x - x1)
y - 7 = 3/2(x - (-4))
y - 7 = 3/2(x + 4)
y - 7 = 3/2x + 6
y = 3/2x + 6 + 7
y = 3/2x + 13
y=3/2x+13 is the equation of line in slope-intercept form
What is slope intercept form of line?
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
Given that a line passes through the point (-4,7)
The slope of the line is 3/2.
We need to find the equation in slope-intercept form for this line
Let us find the y intercept of line
7=3/2(-4)+b
7=-6+b
13=b
So slope intercept form is y=3/2x+13
Hence, y=3/2x+13 is the equation of line in slope-intercept form
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Jace invested $380 in an account paying an interest rate of 6.2% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 15 years?
Answer: 960
Step-by-step explanation:
Find the slope of any line parallel to the lien through the given points (3,2),(3,1)
Answer:
m = undefined
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Parallel lines have the same slope but different y-interceptsAn undefined line is a vertical lineSlope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, 2)
Point (3, 1)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{1-2}{3-3}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-1}{0}[/tex]Simplify: m = undefined