The radius of the circle on a basketball court is 6 feet. What are the approximate
circumference and area of the circle?
Circumference: 37.7 feet
Area: 113.0 square feet
Circumference: 18.8 feet
Area: 37.7 square feet
Circumference: 18.8 feet
Area: 113.0 square feet
Circumference: 12.0 feet
Area: 18.8 square feet
Answers
Answer:
C= 37.69ft
A= 113.09ft
Step-by-step explanation:
Circumference=
=37.69
Area=
Area = pi * 6 ^2
Area =113.09
Related Questions
The length of a rectangular park is twice its width.
The park is surrounded by a 3-foot-wide path.
Write a quadratic function to represent the total
area of the park and the path.
Answers
Answer:
[tex]A=2x^2+18x+36[/tex]
Step-by-step explanation:
Quadratic Function
It's given the length of a rectangular park is twice its width.
Let's call:
x = width of the rectangular park
2x = length of the rectangular park
The park is surrounded by a 3-foot-wide path. This path adds 3 ft twice to both dimensions, i.e.:
x+3+3=x+6 width of the park and the path
2x+3+3=2x+6 length of the park and the path
The total area is:
A=(x+6)(2x+6)
Operating:
[tex]A=2x^2+6x+12x+36[/tex]
[tex]\boxed{A=2x^2+18x+36}[/tex]
Tell whether the ordered pair is a solution of the given system:
(0,0) ; {y<-x+3
{y
Answers
Answer:
yes the ordered pair is a solution
Step-by-step explanation:
(x, y) = (0,0)
y < -x + 3
0 < - (0) + 3
0 < 3
true, ordered pair is a solution
1. What is the simple interest on $2500 invested at an interest rate of 6%
for 2 years?
Answers
Answer:
[tex]\boxed {\boxed {\sf \$300.00}}[/tex]
Step-by-step explanation:
The formula for simple interest is:
[tex]I=P*R*T[/tex]
where P is the principal amount of money, R is the interest rate as a decimal, T is the time.
We know the principal amount is $2500, the interest rate is 6%, and the time is 2 years.
We must convert the interest rate to a decimal.
Divide by 100 or move the decimal place two spots to the left. 6/100=0.06 or 6.0 --> 0.6 --> 0.06Now we know all the values.
[tex]P= 2500 \\R= 0.06 \\T= 2[/tex]
Substitute the values into the simple interest formula.
[tex]I= (2500)(0.06)(2)[/tex]
Multiply.
[tex]I=(2500)(0.12)\\I=300= \$ 300[/tex]
The simple interest is $300.00
[tex] \sf• \: Principle (p) = \$ \: 5200[/tex]
[tex] \sf• \: Rate \: of \: interest (r) = 6 \: \% = \frac{6}{100} [/tex]
[tex] \sf• \: Time \: (t) = 2 \: years[/tex]
[tex] \\[/tex]
[tex] \bf \underline{To \: Find :-}[/tex][tex] \sf• \: The \: Simple \: Interest \: (I)[/tex]
[tex] \\ [/tex]
[tex] \bf \underline{Solution :-}[/tex][tex] \sf We \: know \: that, [/tex]
[tex] \red {\bigstar\bf { \: I = prt}}[/tex]
[tex]⟹I = 2500 \times \frac{6}{100} \times 2[/tex]
[tex]⟹I = 300[/tex]
[tex] \\ [/tex]
[tex] \bf \blue{Hence, \: the \: \: Simple \: \: Interest \: \: is \: \: \$ \: 300. }[/tex]
Which of the following is equivalent to x4 - y4? Select all that apply.
(-y)(x + y)3
(x2 - y2)2
(x - y)2(x + y)2
O 62 - y2)(x2 + y2)
o 6-y)6+y)(x2+x2)
Answers
Answer: (x^2-y^2) (x^2+y^2) and (x-y)(x+y)(x^2+y^2)
Step-by-step explanation:
(x2 − y2) (x2 + y2)Expand (x2 − y2) (x2 + y2) using the FOIL Method.
Apply the distributive property.
x^2 (x^2 + y^2 ) − y^2 (x^2 + y )
Apply the distributive property.
x^2 x^2 +x^2 y^2 - y^2 (x^2 y^2 )
Apply the distributive property.
x^2 x^2 + x^2 y^2 - y^2 x^2- y^2 y^2
Combine the opposite terms in x^2 x^2 + x^2 y^2 - y^2 x^2 - y^2 y^2.
Reorder the factors in the terms x^2 y^2 and − x^2 y^2.
x^2 x^2+ x^2 y^2 - x^2 y^2 - y^2 y^2
Subtract 2 2 from 2 2.
x^2 x^2+ 0 - y^2 y^2
Add 2 2 and 0.
x2 x2- y2 y2
Simplify each term.
Multiply x2 by x2 by adding the exponents.
x^4 − y^2y^2
x^4 − y^4
(x-y)(x+y)(x^2+y^2)(x − y) (x + y) (x^2 + y^2)
Expand (x − y) (x + y) using the FOIL Method.
(x ⋅ x + xy − yx − y ⋅ y) (x^2 + y^2)
Combine the opposite terms in x ⋅ x + xy − yx − y ⋅ y.
(x ⋅ x − y ⋅ y) (x^2 + y^2)
(x^2 − y^2) (x^2 + y^2)
Expand (x^2 − y^2) (x^2 + y^2) using the FOIL Method.
Apply the distributive property.
x^2 (x^2 + y^2) − y^2 (x^2 + y^2)
Apply the distributive property.
x^2 x^2 + x^2y^2 - y^2 (x^2 + y^2)
Apply the distributive property.
x^2 x^2 + x^2 y^2 - y^2 x^2 - y^2 y ^2
Combine the opposite terms in x^2x^2 + x^2y^2 − y^2x^2 − y^2y^2.
x^2x^2 − y^2y^2
x^4 − y^4
please give me brainliest :)
Find the solution of the system of equations. 9x +y = 28 3x + 3y = -12
Answers
Answer:
x is equal to four, and y is equal to negative eight.
Step-by-step explanation:
Let's solve it rearranging the first equation to define y:
9x + y = 28
y = 28 - 9x
Now we plug it in to the second equation:
3x + 3y = -12
3x + 3(28 - 9x) = -12
And solve for x:
3x + 84 - 27x = -12
-24x = -96
x = 4
Now we can plug that x value into one of the original equations to find the value of y
9x + y = 28
36 + y = 28
y = 28 - 36
y = -8
Let's test our answer by plugging that y value into the other equation, and seeing if we get the same x value:
3x + 3y = -12
3x + 3(-8) = -12
3x - 24 = -12
x - 8 = -4
x = 4
So we know our answer is correct.
jackson has $19 savings account the interest rate is 15% per year and is not compounded how much will he have in 3 years? use formula i=p*r*t, where i is the interest earned, p is the starting amount, r is the interest rate expressed as a decimal, and t is the times in years.
Answers
Answer:
I = 19 X 0.15 X 3= 8.55
I = $8.55
If you layered 100000 cubes to make one big cube what would the dimensions of the big cube
Answers
Answer:
The dimensions of the cube would be:
Base: 46,42 units approx.Height: 46,42 units approx.Width: 46,42 units approx.Step-by-step explanation:
For this exercise, I suppose the measure of each cube is 1 unit, because there no says what is (you can replace it for ft, in, or another unit you need). How the big cube is formed by the 100.000 cubes smaller, and how a cube has its three measures equal: base, height, and width, you only need to obtain the cubic root of the total cubes (you use cubic root because you're gonna calculate a cube, for example, if you'd wanna calculate a square, you must obtain the square root of the total cubes):
[tex]\sqrt[3]{100.000} = 46,41588834[/tex]How each cube measure is 1 unit, when you calculate the volume of the cube with the value obtained, you must obtain the total of the cubes:
Volume of the cube= base * height * width Volume of the cube= 46,41588834 * 46,41588834 * 46,41588834 Volume of the cube= 100.000In this form, you know the answer 46,41588834 is the right answer. I use the number with just two decimals (46,42 approximately) but you can use the complete number if you need.
What number goes in the “?”
? - 2x - 5 = 5
Answers
x - 2x - 5 = 5
Next, combine alike terms:
[ x - 2x ] - 5 = 5
^ alike terms
This will result in:
-x - 5 = 5
You do the inverse (opposite) of -5
-x -5 = 5
+5
Once you do the plus 5, the five moves to the end of the equation:
-x - 5 = 5 + 5
+5>>>>>^
The “-5” no longer exists because you canceled it with the “+5” that you moved to the other side.
The new equation:
-x = [5 + 5]
^ you add these two
After adding you get:
-x = 10
When putting “x” into a number it will ALWAYS be 1.
You then divide both sides by the “x” (which is -1 since it it always equal to one but is negative because it has a negative sign on it)
Your new equation:
-x / -1 = 10 / -1
If you divide to negatives, this will result in a positive.
You’re left with:
-x / -1 = x (since two negatives become a positive result)
10 / -1 = 10 (if there’s a negative and positive when dividing, it will automatically become negative) [ONLY FOR DIVISION]
At the end you’re left with:
x = -10
hope this helps!! if not feel free to reach out to me!!
18.
Can someone help me with this?
Answers
Answer: A
Step-by-step explanation:
the city of west park has population of 11,000 people. it’s population is decreasing at the rate of 4.5% each year. find the population in 25 years
Answers
9514 1404 393
Answer:
3479
Step-by-step explanation:
Each year, the population is multiplied by 1 - 4.5% = 0.955. After 25 years, the population will have been multiplied by 0.955^25 ≈ 0.316289. At that time, the population will be approximately ...
11000 · 0.316289 ≈ 3479
The sequence below shows the number of bacteria Arjun observed each hour for a science experiment:
5, 20, 80, 320, 1, 280,...
Which recursive function describes the number of bacteria observed at the nth hour?
Answers
Answer: f(1) =5
f(n+1)=4f(n)
Step-by-step explanation:
Lix wants to by a shirt for $25. What is the total cost with a 4.1% sales tax? Round to NEAREST CENT.
Answers
Answer:
about $26.00
Step-by-step explanation:
$25/100 = 0.25 for 1%
1% times 4.1 = 1.025 in sales tax
plus 25 equals 26.025
round to the nearest cent = $26.00
Car Survey In a survey of 1,300 people who owned a certain type of car, 910 said they would buy
that type of car again. What percent of the people surveyed were satisfied with the car?
% of the people surveyed were satisfied with the car.
Answers
Answer: let
Total number of those who took part in the survey (T) = 1300
Those were satisfied with the car(t)=910
Percentage of those who are satisfied (S)= (t/T)*100
S=(910/1300)*100
S=70%
Therefore 70% were satisfied
Step-by-step explanation:
how to do area for this problem
Answers
the answer is 568 in in degrees tysm
If h = 12 units and r= 4 units, what is the volume of the cone shown above?
Use 3.14 for .
A.
12.56 cubic units
B.
50.24 cubic units
C.
200.96 cubic units
D. 602.88 cubic units
Answers
A triangle has a perimeter represented by the expression 9x + 7
A square has a side length represented by 4x – 3.
Which expression represents the total perimeter of the two figures?
A) 20x
B) 4x2 + 9x – 5
C) 13x + 4
D) 25x – 5
Answers
Answer:
D. 25x-5
Step-by-step explanation:
you need to add all the sides of the square to get 16x-12 and then add 9x+7 to get D.
please help me on this will give you brainliest
Answers
Answer:
876
Step-by-step explanation:
since i helped can i have brainlist please :D
y= -5/3x + 3
y= 1/3x - 3
Answers
Answer:
y =-2/3x
x = 1
Step-by-step explanation:
adding both equations and then we find the value of y which is given below
y = -2/3x
and then putting the value of y in any above equation then we find the value of X which is given below
X = 1
Which expression uses the greatest common factor and the distributive property to rewrite the sum 64 + 32? 16(4+2) 8(8+4) 32(2)+1 32(2+1)
Answers
Step-by-step explanation:
Since 64 = 32 * 2 and 32 = 32 * 1,
64 + 32 = 32(2 + 1).
16(4 + 2) is wrong as 4 and 2 have a GCF of 2.
8(8 + 4) is wrong as 8 and 4 have a GCF of 4.
32(2) + 1 is the wrong application of the distributive property.
Answer:
64+32=32(2+1) is greatest common factor
Which of the following is not a geometric tool?
A.Compass
B.Pen
C.Protractor
D.Set Squares
Answers
Answer:
C. Protractor
Answer:
A
Step-by-step explanation:
A compass is for directions.
Please help :( I will mark brainliest.
Answers
Answer:
The value of x is 29.
Step-by-step explanation:
→ The angles arent congruent, they are supplementary.
→ Supplementary angles equals 180 degrees.
→ The equation looks look:
[tex]2x - 10 + 4x + 16 = 180[/tex]
→ Let's solve the equation.
[tex]2x - 10 + 4x + 16 = 180 \\ 6x + 6 = 180 \\ \frac{ \: \: \: \: \: - 6 = - 6}{ \frac{6x}{6} = \frac{174}{6} } \\ x = 29[/tex]
→ Therefore, the value of x is 29.
What is the value of cos if the terminal side is the line 3x - 4y = 0, x < 0
4/5
3/5
-4/5
-3/5
Answers
I need help ASAP. I am terrible at math
Answers
Answer:
1.y=2/3x +9
2.y=-7x+(-3)
Step-by-step explanation:
Find the value of x
Answers
Step-by-step explanation:
By Exterior Angle Theorem, the sum of the 2 inner angles of the triangle is equal to the exterior angle by a straight line.
Therefore we have x + 72° = 90° + 34°.
=> x + 72° = 124°, x = 52°.
Hence the value of x is 52°.
Hope this helps
Have a great day/night
PLEASEE HELP ASAP IM BEGGIMG YOUUUUUU
I WILL GIVE BRAINLIEST ASAP
Answers
Answer:
Below
Step-by-step explanation:
Problem 1
Blank 1 = 6
Blank 2 = 17
(5*3)+2
Blank 3 = 4
(4*1)
Problem 2
Blank 1= (-5)^3=-5*-5*-5=-125
Blank 2= 18
(6*3)
Blank 3= 12
(4*3)
Jimmy is eating appetizers that have 120 calories each. He only plans to eat 550 calories overall.
Write an inequality and determine the most appetizers he can eat without exceeding the limit.
Answers
Answer:
4
Step-by-step explanation:
Jimmy is eating appetizers that
have 120 calories each. He only
plans to eat 550 calories overall.
Write an inequality and determine
the most appetizers he can eat
without exceeding the limit.
He can eat 4.
PLEASE HELP I WILL GIVE BRAINLEIST PLEASE ALSO SHOW STEPS!!!!!!
Write the equation of a line that passes through the point (-1,5) and has a slope of -7. Your answer should be given in the form y = mx + b
Answers
Answer:
The equation of a line that passes through the point (-1,5) and has a slope of -7 will be:
y = -7x-2Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven
The point (-1, 5)Slope m = -7substituting m = -7 and the point (-1, 5) in the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
5 = -7(-1) + b
5 = 7+b
b = 5-7
b = -2
Thus, the y-intercept is: b = -2
now substituting b = -2 and m = -7 in the slope-intercept form of the line equation
y = mx+b
y = -7x+(-2)
y = -7x-2
Therefore, the equation of a line that passes through the point (-1,5) and has a slope of -7 will be:
y = -7x-2lmkk if u know this, i need sum help
Answers
use cos to get an equation and then solve.
Does this table represent a proportional relationship?
A) Yes
B) No
Answers
Answer:
a
Step-by-step explanation:
it is all doubles
Help asap ...................
Answers
Answer:
One: Median = 2
Two: Mean = 3.25
Step-by-step explanation:
One
Put the dots in order
1 1 1 2 2 3 3
There are seven groups altogether.
The middle one is a 2.
The median is 2.
Two
The mean is the average.
The average of the 4 groups is
1 3 6 3 = 13
The average is the sum of the dots.
13/4 = 3.25