Answer:
Perimeter of NCAA court=288 feet
Perimeter of new court=259.2 feet
Step-by-step explanation:
We are given that
Length of NCAA court, l=94 feet
Width of NCAA court, b=50 feet
Width of new court, b'=45 feet
We have to find the perimeter of an NCAA court and new court in the school.
Perimeter of NCAA court=[tex]2(l+b)[/tex]
Perimeter of NCAA court=[tex]2(94+50)[/tex]feet
Perimeter of NCAA court=288 feet
When two rectangles are similar then the ration of their corresponding sides are equal.
Using the property
[tex]\frac{Perimeter\;of\;NCAA\;court}{Perimeter\;of\;new\;court}=\frac{Width\;of\;NCAA\;court}{Width\;of\;new\;court}[/tex]
[tex]\frac{288}{Perimeter\;of\;new\;court}=\frac{50}{45}[/tex]
Perimeter of new court=[tex]\frac{288\times 45}{50}[/tex] feet
Perimeter of new court=259.2 feet
The perimeter of the NCAA basketball ground is 288 feet, while the school basketball ground is 259.2 feet.
Given to us,
For NCAA basketball court,
Length, [tex]\bold {L_{NB}}[/tex] = 94 feet,
Width, [tex]\bold {W_{NB}}[/tex] = 50 feet,
For School basketball court,
Width, [tex]\bold {w_{school}}[/tex] = 45 feet,
As discussed in the question, school basketball court will be similar to an NCAA basketball court. Thus, they will be in ratio,
[tex]\bold {\dfrac{L_{NB}}{W_{NB}} = \dfrac{l_{school}}{w_{school}}}[/tex]
Substituting the value,
[tex]\bold {\dfrac{94}{50} = \dfrac{l_{school}}{45}}[/tex]
[tex]\bold{ l_{school} = \dfrac{94\times 45}{50}}[/tex]
[tex]\bold{ l_{school} = 84.6 }[/tex]
We know that, perimeter of rectangular = 2(length+width),
[tex]\begin{aligned}Perimeter_{NB}&= 2(length+width)\\&= 2(94+50)\\&= 288 \end{aligned}[/tex]
[tex]\bold{\begin{aligned}Perimeter_{school}&= 2(length+width)\\&= 2(84.6+45)\\&= 259.2\end{aligned}}[/tex]
Hence, the perimeter of the NCAA basketball ground is 288 feet, while the school basketball ground is 259.2 feet.
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Help me find the volume of the composite figure
Answer:
[tex]V = 97.911in^3[/tex]
Step-by-step explanation:
Given
Shapes: Cube and Cone
Required
Determine the volume
First we calculate the volume of the cube
[tex]V_1 = l^3[/tex]
Where
l = side length = 5.1
[tex]V_1 = 5.1^3[/tex]
[tex]V_1 = 132.651[/tex]
Next, calculate the volume of the cone using:
[tex]V_2 = \frac{\pi r^2h}{3}[/tex]
Where
h = 5.1
[tex]r = \frac{1}{2} * Diameter[/tex]
[tex]r = \frac{1}{2} * 5.1[/tex]
[tex]r = 2.55[/tex]
So, we have:
[tex]V_2 = \frac{\pi r^2h}{3}[/tex]
[tex]V_2 = \frac{\pi * 2.55^2 * 5.1}{3}[/tex]
[tex]V_2 = \frac{22 * 2.55^2 * 5.1}{7*3}[/tex]
[tex]V_2 = \frac{729.5805}{21}[/tex]
[tex]V_2 = 34.74[/tex]
The volume of the figure is:
[tex]V=V_1 - V_2[/tex]
[tex]V_1 = 132.651[/tex]
[tex]V = 132.651 - 34.74[/tex]
[tex]V = 97.911in^3[/tex]
Expand. Your answer should be a polynomial in standard form. (d^2+3)(d^2+2d+1)=(d 2 +3)(d 2 +2d+1)=left parenthesis, d, squared, plus, 3, right parenthesis, left parenthesis, d, squared, plus, 2, d, plus, 1, right parenthesis, equals
Answer:
A= d^4-d^2-6
Step-by-step explanation:
I have khan academy and the other answer is wrong
Christine is selling tickets at a museum. She knows that she has sold at least 40 tickets. The adult tickets
cost 14 dollars and the children’s tickets cost 12 dollars. If she knows she has sold no more than $720 worth
of tickets, what are the possible combinations?
Answer:
Adult tickets cost $80, children ticket cost $40
Step-by-step explanation:
Given data
let the number of adults be x
and the number of children be y
so
x+y= 40-------------1
The adult tickets
cost 14 dollars and the children’s tickets cost 12 dollars.
14x+ 12y= 720-------2
solve 1 and 2
x+y= 40
14x+ 12y= 720
from 1
x= 40-y
put this in 2 in place of x
14(40-y)+12y= 720
560-14y+12y= 720
collect like terms
-2y= 720-560
-2y= 160
y= -160/2
y= -80
put y= 80 in 1
x+80= 40
x= 40-80
x= -40
Hence Adult tickets cost $80, children ticket cost $40
True or False: If you are tossing three dice, ={2,3,4,5,6}
is an event in that sample space.
false
true
I think is true
Please let me know if it right
Drag each tile to the correct box
Consider the graph of the function () = ?
Match each transformation of function to feature of the transformed function
asymptoteoly = 2
function decreases as x increases
terceptar )
interceptat (0,4
10) - (+ 2)
Answer:
g(x) = 2f(x) -------> y-intercept at (0,2)
h(x) = f(x)+2 -------> asymptote of y=2
j(x) = f(x+2) -------> y-intercept at (0,4)
m(x) = function decreases as x increases
From the graph that's given, the correct matching of the functions will be:
g(x) = 2f(x) --- y-intercept at (0,2)h(x) = f(x)+2 ---- asymptote of y=2j(x) = f(x+2) ---- y-intercept at (0,4)m(x) = function decreases as x increasesWhat is a function?It should be noted that a function simply means a relation between the inputs and the outputs.
A function from a set X to a set Y is vital in assigning to each element X exactly an element of Y.
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23)
B
E
с
D
ntific
Ic
If ABCD is a square, what is mZAEB?
ght
A)
30°
ing
33
ols
B)
45°
60°
D)
90°
Answer:
90 degrees
Step-by-step explanation:
Step 1: State what is known
Notice that the 2 lines cut the square in half and create 4 congruant triangles. We know a full circle is 360 degrees and the intersection is a perfect circle formed by 4 angles. We can find the angle AEB by dividing 360 by 4 which gives you 90 degrees
help me with this fast and explain it for brainiest :)
So i think it would be 1/2 (OR .5), or possibly 2 depending on what its asking.
Every number in X can be multiplied by 2 to receive y, or the numbers in y.
The linear equation would be x*2=y, making the linear function 2, UNLESS you want to take Y and DIVIDE it by 2, making it 1/2, linear equasion would be y*.5=x, or y/.5=2 OR y*1/2=x.
Hope this helps, I'm so sorry if its wrong, I'm not too good at linear functions, I'm pretty sure its 1/2.
If you can buy 4 containers of pudding for $4.20 how much can you buy for $9.45 math problem
Answer:
9
Step-by-step explanation:
4.20 / 4 = 1.05
105 x 9 = 9.45
Jada has read 7/10 of a book. The book has 80 pages. How many more pages does she need to read before she is done with the book?
Answer:
24 More Pages
Step-by-step explanation:
7/10=0.7=70%
70% of 80 = 56
80 - 56 = 24
24 More Pages
Answer: 24 pages
Step-by-step explanation:
7 x
10 80
560=10x
÷10 ÷10
56=x
56 pages already read
80-56=24
24 pages left
The U.S. Senate has 100 members. After a certain election, there were 20 more Democrats than Republicans, with no other parties represented. How many members of each party were there in the Senate?
In ΔABC , angle C is a right angle.
Which statement must be true?
A.sin A = cos B
B.sin A = tan B
C.sin B = tan A
D.sin B = cos B
Answer: Choice A. sin(A) = cos(B)
============================================================
Explanation:
The rule is that sin(A) = cos(B) if and only if A+B = 90.
Note how
sin(A) = opposite/hypotenuse = BC/ABcos(B) = adjacent/hypotenuse = BC/ABSince both result in the same fraction BC/AB, this helps us see why sin(A) = cos(B). Similarly, we can find that cos(A) = sin(B).
In the diagram below, the angles A and B are complementary, meaning they add to 90 degrees. So this trick only applies to right triangles.
The side lengths can be anything you want, as long as you're dealing with a right triangle.
HELP PLEASE. DUE MIDNIGHT
Answer:
(-1, -5)
(0, 3)
(1, 11)
(2, 19)
(3, 27)
The numbers that are bolded are the answers for the empty boxes in the y row.
Step-by-step explanation:
To find the answer, just plug each number in the x row to the equation: y = 8x + 3
Example:
y = 8x + 3
8(-1) + 3
-8 + 3
y = -5
y = 8x + 3
8(0) + 3
0 + 3
y = 3
y = 8x + 3
8(1) + 3
8 + 3
y = 11
What is the remainder for 1,259/6?
Answer:
209 R 5
Step-by-step explanation:
Hope this helps
Answer: 209.833333333
Step-by-step explanation:
1259 6 = 209.833333333
209.833333333 = 2098.33333333 to the nearest tenth
209.833333333 = 209.83 to the nearest hundredth
209.833333333 = 209.833 to the nearest thousandth
= 0 to the nearest tenth
= 0 to the nearest hundredth
= 0 to the nearest thousandth
Other Divisions Math homework are
1259 divide by half plus 20
HWA: (1259/2) + 20 = 649.5
1259 divide by half plus 40
HWA: 1259/2) + 40 = 669.5
1259/6 divided by 2
Answer: (1259/6) ÷ 2 = 104.916666667
Yep me out please where can I found the value of x in the triangle at the right?
4x+25=57
valor de x por favor
Answer:
4x=8
Step-by-step explanation:
4x=32
32/4=8
Answer:
x=8
Step-by-step explanation:
4x+25=57
Subtract 25 from both sides:
4x+25-25=57-25
Simplify:
4x=32
Divide both sides by 4:
4x/4=32/4
Simplify:
x=8
Which linear inequality represents the graph below?
(0,4)
(2,4)
Answer:
c
Step-by-step explanation:
slope of red line=(-4-4)/(2-0)=-8/2=-4
eq. of red line is y-4=-4(x-0)
y=-4x+4
put x=0,y=0
0=0+4
which is true if 0<4
so y<-4x+4
The linear inequality represents the graph fr the coordinates (0,4), (2,-4) is y < -4x + 4.
What is linear inequality?Expressions with linear inequalities compare any two values using inequality symbols like "<", ">" , "≤" or "≥" These values could be either numerical, algebraic, or both.
Calculation for linear inequality shown by graph:
The coordinates of the straight line are (0,4), (2,-4).
Substitute the value in equation shown in option C.
y < -4x + 4
For points (0,4), put x = 0 and find y.
y < -4×0 + 4
y = 4 , which is satisfied.
Now consider points (2, -4)
Put x = 2 in the same equation and find y.
y < -4×2 + 4
y = -4 ( which again satisfies the given value for y)
Therefore, the equation y < -4x + 4 satisfies the points given for straight line.
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simplify the expression 5t + (3r+2r) + 3t +4r
Estimate if this angle is acute or obtuse.
Answer:
obtuse
Step-by-step explanation:
because they angle is over 90 degrees
Need help!!! Wil mary brainlyest!
Answer:
-17/5/11/10
=-17/5*10/11=-34/11=
[tex]3 \: \div1 \div 11[/tex]
Hope it helps
Answer:
Easy. The answer is -3 1/11
Step-by-step explanation:
-17/5/11/10
-170/55
-3 1/11
PLEASE ANWSER FAST IM TAKING A TEST!!
20 points!!!!
Answer:
the correct awnser is A
Step-by-step explanation:
HAVE A GOOD DAY!!!!!!
Answer:
Answer is A
Step-by-step explanation:
Cynthia walk 9/100 Miles to school and 3/10 Miles friends house how many miles does Cynthia walk total
Answer:
12 Miles
Step-by-step explanation:
What is the value of x?
Answer:
x=2
Step-by-step explanation:
so u have 7 as the whole length.
and 5 of the 7 is filled
so u do this 7-5=2
What's the circumference of a
circle with a radius of 22 inches?
Use 3.14 for n.
Answer:
C
≈
138.23
in
Step-by-step explanation:
I hope it helped
What is 4 1/3 + 4 3/4 simplest form?
Answer:
109/12
Step-by-step explanation:
4 1/3 = 13/3
4 3/4 = 19/4
13/3 = 52/12
4 3/4 = 57/12
52/12 + 57/12 = 109/12
109 and 12 have no common factors
Consider the following information about travelers on vacation: 40% check work email, 30% use a cell phone to stay connected to work, 35% bring a laptop with them, 16% both check work email and use a cell phone to stay connected, and 42.8% neither check work email nor use a cell phone to stay connected nor bring a laptop. In addition, 88 out of every 100 who bring a laptop also check work email, and 70 out of every 100 who use a cell phone to stay connected also bring a laptop.
a. What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?
b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?
c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?
Answer:
a. 0.4
b. 0.6
c. 0.6493
Step-by-step explanation:
p(checking work email) = p(A) = 0.40
p(staying connected with cell phone) = p(B) = 0.30
p(having laptop) = p(c) = 0.35
p(checking work mail and staying connected with cell phone) = p(AnB) = 0.16
p(neither A,B or C) = p(AuBuC)
= 1-42.8%
= 0.572
p(A|C) = 88% = 0.88
p(C|B) = 70% = 0.7
a. What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?
p(B|A) = p(AnB)/p(A)
= 0.16/0.4
= 0.4
b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?
p(B|C) = P(C|B)p(B)/p(C)
= 0.7x0.3/0.35
= 0.6
c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?
p(A|BnC)
= P(BnAnC)/p(AnC)
= p(AnC) = p(A|C).p(C)
= 0.88x0.35
= 0.308
p(AnBnC) = p(AuBuC)-p(a)-p(b)+ p(AnB)+p(AnC)+p(BnC)
p(BnC) = 0.7x0.3
= 0.21
p(AnBnC) = 0.572-0.4-0.3-0.35+0.16+0.308+0.21
= 0.2
p(A|BnC) = 0.2/0.308
= 0.6493
Answer:
which ever one you want its an opinion answer.
Step-by-step explanation:
PLZ HELP ME WITH THIS NEED THE ANSWER NOW PLSSSSSSSSS THIS IS 7TH GRADE AMTH
Answer:
Just by the looks at it P has the greater slope I think but graph it to make sure cause I might be wrong.
Answer:
Function 2
Step-by-step explanation:
A plane is going to fly 300 miles at a planned speed of 530 mph. The flight will have an average headwind of w miles per hour the entire time, meaning the plane is flying directly against the wind. The time
Tin hours of the flight is a function of the speed of the headwind w, in mph, and can be modeled by
300
T(W) =
530-W
At what value of w does the graph have a vertical asymptote ? Explain what this asymptote means in this situation.
Answer:
Step-by-step explanation:
T(100) represents that the plane flies against the wind at 110mph for 0.714 hours
What is an approximation?An approximation is anything that is similar to but not identical to something else. Rounding can be used to approximate a number.
Given that a plane is going to fly 300 miles at a planned speed of 530 mph. The equation is T(W) = ( 300 ) / ( 530 -W).
The value of approximation will be calculated as
T(W) = ( 300 ) / ( 530 -W).
T(110) = ( 300 ) / ( 530 - 110)
T(110) = (300 ) / ( 420)
T(110) = 0.714
T(100) represents that the plane flies against the wind at 110mph for 0.714 hours.
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PLEASE HELP FUE NOW Marcie knows that the last number to her locker combination is a perfect square. Which of the following numbers might be the last number Marcie uses to open her locker?
8
ОО
36
24
2
Answer:
2! Cause the hint is that all of the options are her locker conbination! (I think it is)
Step-by-step explanation:
Answer:36
Step-by-step explanation:
6•6 is 36 perfect square
Help&EXPLAIN
Don’t use for points or will be reported and I’ll take the points back
Answer:
x = 90
Step-by-step explanation:
A line will ALWAYS equal 180 degrees, so we know that one angle is <90 and we have to find x, which is the other angle of the line.
So, x + 90 = 180
You can either solve the equation for x or you can just subtract 90 from x, which is the easier way.
180 - 90 = 90
So, x = 90
I hope this helps, and explains it!
Use the discriminant to determine the number of real solutions to the quadratic equation.
81d^2=18d+1=0
What is the number of real solutions?
Select the correct answer below:
0
1
2
The answer is 1
Use the discramnt formula
[tex] {b {}^{2} - 4ac } [/tex]
Where a is 81, B is 18, and c is 1
We get
[tex]18 {}^{2} - 4(81)(1)[/tex]
We then get 324-324=0
Which equal 0. Since the discramnt produce 0, the number of solution is one and repeated.