Given:
The length of a basketball court is twice its width.
The perimeter of the perimeter is 150 feet.
To find the length and width of the basketball court.
Formula
The perimeter of the rectangle is
[tex]P = 2(l+b)[/tex]
where, l be the length of the rectangle and
b be the width of the rectangle.
Now,
As per the problem,
Let, the width be [tex]x[/tex], so the length be [tex]2x[/tex]
So,
The perimeter is = [tex]2(x+2x) = 6x[/tex]
According to the problem,
[tex]6x = 150\\or, x = \frac{150}{6}[/tex]
[tex]or, x = 25[/tex]
Therefore,
the width of the court is 25 ft and length = 2×25 = 50 ft
Hence,
The length and width of the basketball court is 50 ft and 25 ft respectively.
Final answer:
The width of the basketball court is 25 feet and the length is 50 feet.
Explanation:
Let's assume the width of the basketball court is 'x' feet. Since the length is twice the width, we can say the length is '2x' feet.
The perimeter of a rectangle is calculated by adding all of its sides. So, in this case, we have 2 lengths and 2 widths.
Perimeter = 2(length) + 2(width)
Given that the perimeter is 150 feet, we can write the equation: 150 = 2(2x) + 2(x)
Simplifying the equation, we get: 150 = 6x
Dividing both sides by 6, we find: x = 25
Therefore, the width of the basketball court is 25 feet and the length is 2x, which is 2 * 25 = 50 feet.
UV and RV are secant segments that intersect at point V.
Circle C is shown. Secants U V and R V intersect at point V outside of the circle. Secant U V intersects the circle at point T, and secant R V intersects the circle at point S. The length of U V is 12, the length of T V is a, the length of R S is 5, and the length of S V is 4.
What is the length of TV?
Answer:
a=3
Step-by-step explanation:
Intersecting Secants Theorem
If two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.
Applying the theorem of Intersecting Secants in the diagram
[tex]TV\cdot UV=SV\cdot RV[/tex]
[tex]a*12=4X9\\12a=36\\a=36\div12\\a=3[/tex]
Therefore, the value of a=3
Answer:
The answer to this question is 3
Step-by-step explanation:
The probability of choosing an apple-flavored juice box out of the refrigerator without looking is one. which term best scribes the probability?
Answer:
Certain
Step-by-step explanation:
The term probability describes the number chance that an event will happen.
The value of probability is 1 when an event is certain to happen.
An event that cannot possibly happen has a probability of 0.
The probability is between 0 and 1. If there is a chance that an event will happen.
Jack determined that triangle FGH has the interior angle measures shown below. Is Jack correct? Explain. F = 47°, G = 119°, H = 72°
Answer:
Jack is incorrect because a triangle's interior angles should add up to 180°.
Step-by-step explanation:
jack’s solution is incorrect. The sum of the three angles of his triangle is not 180°, which is the sum of the angles of any triangle. The sum of his angles is 238°.
Answer:
Jack’s solution is incorrect. The sum of the three angles of his triangle is not 180°, which is the sum of the angles of any triangle. The sum of his angles is 238°.
Step-by-step explanation:
I just did it
Where are the asymptotes for the following function located? f (x) = StartFraction 7 Over x squared minus 2 x minus 24 EndFraction x = –4 and x = 6 x = –4 and x = 7 x = 4 and x = –6 x = 6 and x = 7
Answer:
x=-4 and x=6
Step-by-step explanation:
Factor the denominator of the equation and then set them equal to zero and you will get these answers.
The vertical asymptotes of the function f(x) = 7/(x² - 2x - 24) are found at x = 6 and x = -4, which are the values that make the denominator of the function equate to zero.
The function provided is a rational function, namely f (x) = 7/(x² - 2x - 24). To find the asymptotes for this function, we must identify the values of x that will make the denominator equate to zero, as these points result in undefined values within the function.
These points define the vertical asymptotes. To find these, we set the equation x² - 2x - 24 = 0 and solve for x. The solutions to this equation are the x-values of the vertical asymptotes.
By factoring the equation x² - 2x - 24 = 0, we get (x - 6)(x + 4) = 0. Therefore, the function will have vertical asymptotes at x = 6 and x = -4.
Learn more about Asymptotes here:
https://brainly.com/question/31774790
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Please help! I will mark you as brainliest!
Answer:
2⁻²
Step-by-step explanation:
(2⁴x 2³ )/ (2⁵x 2⁴)
2⁴ cancels itself up and down
2³/2⁵
Using Law of Indices
2³⁻⁵= 2⁻²
Jeffery is trying to decide between two investing account plans. An accountant
told Jeffery that Plan A offers a semi-annual compounded interest rate of 2.75%,
while Plan B offers 5.8% interest compounded annually. Which is the better
plan? Explain.
Plan B is the better investment option due to its higher effective annual interest rate compared to Plan A.
Explanation:The better plan is Plan B.
To compare, we can look at the effective annual interest rates for both plans. Plan A with semi-annual compounding has an effective annual interest rate of 2.75% x 2 = 5.5%. Plan B with annual compounding has a higher effective annual interest rate of 5.8%.
This indicates that Plan B would generate more returns over the same period compared to Plan A.
Lindsay is 555 years younger than Mark. Seven years ago, the sum of their ages was 313131. Let lll be Lindsay's age and let mmm be Mark's age. Which system of equations represents this situation?
Answer:
The system of equations that represents the given situation is ( l - 7 ) + (m- 7) = 31Step-by-step explanation:
Given that Lindsay is 5 years younger than Mark.
Seven years ago, the sum of their ages was 31.
Let l be Lindsay's age and let m be Mark's age.
To find the system of equations represents the given situation:From the given Lindsay is 5 years younger than Mark.
We can write it as
l=m-5
From given "Seven years ago, the sum of their ages was 31".
It can be written as
( l - 7 ) + (m- 7) = 31
∴ the system of equations that represents the given situation is ( l - 7 ) + (m- 7) = 31
Walt and Hank collect quarters from different states. Walt collected q quarters. Hank collected four fewer quarters than Walt. The combined dollar value of their coins was $17.50. The following equation represents the situation.
0.25q + 0.25(q - 4) = 17.50
How many quarters does Walt have?
A.
33 quarters
B.
35 quarters
C.
37 quarters
D.
43 quarters
Answer:
Walt has 37 quarters. Hank has 33.
Step-by-step explanation:
Solve the given equation for q:
0.25q + 0.25q - 1.00 = 17.50
Simplify this, obtaining:
0.50q = 18.50
Simplifying this by multiplying both terms of this result by 100:
50 q = 1850
Thus, q = 1850/50 = 37
Walt has 37 quarters. Hank has 33.
Note that 37 + 33 = 70, and that 70($0.25) = $17.50. So our results are correct.
the figure above represents a wheel of cheddar cheese. Determine the area of cheese remaining after wedge ECG has been removed.
A A = 34.19 cm2
В. А = 68. 38cm2
с. A = 119.67cm2
d. A = 478.68cm2
Answer: 478.68cm
Step-by-step explanation:
Answer: D) A =478.68
The area of a triangular block is 100 square inches. If the base of the triangle is twice the height, how long are the base and the height of the triangle?
Answer:
Let b = base of triangular block
h = height of triangular block
b = 2h
(1/2)(2h)(h) = 100
h² = 100
h = 10 inches, b = 20 inches
What is the domain of f(x)=x^2
Answer:
R (all real numbers)
Step-by-step explanation:
You can use every value for x, so the domain is "everything".
Find the value of x in the triangle shown below.
Answer:
x=82
Step-by-step explanation:
There are 180 degrees in a triangle.
24+74=98
180-98=82
Answer:
add the angles and subtract them from 180
Step-by-step explanation:
24+74=98
180-98=82
What is the product of 4^4(4^-7)(4)?
A. 1/-16
B. 1/-8
C. 1/16
D. 1/8
Answer:
C
Step-by-step explanation:
i used a calculator multiple times :)
There are two types of membership fees for a gym. Gym A charges $70 per month. Gym B charges a start up fee of
$240 plus $10 per month. How many months would it take for the memberships to cost the same?
steps ?
Answer:
The answer is four.
Step-by-step explanation
It starts off with 250 and 70
then it would go to 260 and 140
then it should be 270 and 210
then 280 and 280
Next time try to work it out : )
Guilherme observed the number of minutes his dormmates spent on social media sites while they were at the library. He reported his data in the following table.
Dormmate Number of minutes on social media
Vera 131313
Timothy 000
Manueala 141414
Khaled 363636
Yash 181818
Fernanda 121212
Find the mean number of minutes on social media.
The mean number of minutes spent on social media by Guilherme's dormmates is 15.5 minutes.
Mean of minutes dormmates spent on social media = All minutes each dormmate spent/ no. of dormmates.
In this case,
13 + 0 + 14 + 36 + 18 + 12/ 6 dormmates
= 93/ 6
= 15.5 minutes.
617 – 3y) + 6(y- 1)
Answer -12y+48
Answer:
vbnvbnvbnvnvbnvbnvbnvbn
Step-by-step explanation:
vbnvbnvbnvbnvbn vbn v
If half of the pie below is eaten, what fraction remains?
Answer:
3/8
Step-by-step explanation:
There is 3/4 of pile and if half is eaten you are left with 3/8.
In Mathematics, when half of a pie (or '1/2') is eaten, the remaining fraction is the other half, which is also '1/2'. This is because a whole pie is considered '2/2', or 'one whole'.
Explanation:The question is asking about a simple fraction operation in the realm of Mathematics. When you eat half of a pie, it essentially means you've consumed '1 out of 2' parts of the pie, or '1/2'. If this is the case, then the fraction that remains would naturally be the other half, or '1/2' as well.
This is because a whole pie is considered '2 out of 2' parts or '2/2', which equals 1, or 'one whole'. So if you eat half of it ('1/2'), the fraction that remains is the uneaten half, which is also '1/2'.
Learn more about Fractions here:https://brainly.com/question/33564650
What is the area of the triangle?
What can you conclude about DNA from the idea that it is
like a cell's "brain"?
DNA is akin to a cell's "brain" in that it contains all the instructional genetic information for the cell. The Central Dogma of Molecular Biology details how this information is transmitted within the cell to produce proteins, which ultimately define the cell's structure and function. Cell differentiation and function are determined by environmental signals and gene expression.
The analogy of DNA being like a cell's "brain" suggests that DNA serves a fundamental role in controlling the functions of a cell, much like the brain controls the functions of the body. DNA contains all the hereditary information necessary for protein synthesis, and these proteins determine the structure and function of the cell. The process by which DNA directs protein synthesis involves transcription (where instructions in DNA are converted into messenger RNA), and translation (where ribosomes read this RNA to build proteins based on the sequence of amino acids encoded within the DNA). This mechanism is known as the Central Dogma of Molecular Biology.
Each cell in our body, regardless of its specific role, contains the same DNA. However, the way in which this DNA is expressed – which genes are turned on or off – determines the function and type of the cell. This differentiation process is guided by the cell's environment and the signals it receives. Additionally, it's important to realize that while DNA contains the instructions, it's through the replication process, along with transcription and translation, that living cells are continuously renewing and passing on these instructions. Cells do not arise anew from DNA; instead, every cell comes from the division of a previous cell, carrying the genetic blueprint forward.
Help can’t figure out the answer!
Answer: A
Step-by-step explanation:
8x2=16
5x3=15
16-15=1
Also, 5+8=13
PLEASE HELP ASAP!!!!!!!
Which method can you use to prove these triangles congruent?
A.) the SSS Postulate
B.) the SAS Postulate
C.) the ASA Postulate
D.) the HL Theorem
Answer:
A.) the SSS Postulate
Step-by-step explanation:
Two sides of each triangle are marked congruent, and the third side is shared by the triangles. Hence, all three sides are congruent, and the SSS Postulate applies.
What is 5
8 % written as a decimal?
A.
0.625
B.
0.0625
C.
0.00625
D.
0.000625
Answer:
A
Step-by-step explanation:
hope this helps:))
If the arena charges 6.50 to park in satellite parking and 10.00 to park in an arena lot how much will be made from parking 12000 vehicles in the arena lot and 3500in satellite lots
Answer:
$142,750
Step-by-step explanation:
To find how much money will be made we have to multiply the cost to park in a parking lot by the number of cars in that parking lot.
To find the amount made from satellite parking:
6.50 * 3,500 = 22,750
$22,750 is the amount made from cars parked in the satellite lot.
To find the amount made from the arena lot:
10.00 * 12,000 = 120,000
$120,000 were made from cars parked in the arena lot.
To find the total amount of how much was made, add the two amounts together.
22,750 + 120,000 = 142,750
In total, $142,750 was made.
You earn $28 for washing 7 cars. How much do you earn for washing 5 cars?
Answer:
you earn 20 dollars for 5 cars
Step-by-step explanation:
7 times what equals 28
that is 4
4 times 5 is 20
Answer:
20
Step-by-step explanation:
So, you first need to divide 28 by 7, to get the amount that you get paid per car. Your answer should be $4 per car. Then, you need to multiply 4 by 5, because you want to know how much you earn for 5 cars. 4x5=20. 20 is your final answer. (I hope this helps you!)
The student council is planning an activity night to raise money. The student council will charge $5 per student to attend the activity night. write an expression that can be used to calculate the amount of money collected for n number of students.
Answer:
5n
Step-by-step explanation:
They are charging 5 dollars per person and n is the number of students. You would multiply 5 by n (the number of students) to see how much money they raised.
Find the mean of 6, 9, 4, 1, 7, 3 graphically.
Answer:
[tex]5[/tex]
Step-by-step explanation:
add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
[tex] \frac{6 + 9 + 4 + 1 + 7 + 3}{6} [/tex]
[tex] \frac{30}{6} = 5[/tex]
How much water is in an empty glass that is 10cm high and has a diameter of 5cm
Answer:
How much water is in an empty glass that is 10cm high and has a diameter of 5 cm ?
= 196,25 cm
Step-by-step explanation:
diameter = 5 cm
radius = 1/2 × diameter
radius = 1/2 × 5 = 2,5
How much water is in an empty glass that is 10cm high and has a diameter of 5 cm?
= π × r × r × high
= 3,14 × 2,5 × 2,5 × 10
= 196,25 cm
The amount of water in an empty glass is 196.43 cubic centimetre.
Given diameter of glass is 5 cm.
So its radius is [tex]\frac{5}{2}[/tex] cm or 2.5 cm.
Height of glass is 10 cm.
Now we know that normal shape of glass is cylindrical,
So volume of glass = volume of cylinder= [tex]\pi r^{2} h[/tex]
= [tex]\frac{22}{7} \times2.5^{2} \times10[/tex]
[tex]= \frac{22}{7} \times6.25\times10[/tex]
[tex]=196.43 cm^{3}[/tex]
Hence the amount of water in an empty glass is 196.43 cubic centimetre.
For more details on volume of cylinder follow the link:
https://brainly.com/question/12748872
Which of the given statements are true about Point B?
A) D
B) A and B
C) A and C
D) B and D
Answer:
I'd say your answer should be (B.) A and B
Step-by-step explanation:
point B on your graph is in quadrant one.
also, your point is at (5,4) so both numbers of your point are positive.
therefore, your answer should be (B.) A and B
Hope this helps!
Which point is located at (7,6)?
A) B
B) E
C) O
D) R
Answer:
A B
Step-by-step explanation:
We start at the origin
We go 7 units to the right
Then we go 6 units up
We end at the point B
Answer:
b
Step-by-step explanation:
go along the x or horizontal axis first to 7, then go up 7 or along the y axis 7 and where they intersect is the point.
Find the distance between point D and point F.
A) 3
B) 5
C) 6
D) 7
Answer:
6
Step-by-step explanation:
Answer:
C. 6
Step-by-step explanation: