The perimeter of a rectangular movie screen at a local cinema is 148 feet. If the length of the screen is 30 feet longer than the width, what is the length of the screen, in feet?
The perimeter of a rectangle = 2(l + w)
l = length
w = width
In this problem,
w = x
l = x + 30
the perimeter = 148
Let's plug our values into the perimeter formula above.
148ft = 2(x + x + 30ft)
Combine like terms.
148ft = 2(2x + 30ft)
Distribute the 2
148ft = 4x + 60
Subtract 60 from both sides
88ft = 4x
Divide both sides by 4
22ft = x
The width = x = 22ft
The length = x + 30 = 22 + 30 = 52ft
Find the terminal point on the unit circle determined by pi radians.
Use exact values, not decimal approximations.
The terminal point on the unit circle determined by π radians is (-1, 0).
To find the terminal point on the unit circle determined by π radians, we can use the properties of the unit circle.
The unit circle is a circle with a radius of 1 unit centered at the origin (0, 0) in a coordinate plane. The point on the unit circle determined by an angle θ is given by (cosθ, sinθ).
Since we want to find the terminal point determined by π radians, we can substitute π into the formulas for cosine and sine:
x = cos(π) = -1
y = sin(π) = 0
The terminal point on the unit circle determined by π radians is (-1, 0).
It's important to note that on the unit circle, π radians corresponds to half of the circumference of the circle. In other words, it represents a point on the circle that is diametrically opposite to the point (1, 0) which corresponds to 0 radians.
By understanding the relationship between angles and their corresponding points on the unit circle, we can easily determine the coordinates of terminal points for various angles.
For more such questions on terminal point on the unit circle
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In segment AC, the midpoint is B. If segments AC = 8 AB = 3x-1 find x.
Answer:
If B is the midpoint, it means
AC=2AB
8= 2(3x-1)
8= 6x-2
8+2= 6x
10= 6x
x= 10/6
x= 1.67
Hope it helps :-)
Three sixth-grade students competed in the 100-meter dash. The table shows their times.
Which list shows the times in order from least to greatest?
Student
Time (seconds)
13.1
Tiana
James
13.2
Dakota
12.9
A. 13.2, 13.1, 12.9
B. 12.9, 13.2, 13.1
O
C. 12.9, 13.1, 13.2
O
D. 13.1, 13.2, 12.9
Answer:
It is 12.9, 13.1, 13.2 C.
Step-by-step explanation:
List C shows the times in order from least to greatest i.e. 12.9, 13.1, 13.2.
What is the number?
A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that, three sixth-grade students competed in the 100-meter dash time taken by Tiana, James and Dakota will be 13.1, 13.2 and 12.9
The numbers are written in an ordered list according to their values when they are arranged from least to greatest.
The smallest number should be written on the left, followed immediately by the next smallest number. Numbers should be ordered from lowest (first) to highest (last). It is known as "Ascending Order."
The numbers are arranged as 12.9< 13.1 < 13.2
Thus, list C shows the times in order from least to greatest i.e. 12.9, 13.1, 13.2.
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Frank wrote these rations to describe the number of votes each candidate received compared to the total. which one is wrong and why
Answer:
The number in the ratio 344 to 111 are written in the wrong orders
Step-by-step explanation:
Thank me later
What is the common ratio for the sequence 54, 18, 6, 2, ...? -1/3 -3 1/3 3
Answer:
first term (a) = 54
Second term (b) = 18
common ratio = b/a = 18/54 = 1/3
Natalie wants to rent a car for the day. She only has $48 total to spend. There is a flat fee (one-time fee) of $26 for the day. In addition to the flat fee, there is a charge of $0.75 per mile. How many miles can Natalie drive?
The length of the line?
Answer:c
Step-by-step explanation:
Answer:
[tex]\sqrt{136}[/tex]
Step-by-step explanation:
Use the Pythagorean Theorem!
-15 - 7= Please help if you know what it is please show work if you can as well? :)
Answer:
-22
Step-by-step explanation:
The model below can be used to find the quotient of one over two divided by one over eight. What is the quotient?
Answer:
The answer is 0.25
Step-by-step explanation:
I hope this helps please rate me and like me.
Answer:
0.25 or 1/8
Step-by-step explanation:
I had your question in a quiz so i understand your troubles I hope this helps.
An 8ft length of 4 inch wide crown molding costs $14. How much will it cost to buy 56 ft of crown molding?
Answer:
$98
Step-by-step explanation:
56/8= 7
7x14=98
Hope this helps.
I'm not sure what the question is asking.
f = 2 g = 3
(2)(2) + (3)(3)
(2)(2) + (3)(3)=13
the opposite of g(x) is -9(x),
then -g(x) =
what is 23.67 times 2.03
23.67 X 2.03 = 48.0501
Hope this helps! :)
Answer:
48.0501
Step-by-step explanation:
60 + 8x + 8x + ( 12x - 1) + (2x + 1)
= 540
Find the value of x.
Answer:
x=16
Step-by-step explanation:
I hope this helps you
Please help asap need to be done now
Answer:
15.71 is the perimeter.Step-by-step explanation:
Perimeter = Circumference
Step 1. Know and recognize what you have
C = pi*d
pi = 3.142
d = 10
Step 2. Solve for the circumference of whole circle
C = 3.142*10
C = 31.42
Step 3. Solve for the questions answer
C of semicircle = 31.42/2
C of semicircle = 15.71Hope this helped,
Kavitha
Determine whether the underlined numerical value is a parameter or statistics.
The average annual salary of 50 of a company's 800 employees is $54,000.
Answer:
The numeric value is a statistic because the data set of salaries of 50 employees is a sample
Step-by-step explanation:
50 of a company's 800 employees is $54,000.
800 is the population, of all the employees of the company
$54,000 is the value of 50 employees which sample or subset is of 800 employees
What is the value of x in the equation 3x – one-ninthy = 18, when y = 27? 5 7 45 63
Answer:
7
Step-by-step explanation:
3x – one-ninthy = 18, when y = 27?
one-ninthy 27 = 3
3x - 3 = 18
3 x 7 = 21
21 - 3 = 18
hope this helps
Answer:
7
Step-by-step explanation:
answered on edge
6x+3=38-x
help please
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
[tex]6x+3=38-x[/tex]
Subtract 3 from both sides:
[tex]6x+3-3=38-x-3[/tex]
[tex]6x=-x+35[/tex]
Add x to both sides:
[tex]6x+x=-x+35+x[/tex]
[tex]7x=35[/tex]
Divide 7 on both sides:
[tex]\frac{7x}{7}=\frac{35}{7}[/tex]
[tex]x=5[/tex]
a suit is being sold at a 20 % off (discount). The sale price is $ 270. What was the original price ?
Answer:
The original price is 337.50
Step-by-step explanation:
If we get 20% off, we still have to pay 100-20 =80%
Let x be the original price
x *80% = 270
.80x = 270
Divide each side by .80
.80x/.80 = 270/.80
x =337.50
The original price is 337.50
Answer:
the original price was $324.
Step-by-step explanation:
since 20% of $270 is $54, you add the $54 and get $324.
hope this helps! best of luck <3 (also i didn't include tax; it didn't specify and also i don't know the tax for your region)
Freddie put an empty bucket underneath a leaking pipe. After 3/4 hours, Freddie collected 1/2 cups of water. What is the rate, in cups per hour, at which the water is leaking from the pipe?
10/r - 7 - 6b if r = 5 and b = -6
Steps to solve:
10/r - 7 - 6b when r = 5 and b = -6
~Substitute
10/5 - 7 - 6(6)
~Simplify
5 - 7 + 36
~Subtract
-2 + 36
~Add
34
Best of Luck!
What is 72% of 87.5?
c=2×3.14r to find the circumference of a circle with a radius of 5 meters
Answer:
C≈31.42
r Radius 5
Order from GREATEST to LEAST. 342,645 432,784 324,792 415,675 434,775
Answer:
792, 784, 775, 675, 645, 434, 432, 415, 342, 324.
A factory manufactures tennis balls. Each tennis ball is stamped with the number 1, 2, 3, or 4. The table shown below lists the percent of tennis balls stamped with each number. What is the probability that a tennis ball selected at random is stamped with an even number? 1/35% 2/30% 3/20% 4/15%
Answer:
Step-by-step explanation:
the answer is .25 because i got it right and it makes alot of sense
Which statement about the arrow is true?
A)The arrow does not have rotational symmetry.
B)The arrow has rotational symmetry after a 90° rotation.
C)The arrow has rotational symmetry after a 180° rotation.
D)The arrow has rotational symmetry after a 270° rotation.
Answer:
The arrow has the rotational symmetry after a 180 degree rotation
Step-by-step explanation:
It looks the same after tuning it by that degree, also i took the test :)
Porsches mom told her to choose 3 crayons out of a box
How is density calculated given mass and volume? 1.) Mass divided by volume 2.) Mass multiplied by volume 3.) Sum of volume and mass 4.) Difference of volume and mass
Answer:
1) mass divided by volume
Step-by-step explanation:
Answer:
1. Mass Divided By Volume
Step-by-step explanation:
D = M / V
Density is equal to mass. (In any form such as: grams, pounds or another unit)
Which statement is true for the graph of f(x) = 2x2 - 6x2 - 48x + 24?
(Answers attached)
Answer:
min = (4, -136) ; max = (-2,80)
Step-by-step explanation:
The option is B
The (-2, 80) is a relative minimum, (4, -136) relative maximum option (C) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The cubic function:
f(x) = 2x³ - 6x² - 48x + 24
Find f'(x):
f'(x) = 6x² - 12x - 48
Equate f'(x) to zero:
6x² - 12x - 48 = 0
Find the roots of the quadratic equation:
x = -2
x = 4
Find f''(x):
f''(x) = 12x - 12
Plug x = -2
f''(-2) = -24 - 12 = -36 < 0
At x = -2 f(x) is minimum
f(-2) = 80
Plug x = 4
f''(4) = 48 - 12 = 36 > 0
At x = 4 f(x) is maximum
f(4) = -136
Thus, the (-2, 80) is a relative minimum, and (4, -136) relative maximum option (C) is correct.
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