Answer:
5.89 feet.
Step-by-step explanation:
I just took the test :)
The arc length the car traveled, to the nearest hundredth is 5.88 feet, the correct option is A.
What is a Circle?A circle is a round-shaped figure with all points lie in the same plane, the distance between all the points on the circle and the center of the circle is equal.
The line that passes through the center of the circle and has end point on the circumference is called the diameter, the radius is half the measure of the diameter.
A Ferris wheel car moves from point C to point D on the circle.
Circle A is shown with points C and D on the circle and the central angle C A D marked 45 degrees.
The diameter is 15 feet.
The arc length is determined by using the formula
L = ( [tex]\rm \theta[/tex]/ 360) * 2 π r
L = ( 45 / 360) * 2 * 3.14 * r
r = diameter / 2
r = 15/2 = 7.5 ft
L = ( 45 / 360) * 2 * 3.14 * 7.5)
L = 5.8875 ft
L = 5.89 feet.
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Is -3 a rational number
Answer:
-3 -31 -3
Step-by-step explanation:
Rational numbers are denoted Q Since −3 can be written as −31 it could be argued that −3 is also a real number.
answer:
yes
explanation:
rational numbers are are numbers that can be expressed as a fraction or ratio of two integers. they can be represented as a integer, fraction, terminating decimal, or repeating decimal. In this case -3 is an integer making it rational.
hope this helped!
Basit plate and online Pin Ball game the first time we got our score of 25000 point then he is called 125000 point and third time he scored 30000 what was his Score per game ?
Answer:
60000 points per game
Step-by-step explanation:
Basit played an online pin ball game. The first time he got a score of 25000 points than he scored 125000 points and the third time he scored 30,000 . What was his average score per game.
Solution:
Average is used to represent a list of numbers by a single number. This is usually done by summing each of the numbers in the list and then dividing this result by the amount of numbers in the list.
Since Basit, had 3 scores which were 25000 points, 125000 points and 30000 points. To find the average, we sum all the scores and divide the result by 3 (that is because we have 3 scores). Hence:
Average score per game = (25000 + 125000 + 30000) / 3 = 60000 points per game
which one is it?‼️‼️
Answer:
C
Step-by-step explanation:
20 ÷ 5 = 4
24 ÷ 6 = 4
28 ÷ 7 = 4
32 ÷ 8 = 4
So the correct answer is C
Solve for x . Enter the solutions from least to greatest. x^2 + 3x - 4 = 0
Answer:
x^2+(4-1)x-4=0
x^2+4x-x-4=0
x(x+4)-1(x+4)=0
(x-1)(x+4)=0
either (x-1)=0 Or,(x+4)=0
x-1=0
x=0+1
x=1
x+4=0
x=0-4
x=-4
therefore x=-4,1
Step-by-step explanation:
The required solutions for x are x₁= 1 and x₁= -4, and we can write them from least to greatest as -4, 1.
What are the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
To solve for x in the quadratic equation x² + 3x - 4 = 0, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
where a, b, and c are the coefficients of the quadratic equation (ax² + bx + c = 0).
In this case, a = 1, b = 3, and c = -4, so we have:
x = (-3 ± √(3² - 4(1)(-4))) / 2(1)
x = (-3 ± √(25)) / 2
x = (-3 ± 5) / 2
x₁ = (-3 + 5) / 2 = 1
x₂ = (-3 - 5) / 2 = -4
Therefore, the solutions for x are x₁= 1 and x₁= -4, and we can write them from least to greatest as -4, 1.
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A veterinarian asked each of her 18 patrons if they have a dog. She also asked each patron if they have a
cat. The Venn diagram below shows the data she collected.
Complete the following two-way frequency table.
Have a cat
Do not have a cat
Have a dog
Do not have a dog
Have a dog
Have a cat
5
7
6
0
Answer:
Have a cat Do not have cat
Have a dog 7 5
Do not have a dog 6 0
Step-by-step explanation:
Have a cat Do not have a cat
Have a dog 7 5
Do not have a dog 6 0
How to fill the two-way frequency table?The interesection of the two circles represents the number of patrons that have both dogs and cats. The number in the circle that represents the number of people that have dogs only is 5 and the number in the circle that represents the number of people that have cats only is 6.
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2.35 x 23.6 =
show work
Answer:
hope this helps <33 (55.460)
Step-by-step explanation:
2.35
x 23.6
---------------------
1 23
1 . 4 1 0
1 1
7 . 0 5 0
1
47 . 0 0 0
---------------------
1
5 5 . 4 6 0
Help ASAP! Can someone explain how?
Answer:
Step-by-step explanation:
cos theta is 5/13
so, adjacent=5 ,hypotenuse=13 and opposite=?
hypotenuse^2=adjacent^2+opposite^2
13^2=5^2+opposite^2
169-25=opposite^2
[tex]\sqrt{144}[/tex]=opposite
12=opposite
sin theta=opposite/hypotenuse
=12/13
a tin has asquare base whose sides measures 32 cm .the vertical sides are 50cm high.cake mixture is poured into the tin and leveled off at the 38 cm mark above the base
(i)the capacity of the tin
(ii)the volume of the cake mixture in the tin in cm^3
(iii)volume of the space unoccupied by the cake in cm^3
Answer:
(a) V = 51200 cubic cm
(b) V' = 38912 cubic cm
(c) V'' = V - V' = 12288 cubic cm
Step-by-step explanation:
side of the square base, s = 32 cm
height, h = 50 cm
height of cake mixture, h' = 38 cm
(a) The capacity of the tin is the volume.
Capacity of tin, V = s x s x h = 32 x 32 x 50 = 51200 cubic cm
(b) The volume of the cake mixture is
V' = s x s x h'
V' = 32 x 32 x 38 = 38912 cubic cm
(c) Volume of unoccupied space is
V'' = V - V' = 51200 - 38912 = 12288 cubic cm
30. Which of the following is the algebraic form for the verbal statement shown?
“13 more than the product of 4 and a number, n”
A,B,C, Or D
Answer:
Choice B
Step-by-step explanation:
4n (product of 4 and n) + 13 (13 more)
Answer:
B
Step-by-step explanation:
Tobias is constructing barriers to prevent cars from driving on a bike path. He can make conical pylons using the dimensions shown. If he used the
same amount concrete to construct a spherical barrier, how tall would it be? Use 3.14 for and round your answer to the nearest tenth of a foot. PLS HELPPP !
Answer:
1.6 ft.
Step-by-step explanation:
Given that the conical pylons had a radius (r) of 1 foot and a height (h) of 2 foot. The volume of the conical pylons is:
Volume = πr²h/3
Therefore substituting gives:
Volume = π(1)²(2)/3 = 2π/3 ft³
Since the same amount of concrete is used to construct a spherical barrier, hence the volume of the sphere would be the same as the volume of the conical pylon.
Volume of sphere = 4πr³/3
4πr³/3 = 2π/3
2r³ = 1
r³ = 1/2 = 0.5
r = ∛0.5 = 0.8 ft.
Therefore the radius of the spherical barrier would be 0.8 ft. and the height would be 2r = 2(0.8) = 1.6 ft.
what is the area???!?!?!
9514 1404 393
Answer:
ac
Step-by-step explanation:
The length of the base is the x-distance between E and H, so is ...
base = a - 0 = a
The height is the y-distance between E and F, so is ...
height = c - 0 = c
The area of the parallelogram is the product of base and height.
A = base×height
A = a×c
The area of the parallelogram is ac.
Kane rolls a dice and flips a coin at the same time. What is the probability he rolls a 2 or lower and the coin lands on heads?
Answer:
The probability he rolls a 2 or lower and the coin lands on heads is 16.66%.
Step-by-step explanation:
Since Kane rolls a dice and flips a coin at the same time, to determine what is the probability he rolls a 2 or lower and the coin lands on heads the following calculation must be performed:
Given = 6 sides = 2/6
Coin = 2 sides = 1/2
2/6 x 1/2 = X
0.333 x 0.5 = X
0.1666 = X
0.1666 x 100 = 16.66
Therefore, the probability he rolls a 2 or lower and the coin lands on heads is 16.66%.
pls help me!!!!!!
ASAPPPPP
Answer: 1.185921/3
Step-by-step explanation:
Answer:
1/3 x 1/3 x 1/3 x 1/3 = 1/81
Step-by-step explanation:
You are multiply 1/3 by itself 4 times since it is to the power of 4.
Steve went the the baseball game with some of his friends. He bought 3 packages of peanuts and 4 hotdogs for a total of $14.50. Mark bought 1 package of peanuts and 6 hotdogs for $13.00. Ruben came with his family to the baseball game and bought 6 package of peanuts and 10 hotdogs. How much money did Ruben spend?
Ruben spends $32.5 on 6 package of peanuts and 10 hotdogs.
What is a system of linear equations?In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.
Given that, 3 packages of peanuts and 4 hotdogs costs for a total of $14.50 and 1 package of peanuts and 6 hotdogs costs for $13.00.
Let p = packet of peanuts and h = hotdogs
Establishing the system of linear equations to find the cost of one each,
3p + 4h = 14.50.............(i)
p + 6h = 13
p = 13 - 6h........(ii)
Put eq (ii) in the eq(i)
3(13-6h) + 4h = 14.50
39 - 18h + 4h = 14.50
-14h = -24.5
h = 1.75
Put h = 1.75 in eq(ii)
p = 13 - 6(1.75)
p = 2.5
Hence, the cost of 1 packet of peanut is $2.5 and 1 hotdogs costs $1.75
Therefore, 6 package of peanuts and 10 hotdogs will costs =
6(2.5) + 10(1.75) = 15 + 17.5 = $32.5
Hence, Ruben spends $32.5 on 6 package of peanuts and 10 hotdogs.
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please help fast, thanks !
Answer:
a) 0.8
b) 0.3
c) 0.9
d) 0.95
Step-by-step explanation:
A probability always adds up to 1. It is between the scale of 0 (never likely) to 1 (very likely).
So:
1 - 0.2 = 0.8
1 - 0.7 = 0.3
1 - 0.1 = 0.9
1 - 0.05 = 0.95
Hope this helped!
A store is having a 20% off sale. The final sale price of the items will include 5% sales tax.
The final sale price of an item can be expressed as 1.05(x – 0.2x), where x is the original price of the item.
Answer:
0.84 and 84
Step-by-step explanation:
1.05 (x -0.2x) = 1.05 (1-0.2)x = 1.05 * 0.8 x= 0.84x
84% of the original price of item
Answers:
first box = 0.84xsecond box = 84=================================================
Explanation:
Think of x - 0.2x as 1x-0.2x. The numbers out front, the 1 and -0.2, combine to 0.8
The 0.8 converts to 80%, meaning that if there's a 20% off sale, then you still have to pay the remaining 80% of the original price.
The 1.05 indicates that we started with 100%, and then add on 5% sales tax, so 100% + 5% = 1 + 0.05 = 1.05
---------------
Simplifying the expression given to us leads to
1.05(x - 0.2x)
1.05(1x - 0.2x)
1.05(0.8x)
(1.05*0.8)x
0.84x
This shows that the final price, after tax, is 84% of the original price.
Find the circumference of c round to the nearest hundredth
Answer:
Sorry sorry sorry sorry!! Please forgive me! I need this to pass a very important exam!! Sorry again!! Ily!!
Step-by-step explanation:
There is a prism with a pentagonal base the height is 8 cm the area of the pentagonal base is 30.5cm what is the volume of the prism
Answer:
244 cm³
Step-by-step explanation:
Step 1: Given data
Height of the prism with a pentagonal base (h): 8 cm
Area of the pentagonal base (A): 30.5 cm²
Step 2: Calculate the volume of the prism with a pentagonal base
We have a regular pentagonal prism, that is, the 5 sides of the base are equal and we know the area of the base and the height of the prism. We can calculate its volume using the following expression.
V = A × h
V = 30.5 cm² × 8 cm = 244 cm³
what question is being asked ?
Answer:
4 meters
Step-by-step explanation:
Assuming that the garden is a rectangular garden, its area would be length ×width.
Let the length be L meters and the width be W meters.
Area= L ×W
48= LW -----(1)
Given that the length is 3 times the width,
L= 3W -----(2)
Substitute (2) into (1):
48= 3W(W)
3W²= 48
Divide both sides by 3:
W²= 48 ÷3
W²= 16
Square root both sides:
[tex]W = \sqrt{16} [/tex]
W= 4 (reject negative as width cannot be a negative number)
Thus, the width of the garden is 4 meters.
what fraction is bigger? 11/20 or 2/5
Answer:
Let's make both of them have a common denominator since we can't just identify by the looks of it.
2 x 4 = 8
___
5 x 4 = 20
11/20 > 8/20
11/20 is bigger.
I need help with these too if you help me and graph and tell it how did you get the answer I will give you 20 points.
Answer:
I only know number 11 sorry :(
11. (Image attached)
Step-by-step explanation:
First, I would find the y intercept, which is 4. Next I found the slope of -3 by finding the rise of -3 (3 to left), then the run (1 up).
---------------------------------------------------------------------------------------------------------------
Have a good day :)
Which point is an x-intercept of the function y = 2 cot(1/4^x)?
A) (0,0)
B) (π,0)
C) (2 π,0)
D) (4 π,0)
Just need to put zero instead of y and solve the equation for find the value of x :
0 = 2 Cot ( x/4 )
Cot ( x/4 ) = 0
Cot ( x/4 ) = Cot ( π / 2 )
x / 4 = π / 2
x = 4 × π / 2
x = 2π
Thus the correct option is C .
Find an ordered pair that represents the vector from (-3.7,2) to (-4, -5).
a.
(-7.7,-3)
c.
(1.3,7)
b.
(-0.3,-7)
d.
(7.7,3)
Please select the best answer from the choices provided
A
B
C
D
Given:
A vector from (-3.7,2) to (-4, -5).
To find:
An ordered pair that represents the vector
Solution:
If [tex](x_1,y_1)[/tex] is the initial point and [tex](x_2,y_2)[/tex] is the terminal point of a vector, then ordered pair that represents the vector is:
[tex](x_2-x_1,y_2-y_1)[/tex]
A vector from (-3.7,2) to (-4, -5). So, the ordered pair that represents the vector is:
[tex](x_2-x_1,y_2-y_1)=(-4-(-3.7),-5-2)[/tex]
[tex](x_2-x_1,y_2-y_1)=(-4+3.7,-7)[/tex]
[tex](x_2-x_1,y_2-y_1)=(-0.3,-7)[/tex]
Therefore, the correct option is b, i.e., (-0.3,-7).
dèez nuts in your mouth lol
Answer:
free
Step-by-step explanation:
points .-.
Pls help I need help with 4 I need a answer and a explanation pls
Answer:
because it has the words "less than", the "-2" is after the multiplication which is "2n" so the answer is...
D.) 2n-2
Step-by-step explanation:
the figure below. help me please
HELP!
If the volume of the pyramid is 216 cm, and the length of s is 6 cm, what is the length of the altitude, h?
A. 42cm
B. 36cm
C. 35cm
D. 18cm
The height of the altitude h is 18 cm.
What is an altitude?Altitude is the vertical height of an object above some chosen level.
To calculate the length of the altitude h, we use the formula below
Formula:
h = 3v/l²................ Equation 1Where:
v = Volume of the pyramidl = Length of the baseh = length of the altitudeFrom the question,
Given:
v = 216 cm³l = 6 cmSubstitute these values into equation 1
h = 3×216/6²h = 18 cmHence, the right option is D. 18 cm.
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Unit 4: Systems of Equations
One week, Carlos bought 6 dog treats and 4
cat treats for $42. The next week, he bought 2
dog treats and 7 cat treats for $31.
Create an algebraic representation of the
situation above.
How many does each dog tre at cost?
How much does each cat treat cost?
Answer:
$5 for a dog treat
$3 for a cat treat
Step-by-step explanation:
week 1: 6d + 4c = 42
week 2: 2d + 7c = 31
*used calculator & guessed what each treat costs*
WEEK 1:
6(5) + 4(3) = 42
30 + 12 = 42
42 = 42
WEEK 2:
2(5) + 7(3) = 31
10 + 21 = 31
31 = 31
Anna's class has already collected 74 cans for the annual canned food drive. Her class
must collect more than 200 cans to reach their goal. The class plans to collect 15 cans
each day. Which inequality shows the number of additional days, d, Anna's class
needs to reach the goal?
CLEAR
15d + 74 > 200
15d - 74 > 200
15d + 74 > 200
150 – 74 > 200
Answer:
15d + 74 > 200
d > 8.4 days
Step-by-step explanation:
Total cans needed = over 200
Number of cans they have = 74
Number of cans needed per day = 15
Number of days = d
The inequality is
74 + 15d > 200
Also written as
15d + 74 > 200
15d > 200 - 74
15d > 126
d > 126/15
d > 8.4 days
Answer:
15d + 74 > 200
d > 8.4 days
Step-by-step explanation:
Total cans needed = over 200
Number of cans they have = 74
Number of cans needed per day = 15
Number of days = d
The inequality is
74 + 15d > 200
Also written as
15d + 74 > 200
15d > 200 - 74
15d > 126
d > 126/15
d > 8.4 days
Help please !! What’s the answer ??
Answer:
2(5+3)
Step-by-step explanation:
Answer:
2(5$+3$)
Step-by-step explanation:
hope this helps