Answer:
perimeter: 73.81 inarea: 284.955 in²Step-by-step explanation:
You want to find the perimeter and area of a sector that is 3/4 of the circle. The perimeter will be the sum of twice the radius and the length of the arc. The area will be 3/4 of the area of the full circle.
__
PerimeterThe length of a circular arc is ...
s = rθ . . . . . where θ is the central angle in radians
s = (11 in)(3/2π) . . . . . . . a 3/4 circle has a central angle of 3/2 radians
s = (11 in)(3/2)(3.14) = 51.81 in
When we add the two radii to this, we get a total perimeter of ...
P = 2r +s = 2(11 in) +51.81 in = 73.81 in . . . . perimeter of the figure
__
AreaThe area of a sector is given by the formula ...
A = 1/2r²θ . . . . . where r and θ are the radius and central angle (in radians)
A = 1/2(11 in)²(3/2π) = (1/2)(121 in²)(3/2)(3.14)
A = 284.955 in² . . . . area of the figure
Find the slope and y−intercept of the line in the graph. Express the answers as simplified fractions, if necessary.
The slope is m =
The y−intercept is b =
The slope is m = 3.5; and the y-intercept is b = -6
Determining slope and y-intercept of a LineFrom the question, we are to determine the slope and the y-intercept of the line.
The slope of a line can be determine by picking any two points on the line.
Then applying the formula,
[tex]m =\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]
Where m is the slope
Picking the points (2,1) and (0,-6).
∴[tex]x_{1} = 2[/tex]
[tex]x_{2} = 0[/tex]
[tex]y_{1}=1[/tex]
[tex]y_{2}=-6[/tex]
Then, the slope of the line in the graph is
[tex]m = \frac{-6-1}{0-2}[/tex]
[tex]m =\frac{-7}{-2}[/tex]
m = 3.5
For the y-intercept
The y-intercept is the point where the graph intersects the y-axis
From the graph,
The point where the line intersects the y-axis is -6.
∴ y-intercept, b = -6
Hence, the slope is m = 3.5; and the y-intercept is b = -6
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Help me please. Again?
Answer:
See attached image.
Step-by-step explanation:
enter the value 2³ - 16 divided by 2 + 5²
Answer: 2^3 - 16 : 2 + 5^2 = 25/1 = 25
Step-by-step explanation:
Exponentiation: 2 ^ 3 = 8Divide: 16 / 2 = 8Subtract: the result of step No. 1 - the result of step No. 2 = 8 - 8 = 0Exponentiation: 5 ^ 2 = 25Add: the result of step No. 3 + the result of step No. 4 = 0 + 25 = 25
Solve the problem.
Two cylindrical cans of beef stew sell for the same price. One can has a diameter of 6 inches and a
height of 4 inches. The other has a diameter of 4 inches and a height of 6 inches. Which can contains
more stew and is therefore, a better buy?
Answer:
The first can.
Step-by-step explanation:
formula: Pi x diameter x height
1st can has a volume of 113.10
2nd can has a volume of 75.40
Graph the parabola. Plot five points on the parabola. button.
Step-by-step explanation:
The graph looks like the above picture
Answer:
Image Attached
Step-by-step explanation:
Hello!
To have points with whole numbers, multiples of 3 need to be used for x.
x = 3
y = (1/3)(3)²y = (1/3)(9)y = 3
x = 6
y = (1/3)(6)²y = (1/3)(36)y = 12
x = 9
y = (1/3)(9)²y = (1/3)(81)y = 27
x = 12
y = (1/3)(12)²y = (1/3)(144)y = 48
x = 15
y = (1/3)(15)²y = (1/3)(225)y = 75
Two images are attached, one in correlation to y = x^2, and the original graph with the given points (3,3), (6,12), (9,27), (12,48), (15, 75).
What is the value of the expression below?
(-8) 2/3
Answer:
Step-by-step explanation:
Step 1: Multiply the numerator
[tex](-8) * 2/3[/tex]
[tex](-8 * 2)/3[/tex]
[tex]-16/3[/tex]
Answer: [tex]-16/3[/tex]
NO LINKS!!
Mark Wolfman is the director of safety at Waterworld. He needs to order a new wire for the tallest tower in the park. One end of the wire is attached to the top of the tower and the other end is attached to stake in the ground that is 44 feet away from the base of the tower. The wire makes a 78 degree angle with the flat ground. How much wire will he need?
Answer: Approximately 211.628311 feet of wire is needed
==========================================================
Explanation:
Draw out a right triangle with 44 as the horizontal component. The angle 78 is the angle of elevation right next to the horizontal side.
Let x be the length of the wire needed. This is the hypotenuse of the triangle.
Use the cosine ratio to say the following:
cos(angle) = adjacent/hypotenuse
cos(78) = 44/x
x*cos(78) = 44
x = 44/cos(78)
x = 211.628311 feet approximately
Round this value however you need to.
Answer:
211.63 ft (nearest hundredth)
Step-by-step explanation:
**Refer to the attached diagram**
We need to find the hypotenuse of the right triangle.
To do this, we should use the cos trig ratio:
[tex]\sf cos(\theta)=\dfrac{A}{H}[/tex]
where:
[tex]\theta[/tex] is the angleA is the side adjacent to the angleH is the hypotenuseGiven:
[tex]\theta[/tex] = 78°A = 44 ftH = wSubstitute given values into the equation and solve for w:
[tex]\sf \implies cos(78)=\dfrac{44}{w}[/tex]
[tex]\sf \implies w=\dfrac{44}{cos(78)}[/tex]
[tex]\sf \implies w=211.6283112[/tex]
Therefore, the length of wire needed is 211.63 ft (nearest hundredth)
A quality analyst wants to construct a sample mean chart for controlling a packaging process. He knows from past experience that whenever this process is in control, package weight is normally distributed with a mean of 20 ounces and a standard deviation of two ounces. Each day last week, he randomly selected four packages and weighed each: Day Weight (ounces) Monday 23 22 23 24 Tuesday 23 21 19 21 Wednesday 20 19 20 21 Thursday 18 19 20 19 Friday 18 20 22 20 What is the sample mean package weight for Thursday
Using it's concept, it is found that the sample mean package weight for Thursday is of 19 ounces.
What is the mean of a data-set?The mean of a data-set is given by the sum of the observations divided by the number of observations.
For Thursday, the package weights in ounces are given by: {18, 19, 20, 19}.
Hence, the sample mean in ounces is of:
M = (18 + 19 + 20 + 19)/4 = 19.
More can be learned about the mean concept at https://brainly.com/question/24628525
Ann has some dimes and quarters. If she has 11 coins worth a total of $2.00, how many of each type of coin does she have?
Answer:
5.5 maybe i guess its fun
17,18,22,31,47, ... what's next
Answer:
Step-by-step explanation:
First establish the pattern. Notice the sequence of numbers below. These are the ones making up the pattern. You can go as far as 47 - 31 which gives 16 which is 4^2.
18 -17 = 1 = 1^2
22 - 18 = 4 = 2^2
31 - 22 = 9 = 3^2
47 - 31 = 16 = 4^2
=================
Call the number comming x. 47 taken from x must give 5^2 which is 25
x - 47 = 5^2
x - 47 = 25 Add 47 to both sides
x -47 + 47 = 25 + 47
x = 72
=================
72 -47 = 25 which is 5^2.
Answer: The next number is 72
6) The frequency table represents lunch choices for 22 middle school students. Each student may only make one choice. What frequency count should be recorded for the soup category?
-------
A) 2
B) 4
C) 6
D) 8
The frequency count that should be recorded for the soup category is 6.
What does subraction mean?
Subtraction is the process of taking one number away from another number. The sign used to represent subtraction is -.
What is the frequency count for the soup category?The frequency count on the table should be equal to the number of students. Thus, in order to determine the frequency count for the soup category, subtract 22 from the total frequency count.
The frequency count for the soup category = 22 - (5 + 8 + 2 + 1 ) = 6
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In the data set below, what are the lower quartile, the median, and the upper quartile?
The median, upper and lower quartiles of the data set are:
Lower Quartile = 46
Median = 49
Upper Quartile = 90
What is the Median?The center value or middle value of a data set is the median.
What are the Upper and Lower Quartiles?Upper quartile (Q3) is the center or middle data point of the second half of a data set.
Upper quartile (Q3) is the center or middle data point of the second half of a data set.
Order the data set given as:
32, 46, 49, 49, 77, 90, 96
Lower Quartile = 32, (46), 49, 49, 77, 90, 96 = 46
Median = 32, 46, 49, (49,) 77, 90, 96 = 49
Upper Quartile = 32, 46, 49, 49, 77, (90,) 96 = 90
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Please answer soon!
What is the median number of repairs per vehicle as shown in the box plot below?
Answer:
B, or 4
Step-by-step explanation:
Since the line in the middle of the box plot shows the median it tells us that the median is 4
Answer:
4
Step-by-step explanation:
because it is the middle number
Question
A pole that is 3 m tall casts a shadow that is 1 m long. At the same time, a nearby tower casts a shadow that is 44.5 m long. How tall is the tower?
Answer: 1,33.5 m
Step-by-step explanation:
We can set up a proportion to solve. I will have the length of the pole / tower on the top (numerator), and the length of the shadow on the bottom (denominator). All units will be in m.
[tex]\frac{3}{1} =\frac{x}{44.5}[/tex]
Now, I will cross multiply and solve for x. This will give us the height of the tower.
x * 1 = 3 * 44.5
x = 133.5 m
A fruit company guarantees that 94% of the pineapples it ships will ripen within four days of delivery. Find the probability that at least 10 pineapples in a case of 12 are ripe within four days.
The probability that at least 10 pineapples in a case of 12 are ripe within four days as described in the task content is; 0.783
Probability of PercentageFrom the task content;
It follows that 94% of the pineapples shipped will ripen within four days of delivery.On this note, the probability for ripening of each apple is; 0.94.
Ultimately, the probability that at least 10 pineapples in a case of 12 are ripe within four days is therefore; 0.94 × 10/12 = 0.783.
Read more on probability;
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Devi rides the bus to her grandmother’s house every day. She tracked how many minutes the bus rides took for one week:
Calculate the mean, median, range, and midrange of the bus ride times for a week.
Answer:
Noone can answer it if you dont give us the numbers
Step-by-step explanation:
A car rental agency rent compact, midsize, and luxury cars. Its goal is to purchase 48 cars for a total of $932,000 and to earn a daily rental of $ 1,265 from all the cars. The compact cars cost $13,000 each earn $ 20 per day in rental, the midsize cars cost $ 25,000 each earn $ 27 per day, and the luxury cars cost $ 29,000 each and earn $ 45 per day. Your task will be to find the number of each type of car the agency should purchase to meet its goal.
Answer:
25 compact15 midsize8 luxuryStep-by-step explanation:
The set of relationships can be formulated as three equations in three unknowns. These can be written as an augmented matrix and solved using a calculator.
Let x, y, z represent the numbers of compact, midsize, and luxury cars, respectively. Then the relations are ...
x + y + z = 48 . . . . . . total number of cars purchased
13x +25y +39z = 932 . . . . . total cost in thousands
20x +27y +45z = 1265 . . . . daily rental revenue
The augmented matrix of coefficients looks like ...
[tex]\left[\begin{array}{ccc|c}1&1&1&48\\13&25&39&932\\20&27&45&1265\end{array}\right][/tex]
And its solution is ...
(x, y, z) = (25, 15, 8)
The agency should purchase 25 compacts, 15 midsize, and 8 luxury cars.
12. An empty avocado crate weighs 4.2 kg. How many avocados weighing 0.3 kg each can be added before the total weight of the crate reaches 15.0 kg?
X - 8 = 1 what does X equal to?
Answer:
9
Step-by-step explanation:
To answer this we add 8 to both sides:
x-8+8 = 1+8
x = 9
This is our answer
Given:-
X - 8 = 1To find :-
The value of xSolution :-
X - 8 = 1
Transferring 8 to Right sideX = 1 + 8 ( signs change when transferred to opposite side )
X = 9
In the accompanying diagram of a unit circle, the ordered pair (x, y) represents the point where the terminal side of θ intersects the unit circle. If θ = 150°, what is the value of x?
Answer:
(-[tex]\sqrt{3\\}[/tex]/2,1/2);(-x,y)
Step-by-step explanation:
use the 1, root 3, 2 trick. 150's reference angle is 30 as q2 = 180-x
1 is the opposite here, 2 is always hypotenuse, root 3 is adjacent here
x value is based on cos = CAH
it's minus because in q2 angles are (-x,y)
hope that helps
What is the surface area of each solid pyramid? Round answers to the nearest square unit.
Please explain how to solve the problem, not just the answer.
Answer:
The total surface area is
57ft^2.
HELP PLS HJJHHHJJHH
Answer:
See below ↓↓
Step-by-step explanation:
Important facts given [needed to solve]
Time period = 3 yearsLoan amount = $5000Interest rate = 8% (semi-annually - twice a year)Monthly payment = $156.68Solving :
Total amount to be repaid = Monthly payment x 3 years= Monthly payment x 3 x 12 months= $156.68 x 36= $5640.48 (a)Interest paid
Total amount repaid - Initial loan amount= 5640.48 - 5000= $640.48 (b)Evaluate f(x + 1) when f(x) = 2:02 2c2 - 42 - 2 4x (Be sure to simplify your answer)
f(x+1)
2(x+1)²-4(x+1)-22(x²+2x+1)-4x-4-22x²+4x+2-4x-4-22x²-4Solve for kkk.
8(10-k)=2k8(10−k)=2k
Answer:
k = 8
Step-by-step explanation:
We know that 8(10-k) = 2k so:
8(10−k)=2k
Simplify both sides of the equation:
8(10−k)=2k
(8)(10)+(8)(−k)=2k
80+−8k=2k
−8k+80=2k
Subtract 2k from both sides:
−8k+80−2k=2k−2k
−10k+80=0
Subtract 80 from both sides:
−10k+80−80=0−80
−10k=−80
Divide both sides by -10:
[tex]\frac{-10k}{-10} =\frac{-80}{-10}[/tex]
k = 8
[tex]-35x^{6}=(-5x^2)(B)[/tex]
Find the missing factor of B that makes this equation true
Question 13 of 14
Phillipa rode her bicycle every day over the weekend. Phillipa rode [(13.5 + 8.5) ÷ 2]
miles on Friday, [18 − (2 × 4)] miles on Saturday and [20 − (5 − 3)]
miles on Sunday.
On which day did Phillipa ride her bicycle the most?
She rode her bicycle the most on .
Answer:
Sunday
Step-by-step explanation:
Friday
[(13.5 + 8.5) ÷ 2] = [(22) ÷ 2] = 22 ÷ 2 = 11 miles
Saturday
[18 − (2 × 4)] = 18 - (8) = 18 - 8 = 10 miles
Sunday
[20 − (5 − 3)] = 20 - (2) = 18 miles
18 > 11 > 10
Then She rode her bicycle the most on Sunday
Try:
Rereading your lessons, getting help from your tutor or others.
Answer:
Sundays
Hope this helps and don't forget to hit the thanks button! <3
Written by: RiBu
THE ANSWER IS SUNDAYS.
Transform the table below given that g(x) = 2 f(6x).+ 8. Enter your answers as reduced fractions if necessary. Make sure your answers line up vertically with the corresponding x and f(x) values. As a hint, you can consider y f(x) to be the base graph of g(x).
The function g(x) = 2f(6x) + 8 is a function transformation of the function f(x)
How to transform the table?The function g(x) is given as:
g(x) = 2f(6x) + 8
The table is not given.
So, I will provide a general explanation
Using the following values of x:
x = 0, 1, 2, 3......
We have:
g(0) = 2f(6 *0) + 8
g(0) = 2f(0) + 8
g(1) = 2f(6 *1) + 8
g(1) = 2f(6) + 8
g(2) = 2f(6 *2) + 8
g(2) = 2f(12) + 8
g(3) = 2f(6 *3) + 8
g(3) = 2f(18) + 8
Next, we assume the following values
f(0) = 4, f(6) = 5; f(12) = 6 and f(18) = 7
The values become:
g(0) = 2f(0) + 8 = 2 * 4 + 8 = 16
g(1) = 2f(6) + 8 = 2 * 5 + 8 = 18
g(2) = 2f(12) + 8 = 2 * 6 + 8 = 20
g(3) = 2f(18) + 8 = 2 * 7 + 8 = 22
So, the table of values would be:
x g(x)
0 16
1 18
2 20
3 22
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help please and ty lol
Answer:
A=35.5 degrees
Step-by-step explanation:
Check out the photo. Leave a comment if anything's not clear.
Write the phrase “the sum of 3 times a number and 5” as a mathematical expression.
Answer:
[tex](3*x)+5[/tex]
Step-by-step explanation:
Let the variable x equal "a number"
The phrase times means we multiply the variable x by the constant 3.
The phrase sum of means we add the constant 5 to the term (3 * x).
[tex](3*x)+5[/tex]
Answer: 3x + 5 that's the answer i had to type this cause the answer was to short to post lol
John was at the store and he saw his favorite video game
Answer:
That's cool
Step-by-step explanation:
Answer:
Thats cool and all but whats the wuestion
Step-by-step explanation: