A set is a collection of unique objects. There is no repetition of elements in a set. It is well defined. The number of elements can be finite or infinite.
Five examples of set are :
(1) Set of vowels in English alphabets
V = { a, e, i, o, u }
(2) Set of integers
Z = { ..., -2, -1, 0, 1, 2, ... }
(3) Set of natural numbers
N = { 1, 2, 3, ... }
(4) Set of natural numbers less than 10
A = { 1, 2, 3, 4, 5, 6, 7, 8, 9 }
(5) Set of months with number of days is 30
M = { April, June, September, November }
To know more on sets
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Mr. Jackson has just finished building his treehouse and still needs to buy a ladder to be attached to the ledge of the treehouse and anchored at a point on the ground, as modeled below. Mr. Jackson is standing 1.3 meters from the stilt supporting the treehouse. This is the point on the ground where he has decided to anchor the ladder. The angle of elevation from his eye level to the bottom of the treehouse is 56 degrees. Mr. Jackson's eye level is 1.5 meters above the ground. Determine and state the minimum length of a ladder, to the nearest tenth of a meter, that Mr. Jackson will need to buy for his treehouse. (do not round until the very end)
Answer:
The length of the ladder Mr. Jackson will need to buy for his treehouse is approximately 3.7 meters
Step-by-step explanation:
The parameters given in the question are;
The horizontal distance from the point Mr. Jackson has decided to anchor the ladder to the the stilt supporting the tree house = 1.3 meters
The angle of elevation from Mr. Jackson's eye level to the bottom of the treehouse = 56°
The height of Mr. Jackson's eye level from the ground = 1.5 meters
From the question, we can draw the geometry of the ladder attached to the treehouse using Microsoft Visio as shown in the attached diagram
From the diagram, by trigonometric ratios, we have;
tan(56°) = a/1.3
∴ a = 1.3 × tan(56°) ≈ 1.927
By Pythagoras' theorem, we have;
The length of the ladder = √((a + b)² + 1.3²)
From the drawing, b = 1.5 m
Therefore, we have
The length of the ladder = √((1.927 + 1.5)² + 1.3²) ≈ 3.6653
The length of the ladder without rounding = √((1.3 × tan(56°) + 1.5)² + 1.3²) = 3.66559488352
∴ The length of the ladder given to the nearest tenth of a meter ≈ 3.7 m
The length of the ladder Mr. Jackson will need to buy for his treehouse ≈ 3.7 m.
HELP ASAP
Find the percent change to the nearest whole percent.
From 45 feet to 95 feet . A. 53% decrease
B. 53% increase
C. 111% decrease
D. 111% increases
In the dot plot above, the length of the coastline of each country in South America is shown in
thousands of kilometers (1000-km), rounded to the nearest thousand kilometers. According to
the dot plot, what is the mean length of coastline, in thousands of kilometers?
Answer:2
Step-by-step explanation:it’s the average
Answer:
2
Step-by-step explanation:
Given:
The length of coastline of each country in south America in thousands of kilometers.
To find:
The mean length of coastline, in thousands of kilometers
Explanation:
America is shown in thousands of kilometers so, using the given information
= 6(0) + 2(1) + 2(2) + 5(1) + 6(1) + 7(1)
= 30
= 30/15
= 2
Answer is 2 thousand kilometers
Please answer this quick
Exponential functions
Answer:
oh no i dunno how to do this
Step-by-step explanation:
Answer:
36, 6, (1/)36
1/6 ^ -2 = 6^2 = 36
1/6 ^ -1 = 6^1 = 6
1/6 ^2 = 1/36
I require help with this problem.
Part A
Storage locker A is 6 feet wide, 6 feet deep, and has a height of 9 feet. Storage locker B has a volume of 306 cubic feet. Which storage locker is bigger? Enter the volumes to explain your answer.
Locker ___ is bigger. Locker A has a volume of ___ cubic feet, while Locker B has a volume of 306 cubic feet.
Part B
The monthly rent for Locker A is $0.35 per cubic foot. The monthly rent for Locker B is $0.40 per cubic foot. How much does it cost to rent the largest locker each month?
___$
Answer:
a.) Locker A is bigger. Locker A has a volume of 324 cubic feet, while Locker B has a volume of 306 cubic feet.
b.) it cost $113.40 per month
Step-by-step explanation:
a.) 6x6x9= 324ft3 and thats larger than 306 cubic feet
b.)324*0.35=113.4
1/2 plus 1/8 equals.
Answer:
5/8
Step-by-step explanation:
hiii
GUYSSS PLS IM RUNNING OUT OF TIME ANY HELPPPP
Answer:
Welp, good luck the answer is c
Step-by-step explanation:
If you answer all 4 i will give you brainliest please answer ASAP
Answer:
9. The graph will shift down 2 units
10. The graph will be moved right by 4 units
11. The graph will be vertically stretched by 2 units
Step-by-step explanation:
PLEASE MARK AS BRAINLIEST! HOPE THIS HELPS! :)
Describe a real-world object that would be measured using square units and another that would be measured using cubic units. Explain.
Answer:
Volume or amount to f water in a jug
The size of a plot of land.
Step-by-step explanation:
The volume of capacity which a certain container can hold such as ; The amount water which can be filled into a cylindrical jug will be measured in cubic units as it requires the multiplication of 3 measured sides of the container ; for a cylinder, radius is squared and multiplied by height. (radius * radius * height).
The size or area of rectangular garden is measured using in square units as it only takes into consideration 2 of the measured parts of a shape.
A pet supply company makes a 5-gallon aquarium with a 10 inch by 10 inch base and a height of 14 inches. A museum wants to special-order a 135-gallon aquarium with the same shape. Find the new dimensions (length, width and height) of the new aquarium. Show or explain your work.
Two points on a linear graph are as follows: (-2, 3) & (4, 7). What is the slope of this line?
Answer:
slope is 10
Step-by-step explanation:
i graphed it using demos calculator
Suppose the consumer group used a sample size of 50 instead of 100 for each airline. When all other things remain the same, what effect would the decrease in sample size have on the interval?
Answer:
Width of confidence interval will increase.
Step-by-step explanation:
The sample size as an effect on the width of the confidence interval being calculated as it determines the value of the error margin. In general, increasing the sample size reduces the width of the confidence that interval while decrease in its value increases the error margin and hence the confidence interval.
Confidence interval :
Xbar ± Error margin
Error margin = Tcrit * s/ sqrt(n)
n = sample size
Being the denominator, a decrease in its value will result in an increase in error margin.
Can y’all please help me
Answer:
its 3
Step-by-step explanation:
Jean can pack 5 cartons in 15 minutes. Which expression can be used to show the number of cartons Jean can pack in x hours? Group of answer choices
Answer: 20x
Step-by-step explanation:
First we should note that 60 minutes = 1 hour. Therefore, 15 minutes = 15/60 = 1/4 hour
Since Jean can pack 5 cartons in 1/4 hours, the number of carton that he can pack in one hour will be:
= 5 ÷ 1/4
= 5 × 4
= 20 cartons.
Therefore, to get the number of cartons that Jean can pack in x hours, we will multiply 20 by x. This will be:
= 20 × x
= 20x
What’s the answer???
Answer:
The answer will be A
As 75 - 12 should be equal to 9x
So answer is "A"
will mark brainliest pls help
//5. Use substitution to solve the system of equations
3x - y = 4
2x - 3y = 9
Solution: (
)
Answer: (3,5)
Step-by-step explanation:
y=3x-4
2x-3y=-9
2x-3(3x-4)=-9
2x-9x+12=-9
7x=21
x=3
y=3(3)-4
y=5
What’s the answer????
Answer:
X = 9
Step-by-step explanation:
I dont know if i did this right i wanted to know if someone could check for me
Answer:
I think 5 is wrong but 1 and 4 are right
How do I do this problem?
Answer: calculate x e it says and it = 6
Step-by-step explanation: hope this helps pls give me brainly
Original price of concert tickets: $100.00 Discount: 21% - What is the sale price
of the ticket? *
Answer:
The sale price is 79 dollars :P
Step-by-step explanation:
uhhh just subract 100 - 21 and yea you should get 79. :)
A line passes through the points (3, 2) and (6, 1). What is the slope of a line that is perpendicular to this line?
Answer:5/9 I think
Step-by-step explanation:
FINDING THE AREA OF A NONRIGHT TRIANGLE USING THE BOX METHOD.
Answer:
Step-by-step explanation:
thank you so much. thank you.
Does anyone know 12 x 25 in distributive property?
Answer:
5(2.4*5)
Step-by-step explanation:
You can divide each of those numbers by any numbers then put it outside the parenthesis
What is the value of a missing angle
Answer:
63°
Step-by-step explanation:
First, by looking at the angle we see that the overall angle is a right angle. This means that the total will add up to 90°.
Knowing this we can then subtract
90° - 27° = 63°
Answer:
63
Step-by-step explanation:
The measure of a right angle is always 90 so
90-27=63
What is the probability the spinner will land on pink or an even number?
Answer:
Step-by-step explanation:
he probability of the spinner landing on an even number is 1/6.
Of the choices below, which unit of measurement would be most appropriate for measuring the volume of an ice chest? A. liters B. meters C. kilograms D. milliliters
Answer:
D. milimeters.
Step-by-step explanation:
Both meter and milimeter are length units. Kilogram is a mass unit. Liter is a volume unit, which is the cube of length in dimension terms. A liter equals 0.001 cubic meters or 1000000 cubic milimeters. Hence, the correct answer is D.
The area is approximately ___ square units.
Use 3.14 for π.
Answer:
A = 914 units
Step-by-step explanation:
The figure consists of a rectangle and a circle.
The sides of rectangle are 30 units and 20 units
The diameter of circle is 20 unit
Radius = 10 units
Required area = area of rectangle + area of circle
[tex]=l\times b+\pi r^2\\\\=30\times 20+3.14\times 10^2\\\\=914\ units[/tex]
So, the area of the figure is equal to 914 units.
Help just do number 7 please
Inches more: 19.1
Days more: 39
Step by step: 47.71 - 28.61 = 19.1
Step by step 2: 124 - 85 = 39
Answer:
asheville go 19.1 more inches of rain than wichita.
it rained 39 more days in asheville than Wichita.
Step-by-step explanation:
47.71 inches - 28.61 inches = 19.1 inches
124 days - 85 days = 39 days
Hope this helps❤