The area of the trapezoidal tarp in the hotel is 47.3 square inches
How to determine the area of the tarp?The area of a trapezoid is calculated using:
Area = 0.5 * (Sum of parallel sides) * Height
From the complete question, the parallel sides are:
10 ft and 12 ft
So, we have:
Area = 0.5 * (10 + 12) * h
Evaluate
Area = 11 * h
The height (h) is calculated using the following cosine function
cos(120 - 90) = h/5
This gives
cos(30) = h/5
Make h the subject
h = 5cos(30)
Evaluate
h = 4.3
So, we have:
Area = 11 * 4.3
Evaluate
Area = 47.3
Hence, the area of the trapezoid is 47.3 square inches
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Answer: To find the height, first find that <D is 120.
This means the height of the trapezoid is approximately 4.3 feet.
So, the area of the tarp is approximately 47.3 square feet.
Step-by-step explanation: correct on edmentum/plato
Fin find the 31st term in -3, -5, -7, -9
Answer:
-63
Find common difference:
-5 -(-3)-5 + 3-2nth term:
a + (n-1)(d) [where a is first term, d is common difference]-3 + (n-1)(-2)-3 -2n + 2-2n -1So 31st term:
-2(31) -1-63A stack of index cards contains 2 pink cards, 3 green cards, and 1 yellow card, Nancy will pull 3 cards from the stack, one at a time without looking. She will NOT replace a card before pulling the next card. What is the probability that she will draw a yellow card, then a green card, then a pink card?
Answer:
1/20
Step-by-step explanation:
This is conditional probability there the number of possible outcomes reduces everytime a card is drawn
Therefore probability= 1/6×3/5×2/4=1/20
1. Elissa is buying a new car. She has an excellent credit score of
822. She is able to get a low interest rate of 2.25% and will
have a down payment of $4,000 on a car that costs $19,500.
Calculate her monthly payments for a 5-year loan.
Answer:
$273.38 per month
Step-by-step explanation:
Monthly Payment Formula
[tex]\sf PMT=\dfrac{Pi(1+i)^n}{(1+i)^n-1}[/tex]
where:
PMT = monthly paymentP = loan amounti = interest rate per month (in decimal form)n = term of the loan (in months)Given:
P = $19,500 - $4,000 = $15,500i = 2.25% / 12 = 0.0225 / 12n = 5 years = 60 months[tex]\implies \sf PMT=\dfrac{15500 (\frac{0.0225}{12})(1+\frac{0.0225}{12})^{60}}{(1+\frac{0.0225}{12})^{60}-1}[/tex]
[tex]\implies \sf PMT=273.3788438[/tex]
[tex]\implies \sf PMT=\$273.38[/tex]
True or False? The best answer gets brainliest.
Answer:
false, true, fale
Step-by-step explanation: hi
Please Help i Don't Understand
Answer:
B is correct because it has the exact same numbers
Valerie is wrapping a box with wrapping paper the volume of the box is 476.16 cubic inches, and the length and width of the box are 4.8 inches and 8 inches respectively. How much wrapping paper is needed to cover the box?
The surface area of the rectangular box = the amount of wrapping paper needed to cover the rectangular box = 394.24 in.²
What is the Surface Area of a Rectangular Box?Surface area = 2(wl + hl + hw).
Volume = lwh.
Given the following:
Volume = 476.16 in.³
Length = 4.8 in.
Width = 8 in.
Find the height (h) using the volume formula:
476.16 = 4.8 × 8 × h
476.16 = 38.4 × h
476.16/38.4 = h
h = 12.4 in.
Surface area = 2(wl + hl + hw) = 2(8 × 4.8 + 12.4 × 4.8 + 12.4 × 8) = 394.24 in.²
The amount of wrapping paper needed to cover the rectangular box = Surface area = 394.24 in.²
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WILL GIVE BRAINLIEST
How would the mean change if the number 4 were added to the set?
3, 3, 2, 2, 2, 8, 8, 4
Question 4 options:
decrease
increase
no change
Answer:
No Change
Step-by-step explanation:
If you add all of the numbers, you get 32. When you divide it by how many numbers there were, you get 4. When you add 4 to 32, you get 36 and since you added one more number, you need to divide 36 by 9, which still makes 4.
Miles can type 60 words per minute. Let w represent the total number of words Miles can type and m represent the number of minutes he types. Which equation best represents this?
Answer:
The correct answer is w = 60m
Step-by-step explanation:
i need help with math
Answer:
Step-by-step explanation:
7) The lengths of the tangent from an external point to a circle are equal.2x - 1 = x + 10
2x = x + 10 + 1
2x = x + 11
2x -x = 11
[tex]\sf \boxed{\bf x = 11}[/tex]
8) Radius : XC
Chord: CB
Diameter : AB
Name of the circle: X {a circle is named by its center}
Find the mean, median, and mode of the data set 67, 52, 50, 99, 66, 50, and 57 with and without the outlier. which measure does the outlier affect the most?
Answer:
Mean - 63
Median - 57
The Mean affects the outlier the most.
Step-by-step explanation:
Mean is where u add all the numbers up and then divide them by how many are there. So 50 + 50 + 52 + 57 + 66 + 67 + 99 = 441. There are 7 numbers so 441/7 which equals 63. So mean is 63.
For median u order them least to greatest which is 50,50,52,57,66,67,99. The median is the middle number of this set which is 57.
Outlier is the first number which is 50. So the mean is the answer for which measure does the outlier affect the most bc 63 is bigger than 57 the median. So basically which is a more difference.
A surveyor is standing 550 feet from the base of a redwood tree in the California Redwood Forest. The tree is 362 feet tall. Sketch a drawing that models the situation and then find the angle of elevation of the top of the tree from the spot where the surveyor is standing.
Answer:
b
Step-by-step explanation:
B is a answer
Jenny, Kenny, and Penny together have 51 marbles. Jenny has m marbles,
Kenny has double as many marbles as Jenny has, and Penny has 12.
Answer:
m = 13
Step-by-step explanation:
51 = m + 2m + 12
3m = 39
m = 13
can someone help me with this problem? thanks!
Answer:
100m^2
Step-by-step explanation:
All sides of a square are equal so 10m x 10m = 100m. The answer is 100m^2 because it is a 2D figure.
domain and range of this graph
Answer:
c. D = {x | x ≥ -3}, R = {y | y ≥ 0}
Step-by-step explanation:
The domain is the horizontal extent of the graph. The range is its vertical extent.
__
We observe that point (-3, 0) is a point on the graph, so x=-3 is included in the domain, and y=0 is included in the range. The only answer choice that has the "or equal to" case included for both x and y is ...
D = {x | x ≥ -3}, R = {y | y ≥ 0}
Bruce is going to call one person from his contacts at random. He has 252525 total contacts. 202020 of those contacts are from his neighborhood.
What is \text{P(call a person not from his neighborhood})P(call a person not from his neighborhood)start text, P, left parenthesis, c, a, l, l, space, a, space, p, e, r, s, o, n, space, n, o, t, space, f, r, o, m, space, h, i, s, space, n, e, i, g, h, b, o, r, h, o, o, d, end text, right parenthesis?
If necessary, round your answer to 222 decimal places.
The probability of calling a person, not from his neighborhood, is 1/5 or 0.2 if the total number of contacts is 25
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total number of contacts = 25
Total number of contacts of neighbors = 20
Total number of contacts which is not of the neighbors = 25 - 20 = 5
The probability of call a person not from his neighborhood:
P = 5/25 = 1/5
P = 0.2
Thus, the probability of calling a person, not from his neighborhood is 1/5 or 0.2 if the total number of contacts is 25
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Answer: 1/5 or 0.2
Step-by-step explanation:
NEED HELPPPP PLSSSSS !!!
Answer: The answer is choice b .
Step-by-step explanation: HOPE IT HELPS .
Help me on this question please!
Answer:
9,12,19
Step by step explanation:
NATION
Which of the following statements are true? Check all that apply.
HELP ME!!!! 50 POINTS!!!!!
Answer:
1. Height of the prism= h
2. area of the base= B
3. Perimeter of the base= P
Step-by-step explanation:
Here are what the letters mean:
P = perimeter of the base
h = height of the prism
B = area of the base
EXPLAIN how to find surface area of a rectangular prism. Be specific and use examples.
How To Find the surface area for a normal prism
To find the surface area of a prism, use the formula SA=2B+ph, where SA stands for surface area, B stands for the area of the base of the prism, p stands for the perimeter of the base, and h stands for height of the prism.
Explanation: To find surface area of the rectangular prism.
The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.
Shapes.
Right rectangular prisms or cuboids are all around us. A few examples are books, boxes, buildings, bricks, boards, doors, containers, cabinets, mobiles, and laptops. Non-examples of a right rectangular prism: This shape is a prism but its top and base do not have right angles in the shape.
HOPE THIS HELPS,
CoDBiarex
Ariana has $40 to spend buying books online. Each book costs $8.50. It costs $4.00 to ship a package of books. How many books can Ariana buy?
Answer:
4
Step-by-step explanation:
First subtract the amount of shipping
40-4
36
She has 36 dollars to spend on books
36 divided by 8.50
4.235294118
Round down since she cannot buy part of a book
She can buy 4 books with some money left over
What is the vertex of the graph shown below? Write your answer in the form
(x,y).
Identify the function that best models the given data
Answer:
f(x) ≈ −2.42x3 + 15.89x2 − 7.55x + 12
Step-by-step explanation:
Notice that the year data are evenly spaced. Check the first differences between the total number or units to see if the data set is linear.
First Differences
41 − 18 = 23
67 − 41 = 26
82 − 67 = 15
69 − 82 = −13
17 − 69 = −52
Because the first differences are not constant, a linear model is not the best model of the data. Check the second differences to see if the data set can be modeled by a quadratic function.
Second Differences
26 − 23 = 3
15 − 26 = −11
−13 − 15 = −28
−52 − (−13) = −39
Because the second differences of the independent variable are not constant, a quadratic model is not the best model of the data. Check the third differences to see if the data set can be modeled by a cubic function.
Third Differences
−11 − 3 = −14
−28 − (−11) = −17
−39 − (−28) = −11
The third differences are approximately the same so we will use a cubic function to represent the data.
Enter the data into a calculator. Plot the data and find the cubic regression equation that best models the data.
f(x) ≈ −2.42x3 + 15.89x2 − 7.55x + 12
write a real-world problem that can be represented by the equation x+500=4732
Answer:
7858
Step-by-step explanation:
hope it helps you bye
………………………………………………..
Answer:
option c, 20
Step-by-step explanation:
Interquartile range is Q3 - Q1
Q3 is the upper end of the box: 35
Q1 is the lower end of the box: 15
35 - 15 = 20
The spinner shown is spun 4 times. What is the probability that you will spin gray at least 2 times?
Answer:
1 / 2
Step-by-step explanation:
Total times spun = 4
Probability of getting gray 2 times = 2 / 4 = 1 / 2
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Answer:
It wont work for me
Step-by-step explanation:
my school computer.
Eric and Linda are paid 52.25 for they're work. Eric worked 3.5 hours, and Linda worked 2 hours. They split the money according to the amount of time they worked. How much is Erics share of the money?
Answer:
$33.25
Step-by-step explanation:
Taking Eric's hours as a ratio to the total hours :
3.5 : 3.5 + 23.5 : 5.53.5 x 2 = : 5.5 x 27 : 11Multiply the ratio into the amount paid :
52.25 x 7/114.75 x 7$33.25Eric's share of the money is $33.25
Answer:
$33.25
Step-by-step explanation:
The combined, total number of hours they worked is
3.5 hours + 2 hours = 5.5 hours
The total pay is $52.25
The pay rate is $52.25/(5.5 hours) = $9.50/hour
Eric worked 3.5 hours.
Pay = 3.5 hours × $9.50/hour = $33.25
Which of the following represents the solution set to the equation: x2 + 2x + 26 = 0?
(1) 1 + 10i
(3) -2 + 2iV5
(2) 2 + iv5
(4) -1 ‡ 5i
Answer:
i think the answer is 4
Step-by-step explanation:
hope it's correct
writing math equation plspls help
Answer:
Varies based on the amount of games played.
Step-by-step explanation:
t = total cost
g = games played
For one game, t = 25
For an unknown amount of games, t = 25g
The total cost is the amount of games played times 25.