Answer:
50.41 feet
Step-by-step explanation:
Hypotenuse = length of ladder
31 = opposite side of angle
sin(angle) = (opposite)/(hypotenuse)
sin(78) = (36)/(hypotenuse)
hypotenuse = sin(78)/ (36)
hypotenuse = 50.41 feet
length of ladder = 50.41 feet
The number is a/an...
국
Tim bought all of the 2 3/4 lb packages for a party. How many pound of meat did tim buy?
Evaluate
A)–16
B)–4
C)16
D)[tex]-\frac{1}{32}[/tex]
Answer:
Answer is {C}
Step-by-step explanation:
1. Suppose three companies A, B and C dominate the market for a certain product and are
competing against each other for a large share of the market. Currently company A has 2/9 of the
market, company B has 4/0 of the market and company C has 1/3 of the market. The market
survey indicates that every 6 months Company A retains of its customer and loss 1/6 to
company B and 1/12 to company C. Company B retains 12 of its customers and loss 1/3 to
company A and 1/6 to company C. Company C retains 3/8 of its customers and loss A to
company A and 3/8 to company B. Find the market share of each company in the long run is
about
The market share of the companies is an illustration of fractions.
The market share of each company in the long run (i.e. after 6 months) is 37/108, 35/216 and 1/108, respectively
How to determine the market shares in the long runThe current market shares are:
Company A = 2/9Company B = 4/9Company C = 1/3After 6 months, we have:
Company A:
Retains 3/4Losses 1/6 to BLosses 1/12 to CCompany B:
Retains 1/2Losses 1/3 to ALosses 1/6 to CCompany C:
Retains 3/8Losses 1/4 to ALosses 3/8 to BThe amount of customers lost by each company is
Lost = Market share * [Share retained - Share lost to the other two companies].
So, we have:
A = 2/9 * [3/4 - 1/6 - 1/12] = 1/9
B = 4/9 * [1/2 - 1/3 - 1/6] = 0
C = 1/3 * [3/8 - 1/4 - 3/8] = -1/12
The amount of customers gained by each company is
Gain = Market share of company gained from * Share gained
So, we have:
A = 1/3 * 4/9 + 1/4 * 1/3 = 25/108
B = 1/6 * 2/9 + 3/8 * 1/3 = 35/216
C = 1/12 * 2/9 + 1/6 * 4/9 = 5/54
The total gain in 6 months is:
Total Gain = Gain + Loss.
This gives
A = 25/108 + 1/9 = 37/108
B = 35/216 + 0 = 35/216
C = 5/54 - 1/12 = 1/108
Hence, the market share of each company in the long run (i.e. after 6 months) is 37/108, 35/216 and 1/108, respectively
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Unit 6 lesson 10 surface area and volume unit test
Answer:
You have to ask a question
Step-by-step explanation:
Just answer
1 + 23 =
i give you 100 pts
I quit
hmm a tough one ima go with 24
Choose the equation for the graph.
Answer:
B. y = -|x - 2| + 5
Step-by-step explanation:
Here the parent function is |x|. It is flipped and translated upward by 5 units and shifted to the right by 2 units.
y = - |x - 2| + 5
hope this helps!! p.s. i really need brainliest :)
Decide if each set might produce one or more gaps when represented by a histogram. 1.The ages of students in a sixth-grade class. 2. The ages of people in a elementary school. 3. The ages of people eating in a family restaurant.
4. the ages of people who watch football. 5. The ages of runners in a marathon.
The set of data that might produce one of more gaps on thr histogram are:
the ages of people who watch football; andthe ages of people eating in a family restaurant.What is a Histogram?A histogram is a graphical representation of data such that the data is organized by data points into user-specified ranges.
The categories of people highlighted above will cause gaps because there is an increased likelihood that their ages will vary greatly or be distanced from the mean.
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Researchers gave 40 index cards to a waitress at an Italian restaurant in New Jersey. Before delivering the bill to each customer, the waitress selected one of the index cards without reading it and wrote on the bill the same message that was printed on the card. Twenty of the cards had the message "The weather is supposed to be really good tomorrow. I hope you enjoy the day!" Another 20 cards contained the message "The weather is supposed to be not so good tomorrow. I hope you enjoy the day anyway!" After the customers left, the waitress recorded the amount of the tip (percentage of bill) before taxes. The tips for those receiving the good‑weather message are as follows.
20.8 18.7 19.9 20.6 21.9 23.4 22.8 24.9 22.2 20.3
24.9 22.3 27.0 20.5 22.2 24.0 21.2 22.1 22.0 22.7
The tips for the 20 customers who received the bad weather message are as follows.
18.0 19.1 19.2 18.8 18.4 19.0 18.5 16.1 16.8 14.0
17.0 13.6 17.5 20.0 20.2 18.8 18.0 23.2 18.2 19.4
Click to download the data in your preferred format.
CSV Excel JMP Mac-Text Minitab14-18 Minitab18+ PC-Text R SPSS TI CrunchIt!
Back‑to‑back stemplots of the tips are shown.
Good Weather Tips Bad Weather Tips
13 6
14 0
15
16 1 8
17 0 5
7 18 0 0 2 4 5 8 8
9 19 0 1 2 4
8 6 5 3 20 0 2
9 2 21
8 7 3 2 2 1 0 22
4 23 2
9 9 0 24
25
26
0 27
Because the distributions are reasonably symmetric with no extreme outliers, the procedures will work well.
Is there good evidence that the two different messages produce different percentage tips?
Bruce Rind and David B. Strohmetz, "Effect of beliefs about future weather conditions on restaurant tipping," Journal of Applied Social Psychology, 31 (2001), pp. 2160–2164.
Carry out a two‑sample test. What is the test statistic? Give your answer to three decimal places.
=
What is the -value? Give your answer to three decimal places.
-value:
The test statistic and p-value of the given data are 6.274 and 0.0001 respectively.
Test StatisticThe test statistic can be calculated using the formula below
[tex]t = \frac{x-\mu}{\sigma / \sqrt{n} }[/tex]
Solving for the mean and standard deviation, we can substitute the values into the above equation which will be
[tex]t = \frac{x-\mu}{\sigma / \sqrt{n} } = 6.274[/tex]
P-ValueUsing the data from the test statistic, we can calculate the p-value of the data
[tex]p-value = p(z < 6.274)= 0.0001 = 0.00[/tex]
From the calculation above, the test statistic and p-value of the given data are
6.2740.0001Learn more on test statistic and p-value here;
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Show the problem on a number line:
4(-2) =
Answer:
-8
Step-by-step explanation:
This is the same as 4 x -2.
The parenthesis just means to multiply the number to the left by whatver is in the paranthesis when it is touching like that.
Suppose the Federal Reserve set the reserve requirement at 20%. Assume that banks lend all reserves that are not required to be held. Round the answers to two decimal places.
Answer:
whaaaat iisss these. answeeeeeeer??The lengths of the sides of a triangle are 9, 12, and 15. Classify the triangle as acute, right, or obtuse.
Answer:
right angle triangle
Step-by-step explanation:
by applying Pythagoras theorem
[tex] RHS ={9}^{2} + 12 ^{2} = 81 + 144 = 225=√225 =15=LHS[/tex]
hence proved
28. Pay attention to the height data (cm) of the following 10 students! 155, 153, 153, 160 157, 155. 160, 155, 150, 155 The data mode is Your :
A. 150
B. 153
C. 155
D. 157
Answer:
c.155
Step-by-step explanation:
because it appears there the most :)
22. Four years ago, age of X was 3 times Y. Six years from now X will be twice Y. Ages of X and Y
now are:
A.
034 and 14
B.
034 and 13
C.
033 and 14
D.
035 and 14
Answer:
a 34 and 14
Step-by-step explanation:
let present age be x and y
equation 1
x-4=3(y-4)
x=3y-8
equation 2
x+6=2(y+6)
x=2y+6
then
2y+6=3y-6
y=14
x=34
if the length of diagonal of a square is 4-√2 cm, find it's length, perimeter and area.
Step-by-step explanation:
1) the length of the side is:
[tex]\frac{4-\sqrt{2} }{\sqrt{2}}=2\sqrt{2}-1.[/tex]
2) the required perimeter is:
[tex]P=4(2\sqrt{2} -1)=8\sqrt{2} -4.[/tex]
3) the required area is:
[tex]A=(2\sqrt{2} -1)^2=9-4\sqrt{2}.[/tex]
Answer:
Side length = (2√2 - 1) units
Perimeter = (8√2 - 4) units
Area = (9 - 4√2) units²
Step-by-step explanation:
Properties of a square:
It is a quadrilateralThe opposite sides are parallelAll four sides are equal in lengthAll interior angles measure 90°The diagonal of a square creates two right triangles, with the diagonal being the hypotenuse, and the sides of the square being the 2 legs.
Let x = side length of the square
Using Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ x² + x² = (4 - √2)²
⇒ 2x² = 18 - 8√2
⇒ x² = 9 - 4√2
⇒ x = ±(2√2 - 1)
⇒ x = 2√2 - 1 only (as distance is positive)
Perimeter of a square = 4x
= 4(2√2 - 1)
= 8√2 - 4
Area of a square = x²
= (2√2 - 1)²
= 9 - 4√2
What is the root of 12x=9+5x2
Answer:
Step-by-step explanation:
Answer:
(6 ± 3i)/5
Step-by-step explanation:
12x = 9 + 5x²
5x² - 12x + 9 = 0
Method 1
Factors that add to = b (-12) and multiply to = ac (45): 3 and -15
5x² + 3x - 15x + 9 = 0
5x(x - 3) + 3(x + 3) = 0
(x-3) and (x+3) do not match !!!!
Method 2 - Quadratic Formula
-b ± √(b² - 4ac)/2a
12 ± √((-12)² - 4(5)(9))/2(5)
12 ± √((-12)² - 4(5)(9))/2(5)
12 ± √(144 - 180)/10
12 ± √-36/10
(12 ± 6i)/10
(6 ± 3i)/5
I hope this helps!
Are constant functions periodic? The reason I ask this is because a function is periodic if it has a period but in a constant function the period could be infinitely small.
Answer:
A function f:R→R is periodic if there exists some number t>0 such that
f(x)=f(x+t)
A constant function is periodic since you can take t=1,t=2, etc. (Hint: Hover over the tag "periodic-functions". What do you see?)
The fundamental period of f is the smallest of such t's. Since t cannot be 0, you are looking for the minimum of (0,∞), which does not exist.
Step-by-step explanation:
f an angle of a regular 18-gon measures 3x-6. Find the value of x.
The value of x in a 18-gon that has an interior angle measurement of 2x - 6 is 55.33
What are polygons?Polygons are 2-dimensional shapes that are made of straight lines.
Therefore,
sum of interior angle of polygon = 180(n - 2)
where
n = number of sidesTherefore,
sum of interior angle of polygon = 180(18 - 2)
sum of interior angle of polygon = 180(16)
sum of interior angle of polygon = 2880
Since, it is a 18-gon, the value of x can be found as follows;
2880 / 18 = 160 degrees
Therefore,
3x - 6 = 160
3x = 160 + 6
3x = 166
x = 166 /3
x = 55.3333333333
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Which expression is equivalent
Answer:
the answer is 1/27. C :))
Select the correct answer.
Tatum plans to buy some personalized sticky notes for her home office. The graph shows a proportional relationship between the number of packs of sticky notes she can buy and the total price. If Tatum has $30.50 to spend on sticky notes, how many packs can she buy? Assume that she can buy only whole packs.
A. 1
B.2
C.3
D.4
ANSWER FAST I NEED THIS NOWW
Larry, a chemistry student, needs 10% acetic acid solution for a chemistry experiment. He realizes he only has 5% and 20% acetic acid solutions available. He decides to make the 10% solution by combining the 5% and 20% solutions. How many liters of the 5% solution must he add to 8 liters of the 20% solution to get a solution that is 10% acetic acid?
a) 16.5
b) 32
c) 16
d) 8.5
e) 24
The triangles on the grid below represent a translation.
4
3
0
2
1
b
8
54-32-14
1 2
3
b
8
To form the image, the pre-image moved
five units right and three units up.
two units right and three units up.
Mark this and return
Save and Exit
Next
Answer:
Five units right and three units up.
If you notice there's a ' on the green triangle (a',b',c')
That means that the blue triangle was translated to get to the green triangle
If sodium 24 has a half life of 15 hours if there are 800g of na-24 initially how long will it take for 750g of na-25 to decay so that only 50g remains
It would take about 60 hours to decay so that only 50g of the sodium remains
How to calculate half life?The half life is 15 hours and there are 800 g initially. Let N(t) represent the amount of sodium after t hours. Hence:
[tex]N(t)=800(\frac{1}{2} )^\frac{t}{15} \\\\For\ 50g\ to \ remain:\\\\50 = 800(\frac{1}{2} )^\frac{t}{15}\\\\t=60\ hours[/tex]
It would take about 60 hours to decay so that only 50g of the sodium remains
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five years ago, Nina was twice as old as Sam. In five years she will be 1.5 times as old as Sam. How old are Nina and Sam now?
The age of Nina and sam are 15years and 10 years respectively now
System of equationsThey consists of equations and unknown variables
Let their current age be x and y
If five years ago, Nina was twice as old as Sam then;
x - 5 = 2(y-5)
If in five years she will be 1.5 times as old as Sam, then;
x = 1.5y
Substitute
1.5y - 5 = 2y -10
-0.5y = -5
y =5/0.5
y = 10
Since x = 1.5y
x = 15years
Hence the age of Nina and sam are 15years and 10 years respectively now
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#SPJ2
Find the area of this triangle
Answer:
22
Step-by-step explanation:
22 is the area of the given traingle
help!
Can you please give me the area of this. I would really like it.
Answer:
The answer is 340 ft²
To find the total area we make two squares and a big rectangle.
1st square
3x5=15
2nd square
5x5=25
Rectangle
20x15=300
Total Area
15+25+300 = 340ft²
How can we use the distributive property to find an expression equivalent to
10(5 – 2x)? Place the steps in order.
Answer: multiply 10 to both terms and subrtact products
Step-by-step explanation:
10(5 - 2x)
multipy 10 to both terms
50 20x
subtract products
50 - 20x
Answer:
1. subtract 2×from get 3.×= 682+ 4672
pls like and follow me you byeFind the area
(Please would mark Brainily
Answer:
195.5 m²
Step-by-step explanation:
A = bh/2
A = (23)(17)/2
A = 391/2
A ≈ 195.5 m²
Solve the system by graphing.
What is the solution of y=-x+4 and y=3/5x+4
Answer:
x=0 and y=4 thats where the points meet
Step-by-step explanation:
solution of x and y:
both equations equal to y so you can put them together
3/5x+4=-x+4
separate the variables and numbers...
1.6x=0
x=0
y=4
if ur using a graph, use the y intercept (0,4) for your first point
then, using y=-x+4, make -x a fraction -1/1
by using rise/run go down one unit from (0,4) since its negative 1
then one unit to the right from where you are
you should be able to connect the points for the first equation
find the second equation on your own now:)
What would the answer be?
Answer:
3 2/4
Step-by-step explanation:
1 3/4 + 1 3/4 = 6 2/4
because 3/4 +3/4 = 6/4 = 1 2/4
and 1+1+1 =3
Answer: [tex]3 \frac{1}{2}[/tex]
This is the same as writing 3 & 1/2 to mean "3 and a half".
Check out the diagram below. I've shaded the pizza slices to represent the mixed numbers being added. Notice in the bottom row I've moved one red slice over to make a full pie. Overall we have 3 full pies plus an extra half, when all is said and done.