The Surface area of the cylindrical tower is 5181 ft cube.
How to find surface area of a cylinder?Surface area of cylinder = 2πr² + 2πrh
where
r = radiush = heightTherefore,
r = 30 / 2 = 15 ft
h = 40 ft
Surface area of cylinder = 2πr(r + h)
Surface area of cylinder = 30π(40 + 15)
Surface area of cylinder = 30π(55)
Surface area of cylinder = 1650π
Surface area of cylinder = 5181 ft³
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what is the dependent variable of "i did 60 brush strokes in 1 minute"
The dependent variable is time
How to determine the dependent variable?The statement is given as:
"I did 60 brush strokes in 1 minute"
The dependent variable is the variable that is dependent on the action that is done.
From the statement.
The action is the strokes of brush
And time is dependent on the number of strokes
Hence, the dependent variable is time
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Here is a right-angled triangular tile.
A hollow shape is made using four of these
triangular tiles and four square tiles.
Work out the perimeter of the hollow shape.
The perimeter of the hollow shape is 16d + 4(a + b + c)
How to determine the perimeter?The question is incomplete, and the missing parameters cannot be found.
So, I will give a general explanation on how to determine perimeter.
The given information are:
4 right triangles4 squaresThe perimeter of a right triangle that has sides a, b and c is:
P = a + b + c
Since there are 4 triangles, the perimeter of the 4 triangles is:
P = 4(a + b + c)
The perimeter of a square that has side length d is:
P = 4d
Since there are 4 squares, the perimeter of the 4 triangles is:
P = 4 * 4d
P = 16d
Add the perimeters of the squares and the triangles
P = 16d + 4(a + b + c)
Hence, the perimeter of the hollow shape is 16d + 4(a + b + c), where a, b, c and d are the unknown variables
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easy points for geometry
Adrian exercised three days during the past week. He exercised 58 minutes and 45 seconds during the
first day, 40 minutes and 40 seconds on the second day, and 20 minutes and 35 seconds on the third
day. How many hours did he spend exercising during the week?
Answer:
2h 1' 1"
Step-by-step explanation:
1h = 1 hora
1' = 1 minute
1" = 1 secind
The sum of the three days is:
58' 45"
+ 40' 40"
20' 36"
= 118' 121"
118' 121" = 118' + 121"
1' = 60"
121" = 120" + 1" = (120/60) + 1 = 2' + 1"
Then:
118' + 121" = 118' + 2' ´+ 1" = 120' + 1"
1 h = 60'
(120/60) + 1 = 2h + 1'
then:
118' + 121" = 2h + 1' + 1"
= 2h 1' 1"
Need help with this
Answer:
23 degrees
Step-by-step explanation:
We can use basic trigonometric equations to solve for the angle x because we are given a right triangle.
I will use the sin x = opposite / hypotenuse
sin x = 5 / 13
x = sin^-1 (5 / 13)
x = 22.61986 degrees
The question requires us to round to the nearest degree which is 23.
Other alternative methods you can use include the tangent and cosine functions or the law of cosines.
Answer:
x = 23°
Step-by-step explanation:
I will use
[tex]tanx=opposite/adjacent[/tex]
[tex]tanx=\frac{5}{12}[/tex]
[tex]x=tan^{-1} (\frac{5}{12} )=tan^{-1} (0.417)=22.62^{o}[/tex]
rounded to the nearest degree : 23°
Hope this helps
Help don’t understand
Answer:
f(-14) = -6
f(-4) = 6
f(12) = 6
f(0) = -3
negative
Step-by-step explanation:
f(-14) = -6
This is because when x is -14, y is -6, as seen in the graph
f(-4) = 6
This is because when x is -4, y is 6, as seen in the graph
f(12) = 6
This is because when x is 12, y is 6, as seen in the graph
f(0) = -3
This is because when x is 0, y is -3, as seen in the graph
is f(4) positive or negative?
negative
This is because when x is 4, y is -6, as seen in the graph
Suppose N1 can be exchanged for £0.12, what is the value of N12 in pounds?
Answer:
£1.44
Step-by-step explanation:
N1 = £0.12
N12 = 12 × N1 = 12 × £0.12 = £1.44
A restaurant sells burritos for $8.00 each. The cost of the meat is $1.50 and the cost of the other ingredients is $1.00 for each burrito.
Money made from selling burritos is positive. The cost of making burritos is negative. Profit is the money left after paying the costs.
How much profit would the restaurant make by selling 100 burritos?
Answer these questions to find out.
1. How much money would the restaurant take in by selling 100 burritos
Answer:
1. How much profit would the restaurant make by selling 100 burritos?
Answer: The restaurant would make $550
2. How much money would the restaurant take in by selling 100 burritos
Answer: The restaurant would take in $800
Step-by-step explanation:
First we have to add all the negatives.
-1.50 + -1.00
= -2.50
Now that we have that, we just need to multiply both the 8 dollars and the -2.50 by 100.
8 * 100 = 800
-2.50 * 100 = -250
Now we have the answer for the second question.
The restaurant would take in $800 before the cost of the ingredients.
But now we need to find the profit. (Which is the amount of money they made minus the cost of the ingredients and meat)
800 - 250 = 550
So the restaurant will make $550 in profit.
Hope this helped! :D
Answer:
$550
Step-by-step explanation:
To measure the height of a tree, Alma walked 125 ft from the tree and
measured a 32° angle from the ground to the top of the tree. Estimate the
height of the tree to the nearest foot.
Answer:
78.11 ft
Step-by-step explanation:
[tex]=125 tan 32\\=78.11 ft[/tex]
the mean monthly electric bill is 132 residents of the local apartment complex is $86 what is the best point estimate for the mean monthly electric bill for all residents of the local apartment complex?
Considering the sample mean, the best estimate for the mean monthly electric bill for all residents of the local apartment complex is of $86.
How to find the point estimate of a population parameter?The point estimate for the population parameter is found according to the parameter for a sample from the population. For example:
The best point estimate for the population mean is the sample mean.The best point estimate for the population standard deviation is the sample standard deviation.In this problem, the mean bill for 132 residents is of $86, hence the best estimate for the mean monthly electric bill for all residents of the local apartment complex is of $86.
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Marlon's TV plan costs $40.66 per month plus $6.71 per first-run movie. How many first-run movies can he watch if he wants to keep his monthly bill to be a maximum of $100?
Answer:
He can watch 8 movies
Step-by-step explanation:
100-40.66=59.34
6.71 x 8 = 53.68
therefore the most amount of movies he can watch is 8
A standard pair of six-sided dice is rolled. What is the probability of rolling a sum greater than 8? Express your answer as a fraction or a decimal
number rounded to four decimal places.
Answer:
Step-by-step explanation:
Nines: (3,6), (4,5), (5,4), (6,3)
Tens: (4,6), (5,5), (6,4)
Elevens: (5,6), (6,5)
Twelves: (6,6)
4 + 3 + 2 + 1 = 10 outcomes possible
36 outcomes total for rolling two dice.
P(sum > 8) = 10/36 or 5/18 simplified.
f (x) = 7 |x-5| + 9 does the absolute graph shrink or stretch
Answer:
it shrink
if the number outside the absolute value is greater than 1 it shrinks
if the numerous is smaller than 1 it stretches
remember the saying about the parent function if you run less than 1 mile you are wider than the parent
if you run more than a mile here the number is 7 so it's skinner yhan the
Step-by-step explanation:
At a harvest 16 ears are being picked foot every 18 peppers. If 19 peppers have been picked, how many eats of corn have been picked?
The number of eats of corn which have been picked is; 16.9 corns.
How many eats of corn have been picked?According to the question; 16 eats of corn are being picked foot every 18 peppers. In essence, the ratio of corns to peppers is; 16/18.
Hence, it follows that the number of corns which corresponds to 19 peppers been picked can be evaluated as follows;
16/18 = x/19
x = (19×16)/18
x = 16.9 eats of corn.
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what term does the dormula sinA/a =sinB/b represent
Answer:
Law of sines
Step-by-step explanation:
The law of sines is a formula used to find either an angle or side in a non-right triangle.
You have to have at least three parts to use it.
For example, if you have angle A and its side (a) along with angle B, you can use it to find side b.
will give brainliest
Answer:
Step-by-step explanation:
the area of a right triangle is 6 square units. if the length of one leg is 4, what is the length of the altitude to the hypotenuse?
a) 6/5 d)12/5
b)4/3 e)15/4
c)3/2
The length of the altitude to the hypotenuse of the right triangle is 3 / 5
How to find the altitude of a right triangle?A right triangle has one of it's angle as 90 degrees. Therefore,
area of right triangle = 1 / 2 bh
where
b = baseh = heightHence,
6 = 1 / 2 × 4 × h
6 = 4h / 2
cross multiply
12 = 4h
divide both sides by 4
h = 12 / 4
h = 3 units
Hypotenuse² = 4² + 3²
c² = 16 + 9
c = √25
c = 5
Therefore, the length of the altitude to the hypotenuse of the right triangle is 3 / 5
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FIFO and LIFO Costs Under Perpetual Inventory System The following units of an item were available for sale during the year: Beginning inventory 30 units at $40 Sale 21 units at $62 First purchase 30 units at $42 Sale 19 units at $64 Second purchase 26 units at $44 Sale 23 units at $64 The firm uses the perpetual inventory system, and there are 23 units of the item on hand at the end of the year. a. What is the total cost of the ending inventory according to FIFO? $fill in the blank 1 b. What is the total cost of the ending inventory according to LIFO?
The ending inventory using LIFO is $920.
The ending inventory using FIFO is $1,472.
What is the ending inventory?
LIFO means last in first out. It means that it is the last purchased inventory that is the first to be sold. Ending inventory would consist of first purchased inventory.
23 x $40 = $920
FIFO means first in, first out. It means that it is the first purchased inventory that is the first to be sold. Ending inventory would consist of last purchased items in inventory.
23 x $64 = $1,472
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3 gallons of milk having a hole in it and leaking at the rate of 1.5 ounces a second for 2 minutes. How much milk is left at the end?
Answer: 1.59375. Round to 1.6 if need be.
Step-by-step explanation:
Their are 384oz in 3 gallons (multiply gallons by 128)
Their are 120 seconds in 2 minutes (multiply minutes by 60)
Multiply 1.5 * 120 = 180 to get how many oz have drained after 2 minutes.
Subtract 384 - 180 = 204 to get how many oz left in the milk container.
Convert 204oz to gallons by dividing by 128. 204 / 128 = 1.59375gallons.
Pls Help! Geometry
What is the area of the blue section?
Considering the area of the circles, the area of the blue section is of [tex]50\pi[/tex] cm².
What is the area of a circle?
The area of a circle of radius r is given as follows:
[tex]A = \pi r^2[/tex].
The area of the blue section is given by the area of the larger circle, of radius 10 cm, subtracted by the area of the two smaller circles, each with radius of 5 cm, hence:
[tex]A_G = \pi 10^2 = 100\pi[/tex]
[tex]A_S = 2 \times \pi \times 5^2 = 50\pi[/tex]
[tex]A_B = A_G - A_S = 100\pi - 50\pi = 50\pi[/tex]
The area of the blue section is of [tex]50\pi[/tex] cm².
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Roll the number cube below several times to get a sense of its random behavior. What is the probability of rolling a 3?
Step-by-step explanation:
If you roll the die once, the probability of getting a 3 is 1/6
If you roll the die twice and get a three both times, the probability of that happening is 1/6 * 1/6 or 1/36
and so on...
The probability of rolling a 3 is 1/6.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given that,
A number cube is rolled several times.
There are a total of 6 numbers in a number cube.
Total outcomes = 6
We have to find the probability of rolling a 3.
Probability = 1/6
Hence the required probability is 1/6.
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I need help solving this problem
Consider the following couple, who are engaged to be married. Assume that each person takes one exemption and the standard deduction. Answer the questions below using the tax rates in the table to the right.
The income tax of Rebecca and Steve will be $27020 and $20625.
How to illustrate the tax?Rebecca has an income of $96500. The income tax will be:
= 28% × $96500
= 27020
Steve has an income of $82500. The income tax will be:
= 25% × $82500
= 20625
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Kathy Beckhardt weighs four of her sheep at the fair. She can weigh two of them at a time on the big scale. Sheep A and sheep B have an average weight of 150 pounds, sheep B and sheep C have an average weight of 127 pounds, and sheep C and sheep D have an average weight of 168 pounds. What is the average weight of sheep A and sheep D?
Using a system of equations, it is found that the average of sheep A and sheep D is of 191 pounds.
What is a system of equations?
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are the weights of the sheep, given by A, B, C and D.
Sheep A and sheep B have an average weight of 150 pounds, hence:
[tex]\frac{A + B}{2} = 150[/tex]
A + B = 300 -> B = 300 - A
Sheep B and sheep C have an average weight of 127 pounds, hence:
B + C = 254
300 - A + C = 254
C - A = -46.
A - C = 46.
C = A - 46.
Sheep C and sheep D have an average weight of 168 pounds, hence:
C + D = 336
A - 46 + D = 336.
A + D = 382.
The average weight of sheep A and sheep D in pounds is:
[tex]\frac{A + D}{2} = \frac{382}{2} = 191[/tex]
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Using the figure, which is an example of a diameter?
Answer: Segment AD
Reason:
Any diameter goes through the center of a circle, with both endpoints on the circle edge.
Another diameter is segment FC.
Answer:
CF and AD
Step-by-step explanation:
Hello!
Parts of a CircleA Radius is the line segment that stretches from the center of the circle to the outer curve.A Diameter is the line segment that stretches from side to side of a circle that goes through the center of the circle.The Circumference is the length of the outer border of the circle.Given the definitions, we are simply looking for any line that goes through the center of the circle, and touches twice on the circumference of the circle.
There are only two lines that seem to go through the circle, and have endpoints on the circle:
CFAD
PLEASE HELP
For j(x) = 4x − 2, find j of the quantity x plus h end quantity minus j of x all over h period
4 to the power of the quantity x minus 2 end quantity times the quantity 4 to the power of h end quantity all over h
4 to the power of the quantity x minus 2 end quantity times the quantity 4 to the power of h plus 1 end quantity all over h
4 to the power of the quantity x minus 2 end quantity times the quantity 4 to the power of h minus 1 end quantity all over h
the quantity x minus 2 end quantity times the quantity 4 to the power of h plus 1 end quantity all over h
Step-by-step explanation:
The figure below shows a portion of the graph of the function [tex]j\left(x\right) \ = \ 4^{x-2}[/tex], hence the average rate of change (slope of the blue line) between the [tex]x[/tex] and [tex]x+h[/tex] is
[tex]\text{Average rate of change} \ = \ \displaystyle\frac{\Delta y}{\Delta x} \\ \\ \rule{3.7cm}{0cm} = \dsiplaystyle\frac{f\left(x+h\right) \ - \ f\left(x\right)}{\left(x \ + \ h \right) \ - \ x} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{f\left(x + h\right) \ - \ f\left(x\right)}{h} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{4^{x+h-2} \ - \ 4^{x-2}}{h} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{4^{x-2+h} \ - \ 4^{x-2}}{h}[/tex]
[tex]\\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{\left(4^{x-2}\right)\left(4^{h}\right) \ - \ 4^{x-2}}{h} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{\left(4^{x-2}\right)\left(4^{h} \ - \ 1 \right)}{h}[/tex]
5 5/6 + 2 2/3 mixed number
If using the method of completing the square to solve the quadratic equation x^2-9x+2=0 which number would have to be added to "complete the square"?
The number that would have to be added to complete the square is 81/4.
What is a Quadratic Equation ?Quadratic equations are polynomials of degree 2 , It is represwented by ax² + bx +c = 0.
The quadratic equation given is
x² -9x +2 = 0
x² -9x + (81/ 4) - (81/4) + 2 = 0
x² -9x + (9/2)² - (81/4) +2 = 0
(x - 9/2)² - (73/4) = 0
Therefore , 81/4 will be added to complete the square to solve the quadratic equation.
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100 POINTS!!! A group of students were asked if they carry a credit card. The responses are listed in the table. If a student is selected at random, find the probability that he or she owns a credit card given that the student is a freshman. Round your answer to three decimal places.
Answer:
0.350 (3 d.p.)
Step-by-step explanation:
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Let P(A) = probability that the student is a freshman
Let P(B) = probability that the student owns a credit card
Use the given table to calculate the probability that the student is a freshman:
[tex]\implies \sf P(A)=\dfrac{60}{100}=0.6[/tex]
And the probability that the student is a freshman and owns a credit card:
[tex]\implies \sf P(A \cap B)=\dfrac{21}{100}=0.21[/tex]
To find the probability that the student owns a credit card given that the they are a freshman, use the conditional probability formula:
Conditional Probability Formula
The probability of B given A is:
[tex]\sf P(B|A)=\dfrac{P(A \cap B)}{P(A)}[/tex]
Substitute the found values into the formula:
[tex]\implies \sf P(B|A)=\dfrac{0.21}{0.6}=0.35[/tex]
Therefore, the probability that the student owns a credit card given that they are a freshman is 0.35
Find the values of x and y.
Answer: is C
Step-by-step explanation: