What is the surface area of the cylinder in terms of pi? The diagram is not drawn to scale.
Answers
Surface Area = 2π(7)² + 2π(7)(15) = 308π in²²
Answer: 308π in²
The solution is, 308π in² is the surface area of the cylinder in terms of pi.
What is surface area?Surface area is the amount of space covering the outside of a three-dimensional shape. The surface area of a solid object is a measure of the total area that the surface of the object occupies.
here, we have,
from the given diagram , we get,
the cylinder has,
radius = r = 7
height = h = 15
we know that,
Surface Area = 2πr² + 2πrh
so, we get,
r = 7
h = 15
substituting the values, we get,
Surface Area
= 2π(7)² + 2π(7)(15)
= 308π in²²
Answer: 308π in²
Hence, The solution is, 308π in² is the surface area of the cylinder in terms of pi.
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Related Questions
What is the value after 7 years of a 2014 Ford Mustang that originally costs 25000 if it depreciates at a rate of 8% per year
Answers
1. $25,000 is 100% of the cars original cost. You want to add an 8% depreciation rate per year, so you subtract 8%, to get 92%.
2. Move 92% over two decimal places to get .92, you can multiply this by the original price to find the price of the car after one year of depreciation. 25,000 * .92 = 23,000. The car cost $23,000 after the first year.
3. Repeat this process 6 more times to find the price of the car after 7 years.
The answer is $13,946.16
Answer:
The answer is 14000
Step-by-step explanation:
Please Help! Will give Brainliest!! 1. ______________ is process that you can do over and over, where each result does not affect the next. Ex. Flipping a coin, rolling dice, choosing a card, etc. 2. ________________ are the possible results of an experiment. Example: Heads, tails; 1, 2, 3…; Ace, King, Queen…; etc. 3. ______________is the measure of how likely an event is. 4. An ________________ event has a 0% chance of occurring Example : Rolling a 7 on a 6 sided die. 5. A ________________ event has a 100% chance of occurring. Example: Picking a red ball from a bag of only red balls. 6._______________ probability is what you expect to happen. 7.________________ probability is what actually happened. 8.The ___________ is the average value of all data in a set.
Answers
In probability, an experiment is any procedure that can be infinitely repeated and has a well-defined set of possible outcomes. Thus, an experiment is a process that you can do over and over, where each result does not affect the next. For example: Flipping a coin, rolling dice, choosing a card, etc. are all experiments.
Part 2.
Outcomes are the possible results of an experiment. For example: When a coin is tossed, you either get a Heads or a Tails. Thus, Head, Tail are the outcomes of tossing a coin The set of possible outcomes from an experiment is called the sample space of the experiment.
Part 3.
Probability is the measure of how likely an event is to occur. Probability takes values between 0 and 1, where, 0 indicates impossibility and 1 indicates certainty. The higher the probability of an event, the more likely it is that the event will occur.
Part 4.
An impossible event has a 0% chance of occurring. Like stated in part 3 above, probability takes values between 0 and 1, where, 0 indicates impossibility and 1 indicates certainty. A probability of 0 implies that the occurrence of the event is impossible. For example: It is impossible to roll a 7 on a 6 sided die.
Part 5.
A certain event has a 100% chance of occurring. Like stated in part 3 above, probability takes values between 0 and 1, where, 0 indicates impossibility and 1 indicates certainty. A probability of 1 implies that the occurrence of the event is certain. For example: It is certain that a ball picked from a bag containing only red balls will be red.
Part 6.
Theoretical probability is what you expect to happen. In theoretical probability, we do not conduct an experiment, rather we use our knowledge about a situation, some logical reasoning, and/or known formula to calculate the probability of an event happening. Theoretical probability is given by the number of favorable outcomes divided by the total number of possible outcomes.
Part 7.
Experimental probability is what actually happened. Experimental probability is when the probability of an event happening is calculated by conducting an experiment. Experimental probability is given by the numberof event occurrences divided by the number of trials.
Part 8.
The arithmetic mean is the average value of all data in a set. The arithmetic mean is a measure of central tendency calculated by adding all the data values in the data set and dividing the sum by the total number of observations.
Identify the solution set of the inequality using the given replacement set. x < –4; {–5, –4.6, –4, –0.8, 1, 1.5}
Answers
If you plug in -5 for x you get
[tex] - 5 < - 4[/tex]
which is not true, so it is not a solution. Therefore it is not apart of the solution set. Same for -4.6, and -4, as these values are not greater than -4. However when you substitute in -0.8 you get the solution:
[tex] - 0.8 < - 4[/tex]
which is true, and it is the same for 1 and 1.5, which is why these numbers would be considered as part of the solution set.
What is 10/12 equivalent to
Answers
This can be found by dividing both to and bottom by 2, thus simplifying it into 5/6.
I hope this helps!
Let me know if you have any further questions.
:)
Kevin is 39 years old and daniel is 3 years old.how many years will it take until kevin is only 4 times as old as daniel?
Answers
Brody is purchasing some tools for his workshop. He has a budget of $120 and needs to buy at least 14 tools. Each hammer costs $10, and each wrench costs $6. If the solution region represents the number of hammers and wrenches that Brody can buy given his budget, determine which graph represents the solution set to the system of inequalities representing this situation.
Answers
x: number of hammers
y: number of wrenches
We write the system of inequations:
10x + 6y <= 120
x + y> = 14
We graph the system of inequations.
The solution set is given by the shaded region of the graph.
Answer:
see attached image.
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x------> the number of hammers
y------> the number of of wrenches
we know that
[tex]10x+6y\leq 120[/tex] -----> inequality A
[tex]x+y\geq 14[/tex] -----> inequality B
using a graphing tool
The solution of the system of inequalities is the shaded area
see the attached figure
A house and a lot is appraised at $212,400. The value of the house is five times more the value of the lot. What is the house worth?
Answers
the lot is worth $35,400
List the following stocks and bonds in order from lowest default risk to highest default risk:
Bond in a stable foreign government
Preferred stock
Common stock
A. foreign government bond, common stock, preferred stock
B. foreign government bond, preferred stock, common stock
C. common stock, preferred stock, foreign government bond
D. preferred stock, common stock, foreign government bond
Answers
Stocks represent part of the ownership of a corporation, but preferred stockholders get paid before the common stockholders, especially in case of insolvency of the corporation.
Therefore, the least risky investment is a bond of a foreign government, while the riskiest investment is a common stock.
Hence, the correct answer is B. foreign government bond, preferred stock, common stock.
40 POINTS!
Any help would be greatly appreciated!
Answers
[tex]\cos x=\sin x[/tex]
[tex]x=\dfrac{\pi}{4}+k\pi;\ k\in\mathbb{Z}[/tex]
PLEASE ANSWER ASAP!!! GIVING BRAINLIEST
explain how you would create and use a spinner to simulate the probability of an event
Answers
To simulate the probability in a spinner divide the spinner into colors depending on the probability each color represents.
What does the word "probability" mean?This word refers to the likelihood for an event to occur. Moreover, it is often expressed either as a fraction, a percentage, or a number.
In this case, each of the colors represents a probability:
Green 20%
Blue 1/4 or 25%
Yellow 2/5 or 40%
Orange 15%
Now, Due to this, the best is to divide the spinner by colors and considering the percentages of each color.
Hence, For example 40% of the spinner should be red, while 15% should be orange.
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complete question;Explain how you would create and use a spinner to simulate the probability of an event with the following probabilities:
Percent chance: 20% green, ¼ blue, ⅖ yellow, and 15% orange
A cone with radius 5 units is shown below. Its volume is 105 cubic units. Find the height of the cone.
Answers
Answer:
height of the cone = 4.01273885 units
Step-by-step explanation:
Volume of a cone(V) is given by:
[tex]V = \frac{1}{3} \pi r^2h[/tex] ....[1]
where,
r is the radius and h is the height of the cone.
As per the statement:
A cone with radius 5 units and ts volume is 105 cubic units
⇒r = 5 units and V = 105 cubic units
Substitute these given values and use [tex]\pi = 3.14[/tex] in [1] we have;
[tex]105 = \frac{1}{3} \cdot 3.14 \cdot 5^2 \cdot h[/tex]
Multiply both sides by 3 we have;
⇒[tex]315 = 78.5 \cdot h[/tex]
Divide both sides by 78.5 we have;
[tex]4.01273885 = h[/tex]
or
h = 4.01273885 units
Therefore, the height of the cone is, 4.01273885 units
The height of the cone is 4 units.
What is the volume of a cone?The volume of the cone is equal to;
[tex]\rm Volume \ of \ cone=\dfrac{1}{3} \times b \times h[/tex]
Where; B is the area of the circular base of the cone, and h is the height of the cone.
The base of the cone is given by;
[tex]\rm Base=\pi r^2[/tex]
Substitute all the values in the equation
[tex]\rm Volume \ of \ cone=\dfrac{1}{3} \times b \times h\\\\Volume \ of \ cone=\dfrac{1}{3} \times \pi r^2\times h \\\\ 105=\dfrac{1}{3} \times 3.14 \times 5^2\times h\\\\h = \dfrac{105\times 3}{25 \times 3.14}\\\\h=64[/tex]
Hence, the height of the cone is 4 units.
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A weather satellite I'm circular orbit around earth completes one orbit every 5 hours. The radius of earth is about 6,400 km and the satellite is positioned 4,700 km above the earth. How far does the satellite travel in 1 hour?
Answers
1. You have that:
- It completes one orbit every 5 hours.
- The radius of earth is about 6,400 km.
- The satellite is positioned 4,700 km above the earth.
2. Then, you must use the following formula:
S=rθ
r=6,400 km+4,700 km
r=11,100 km
3. When you substitute the values, you obtain:
S=(11,100 km x 2π)/5
S=13,949 km
The answer is:13,949 km
How would you solve the area
Answers
so the composite is just 2 triangles, one rectangle and one parallelogram.
we know the height and base of the triangles and length and width of the rectangle.
now, the parallelogram, we can simply split in in two triangles and a rectangle, like you see the split in the middle, and that gives us two more triangles and one rectangle.
so, we can simply get the area of each of those figures and sum them up, and that's the area of the composite.
[tex]\bf \stackrel{\textit{left triangle}}{\cfrac{1}{2}(11)(8)}~~+~~\stackrel{\textit{left rectangle}}{11\cdot 9}~~+~~\stackrel{\textit{upper middle triangle}}{\cfrac{1}{2}(11)(2)} \\\\\\ +~~\stackrel{\textit{middle rectangle}}{7\cdot 11}~~+~~\stackrel{\textit{lower middle triangle}}{\cfrac{1}{2}(11)(2)}~~+~~\stackrel{\textit{right triangle}}{\cfrac{1}{2}(8)(9)}\\\\ -------------------------------\\\\ 44+99+11+77+11+36\implies 278[/tex]
The larger square garden at Volterra Hall has sides twice as long as the smaller square garden. Together the gardens cover 18,000 square feet. Find the dimensions of each garden.
Answers
The gardens are square. There are two of them. The total is 18000 square feet. There is a relationship between smallest and largest square.
Development of the Equation.
Formula for a square = s*s
The first garden has a side of s
The larger garden has a side of 2s
The area of the first garden = s^2
The area of the 2nd garden = (2s)^2
The two areas together are
s^2 + (2s)^2 = 18000
Solve
s^2 + 4s^2 = 18000 Add the like terms on the left.
5s^2 = 18000 Divide by 5
s^2 = 18000/5
s^2 = 3600 Take the square root of both sides.
sqrt(s^2) = sqrt(3600)
s = 60 For the small garden
2s = 2*s = 2*60 = 120 for the large garden.
Answers
Small garden = 60 by 60
Large garden = 120 by 120
Check
Area of the small garden = 60 * 60 = 3600
Area of the large garden = 120*120 = 14400
Total Area = 18000 and it checks.
Which situation is best modeled by the equation 9+x=16 ?
a.You have $16
left after spending $9
and some other amount.
b.Nine friends each pay the same amount to get into a theme park, and the total is $16.
c.The price of a water bottle, $9
, was decreased by some amount to $16.
d.You pay $9
for a burger and some amount for dessert for a total of $16.
Answers
d. You pay $9 for a burger and some amount for dessert for a total of $16.
Step-by-step explanation:We have the following equation:
[tex]9+x=16[/tex]
So the variable of this equation is the amount of money. According to the statement we have that:
A burger costs $9.A dessert costs $xThe total you pay is $16If we solve this equation, we have that:
[tex]x=7[/tex]
So the dessert costs $7. Finally, you pay $16 for the burger and the dessert as follows:
You pay $9 for the burger.You pay $7 for the dessert.You pay a total amount of money = $16Answer:
You pay $9
$
9
for a burger and some amount for dessert for a total of $16
$
16
.
Step-by-step explanation:
If a tessellation is regular, how many sides can the tessellating regular polygon have?
Answers
I hope my answer helped you. Have a nice day!
Plz Help
A survey asked males and females to watch two commercials and select the one they liked best. The results of the survey are shown in the two-way frequency table.
Commercial A Commercial B
Males 0.28 0.14
Females 0.33 0.25
What percent of the respondents were female?
Answers
Answer: There is 58% of female respondents.
Step-by-step explanation:
Commercial A Commercial B Total
Males 0.28 0.14 0.42
Females 0.33 0.25 0.58
Total 0.61 0.39 1.00
So, Percentage of the respondents were females is given by
[tex]\dfrac{0.58}{1}\times 100\\\\=58\%[/tex]
Hence, there is 58% of female respondents.
The number 12,570 is divisible by 2, 3, and 6. True False
Answers
Answer:
true have a amazing and blessed day god loves you
Step-by-step explanation:
Please help asap 30 pts
Answers
What is the next step in completing this construction?
Answers
• Name the point of intersection just created between the arc and circle O
• Draw a line (or segment) between points P and J
• Draw a line (or segment) between point P and the intersecting point just created on circle O.
Answer:
The next step in completing the construction is
Join P to cut arc on circle i.e join PJ.
Step-by-step explanation:
Given the construction of tangent from the external point.
we have to tell the next step in completing the construction shown in diagram.
The step for construction are
Step 1: Draw a line joining the point to center of the circle to any external point P.
Step 2: Construct the perpendicular bisector of that line .
Step 3: Place the compass on the midpoint, adjust its length to reach the point P, and draw an arc across the circle .
Step 4: Join P to cut arc on circle i.e join PJ.
The 4 step is required step to complete the construction.
Hence, the next step in completing the construction is
Join P to cut arc on circle i.e join PJ.
Juan makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours
Answers
h hours = $8h
Answer: p = $8h
Juan's total pay p after working h hours is calculated using the equation p = 8h. This represents a direct relationship between hours worked and total earnings.
To represent Juan's total pay p after working h hours at a rate of 8 dollars per hour, we use the equation p = 8h. This equation shows that the total pay (p) is equal to the rate of pay per hour (8 dollars) multiplied by the number of hours worked (h).
For example, if Juan works for 8 hours a day, his total pay would be calculated as p = 8 * 8, which equals $64. If we consider a full day of work to be 8 hours producing a value of $160, we can see that Juan is being paid for only half the hours at that rate, since 8 hours' labor would have a value of $80 at his rate of pay.
My answer for this question is Graph D, but it looks like Graph B could also be a candidate. B and D both show decreasing graphs, and I've chosen D simply because it "looks" like it is decreasing faster. At x = 0, the slope of Graph D is less than that of Graph B. I am guessing that Graph B shows a parabola whereas Graph D shows something exponential (i.e. with an increasing rate)?
Answers
Choice B starts off with a slow pace of decreasing and then speeds up in terms of how much is decreasing. In other words, it is accelerating in how fast it is decreasing. How can we tell? Because of the slope of the tangent line. The slope of the tangent line at x = -1 is much less steep compared to the slope of the tangent at x = 5. The more steep the line, the faster the amount of decrease.
Choice D is the opposite of choice B in a sense. It starts off with fast decrease and that decreasing pace slows down. So if it asked "decreasing at a decreasing rate", then choice D would be the answer.
Answer: Choice B
Edit: one example graph B could model is the amount of water left in a large container. If we had a small hole at the bottom, then the water would leak out slowly at first. If the hole progressively gets bigger (say the water eats at the hole), then the water would leak faster and faster, which makes the curve steeper and steeper.
Solve the following equation. Show all your work.
Start Fraction x over x minus 2 End Fraction plus Start Fraction x minus 1 over x plus 1 End Fraction equals negative 1
someone...please..god..
Answers
[tex] (x - 2)(x + 1) \times \dfrac{x}{x - 2} + (x - 2)(x + 1) \times \dfrac{x - 1}{x + 1} = -1(x - 2)(x + 1) [/tex]
[tex] (x + 1)x + (x - 2)(x - 1) = -1(x - 2)(x + 1) [/tex]
[tex] x^2 + x + x^2 - 3x + 2 = -x^2 + x + 2 [/tex]
[tex] 3x^2 - 3x = 0 [/tex]
[tex] 3x(x - 1) = 0 [/tex]
[tex] x = 0~~~or~~~x - 1 = 0 [/tex]
[tex] x = 0 ~~~ or ~~~ x = 1 [/tex]
Since neither 0 nor 1 cause a zero in a denominator in the original equation, 0 and 1 are acceptable as solutions.
Answer: x = 0 or x = 1
Savings account A has 1500 and pays 3.5% interest yearly. Savings account B has 1400 and pays 4% interest yearly. the savings account that earned the most interest after one year is savings account.
Answers
Savings Account B earned the most interest after one year.
Explanation:To determine which savings account earned the most interest after one year, we can calculate the interest earned by each account using the formula:
Interest = Principal x Rate
For Account A: Interest = 1500 x 0.035 = $52.50
For Account B: Interest = 1400 x 0.04 = $56.00
Therefore, Account B earned more interest after one year, with a total of $56.00.
David is building a sandbox for his nephew. The dimensions are 10 ft. by 8 ft. and is 1.5 ft. deep. How much sand will the box hold? Give answer in terms of cubic feet.
Answers
So you are looking for the volume of the sand box so what you need to do is multiply the info you got. 10x8x1.5=120
so your answer would be 120 sf
Volume = 10 x 8 x 1.5 = 120 ft³
Answer: The box can hold 120 ft³ of sand.
Find the tangent of both angle A and angle B. Ignore what the picture says the numbers are the same.
Answers
tan (A) = C.O / C.A
tan (A) = 10/24
Simplifying we have:
tan (A) = 5/12
For angle B we have:
tan (B) = C.O / C.A
tan (B) = 24/10
Simplifying we have:
tan (B) = 12/5
Answer:
The tangent of angles A and B is given by:
tan (A) = 5/12
tan (B) = 12/5
given that A=43 degrees , B=82 degrees and c=28, solve triangle ABC. Round to the nearest hundredth. A) C= 93 degrees , b= 33.8 , a= 23.3 B) C= 55 degrees , b= 33.8 , a= 23.3 C) C= 55 degrees , b= 23.3 , a= 33.8 D) C= 93 degrees , b= 23.3 , a= 33.8
Answers
B=82°
c=28
1) A+B+C=180°
Replacing A=43° and B=82° in the equation above:
43°+82°+C=180°
125°+C=180°
Solving for C. Subtracting 125° both sides of the equation:
125°+C-125°=180°-125°
C=55° (option B or C)
2) Law of sines
a/sin A=b/sin B=c/sin C
Replacing A=43°, B=82°, C=55°, and c=28 in the equation above:
a/sin 43°=b/sin 82°=28/sin 55°
2.1) a/sin 43°=28/sin 55°
Solving for a. Multiplying both sides of the equation by sin 43°:
sin 43°(a/sin 43°)=sin 43°(28/sin 55°)
a=28 sin 43° / sin 55°
Using the calculator: sin 43°=0.681998360, sin 55°=0.819152044
a=28(0.681998360)/0.819152044
a=23.31185549
Rounded to one decimal place
a=23.3
2.2) b/sin 82°=28/sin 55°
Solving for a. Multiplying both sides of the equation by sin 82°:
sin 82°(b/sin 82°)=sin 82°(28/sin 55°)
b=28 sin 82° / sin 55°
Using the calculator: sin 82°=0.990268069, sin 55°=0.819152044
b=28(0.990268069)/0.819152044
b=33.84903466
Rounded to one decimal place
b=33.8
Answer: Option B) C=55°, b=33.8, a=23.3
Find the surface area of a triangular prism that has a height of 11 meters and the following triangular base. All dimensions are in meters.
Answers
Perimeter of the base = 4 + 4 + 4 = 12 m
Surface area = 7 + 7 + 12 x 11 = 146 m²
Answer: 146 m²
Answer:
146
Step-by-step explanation:
A box without a top is to be made from a 30 cm by 30 cm rectangular piece of cardboard by cutting out square corners with a side length of x and then folding up and taping the sides.
What is the maximum possible volume of the box?
What value of x maximizes the volume of the box?
Answers
V = x(30 -2x)²
A graphing calculator can show the local maximum of this function.
a) The maximum possible volume is 2000 cm³.
b) The value of x that maximizes the volume of the box is 5 cm.
i need help on number 3 please. i don’t think my answer is correct
Answers
Think of the three angles as A, B, C
A = 7x-5
B = 9x-16
C = 3x+11
Adding up A,B,C will lead us to 180 degrees
A+B+C = 180
7x-5+B+C = 180 ... replace A with 7x-5
7x-5+9x-16+C = 180 ... replace B with 9x-16
7x-5+9x-16+3x+11 = 180 ... replace C with 3x+11
Now we solve for x
7x-5+9x-16+3x+11 = 180
19x-10 = 180
19x-10+10 = 180+10 ... add 10 to both sides
19x = 190
19x/19 = 190/19 ... divide both sides by 19
x = 10
Answer: 10