Answers
Answer:
[tex]351.8mi^2[/tex]
Step-by-step explanation:
Hey there!
Well the formula to find the surface area of a cylinder is,
[tex]2\pi rh+2\pi r^2[/tex],
So with the h and r being 10 and 4 lets plug it in.
[tex]2\pi (4)(10)+2\pi (4)^2[/tex]
Let's solve!
2π40 + 2π16
80π + 32π
251.3 + 100.5
= [tex]351.8mi^2[/tex]
Hope this helps :)
Answer:
351.9 mi^2
Step-by-step explanation:
The surface area of a cylinder can be found using the following formula.
[tex]SA=2\pi r^2+2\pi rh[/tex]
We know that the height of the cylinder is 10 miles and the radius is 4 miles.
h= 10 mi
r= 4 mi
[tex]SA=2\pi (4 mi)^2+2\pi (4 mi)(10 mi)[/tex]
First, evaluate the exponent 4 mi^2.
4 mi^2= 4 mi * 4 mi = 16 mi^2
[tex]SA=2\pi 16 mi^2+2\pi (4 mi)(10 mi)[/tex]
Next, multiply 16 and 2pi
[tex]SA=100.530965 mi^2+2\pi(4 mi)(10mi)[/tex]
Next, multiply 4 and 10
[tex]SA=100.530965 mi^2+2\pi40mi^2[/tex]
Multiply 40 and 2 pi
[tex]SA=100.530965 mi^2+251.327412mi^2[/tex]
Add the 2 numbers together
[tex]SA=351.858377 mi^2[/tex]
Round to the nearest tenth. The 5 in the hundredth place tells us to round the 8 to a 9 in the tenth place.
[tex]SA=351.9 mi^2[/tex]
The surface area of the cylinder is about 351.9 square miles.
Related Questions
Convert 18 ft to yards
Answers
Answer:
6 yds
Step-by-step explanation:
We know there are 3 ft in 1 yd
Divide by 3 ft
18 ft / 3 ft = 6 yds
Answer:
6 yards
Step-by-step explanation
1 yard= 3 feet
Convert the following numbers of calories or
kilocalories into joules or kilojoules.
a. 7845 cal
b. 4.55 x 104 cal
C. 62.142 kcal
d. 43,024 cal
Answers
Answer:
32.823 kJ190.4 kJ260.00 kJ180.012 kJStep-by-step explanation:
The conversion factor for food energy or thermochemical calorimetry* is ...
1 calorie = 4.184 J
1000 calorie = 4.184 kJ
__
a. 7845 cal = 7845·4.184 J = 32,823 J = 32.823 kJ
b. 4.55·10^4 cal = 4.55·10^4·4.184 J = 1.904·10^5 J = 190.4 kJ
c. 62.142 kcal = 62.142·4.184 kJ = 260.00 kJ
d. 43,024 cal = 43,024·4.184 J = 180,012 J = 180.012 kJ
_____
* The thermochemical calorie is defined in terms of the heat capacity of water. An international calorie of 4.1868 J is defined in terms of energy, without respect to the heat capacity of water.
1. The perimeter of a rectangle is 230 cm. If the length of the rectangle is 70 cm, find its breadth and area.
Answers
Answer:
Step-by-step explanation:
Feel pleasure to help u...
Answer:
Breadth: 45 cm.
Area: 3,150 cm^2.
Step-by-step explanation:
The perimeter is 230. Since the length of the rectangle is 70 cm, and 70 * 2 = 140, the sum of the two breadths will be 230 - 140 = 90. That means that the breadth is 90 / 2 = 45 cm.
If the breadth is 45, and the length is 70, then the area is 45 * 70 = 3,150 cm^2.
Hope this helps!
Help me ASAP for this question
Answers
Answer:
The third option is your answer
Step-by-step explanation:
Because the fee is equal 6% or 0.06 of the balance in order to find the fee you would have to times 0.06 and the balance .Therfore your equation is [tex]f=0.06b[/tex]
hope this helps, if it does please mark brainliest!!
If a△ b=a2+ab−b2, then find (3 △ 2) △ 13. WILL MARK BRAINLIEST PLS HELP!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
The answer is
18Step-by-step explanation:
a ∆ b = a² + ab + b²
(3 ∆ 2)
a = 3 b = 2
(3 ∆ 2) = 3² +3(2) + 2²
= 9 + 5 + 4
= 9 + 9
= 18
Hope this helps you
=====================================================
Work Shown:
First we compute 3 △ 2
a △ b = a^2 + ab - b^2
3 △ 2 = 3^2 + 3*2 - 2^2 ... replace 'a' with 3, replace b with 2
3 △ 2 = 9 + 6 - 4
3 △ 2 = 15 - 4
3 △ 2 = 11
Replace the ( 3 △ 2 ) in the original expression with 11.
We now want to find 11 △ 13
a △ b = a^2 + ab - b^2
11 △ 13 = 11^2 + 11*13 - 13^2
11 △ 13 = 121 + 143 - 169
11 △ 13 = 264 - 169
11 △ 13 = 95
A little shop sells Christmas toys. The wholesale price for each toy in a consignment of 50 toys was $5.5. Half of this quantity was sold before Christmas for the sales price of $15 per piece. two-fifth of the remaining toys have been sold in the next six days for half of the sales price. Finally, the rest of toys have been sold after the New Year for one-third of the sales price. What was the profit the shop made on selling these toys?
Answers
Answer:
[tex]Profit = \$250[/tex]
Step-by-step explanation:
Given
Number of Toys = 50
Unit Cost Price = $5.5
Unit Selling price = $15
Required
Determine the profit after sales
First, we need to determine the total cost price;
[tex]Cost\ Price = Number\ of\ toy *\ Unit\ cost\ price[/tex]
[tex]Cost\ Price = 50 * \$5.5[/tex]
[tex]Cost\ Price = \$275[/tex]
First, we need to determine the total sales;
____________________________________________________
Half of the toy was sold at $15;
[tex]Half\ of\ the\ toy = \frac{1}{2} * 50[/tex]
[tex]Half\ of\ the\ toy = 25[/tex]
[tex]Sales = \$15 * 25[/tex]
[tex]Sales = \$375[/tex]
____________________________________________________
Two-fifth of the remaining was sold at half of the sales price
From the above calculation;
[tex]Remaining\ Toy = 50 - 25[/tex]
[tex]Remaining\ Toy = 25[/tex]
Calculating Two-fifth of the remaining:
[tex]\frac{2}{5} * 25[/tex]
[tex]= \frac{50}{5}[/tex]
[tex]= 10[/tex]
Calculating half of the sales price:
[tex]\frac{1}{2} * \$15[/tex]
[tex]\$7.5[/tex]
This means that 10 toys were sold for $7.5
[tex]Sales = 10 * \$7.5[/tex]
[tex]Sales = \$75[/tex]
____________________________________________________
The remaining was sold at one-third of the sales price
From the above calculations (1 & 2);
[tex]Remaining\ Toy = 50 - 25 - 10[/tex]
[tex]Remaining\ Toy = 15[/tex]
Calculating one-third of the sales price:
[tex]\frac{1}{3} * \$15[/tex]
[tex]\$5[/tex]
This means that 15 toys were sold for $5
[tex]Sales = 15 * \$5[/tex]
[tex]Sales = \$75[/tex]
____________________________________________________
Now the total sales can be calculated;
[tex]Total\ Sales = \$375 + \$75 + \$75[/tex]
[tex]Total\ Sales = \$525[/tex]
[tex]Profit = Total\ Sales -\ Cost\ Price[/tex]
[tex]Profit = \$525 -\$275[/tex]
[tex]Profit = \$250[/tex]
Which expression is equal to ....
Answers
Answer:
the last one is equal to the question....
Step-by-step explanation:
Answer:
(5√11)/11 (option 1)
Step-by-step explanation:
If you multiply both the top and bottom by √11, you will get 5√11/11.
Next, make sure that the other answers are wrong.
5=√25, so
√11*5=√11*√25
So option 2 and 3 are incorrect.
#4 is obviously wrong, as you cannot simply switch the square root symbol between the denominator and numerator.
The owner of a minor league baseball team has found that when he charges an average of $13.00 per seat, the average attendance is 810 fans per game. He noticed that for every $2.00 increase in average ticket price, the attendance decreased by an average of 27 fans per game. Which equation shows the revenue, R, as a function of d, the number of $2.00 increases over $13.00? A. R(d) = -54d2 + 1,269d + 10,530 B. R(d) = -54d2 - 1,269d - 10,530 C. R(d) = 54d2 + 1,269d D. R(d) = 27d2 + 459d + 10,530
Answers
Answer:
The correct answer is A. R(d) = -54d2 + 1,269d + 10,530
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Price per seat when the average attendance is 810 fans = $ 13
For every $2.00 increase in average ticket price, the attendance decreased by an average of 27 fans per game.
2. Which equation shows the revenue, R, as a function of d, the number of $2.00 increases over $13.00?
R(d) = (13 + 2d) (810 - 27d)
R(d) = 10,530 + 1,620d - 54d² - 351d
R(d) = -54d² + 1,269d + 10,530
The correct answer is A. R(d) = -54d2 + 1,269d + 10,530
Algebra 1!!
x=2y and 2x+3y=21
-solve the given system of equations by substitution
answers-
a. x=6, y=-3
b. x=6, y=3
c. x=3, y=3
d. x=3, y=6
Answers
Answer:
[tex]\huge\boxed{b.\ x=6;\ y=3}[/tex]
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}x=2y&(1)\\2x+3y=21&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\2(2y)+3y=21\\4y+3y=21\qquad\text{combine like terms}\\7y=21\qquad\text{divide both sides by 7}\\\dfrac{7y}{7}=\dfrac{21}{7}\\\boxed{y=3}\\\\\text{Substitute it to (1):}\\x=2(3)\\\boxed{x=6}[/tex]
Answer: (6, 3)
Explanation: Our first equation tells us that x means the same thing as 2y so we can replace the x in the second equation with a 2y.
Our second equation then becomes 2(2y) + 3y = 21.
If we simplify on the left side we get
4y + 3y = 21 which simplifies to 7y = 21.
Solving from here, we find that y = 3.
To find x, plug 3 back in for y in the first equation
to get x = 2(3) which simplifies to x = 6.
So our answer is (6, 3).
what is the area of 1/4 of a circle with a radius of 10
Answers
Answer:
78.5
Step-by-step explanation:
It is 78.5 because you first get the area of the circle, which is 314. Then divide 314 by 4 to get 78.5
The area of 1/4 of a circle with a radius of 10 is 78.5 units²
Given,
1/4 of a circle.
Radius = 10
π = 3.14
We need to find the area of 1/4 of a circle.
What is the area of a circle?It is given as:
Area = πr²
Find the area of 1/4 of a circle.
We have,
Area of a circle = πr²
Radius = 10
1/4 area of a circle:
= 1/4 x πr²
= 1/4 x 3.14 x 10²
= 1/4 x 3.14 x 100
= 78.5 units²
Thus the area of 1/4 of a circle is 78.5 units²
Learn more about finding the circumference and area of a circle here:
https://brainly.com/question/14966973
#SPJ6
Which equation can be used to find AB?
Answers
Answer:
cos 42 = 10 / AB
Step-by-step explanation:
Since this is a right angle, we can use trig functions
cos theta = adjacent / hypotenuse
cos 42 = 10 / AB
A 5cm x 11cm rectangle sits inside a circle with radius of 12 cm. What is the area of the shaded region? Round your final answer to the nearest hundredth.
Answers
Answer:
Step-by-step explanation:
area of shaded region = 3168/7 - 55 = 397.5cm^2 (app)= 0.397cm^2 ( since we have to round to nearest hundredth
Answer:
The answer is
397.40 cm²Step-by-step explanation:
To find the area of the shaded area first find the area of both the rectangle and the circle and subtract the smaller one from the larger one.
that's
For the rectangle
Area of rectangle = length × width
From the question
length = 5cm
width = 11 cm
So we have
Area of rectangle = 5cm × 11cm = 55cm²
For the circle
Area of a circle = πr²
where r is the radius
From the question
r = 12 cm
Area of circle = π (12)²
= 144π
= 452.40 cm²
Area of shaded figure
Since the area of the rectangle is smaller than that of the circle we subtract the area of the rectangle from the circle
That's
452.40 cm² - 55cm²
= 397.40 cm² to the nearest hundredth
Hope this helps you
1. Flight 202's arrival time is normally distributed with a mean arrival time of 4:30
p.m. and a standard deviation of 15 minutes. Find the probability that a randomly
arrival time will be after 4:45 p.m.
2. Using the data from question #1, what is the probability that a randomly
selected flight will arrive between 4:15 pm and 2:00 pm? *
3. Using the data from question #1, what is the probability of a randomly selected
flight arriving AFTER 5:00 pm? *
someone pls help
Answers
Answer:
Step-by-step explanation:
1) Let the random time variable, X = 45min; mean, ∪ = 30min; standard deviation, α = 15min
By comparing P(0 ≤ Z ≤ 30)
P(Z ≤ X - ∪/α) = P(Z ≤ 45 - 30/15) = P( Z ≤ 1)
Using Table
P(0 ≤ Z ≤ 1) = 0.3413
P(Z > 1) = (0.5 - 0.3413) = 0.1537
∴ P(Z > 45) = 0.1537
2) By compering (0 ≤ Z ≤ 15) ( that is 4:15pm)
P(Z ≤ 15 - 30/15) = P(Z ≤ -1)
Using Table
P(-1 ≤ Z ≤ 0) = 0.3413
P(Z < 1) = (0.5 - 0.3413) = 0.1587
∴ P(Z < 15) = 0.1587
3) By comparing P(0 ≤ Z ≤ 60) (that is for 5:00pm)
P(Z ≤ 60 - 30/15) = P(Z ≤ 2)
Using Table
P(0 ≤ Z ≤ 1) = 0.4772
P(Z > 1) = (0.5 - 0.4772) = 0.0228
∴ P(Z > 60) = 0.0228
PLEASE HELP! WILL MARK BRAINLIEST!! 13 POINTS!
There are two points on the circle A and B. Each point has a light which is switched on. Bob starts at the point A and moves on the circle. Each time when he reaches to a point A or B he does the following: 1. If he is on A and the light on B is switched on then he changes the light on A (if it is switched off then he switches on, and vice-versa), 2. If he is on A and the light on B is switched off then he doesn't change the light on A. 3. If he is on B and the light on A is switched on then he changes the light on B (if it is switched off then he switches on, and vice-versa), 4. If he is on B and the light on A is switched off then he doesn't change the light on B. Bob starts from the point A (first step). What will be the position of lights after the 107th step.
(A) A and B are switched on
(B) A is switched on and B is switched off
(C) A is switched off and B is switched on
(D) A and B are switched off
Answers
Answer:
A will be switched off and B will be switched on.
Step-by-step explanation:
Because there are four different positions this can be in and there are 107 steps, we can divide 107 by four.
107 divided by four is 26 and the remainder is 3. That means the steps have gone around 26 times, and we are now on the third step before we complete the 27th cycle. The third step is C, where A is switched off and B is on.
Answer:
B
Step-by-step explanation:
Trust me :)
Please solve for x, and use statement reason. First correct answerer will be brainliest, + two thanks.
Answers
Answer:
x=26
Step-by-step explanation:
m<MNQ=m<P + m<Q by the EXTERIOR ANGLE THEOREM
132=3x+54 SUBSTITUTION
132-54=3x
78=3x
x=26 ALGEBRA
Create the smallest cone possible with the tool and record the values of the radius height and volume in terms of pi then scale the original cone by the given factors and record the resuling volumes
Answers
Answer:
PLATO sample answer
Step-by-step explanation:
.
Answer:
Step-by-step explanation:
Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right angle. The length of A D is 5 and the length of B D is 12. What is the length of Line segment B C, rounded to the nearest tenth?
Answers
The measure of the length of line segment BC will be 31.2 units.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
If the two triangles are similar, the ratio of the corresponding sides will be constant.
The triangle ΔABC and ΔBDA are the similar triangle. Then the ratio of their corresponding sides will be constant.
Let x be the length of BC.
x / 12 = 13 / 5
x = 31.2
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ5
Answer:
31.2 units
Step-by-step explanation:
Blue paper chains 4 inches long. Red paper chains are 3 inches long. How many are needed to have 10 inches of paper chains?
Answers
1 blue paper chain and 2 red paper chains
Answer:
1 blue paper chains and 2 red
Step-by-step explanation:
becuase 4 plus 3 plus 3 is 10
Krista was assigned a homework problem that stated there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents. To solve this problem, she wrote the system of equations that is shown below. 0.40 x + y = 45. x + 0.55 y = 18.75. Which explains the error that Krista made? Krista put 0.40 in the first equation meant for the number of stamps. Krista put 0.55 in the second equation meant for the value of stamps. Krista did not use the correct decimal to represent the total cost of the stamps. Krista mistakenly put 45 in the first equation when it should have been in the second equation.
Answers
Answer:
Option A.
Step-by-step explanation:
there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents.
Let x and y be the number of stamps of 40 cents and 55 cents respectively.
Total number of stamps is 45. So
[tex]x+y=45[/tex]
Total cost of stamps is $18.75. So
[tex]0.40x+0.55y=18.75[/tex]
But Krista wrote the system of equations as
[tex]0.40x+y=45[/tex]
[tex]x+0.55y=18.75[/tex]
Krista put 0.40 in the first equation meant for the number of stamps.
Krista did not write 0.40 in the second equation meant for the value of stamps.
Therefore, the correct option is A.
Answer:
The answer is A
Step-by-step explanation:
TOOK THE TEST!
A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ? A. -3x + 4y = 3 B. -1.5x − 3.5y = -31.5 C. 2x + y = 20 D. -2.25x + y = -9.75
Answers
Answer:
B. -1.5x − 3.5y = -31.5
Step-by-step explanation:
You want an equation of the line perpendicular to -7x +3y = -21.5 that goes through the point (7, 6).
When the equation of the reference line is given in this form, the equation of a perpendicular line can be found by swapping the x- and y-coefficients, and negating one of them. Swapping coefficients, we have ...
3x -7y = constant
Negating the x-coefficient gives ...
-3x -7y = constant
Filling in the given point values, we can find the constant:
-3(7) -7(6) = constant = -21 -42 = -63
None of the answer choices matches this, but one does match when we divide the numbers by 2:
-3x -7y = -63
-1.5x -3.5y = -31.5 . . . . . . matches choice B
Answer:
y = (-3/7)x + 9
Step-by-step explanation:
IF AB has the equation -7x + 3y = -21.5, then 3y = 7x - 21.5 is equivalent. Dividing both sides by 3 yields y = (7/3)x - 21.5/3. This reveals that the slope of AB is 7/3 and that the slope of any line perpendicular to AB, as central street PQ is, is the negative reciprocal of the slope of AB, or -3/7.
Thus PQ, being perpendicular to AB, has the slope -3/7. Starting with y = mx + b, and using the coordinates of P(7, 6), we get:
6 = (-3/7)(7) + b, or 9 = b, so that y = (-3/7)x + 9.
What solid is represented by this net? A. cylinder B. triangular pyramid C. rectangular prism D. triangular prism E. cone F. rectangular pyramid
Answers
Answer:
Triangular Prism
Step-by-step explanation:
Answer:
Triangular Prism
Step-by-step explanation:
Because I'm smart
can you help me ? with this problem ty
Answers
b) 9cm
c) x=3(Aly’s solution)
b)9cm
c)x=3
That’s how I got it hope this helps :)
Find the area of a rectangle whose length is 12cm and width 6cm A. 720cm² B. 702cm² C. 722cm² D. 72cm² I will mark you us brainliest
Answers
Area = length x width
Area = 12 x 6 = 72 cm^2
Answer is D
Answer:
The answer is option D.
72cm²Step-by-step explanation:
Area of a rectangle = length × width
From the question
length = 12 cm
width = 6 cm
Area = 12cm × 6cm
We have the final answer as
72cm²Hope this helps you
What is the surface area of the rectangular pyramid below? 13,13,13
Answers
Answer:
1,014
Step-by-step explanation:
Assuming those 13’s represent the Length and Width of the sides of the prism, the equation would be
13x13x6 (6 sides)
=1014
Answer:
507
Step-by-step explanation:
apeex
What does 3 3/5 * 2 5/7 equal
Answers
Hey there! I'm happy to help!
First, let's turn these into improper fractions. We keep the denominators and to find the new numerator you multiply the denominator by the whole number and add then numerator.
[tex]\frac{18}{5} *\frac{19}{7} =\frac{342}{35} =9\frac{27}{35}[/tex]
Therefore, the answer is 9 27/35. Now you can multiply mixed numbers!
Have a wonderful day!
Answer:
As a mixed number the answer to your question will be 9 27/35 or 6 3/7
The steps will be below.
Step-by-step explanation:
You first have to convert theses mixed numbers to fractions.
3 3/5 ,multiply the 5x3=15 and add the 3 which will be 18/5.
Since we converted 3 3/5 to a fraction now it’s 2 5/7 turn!
2 5/7 will be 19/7 because 7x2=14 and 14+5 will give us 19/7.
Finally since we have our two fractions (18/5) and (19/7), it’s time to find the answer!
Now if we multiply both of the factions we get the answer.
18/5 X 19/7
= 9 27/35 or 6 3/7
(For 6 3/7 we have to multiply the whole numbers and the fractions to get that answer)
Hope this helps!
How do I do this problem? I know basic trig but I can't figure out how i do this. Hopefully you can help soon, I need this quick.
Answers
Answer:
3
Step-by-step explanation:
because its equal to the other side that says 6
x + 3 = 6
x = 6 - 3
x = 3
hope this is correct
The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. Find the number and the equation.
HELP ME PLS!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
23
el número es 32 y si sumamos los dos dígitos suman 5
y si restamos 9 a 32 nos queda 23.
Solve:
3x - 9 = 5(x-3)
Answers
Hi,
[tex]3x - 9 = 5(x-3)\\3x - 9 - 5(x-3)= 0\\3x -9 -5x +15 =0\\6-2x=0\\6=2x\\x=3[/tex]
Have a good day.
A standard die (a six-sided cube with the numbers 1‚ 2‚ 3‚ 4‚ 5‚ and 6 on the sides) is rolled 150 times. Which of the following is the most likely number of times that a 1 or a 4 would appear? A 2 B 25 C 50 D 100
Answers
Answer:
50
Step-by-step explanation:
1÷6×150=25
1÷6×150=25
ans:25+25
=50
What is the area of the circle below? Use π = 3.14 to solve. Round your answer to the nearest hundredth. 160.36 feet² 184.96 feet² 190.56 feet² 200.96 feet²
Answers
Answer:
A =200.96 ft^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
The radius is 8
A = pi 8^2
A = 64 pi
Letting pi = 3.14
A = 64 ( 3.14)
A =200.96 ft^2
Answer:
[tex]\boxed{\mathrm{200.96 \: feet^2}}[/tex]
Step-by-step explanation:
Apply formula for the area of a circle.
[tex]area=\pi r^2[/tex]
The radius is 8 ft.
[tex]A=\pi (8)^2[/tex]
[tex]A=64\pi[/tex]
Take [tex]\pi[/tex] as 3.14
[tex]A=64(3.14)[/tex]
[tex]A=200.96[/tex]