Answers
Answer:
301.593Step-by-step explanation:
surface area = 2πrh + 2πr²
where r = 4 km radius
h = 8 km
plugin values into the formula
surface area = 2πrh + 2πr²
= 2π (4) 8 + 2π (4)²
= 201.062 + 100.531
= 301.593 km²
Related Questions
Determine the value of y, if x is –9.
y = |x|-7
Answers
y=|x|-7
If x=-9 then...
y=|-9|-7
First get the absolute value of -9
y=9-7
Subtract, and your answer is...
y=2
Bill runs around the perimeter of a circular track at 11 ft/sec. The track has a radius of 110 yd. After 24 seconds, Bill turns and runs to the center of the track along a straight (radial) line. Upon reaching the center, he turns and runs away along a different radial line to his starting position on the perimeter. Assume Lee does not slow down when he makes these two turns.
Required:
a. Sketch a picture of the situation.
b. How far has Lee traveled once he returns to his starting position?
c, How much time will elapse during Lee's circuit?
d. Find the area of the pie shaped sector esclosed by Lee's path.
Answers
Answer:
Step-by-step explanation:
We can see the sketch of the diagram in the image attached below.
Since 1 yard =3 feet
110 yards = 330 feet
Using: Distance = speed * time
If the speed of Lee is 11 ft/sec, he will travel the distance = 11 ft/sec * 24 sec = 264 ft in 24 sec.
The distance traveled = 264 ft
After traveling 264 ft, he takes a turn radially towards the center, then again takes a turn as he reaches the center.
b)
Total Distance traveled = A + B + C
A = C = 330 ( radius of the circle)
= 330 + 110 + 330
= 770 ft
c) Using the expression:
Speed = Distance/time
time = Distance/Speed
time = 770/11
time = 70 sec
d)
Area = 1/2 r²θ
Area = 1/2 r² (l/r)
Area = 1/2 × r × l
Area = 1/2 × 330 × 110
Area = 18150 ft²
(01.01 LC) Evaluate the expression 3(7 + 4)2 - 14+7
Answers
yo could anyone help me with this question chance to get brainliest and please and thank you
Gabriel opened a bank account. The balance is adjusted at a constant rate each week.
This equation y = 15x + 35 can be used to represent this situation, where y is the account balance in dollars and x is the number of weeks since he opened the account.
Which statement best describes the account balance, given this equation?
Gabriel opened the account with $35 and is depositing $15 per week into his bank account.
Gabriel opened the account with $15 and is depositing $35 per week into his bank account.
Gabriel opened the account with $35 and is deducting $15 per week from his bank account.
Gabriel opened the account with $15 and is deducting $35 per week from his bank account.
Answers
Answer: B: Gabriel opened the account with $15 and is depositing $35 per week into his bank account.
Simplify The Complex Fraction -3/5 ÷ 2 1/4
Answers
Answer:
Simplify the expression.
Exact Form:
-4/15
Decimal Form:
-0.2666666......
Step-by-step explanation:
7x-5=8(x+3) solve for x
Answers
Answer:
The value of x is -29.
Step-by-step explanation:
We are given an algebraic equation and have one goal: solve for x. We can use simplifying techniques as well as addition and subtraction to solve this equation.
[tex]\text{7x - 5 = 8(x + 3) \ \ \ Distribute the 8 throughout the parentheses.}\\\text{7x - 5 = 8x + 24 \ \ \ \ Subtract 7x from both sides.}\\\text{-5 = x + 24 \ \ \ \ \ \ \ \ \ \ Flip the equation.}\\\text{x + 24 = -5 \ \ \ \ \ \ \ \ \ \ Subtract 24 from both sides.}\\\small\boxed{\bold{{x = -29}}}[/tex]
Now that we have solved for x, we can plug in -29 to see if we get a true statement.
[tex]\text{7(-29) - 5 = 8(-29 + 3)}\\\text{-203 - 5 = -232 + 24}\\\text{-208 = -208} \ \checkmark[/tex]
Because we ended up with a true statement, we have determined that the value of x is -29.
Answer:
[tex]7x - 5 = 8(x + 3) \\ 7x - 5 = 8x + 24 \\ 8x - 7x = - 24 - 5 \\ \boxed{x = - 29}[/tex]
x = -29 is the right answer.7 more than twice as many fruit loops is 5 less than triple the fruit loops
Answers
Answer:
What's the question lol ?
Step-by-step explanation:
3/4 divided by (-5/8)
Answers
Answer:
-6/5
Step-by-step explanation:
6. When an asset increases in value, it is said to
appreciate
depreciate
be at market value
have valuized
Answers
Answer:
appreciate plzz mark as brainliest
A vacuum cleaner has a wholesale price of $50. and a markup rate is 50%. What is the markup and retail price of the vacuum?
Answers
Answer:
Retail price = $75
Step-by-step explanation:
1. State the given
The price of the vacuum cleaner's wholesale; $50.
The rate of mark up that the vacuum cleaner is sold at; 50%.
This means that the vacuum cleaner's sales price is 1.5 times the price of its wholesale.
2. Form am equation and solve
Use the equation:
wholesale_price * markup = retail_price
Now use the given information
50 * 1.5 = retail price
Solve
50 * 1.5 = 75
retail price = $75
Which of following is the graph of y = -(x + 1)2 -3?
Answers
Answer:
c
Step-by-step explanation:
Answer:
The Answer is C.
Step-by-step explanation:
Edge 2021
find the measures of -5x+32
Answers
Answer: What shape is this? A triangle?
Step-by-step explanation:
Assuming that this is a triangle with no 90 degree angles:
-5x + 32 = 180
-32 = -32
---------------------
-5x = 148
----- = -----
-5 = -5
x = -29.6
Assuming that this is a triangle with 90 degree angles:
-5x + 32 = 90
-32 = -32
----------------------
-5x = 58
----- = -----
-5 = -5
x = 11.6
For both of these you would get a decimal so you need to provide an image or more information to your question
alexis made 24 cookies with 8 teaspoons of sugar and 45 cookies with 15 teaspoons of sugar. what is the constant of proportionality?
Answers
Answer:
3:1
Step-by-step explanation:
divide the cookies by the number of spoons
24 cookies per 8 spoons = 3 cookies per 1 spoon
45 cookies per 15 spoons = 3 cookies per 1 spoon
all the above results both had a proportionality of 3 cookies to 1 spoon arriving to the result 3:1Molly wants to buy a dress that costs $20. She has a coupon for 40% off, and there is a 10% sales tax. How much will she pay altogether?
4. After tax is added to the sale price, how much does Molly pay for the dress?
Answers
Answer:
13.20
Step-by-step explanation:
20.00 - 40% + 10% = 13.20
. A robot’s height is 1 meter 20 centimeters. How tall is the robot in millimeters?
Answers
Answer:
1200 milimeters
Step-by-step explanation:
Simplify (2-3x4+5)^2
Answers
Please help I don’t understand
Answers
Answer:
The equivalent ratios are:
16:10
8:5
48:30
Step-by-step explanation:
It is given that the ratios are equivalent ratios. So all the ratios will simplify to the same ratio. We can use this to find the ratios.
given ratio is:
16:10
which simplifies to
8:5
We can observe that the second ratio will be same 8:5
Now,
[tex]\frac{8}{5} = \frac{x}{30}\\x = \frac{8}{5} * 30\\x = 48[/tex]
Hence,
The equivalent ratios are:
16:10
8:5
48:30
Can someone please help me? I give high points!
Answers
Answer:
lola has 12 dollars
Step-by-step explanation:
Answer:
The amount that Lola has is $12
Step-by-step explanation:
What does the speaker do well here? Check all that apply. asks questions prepares thoroughly includes information and opinions responds to questions speaks mostly about her opinions
Answers
Answer: B C D
Step-by-step explanation:
A plane has an airspeed of 107 km/h . It is flying on a bearing of 85 degrees while there is a 30 km/h wind out of the northeast (bearing 225degrees ). What are the ground speed and the bearing of the plane?
Answers
Answer:
GRAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAPPPPPEEEEEEE
Step-by-step explanation:
Find the other endpoint of the line segment with the given endpoint and midpoint.
Endpoint: (4,-9)
Midpoint: (10,8)
Answers
Answer:
Other Endpoint (x₂,y₂) = (16,25)
Step-by-step explanation:
We are given endpoint = (4,-9) and midpoint(10,8) we need to find the other endpoint of line segment.
Let other endpoint be (x₂,y₂)
The formula used to find other endpoint is using formula of midpoint
[tex]M(x_m,y_m)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
We have [tex]x_1=4 , y_1= -9 , x_m=10, y_m=8[/tex]
Using formula and finding (x₂,y₂)
[tex]M(x_m,y_m)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\(10,8)=(\frac{4+x_2}{2},\frac{-9+y_2}{2})\\10=\frac{4+x_2}{2} , 8=\frac{-9+y_2}{2}\\Finding\ x_2\\10*2=4+x_2 \\20=4+x_2\\x_2=20-4, \\x_2=16\\Finding \ y_2\\8*2=-9+y_2\\16=-9+y_2\\y_2=16+9\\y_2=25[/tex]
So, x₂=16 and y₂=25.
So, Other Endpoint (x₂,y₂) = (16,25)
Carolyn was asked to solve the following system of equations. Her work is shown. What is the solution to the system of linear equations?
Answers
Answer:
(11, 13)
Step-by-step explanation:
Carolyn's work is incorrect. Below is the correct solution:
Given:
[tex] 3x - 2y = 7 [/tex] ----› Equation 1
[tex] y = x + 2 [/tex] -----› Equation 2
Substitute y = (x + 2) in equation 1
[tex] 3x - 2y = 7 [/tex] ----› Equation 1
[tex] 3x - 2(x + 2) = 7 [/tex] (substitution)
[tex] 3x - 2(x) -2(+2) = 7 [/tex] (distributive property)
[Note: this is where Carolyn made a mistake]
[tex] 3x - 2x - 4 = 7 [/tex]
Collect like terms
[tex] x - 4 = 7 [/tex]
[tex] x = 7 + 4 [/tex] (addition property of equality).
[tex] x = 11 [/tex]
Substitute x = 11 in equation 2
[tex] y = x + 2 [/tex] -----› Equation 2
[tex] y = 11 + 2 [/tex] (substitution)
[tex] y = 13 [/tex]
✅The solution to the system of equations would be:
(11, 13)
8. The table below tracks how much money a taxi driver spent on gas each day:
Monday
Tuesday
Wednesday Thursday
Friday
Money spent
on gas
$57.81
$15.42
$12.50
$84.12
????
If the taxi driver spent an average of $44.15 on gas each day, how much did he spend on Friday?
Answers
Answer:
50.90$
Step-by-step explanation:
add Monday through Friday= 169.85
then multiply 44.15 by 5 = 220.75
subtract both 220.75 by 169.85 = 50.90
Answer:
Step-by-step explanation:
Why do plants hate math?
Answers
Answer:
be they just do hahahaha
A savings account increases from 150 $ to156 $. What is the percent increase of the savings account?
Answers
Answer:
4%
Step-by-step explanation:
to solve this you need to subtract 156-150=6
then take 6 divided by 150 which is 0.04
then take 0.04x100=4
Answer:
4%
Step-by-step explanation:
156 divided by 150 = 1.04, which equals 4%
4:■ =8 :14 fhjyghjhgj
Answers
Answer:
■ = 7
Explanation:
Because there two ratios are proportional as a result of being equal.
To find the missing part of the ratio, cross multiply, and solve for ■ by converting them into their equivilent fractions.
i.e a : b = a/b.
So 4 : ■ becomes 4/■. And 8 : 14 becomes 8/14.
i.e a/b = c/d → b × c = a × d → bc = ad
Now 4/■ = 8/14 → ■ × 8 = 14 × 4 → 8■ = 56.
8■/8 = 56/8
1■ = 7
■ = 7
This method works for a missing part pretty much anywhere.
____________________
This is a little faster for ratios:
To find the value of the unknown part of the ratio,
just find the factor between two corresponding numbers, and apply that to the known number corresponding to the unknown part.
4 : ■ = 8 : 14
Notice that 4 corresponds to 8
So the factor between these is 2.
Since from 8 to 4 is a multiple of 1/2. 8 × 1/2 = 4, and 14 × 1/2 = ■.
Therefore ■ = 14 × 1/2 = 14/2 = 7
Ax+by=c solve for y
Answers
y = (c -Ax)/b
Answer:
y = -Ax + C
Step-by-step explanation:
Ax + By = C
-ax -ax
By = -Ax + C
Answer:
y = -Ax + C
Please help I need this ASAP!
Answers
Answer:
nope
Step-by-step explanation:
Write any number and its additive inverse.
Answers
Answer: Additive Inverse of 17 = -17
The two addends in an addition equation are interchangeable, which means that the answer to "What is the additive inverse of -17?" or "What is the additive inverse of negative 17?" is 17. Since the additive inverse of 17 is -17, additive inverse is also known as the opposite number.
Step-by-step explanation:
is this what you meant??
PLEASE HELP ME!! 99 POINTS!!!!!!
Which of the following expressions have a value of 180 when b = 4?
Select all that apply.
A. 87b−179+957÷87
B. 33b12
C. b2+120
D. 51b−24
E. 11b+187−2,756÷13
Answers
Answer:
=> 51b - 24
=> 51(4) - 24
=> 204 - 24
=> 180
Answer:
A. 87b-179+957/87
D. 51b-24
Step-by-step explanation:
A. 87(4)-179+957/87
348-179+957/87
348-179+11
169+11
180
B. 33b12
33(4)12
553648128
C. b2+120
(4)2+120
8+120
128
D. 51b-24
51(4)-24
204-24
180
E. 11b+187-2756/13
11(4)+187-2756/13
44+187-2756/13
44+187-212
231-212
19