Answer:
384π
Step-by-step explanation:
From the diagram,
Diameter ( d ) = 16
Height ( h ) = 16
To find : Surface area of Cylinder = ?
Radius ( r ) = ?
Formula : -
r = d / 2
r = 16 / 2
r = 8
Formula : -
Surface area of Cylinder = 2πr ( r + h )
Surface area of Cylinder = 2πr ( r + h )
= 2π x 8 ( 8 + 16 )
= 16π x 24
Surface area of Cylinder = 384π
Pls help 100 points math question
Answer:
7
Step-by-step explanation:
because 7 goes into 35 and goes into 14 and goes into 28
Step-by-step explanation:
What is ratio for the geometric sequence?
U2 = 7
U1 = 35/2
r = U2 ÷ U1
r = 7 ÷ 35/2
r = 7 × 2/35
r = 1 × 2/5
ratio = 2/5 or 0,4
My friend has $280 to spend on a fence for her rectangular garden. She wants to use cedar fencing which costs $13/foot on one side, and cheaper metal fencing which costs $7/foot for the other three sides.
What are the dimensions of the garden with the largest area she can enclose?
length for cedar side = ___foot
width for other side = ___foot
What is the largest area that can be enclosed?
area = ____foot-squared
If necessary, round your answers accurate to two decimal places.
What are the dimensions of the garden with the largest area she can enclose?
The dimensions of the garden with the largest area she can enclose are length for cedar side = 7 foot and width for other side = 10 foot
Let L = length of the fence and W = width of the fence.
Also, let L be the length of cedar fencing.
Since we require one side of cedar fencing and the other 3 sides of cheaper metal fencing, and the cedar fencing costs $13/foot and the cheaper material costs $7/foot, the total cost of fencing is C = 13L + 7L + 2W × 7
= 13L + 7L + 14W
= 20L + 14W.
Since the total amount my friend wants to spend on fencing is $280, C = 280.
So, 20L + 14W = 280
10L + 7W = 140 (1)
Also, the area of the rectangular area is A = LW
From (1), L = (140 - 7W)/10
Substituting L into A, we have
A = LW
A = (140 - 7W)W/10
A = 14W - 0.7W²
To find the value of W that makes A maximum, we differentiate A with respect to W.
So, dA/dW = d(14W - 0.7W²)/dt
dA/dW = 14 - 1.4W
Equating it to zero, we have
14 - 1.4W = 0
14 = 1.4W
W = 14/1.4
W = 10 feet
To determine if this value maximizes A, we differentiate dA/dW with respect to W.
So, d²A/dW² = d(14 - 1.4W)/dW = -1.4
Since d²A/dW² = -1.4 < 0, W = 10 feet is a maximum point.
Since L = (140 - 7W)/10,
substituting W = 10 into the equation, we have
L = (140 - 7W)/10
L = (140 - 7 × 10)/10
L = (140 - 70)/10
L = 70/10
L = 7 feet
So, the dimensions of the garden with the largest area she can enclose are length for cedar side = 7 foot and width for other side = 10 foot
What is the largest area that can be enclosed?
The largest area that can be enclosed is area = 70 foot-squared
Since the area A = LW
Substituting the values of L and W into the e quation, we have
A = LW
A = 7 × 10
A = 70 ft²
So, the largest area that can be enclosed is area = 70 foot-squared
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can anyone heelp me plz
600+600+200-200 Giving Brainliest
Answer:
600+600+200-200=1200
For that middle part I’m soo confused help!
Two sides of a parallelogram are 6.7 feet and 5.6 feet. The measure of the angle
between these sides is 152°. Find the area of the parallelogram to the nearest 10th of
a square foot.
Step-by-step explanation:
Area parallelogram = a×b×sin (x)
a, b = 6.7 ft and 5.6 ft
x = 152 degrees
so, we have
6.7×5.6×sin(152) = 37.52×sin(152) = 17.61457304... ft²
the rounded area is 17.6 ft².
Candace is designing a rectangular tile that has a width of 3/5 meter and an area of 9/10 meter what is the length of the tile Candace is designing
The length of the tile Candace is designing is 3 /2 meters.
The rectangular tiles he is designing has the following dimension:
width = 3/5 meters
area = 9/10 meters
The length of the tiles Candace is designing can be calculated below:
area of a rectangle = lw
where
l = length
w = width
Therefore,
9/10 = 3/5 l
cross multiply
9 × 5 = 3 × 10l
45 = 30l
divide both sides by 30
45 / 30 = l
l = 9 / 6 = 3 / 2 meters
length = 3 / 2 meters
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What is the probability of choosing a red ace of clubs from a standard deck of cards????
Answer:
0
Step-by-step explanation:
The ace of clubs is black.
There is no red ace of clubs.
p(red ace of clubs) = 0
Answer:
Step-by-step explanation:
There is no Red ace of club. All the clubs are black in colour. So the probability is 0
Hey if any body can help
Answer:
The distance is 50
Step-by-step explanation:
Take the second number and subtract the first number
16 - -34
Subtracting a negative is like adding
16+34
50
Which expression is equivalent to (7h^2-7h+5)-(10h^2-3h+6)?
1. -3h²-4h-1
2. -3h²-10h+11
3. 17h²-4h-1
4. 17h²-10h+11
Answer:
[tex]-3h^{2} -4h-1[/tex]
Step-by-step explanation:
Remove the parentheses and rewrite the expression as
[tex]7h^{2} -7h+5-10h^{2}+3h-6[/tex]
Then we combine like terms
[tex](7h^{2} -10h^{2} )+(-7h+3h)+(5-6)[/tex]
Simplify
[tex]-3h^{2} -4h-1[/tex]
Kevin wants to make the best choice for his retirement plan. He can withdraw money weekly, monthly, or
quarterly. He needs to compare all three options and see if there is a difference in these three cases. He has
$250,000 saved for retirement in an account earning 3.5% interest. He plans to make regular withdrawals
for 25 years.
Compare these three options to see which one is more beneficial for Kevin. When you make comparison,
you should at least calculate
1. the amount he can withdraw each time period
2. the amount in total he can withdraw in 25 years
What observation can you make about the withdraw frequency when the interest rate stays the same?
from y² + 5 y - 7, subtract y² - 3 y - 4
Can someone please help me??
Answer:
10/9
Step-by-step explanation:
Common denominator is 9, 1*3/3*3 = 3/9, 3/9 + 7/9 = 10/9
A graduated cylinder has a mass of 50 g when empty. When 30 ml of water is added the graduated cylinder has a mas of 120 If a rock is added to the graduated cylinder, the water level rises to 75 ml, and the total mass is now 250g. What is the density of the rock?
Will mark as brainlist answer quickly
In five to ten sentences, explain how the feudal system worked.Please write it in your own words and don’t copy off of internet my teacher will know easy if it is copied.
Answer:
Feudalism is a system of land ownership and duties. It was used in the Middle Ages. With feudalism, all the land in a kingdom was the king's. However, the king would give some of the land to the lords or nobles who fought for him, called vassals. The term feudal system is often used in a much more general way in political rhetoric to indicate an outdated, exploitative system of government.
Step-by-step explanation:
Hope it helps
Answer:
The feudal system was introduced to England following the invasion and conquest of the country by William I, The Conqueror. Feudalism did not always work as well in real life as it did in theory, and it caused many problems for society. The feudal system is a type of social and political system in which landholders provide land to tenants in exchange for their loyalty and service. The feudal systen developed because people needed prorection from invaders since the Roman Empire had fallen. The feudal system started at the top with the kimg granting his lamd to a baron for soldiers all the way down to a peasant getting land to grow crops.
(Fun fact: Another word for Feudal stsyem is feudalism)
Evaluate the expression when x = 1/4 and y = 1/2
2 (1/16 + x2) + 5y
Answer:
2 3/4
Step-by-step explanation:
x = 1/4
y = 1/2
so we have to plug in these numbers wherever we see x and y
2 (1/16 + (1/4)^2) + 5(1/2)
using pemdas we solve what's in the parenthesis first
(1/16 + (1/4)^2) = (1/8)
next is multiplication so
2 (1/8) = 1/4 and 5(1/2) = 5/2
lastly we add so
1/4 + 5/2 = 11/4 or 2 3/4
HELP PLEASE !!!
Identify the pairs of supplementary angles in the figure
Answer:
1st option is correct exactly
..............
Please help it doesn’t make sense to me I will give brainliest
Answer:
y= -x +9
Step-by-step explanation:
The general equation of a line in slope intercept form is y=mx+b, where m is the slope and b is the y-intercept
For the given graph
Thake ANY 2 points on the line, for example (0,9) and (9,0) and calculate the slope
m= difference in y coordinates/ difference in x coordinates
=(9-0)/ (0-9) = 9/-9 = -1
b =9 because the given line is intersecting the y-axis at point (0,9)
The euation of the red line is y= -x +9
plz help need this done by tomorrow thank you [Photo]
Answer:
angle 5
Step-by-step explanation:
angle 5 is in the same position as angle 3.
Answer:
angle 5 corresponds angle 3.
Six is less than the product of a number n and 1/3 is no more than 95
[tex]n( \frac{1}{3} ) - 6 \leqslant 95[/tex]
Hope this helps:)
Please please help please help me please please help me out please please help please please help me please please help please please help me please
Answer:
with what
Step-by-step explanation:
Roger question here keep it simple and clear
Answer:
13
Step-by-step explanation:
Joakin lives 0.3 miles from Keith. Layla lives 0.4 times as far from Keith as Joakim. How far does Layla live from Keith. Write an expression to solve.
Answer:
0.12 Miles
Step-by-step explanation:
Given:
Joakin = 0.3 Miles from Keith
Layla lives 0.4 times as far as Joakim
Solution:
If Joakin lives 0.3 miles from keith and Layla lives 0.4 times as far from keith as Joakim that mean to multiply 0.3 by 0.4.
0.3 x 0.4 = 0.12
Hence, Layla live 0.12 Miles from Keith.
Grace's work is x miles from her house. She drives to work every day of a 5-day workweek. Grace also goes to the gym every day after work, which increases her daily drive by 8 miles. The following expression shows the number of miles Grace puts on her car during the workweek. Which of the following descriptions are equivalent ways to write this problem? Grace's work is x miles from her house. To get to work and back, she drives x miles. She does this 5 times during the workweek. She also goes to the gym to work out which increases her daily driving by 8 miles. She does this 5 times. Grace's work is x miles from her house. During the workweek, she drives the x miles between her house and work 7 times. She also goes to the gym to work out which increases her driving by 13 miles per workweek. Grace's work is x miles from her house. To get to work and back, she drives 2x miles. She does this 5 times during the workweek. She also goes to the gym to work out which increases her daily driving by 8 miles. She does this 5 times. Grace's work is x miles from her house. During the workweek, she drives the x miles between her house and work 10 times. She also works out which increases her driving by 40 miles per workweek.
Answer:
El dirves unos 60 Km durante todo el recorrido unas 5 vweces a las semana
Step-by-step explanation:
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80
Mrs. Steele read 75% of her 80 books. How many books has she finished reading?
Answer:
first you have to find 75% of 80 books
so you multiply
75/100 multiply 80/1
then you cancel
..........
the answer is 60 btw
will mark brainliest
Answer:
i think addition
..........
Step-by-step explanation:
.
Step-by-step explanation:
multiplication
n × term
means that there is n times the term. n is the number of the terms.
Amaryn bought 8 notebooks. each notebook is 12.78 Amaryn paid 5.99 for shipping
Answer:
108.23
Step-by-step explanation:
8*12.78=102.24+5.99= 108.23
Will mark brainly
and worth a lot of points but actually answer plz
Solve the system of equations and choose the correct answer from the list of options.
d + e = 1
−d + e = −5
Label the ordered pair as (d, e). (4 points)
Question 3 options:
1)
(0, 0)
2)
(3, −2)
3)
(−2, 3)
4)
(−3, 0)
Answer:
3) is the answer
d + e = 1 x 1
- d + e = -5 x 1
d. + e = 1
-
-d. + e = -5
2d= 6
d = 3
e= 1-3
= -2
8×100+4×10+7×110+3×1100
Answer:
4910 - i think
Step-by-step explanation:
Answer:
4,910
Step-by-step explanation:
A surveyor is standing 75 feet from the base of a building. The angle of elevation to the top of the building is 60°. Approximately how tall is the building? Round the answer tot he nearest tenth.
Using the principle of Pythagoras, the height of the building is approximately 129.9 feets.
Using SOHCAHTOA :
Tanθ = opposite / AdjacentTan(60) = height / 75
1.7320508 = height / 75
Height = 1.7320508 × 75
Height = 129.90 feets.
Hence, the height of the building is 129.9 feets.
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