Answer:
I haven't seen this question before, but the correct way to write it is 78+78+78=234
Question 8
A log with diameter 60 cm is 3 m in length its hollow centre is 20 cm in diameter.
Find the surface area of the log in cm', including the ends and the inside, correct to one decimal place.
Answer:
The surface area of the log including the ends and the inside is 80424.8 cm²
Step-by-step explanation:
To determine the surface area of the log with hollow center including the ends and the inside, we will find the surface area of the outer part of the log, surface area of the inner part of the log and the surface area of the two ends; and then sum everything up.
From the question,
Diameter of log = 60 cm
Length of log = 3 m = 300 cm
Diameter of hollow center = 20 cm
For the surface area of the outer part,
Area of the outer part = Circumference of the outer part × length
Circumference = 2πr = πd
∴ Area of the outer part = πd × l
(NOTE: d here is the diameter of the log)
d = 60 cm and l = 300 cm
Area of the outer part = 60π × 300 = 18000π cm²
For the surface area of the inner part,
Area of the inner part = Circumference of the inner part × length = πd × l
(NOTE: d here is the diameter of the hollow center)
d = 20 cm and l = 300 cm
Area of the inner part = 20π × 300 = 6000π cm²
For the surface area of one end
This is the difference between the area of the outer end and the area of the inner end
Here, we can determine the area by using
Area = πr², where r is the radius
Radius = Diameter / 2
Radius of outer end (R) = Diameter of log / 2 = 60cm / 2 = 30cm
Radius of inner end (r) = Diameter of hollow center / 2 = 20cm / 2 = 10 cm
∴ Surface area of one end = πR² - πr² = π(R²-r²)
= π (30²-10²)
= π (900 - 100)
= 800π cm²
This is the area of one end
For the two ends,
Area of the two ends = 2 × 800π cm² = 1600π cm²
Hence, the surface area of the log is 18000π cm² + 6000π cm² + 1600π cm²
Surface area of the log = 25600π cm²
Putting the value of π (π = 3.141592654)
Surface area of the log = 25600 × 3.141592654 cm²
Surface area of the log = 80424.77193 cm²
Surface area of the log = 80424.8 cm²
Hence, the surface area of the log including the ends and the inside is 80424.8 cm² (to one decimal place)
Anyone help? Please I’ve tried -35 but the graph is just to ten
Answer:
f(x) is always 5.
Step-by-step explanation:
The formula has a fixed value. Y is the f(x) in the function, and since there is no X, then Y is as said: 5. For example, when X is -7, the f(x), or Y, is still 5, and so on.
Miss Johnson walks at a rate of 2 miles
per hour.
x = hour
y = miles walked
what is the constant of proportionality and equation?
Answer:
The constant of proportionality is 2 it is y=2x
Step-by-step explanation:
Each time the number goes up it goes up by two i hope this helps have a nice day
How do I write Domain and Range in inequality notation?
Answer:
Step-by-step explanation:To combine two intervals using inequality notation or set-builder notation, we use the word “or.” As we saw in earlier examples, we use the union symbol, \displaystyle \cup∪, to combine two unconnected intervals. For example, the union of the sets \displaystyle \left\{2,3,5\right\}{2,3,5} and \displaystyle \left\{4,6\right\}{4,6} is the set \displaystyle \left\{2,3,4,5,6\right\}{2,3,4,5,6}. It is the set of all elements that belong to one or the other (or both) of the original two sets. For sets with a finite number of elements like these, the elements do not have to be listed in ascending order of numerical value. If the original two sets have some elements in common, those elements should be listed only once in the union set. For sets of real numbers on intervals, another example of a union is
Plz help i only need c im confused lol 6th grade history
Answer:
War
Step-by-step explanation:
Criminals
RS¯¯¯¯¯¯ bisects ∠QRT. If m∠QRT = 116°, what is m∠QRS?
A. 26°
B. 232°
C. 64°
D. 58°
Answer:
D. 58
Step-by-step explanation:
pretty easy clap
bisecting is midpoint which makes the two angles congruent
Use substitution to solve the following systems of equations:
-3x -4y = 2
5x + 5y = -5
O (4,3)
O (-3, 2)
O (3, 2)
O (-2, 1)
2. Solve in two ways
1/2 +1/4
Answer:
Step-by-step explanation: the first time you get 0.75 and the second time you get 0.125 hope this helped
Round 24.9652 to
1 decimal Place
Answer:
2.5 one decimal rounding off means to make it to one decimal place.the no is 24.9652 if you want to round of then you have to put decimal after 2 only then it will be one decimal place .this is because when we see a number after the point greater than 5 then we add 1 to the right side .now if we add 1 to the right side of 24.9652 by rounding off and making it to one decimal place then it will be 2.5.
SOMEONE PLEASE HELP QUICK
Write 45%of m as an expression
Answer:
nh
Step-by-step explanation:
(i need this ASAP)
Which of the following is an
arithmetic sequence?
A 1, 3, 6, 10, 15, …
B −8, −11, −14, −17, −20, …
C 48, 24, 12, 6, 3, …
D 1, 12, 123, 1234, 12345, …
Answer:
A
Step-by-step explanation:
is there a need for explanation
a pizzeria had 4 cans of tomato sauce how many pizzas could they make with the cans if each pizza took one fourth of a can
Answer:
16 pizzas.
Step-by-step explanation:
That is 4 divided by 1/4
= 4 * 4/1
= 16.
Answer:
16
Step-by-step explanation:
There are 4 pizzas per can and you have 4 cans.
4 x 4 = 16
7) Order the numbers from least to greatest.
A. 6.66
B. 6.07
C. 7
D. 6.32
the Answear is B,D,A,C
Find the measure of the missing angle
If a polygon is a pentagon, then it has 5 sides hypothesis conclusion
Answer:
Hypothesis
Step-by-step explanation:
a polygon has five sides Conclusion: it is a pentagon If a polygon has five sides, then it is a pentagon.
hope this helps
6. Doug has been evicted from his home. He sits on the street corner with a homemade
sign asking people to give him food. Doug is wearing only shorts and a t-shirt in the
snowy afternoon. Doug plays his harmonica in hopes of attracting some donors. One
kind soul brings him a cup of hot chocolate. A passerby yells at Doug to "Get a job!"
upsetting Doug so much that he spills the steaming hot chocolate on his leg.
Which Polygons are similar to A? PLEASE ANSWER QUICKLY
Answer:
B and C are similar to A but E is same as A.
A car wash detailed 132 cars in 4 hours. How many cars did they detail per hour?
Answer:
33 CarsStep-by-step explanation:
132 / 4 = 33
Therefore,
The answer is,
33 CarsWhich point represents the opposite of –2?
A number line going from negative 5 to positive 5. Point A is at negative 2, point B is between negative 1 and 0, point C is between 0 and 1, and point D is at 2.
A
B
C
D
Answer:
Point D
Point D is at 2, the absolute value of -2.
2 is the opposite of -2, and D is at 2.
So, the answer must be option D.
Hope this helps!
Answer:
d
Step-by-step explanation:
Peter bought an 18-ounce box of cereal for $4.50. What was the cost per ounce?
what are the steps we should follow to solve and equation
Convert 2 days into months. Round your answer to the nearest hundredth.
Answer:
0.0657534
Step-by-step explanation:
divide 2 by 30.417
Which of the following is equal to the opposite of −45?
−|45|
−|−45|
−(−45)
−45
Which of the following statements does not represent the same value as the others?
the absolute value of 9
the absolute value of negative 9
the opposite of 9
the distance between 0 and −9
All of the following are true statements except _____.
|−93| = −93
|−93| = 93
−|93| = −93
|93| = 93
If you move from zero to 15 on the number line, you are representing all of the following except _____.
the absolute value of 15
the distance between zero and 15
the opposite of −15
the opposite of 15
All of the following expressions are equal to N except _____.
−(− N )
− N
| N |
|− N |
Answer:
The first one
Step-by-step explanation:
write an equivalent fraction of 4/5 with the denominater 25
Answer:
20/25
Step-by-step explanation:
to get to a dinominator of 25, we have to multiply 5 by 5. so then we do 4 x 5 so now it is 20/25
Find the value of x.
(A) 16 (B) 41 (C) 5 (D) 25 (E) 66
Answer:
D. 25Step-by-step explanation:
D. 25 is the correct answer....Hopes it helps you....Hopes to get BRAINLIEST.. .Thank you ☺️☺️☺️
Please help me out! Help me please! This is so important!
The ratio of girls to boys in a primary school is 4:5. If there are 24 girls, how many boys are there? Help!
Answer:
there are 30 boys
Step-by-step explanation:
If there is 24 girls you divide that by 4 and you get six so that means you multiply with six and you get 30.
A ratio of 4:5 means that for every 4 girls, there are 5 boys.
24 girls / 4 girls = 6
5 * 6 = 30 boys
There are 30 boys if there are 24 girls
Please help will MARK BRANLIEST!!
As part of a landscaping project, put in a flower bed measuring 10 feet by 20 feet. Surround the bed with a uniform border of low-growing plants.
a. Write a polynomial that describes the area of the uniform border that surrounds the flower bed.
b. The low growing plants surrounding the flower bed require 1 square foot each when mature. If there are 216 of these plants, how wide a strip around the flower bed should be prepared for the border?
Answer:
took me time to try and answer your question hope it proves helpful
Use the limit definition to find an equation of a tangent line of f(x)= 1/(x-1) at the given point (2,1)
By "limit definition", I assume you mean the derivative. We have
[tex]f'(c) = \displaystyle\lim_{x\to c}\frac{f(x)-f(c)}{x-c}[/tex]
For [tex]f(x)=\frac1{x-1}[/tex] and c = 2, we have
[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{\frac1{x-1}-1}{x-2}[/tex]
[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{\frac{1-(x-1)}{x-1}}{x-2}[/tex]
[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{2-x}{(x-1)(x-2)}[/tex]
[tex]f'(2)=\displaystyle\lim_{x\to2}\frac1{1-x}=-1[/tex]
The tangent line to (2, 1) has slope -1. Using the point-slope formula, it has equation
y - 1 = - (x - 2)
y = - x + 3
Help please for brainliest