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)
Which two numbers both round to 1,500 when rounded to the nearest hundred?
Answer:
C
Step-by-step explanation:
Just take it lol
The two numbers where both round to 1,500 when rounded to the nearest hundred is option c. 1457 and 1547.
What is Rounded number?
The rounded number should be that where the number should be rounded to the nearest tenth, hundred or thousand
Since the number is 1500
So for hundred the number should be likely 1457 and 1547.
hence, the option c is correct.
learn more about number here: https://brainly.com/question/21474983
8.) A line passes through the points (k, 4) and (3, -6). The line is perpendicular to
the graph of 5y + 4x = 8. What is the value of k?
Answer:
K = 43
Step-by-step explanation:
We'll begin by determining the gradient of the equation 5y + 4x = 8. This can be obtained as follow:
5y + 4x = 8
Rearrange
5y = 8 – 4x
5y = –4x + 8
Comparing 5y = –4x + 8 with y = mx + c, the gradient m is –4
Next, we shall determine the gradient of the line perpendicular to the line with equation 5y = 8 – 4x.
This can be obtained as follow:
For perpendicular lines, their gradient is given by:
m1 × m2 = – 1
With the above formula, we can obtain the gradient of the line as follow:
m1 × m2 = – 1
m1 = –4
–4 × m2 = – 1
Divide both side by –4
m2 = –1/–4
m2 = 1/4
Finally, we shall determine the value of k as follow:
Coordinate => (k, 4) and (3, –6)
x1 coordinate = k
y1 coordinate = 4
x2 coordinate = 3
y2 coordinate = –6
Gradient (m) = 1/4
m = (y2 – y1) / (x2 – x1)
1/4 = (–6 – 4) / (3 – K)
1/4 = –10 /(3 – K)
Cross multiply
3 – K = 4 × –10
3 – K = –40
Collect like terms
– K = – 40 –3
–k = –43
Divide both side by – 1
K = –43/–1
k = 43
Write the equation the graph pictured below:
Answer:
It would be the first one (y-2=1/3(x-2))
Step-by-step explanation:
The first one is the same function as y=x(1/3)+(1+1/3) which is the same function as the photo.
what is the sum a 23 and 4 /4
Answer:
the anwser is 24 please mark brianliest
Answer:
The answer is 24.
write this as a decimal
Answer:
5.32
Step-by-step explanation:
The FIFO method of computing equivalent units excludes the beginning inventory costs in computing the cost per equivalent unit for the current period.
Answer:
Yes
Step-by-step explanation:
The FIFO method of process costing assumes that the opening work in process is the first group of units to be processed and completed during the current period. The opening work in progress is charged separately to completed production and the cost per unit is based only on the current period costs and the production for the current period. The closing work in process is assumed to come from the new units started during the period.
Please help me out. A square has an area of 90 square inches. Which two consecutive integers does a side length of the square fall between?
The side length of a square with an area of 90 square inches falls between the integers
A and
B .
Answer:
9 and 10
Step-by-step explanation:
Area of a square = s², where s = side length
Given that the square has an area of 90 in², the side length (s) of the square = √90.
Thus, 90 is not a perfect square and it's square root won't give us an integer.
Thus, √90 lies between two perfect squares namely, 81 and 100.
Therefore, the side length of the square would be:
√81 < √90 < √100
9 < √90 < 10.
The side length of the square lies between 9 and 10.
Answer:
9 and 10
Step-by-step explanation:
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
Working simultaneously, eight pumps fill in a pool in 32 hours. All pumps work at the same pace. If only half of the pumps are working, in how many hours will the pool be filled in?
Answer:
64 hours
Step-by-step explanation:
Since there are only half of the pumps that are working the time will double. 32x2 is 64
Answer: 16 hours
Step-by-step explanation
Step 1: Split 8 in half because we are using half the amount of pumps which is 4. Now we know the amount of pumps being used.
Step 2: Next we find the unit rate by dividing 32 and 8 to get 4
Step 3: Lastly we multiply 4x4 because 4 is the amount of pumps being used and the other 4 is the unit rate. Once we multiply we get 16 which is the answer: 16 hours
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
24 + 28 as a product of two factors using the GCF and distributive property
Answer:
52
Step-by-step explanation:
Using GCF:
The factors of 24 are; 1, 2, 3, 4, 6, 8, 12, 24
Factors of 28 are; 1, 2, 4, 7, 14, 28
The highest greatest common factor is 4.
Now, 4 × 6 gives 24
While 4 × 7 gives 28.
Thus, our original equation is now;
4(6 + 7)
Using distributive property, let's add the number in the bracket first to get;
4(13).
Now,we multiply out to get 52.
Answer:4(7+6)
Step-by-step explanation: i passed the quiz with an 100%
Adam’s weight to the nearest kilogram is 65 kg what is the greatest possible value of his weight
Answer:
65kg=143.30047 pounds and 1kg=2.20462262 pounds
A television with a 5:3 screen shows an image with a ratio of 5:4 which creates a letter boxed image. What percent of the screen’s area is occupied by the image?
a)
133%
b)
75%
c)
20%
d)
33%
e)
25%
Answer:
C
Step-by-step explanation:
w(t) = 3t – 1; t = 5
Gary studied for a total of 6 3/4 hours during the three days before her math test. If he study for the same amount of time each day how much time did he spent studying each day?
Answer:
Step-by-step explanation:
answer as a Fraction:9/4
answer as a Decimal: 2.25
answer as a mixed number: 2 1/4
Is 1.994 greater or lesser than 1.493
Answer:
greater than
Step-by-step explanation:
1.994 is closer to 2 than 1.493 so it is greater!
Identify the correct list of factors for the number 24.
1, 2, 4, 6, 12, 24
1, 2, 3, 4, 6, 8, 12, 24
1, 2, 4, 7, 12, 24
1, 2, 3, 8, 12, 24
Choose another name for plane s look at the picture for the full answer thank you for helping!
Answer:
c: plane ptm
Step-by-step explanation:
translation: 4 units left and 4 units up
J(−1, −2), A(−1, 0), N(3, −3)
Answer:
J(-5,2), A(-5,4), and N(-1,1)
Step-by-step explanation:
Consider a value to be significantly low if its z score less than or equal to -2 or consider a value to be significantly high if its z score is greater than or equal to 2.
A data set lists weights (grams) of a type of coin. Those weights have a mean of 5.37215 g and a standard deviation of .05421 g. Identify the weights that are significantly low or significantly high.
What weights are significantly low? (Round to five decimal places as needed. Use ascending order.)
What weights are significantly high?
(Round to five decimal places as needed. Use ascending order.)
Answer:
z₁ = 5,361308 this value, and values below this value, should be considered significantly low
z₂ = 5,48057 this value, and values above this value, should be considered significantly high
Step-by-step explanation:
z (score) = z₁ - μ₀ / σ
where μ₀ is mean and σ the standard deviation.
if z (score) is equal to -2 ( or less) then
-2 = (z₁ - 5,37215)/0,05421
( -2 )*0,05421 = z₁ - 5,37215
- 0,10842 = z₁ - 5,37215
z₁ = 5,37215 - 0,010842
z₁ = 5,361308
And if z = 2
2* 0,05421 = z₂ - 5,37215
0,10842 = z₂ - 5,37215
z₂ = 5,37215 + 0,10842
z₂ = 5,48057
A car breaks from a speed of 108km/h to 72km/h during a displacement of 100m, what is its aceleration ?
First, note that 100 m = 0.100 km.
Recall that
v² - u² = 2 a ∆x
where u and v are initial and final velocities; a is acceleration; and ∆x is displacement. Solve for a :
(72 km/h)² - (108 km/h)² = 2 a (0.100 km)
a = ((72 km/h)² - (108 km/h)²) / (0.200 km)
a = -32,400 km/h²
If you want to convert this to m/s², we have
(-32,400 km/h²) = (-32,400 km/h²) (1000 m/km) (1/3600 h/s)²
(-32,400 km/h²) = -2.50 m/s²
An advertisement in a magazine has a width of 80 mm and a height of 125 mm. Find
the units for the perimeter of the rectangle defined by this advertisement.
Answer:
perimeter calculator online
Step-by-step explanation:
Help please !!! ASAP
Answer:
Plz rate five star and thanks me k your answer is D
Step-by-step explanation:
Mr. Morales purchased 218 acres of land for his farm. If the total price of the land was $163,282, how much did each acre cost?
Answer:
$749 each
Step-by-step explanation:
SOMEONE PLEASE HELP ME !
Which is the slope of the line y=-32 + 2?
Answer:
the slope is 3
Step-by-step explanation:
Which number has a repeating decimal form?
A. sqrt\15
B. 11/25
C. 3/20
D. 2/6
Answer:
answer d 2/6
which is 1/3 =0.333333333
Answer:
2/6
Step-by-step explanation:
3 1/3 -2 2/5
Subtract
Answer:
[tex] 3\frac{1}{3} - 2 \frac{2}{5} \\ \frac{10}{3} - \frac{12}{5} \\ \frac{50 - 36}{15} \\ \frac{14}{15} [/tex]
At MLK Middle School, enrollment increased from 320 students in 2019 to 750 students in 2020 after the pandemic. What is the percent increase in enrollment?
Answer:
134.3%
Step-by-step explanation:
Working out a percentage increase or decrease between the two numbers is pretty simple. The resulting number (the second input) is 750 and what we need to do first is subtract the old number, 320, from it:
750 - 320 = 430
Once we've done that we need to divide the result, 430, by the original number, 320. We do this because we need to compare the difference between the new number and the original:
430/320 = 1.343
We now have our answer in decimal format. How do we get this into percentage format? Multiply 2.3 by 100? Ding ding ding! We have a winner:
1.343 x 100 = 134.3%
Which expression is equivalent to 27 + 15?
1) 3(24 + 12)
2) 319 + 5)
3) 9(3 + 15)
4) 9(18+ 6)
Katrina bought a pair of jeans for $39.29 and a sweater for $46.54. She received $14.17 in change. How much money did Katrina have originally?
Answer:
cool 100
Step-by-step explanation:
just add them all together since its saying that she got change back and it's saying what she paid.
