Answer:
V = 702.984763 m³
Step-by-step explanation:
radius r = 6.9 m
height h = 4.7 m
volume V = 702.984763 m³
lateral surface area L = 203.7637 m²
top surface area T = 149.571226 m²
base surface area B = 149.571226 m²
total surface area A = 502.906152 m²
In Terms of Pi π
volume V = 223.767 π m³
lateral surface area L = 64.86 π m²
top surface area T = 47.61 π m²
base surface area B = 47.61 π m²
total surface area A = 160.08 π m²
Agenda:
r = radius = diameter/2
h = height
V = volume
L = lateral surface area
T = top surface area
B = base surface area
A = total surface area
π = pi = 3.1415926535898
√ = square root
Formula: Cylinder Formulas in terms of r and h:
Calculate volume of a cylinder:
V = πr²h
Calculate the lateral surface area of a cylinder (just the curved outside):
L = 2πrh
Calculate the top and bottom surface area of a cylinder (2 circles):
T = B = πr²
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr²) = 2πr(h+r)
For lunch, Jack ate 1/4 of a pizza, which was twice as much as John ate. If Timmy ate 1/6 of a pizza more than the amount that Jack and John ate combined, then what fraction of a pizza did Timmy eat?
Answer:
Timmy ate 13/24 of the pizza.
Step-by-step explanation:
To solve this problem, first you need to know how much pizza Jack and John ate. We know that Jack ate 1/4 of the pizza, and that John ate half of that, so we know that John ate 1/8 of the pizza. Together, Jack and John ate (1/4 + 1/8), which equals 3/8 of a pizza. Next, we need to find how much of the pizza Timmy ate. We know that he has eaten 1/6 more of the pizza than Jack and John combined, so that would be 1/6 more than 3/8. To add 1/6 to 3/8, we need to have a common denominator. The lowest common denominator would be 24, so you would have 4/24 + 9/24. That equals 13/24, so we know that Timmy ate 13/24 of the pizza.
match the expressions 21/25 60% 13/20 84% 2/5 75% 65% 3/4 3/5
Answer:
21/25 ---> 84%
13/20 ---> 65%
3/5 ---> 60%
3/4 --->75%
2/5 ---> 40%
What is the sum?4 1/2 + 5 1/2
Answer:
10
Step-by-step explanation:
plz mark as brainliest
Answer:
10
Step-by-step explanation:
If the points A(x,2), B(-3, -4) and C(7, -5) are collinear, then find the value of x
Answer:
x = -63
Step-by-step explanation:
If the points A(x,2), B(-3, -4), and C(7, -5) are collinear, the line that passes B and C, also passes A.
The line passes B and C has the form of y = ax + b
=> -4 = a(-3) + b
-5 = a(7) + b
=> Subtraction 1st equation from 2nd equation, we have:
-1 = 10a
=> a = -1/10
=> b = -4 + 3(-1/0) = -43/10
=> This line has form of y = (-1/10)x -43/10
This line passes A(x, 2)
=> 2 = (-1/10)x - 43/10
=> 2 + 43/10 = (-1/10)x
=> 63/10 = (-1/10)x
=> x = -63
Hope this helps!
Help. Summer school math please.
Answer:
y = 3x
where y is the plant height in cm and x is the time in months
at 12 months, height would be 36 cm
Step-by-step explanation:
Here, we want to model the data
let’s call the months x and the height y
What do you notice?
we can clearly see that the height is always 3 times the month
3 * 3 = 9
5 * 3 = 15
7 * 3 = 21
9 * 3 = 27
so we can say that;
Time in months * 3 = Plant height in cm
using the x and y notation;
x * 3 = y
or simply y = 3x
Now the height at 12 months can be calculated by substituting the value of x for 12
y = 3 * 12 = 36 cm
If point B is reflected across the y axis, what are the coordinates of the new point?
(-3,2)
(-2,-3)
(-2,3)
(3,-2)
Answer: (3,-2)
Step-by-step explanation: We're reflecting to the y-axis, thus, we're going to reflect to the right.
(-x,-y) ⇒ (x,-y)
Our current coordinate is (-3,-2)...let's convert it now...
(3,-2)
I hope this helps!
Answer:
(3, -2).
Step-by-step explanation:
When you reflect across the y axis the y coordinate stays the same and the x axis changes sign : (x, y) --> (-x, y).
So B (-3, -2) --> (3, -2).
Two number cubes are rolled .what is the probability that the sum of the numbers on the cubes is 12 ?? The Answer is fraction
A.12/36
B.1/36
C.1/12
D.35/36
Answer:
The answer would be B.(1/36)
Which operation means "split evenly"?
addition
subtraction
multiplication
division
Answer:
Division
Step-by-step explanation:
Answer:
division
Step-by-step explanation:
when you divide you split into even groups
16+12x-5x+4y-7 Simply the expression
Answer:
Combing like terms we get 7x + 4y + 9.
Can someone please help me. I need help on the 5 one
Answer:
The second option
Step-by-step explanation:
On the right hand side you have all the multiples of 4, on the left hand side you have 5
The multiples of four are ...,-8,-4,0,4,8,....
so the simbol that means that 5 is not an element of the multiples of four is the second option.
The orange and blue lines represent different linear functions. Write the color of the line that describes the scenario.
When Janelle woke up, it was –3 degrees Fahrenheit outside. As the morning progressed, the temperature rose 2 degrees every hour.
Answer:
Blue
Step-by-step explanation:
I just got this question correct
Answer:
Blue
Step-by-step explanation:
Using the following image, find the midpoint of the line by completing the problems below. The midpoint is what?
Answer:
1,1
Step-by-step explanation:
just a guess
The midpoint of the line segment AB is (1, 1).
We have,
To find the midpoint of a line segment with two given endpoints, we can use the midpoint formula.
The midpoint formula states that the coordinates of the midpoint (M) between two points (x₁, y₁) and (x₂, y₂) can be calculated as:
M = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
Using the given endpoints:
A = (0, 4)
B = (2, -2)
We can substitute these values into the midpoint formula:
M = ((0 + 2) / 2, (4 + (-2)) / 2)
M = (2/2, 2/2)
M = (1, 1)
Therefore,
The midpoint of the line segment AB is (1, 1).
Learn more about midpoints of line segments here:
https://brainly.com/question/13792156
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lola rode her bike for 7/10 of an hour on Saturday, and 3/5 of an hour on Sunday.
How much longer did she ride her bike on Saturday and Sunday?
Answer:
She rode 1/10 of an hour more on Saturday
Step-by-step explanation:
Take the time she rode on Sunday and subtract that from Saturday
7/10 - 3/5
Get a common denominator
7/10 - 3/5*2/2
7/10 - 6/10
1/10
She rode 1/10 of an hour more on Saturday
Misty correctly determined the equation of the linear function represented by the table of values below to be in slope-intercept form by using the ordered pairs (1, 7) and (2, 5). x y 1 7 2 5 3 3 4 1 What would she have gotten for the equation of the linear function if she had used the ordered pairs (2, 5) and (4, 1) instead?
Answer:
y=-2x+9
Step-by-step explanation:
Someone help me please! This needs to be done ASAP!
Answer:
0.15p+3=9
Lyda ordered 40 photos or p=40
Step-by-step explanation:
The formula for this is:
0.15p+3
Where p is the amount of pictures ordered.
0.15p+3=9
Subtract 3 from both sides
0.15p=6
Divide both sides by 0.15
p=40
Lyda ordered 40 photos
Classify the following triangle. Check all that apply.
Answer:
Right, Scalene (D and E)
Step-by-step explanation:
One side of the triangle contains a right angle, therefore it is a right triangle
the three sides are all different lengths from each other, making it scalene
Answer:
D. Right
E. Scalene
Step-by-step explanation:
Definitions
Acute: A triangle whose angle measure are all acute angles.
Equilateral: A triangle with all the same side lengths and angle measures.
Obtuse: A triangle with one obtuse angle and two acute angles.
Right: A triangle who has a right angle and two acute angles.
Scalene: A triangle whose sides are all different lengths
Isosceles: A triangle who has 2 sides the same length and the other different.
Our triangle fits the descriptions of the right triangle and scalene triangle.
[tex] {x}^{2} - 4x = 21[/tex]
what are the x intercepts?
Answer:
x² - 4x = 21
x² - 4x - 21 = 0
x² - 7x + 3x - 21 = 0
x( x - 7 ) + 3 ( x - 7 ) = 0
( x + 3 ) ( x - 7 ) = 0
x + 3 = 0 and x - 7 = 0
x = -3 and x = 7
AOC is a straight line an dab the ratio of t he angles is: AOB: BOC: =4:11 what is the size of the angle AOB?
[tex]answer \\48 \\ solution \\ let \: the \: ratios \: of \: angles \: be \: 4x \: and \: 11x \\ 4x + 11x = 180(sum \: of \: angle \: in \: straight \: line) \\ or \: 15x = 180 \\ or \: x = \frac{180}{5} \\ x = 12 \\ again \\ < aob = 4x \\ \: \: \: \: \: = 4 \times 12 \\ \: \: \: \: \: \: \: \: \: \: = 48 \\ hope \: it \: helps[/tex]
Answer:
[tex]48 \: \: degrees[/tex]
Answer B is correct
Step-by-step explanation:
We know that,
Angels in a straight line = 180°
Let's get the ratio of angles as,
[tex] 4x: 11x[/tex]
Let's solve for x now.
[tex]4x + 11 = 180 \\ 15 = 180 \\ \frac{15x}{15} = \frac{180}{15} \\ x = 12 \\ [/tex]
Angle AOB = 4x
[tex]x = 12 \\ 4x = 12 \times 4 \\ = 48[/tex]
hope this helps you.
brainliest appreciated
good luck! have a nice day!
Please help me
What is the sum of the series?
Enter your answer in the box.
Answer:
the sum of the series is 365 is my answer
URGENT!!!!! LAST TWO QUESTIONS!!!!!!! WILL GIVE BRANLIEST!!!AT LEAST TAKE A LOOK!!!!!! PLS HELP!!! 1. A cartographer wants to create a map of Seattle. He has designed a key/legend for the map indicating that 1 cm equals 2 miles. If the distance between Woodland Park Zoo and the Seattle Aquarium is 5.2 miles, how long is the distance going to be on the map? A) 2.6 cm B) 8.2 cm C) 6 cm D) 10.4 cm 5. What similarity property, if any, can be used to show that the following two triangles are similar. A) SAS B) SSS C) AA D) Not enough information given
Answer:
1. 5.2 / 2 = 2.6 cm
2. Since 2 angles are congruent the answer is AA.
According to the table, which statement is correct about the bank balances?
A) Samuel has less debt than Harley.
B) Harley has more debt than Benton.
C) Benton has more debt than Winston.
D) Winston has more debt than Benton.
Will mark brainiest!
Answer: The answer is D
Step-by-step explanation:
If you read all the answers only D is true
Answer:
Its C. Trust me
Step-by-step explanation:
I picked D. and it was wrong and told me it was C. DO NOT PICK D. IT IS C.
Two parallel lines are crossed by a transversal. Horizontal and parallel lines p and q are cut by transversal m. At the intersection of lines p and m, the bottom left angle is b degrees. At the intersection of lines q and m, the top right angle is 128 degrees. What is the value of b?
Answer:
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary . ... When two lines are cut by a transversal, the pairs of angles on either side of the transversal and outside the two lines are called the alternate exterior angles .
Step-by-step explanation:
hope this helps you :)
Answer:
The answer is 102
Step-by-step explanation:
Did it on edg hope this helps :)
In triangle ABC, Aat the top of the triangle, B at 90° and C at the third end, angle C = 21°, the hypotenus = 15m,find BC = y the unknown side
Answer
Step-by-step explanation:
Law of sines: SinB/15 = SinA/BC
B = 90
A = 180-90-21=69°
BC= (15*SinA)/SinB = (15*sin69)/1 ≈ 14m
PLEASE HELP WILL MARK BRAINLIEST
Answer:
Each pendant = 3.60
Step-by-step explanation:
3 necklaces made of beads and pendants
The total is 20.10
20.10 = 3( beads + pendant)
Distribute
20.10 = 3 beads + 3 pendant
The total for the beads is 9.30
Replace the 3 beads with 9.30
20.10 = 9.30+ 3 pendant
Subtract 9.30 from each side
20.10-9.30 = 9.30+ 3 pendant - 9.30
10.80 = 3 pendant
Divide each side by 3
10.80/3 = 3 pendant/3
3.60 = pendant
I need to know the answer for the picture
Answer:
a = 2
Step-by-step explanation:
We can use cross products to solve
8 a
----- = -------
28 7
8*7 = 28*a
Divide each side by 28
56/28 = 28a/28
2 =a
Answer:
2
Step-by-step explanation:
Given:
8 a
------- = ------ Find the value of a that makes this equation true.
28 7
Cross multiplying, we get 28a = 56, and so a works out to 2.
Check: Does 8/28 = 2/7? Yes.
2
Ali's mass is 46.2 kg
Raj's mass is 35.6 kg
What is their total mass?
Answer:
81.8 kg
Step-by-step explanation:
To find the total mass you have to add both of their mass
46.2 kg+35.6 kg= 81.8 kg
Their total mass is 81.8 kg #
The 102nd floor of the sears tower in Chicago is the highest occupied floor. It is 1,431 feet above the ground . How many yards above the ground is the 102nd floor
Answer:
477 yards
Step-by-step explanation:
1 foot to a yard is 0.333333.
1431 times 0.333333=477yards
Andrea's living room floor is a rectangle 12 feet by 15 feet. She wants to buy a rug that is geometrically similar to her living room floor. Which size of rug should she buy? *
Answer:
180 square feet
Step-by-step explanation:
A rug that is geometrically similar to her room floor is one that has the same size as her room floor.
The floor has dimensions 12 feet by 15 feet.
The area of the floor and hence, the rug is:
A = 12 * 15 = 180 square feet
She should buy a rug that is 180 square feet
solve the question 2 (3x plus 5) Square - 16 = 0 buy completing the square
Answer:
1/3(4√2/2- 5)
-1/3(4√2/2 + 5)
Step-by-step explanation:
2(3x+5)² -16=0
2(3x+5)²=16
(3x+5)² = 4²/2
3x+5= 4/√2 ⇒ 3x= 4/√2- 5 ⇒ x= 1/3(4√2/2- 5)
3x+5= -4√2 ⇒ x= -1/3(4√2/2 + 5)
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
1 A
2 A
Step-by-step explanation:
1. steps can be positive whole numbers only
2. there is 15 steps
