Given the values of the circumference and volume, the height of the tree trump to the nearest tenth is 36.0in.
What is a cylinder?A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )
Given the data in the question;
Circumference of the circular base C = 84inVolume of the cylinderical tree stump V = 20214in³First we determine the radius of the circular base.
Since circumference C = 2πr then r = C / 2π.
Hence, the volume of the cylinderical tree stump will be;
V = π × (C / 2π)² × h
V = π × ( C² / 4π² ) × h
V = hC² / 4π
4πV = hC²
h = 4πV / C²
We substitute our given values into the expression
h = ( 4 × 3.14 × 20214in³ ) / (84in)²
h = 253887.84in³ / 7056in²
h = 36.0in
Therefore, given the values of the circumference and volume, the height of the tree trump to the nearest tenth is 36.0in.
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Answer:
3
Step-by-step explanation:
VERIFED PEOPLE ARE WORNG!
If you were creating a PSA about building a green roof, which sources would be reliable for researching the topic? Check all that apply. a .gov or .org website on green roofs an article from a government organization on how green roofs improve air quality a blog about how green roofs are a fun activity for community gardeners newspaper articles reporting on how green roofs absorb heat in cities a .net or .com website that shows a company’s opinion on sprinklers to install on green roofs
Answer:
A.a .gov or .org website on green roofs
b.an article from a government organization on how green roofs improve air quality
d. newspaper articles reporting on how green roofs absorb heat in cities
Step-by-step explanation:
because i did it
Answer:
abd
Step-by-step explanation:
Solve :
x- 25=75
x +19=50
Step-by-step explanation:
x - 25 = 75
=> x = 75 + 25
=> x = 100
x + 19 = 50
=> x = 50 - 19
=> x = 31
What is the smallest number that i can add to 4310 to make it exactly divisble by 25
there are 8 classes in the cafeteria. the ratio of the kindergarten classes to other classes was 1:3. how many classes were NOT from kindergarten
(6TH GRADE)
Answer:
6
Step-by-step explanation:
1+3=4
8÷4=2
Kindergarten = 2×1 =2
Other class = 2×3=6
Ratio of kindergarten classes to other classes is 2:6
I need help asap, if u can help me with other questions after this I’ll give u 50+ points
Answer:
C. 31 [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
1. Convert mixed numbers into improper fractions:
[tex]\frac{29}{4}[/tex] · 2² + ( [tex]\frac{17}{2}[/tex] - 2) ÷ 3
2. Calculate within the parenthesis:
[tex]\frac{29}{4}[/tex] · 2² + [tex]\frac{13}{2}[/tex] ÷ 3
3. Calculate the exponent:
[tex]\frac{29}{4}[/tex] · 4 + [tex]\frac{13}{2}[/tex] ÷ 3
4. Multiply and divide (left to right):
29 + [tex]\frac{13}{2}[/tex] ÷ 3
29 + [tex]\frac{13}{6}[/tex]
5. Add:
[tex]\frac{187}{6}[/tex]
6. Convert the improper fraction to a mixed number:
= 31 [tex]\frac{1}{6}[/tex]
hope this helps!
I need help y’all thanks
Answer:
f(x) = 23.5
Step-by-step explanation:
The slope when in the 4th quadrant is at 4,100
Famous (and not so famous) Mathematicians Escape Room(Slide 3)
Can someone put the events in the correct order pls
(when they are in the correct order the letters in the corner form a CODE not a WORD so dont look for that)
I WILL GIVE BRAINLIEST
The chronological order of the events described is: Earliest record of the Chinese Lo Shu magic square, Hypatia becomes the head of the Platonist School, Aryabhata writes the famous aryabhatiya, The discovery of the Fibonacci Sequence, Florence Nightingale develops the polar area diagram, and First African American woman to visit space.
How to classify events chronologically?To classify events chronologically we must know the date on which they occurred.
The chronological organization can be from the oldest event to the most recent or vice versa. In this case the organization of the events will be done from the oldest to the most recent.
Earliest record of the Chinese Lo Shu magic square: 650 BC, served as the basis for city planning, tomb design, and temple design.Hypatia becomes the head of the Platonist School: 400 - Around the year 400 the philosopher had become the leader of the Neoplatonists. Therefore, she devoted herself to teaching, focusing on the works of Plato and Aristotle.Aryabhata writes the famous aryabhatiya: 499-Aryabhata mentions in the Aryabhatiya that 3630 years had passed in the age of Kali iuga, when he was 23 years old. This corresponds to the year 499.The discovery of the Fibonacci Sequence: 1202 - The historical development of this sequence begins in the year 200 and is attributed to Pingala. Years later it would be discovered by Leonardo Bigollo in 1202.Florence Nightingale develops the polar area diagram: 1854 - 1856 - Florence Nightingale was the inventor of the Polar Area Diagram, which in this case is used to represent the number of deaths in the British Army during the Crimean War.First African American woman to visit space: 1992-Mae Carol Jemison flew her only space mission from September 12-20, 1992, on STS-47. Jemison logged 190 hours, 30 minutes, 23 seconds in space and orbited the earth 127 times.Learn more about timeline in: https://brainly.com/question/8066374
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Given that tangent squared theta = three-eighths, what is the value of secant theta? Plus-or-minus StartRoot eight-thirds EndFraction Plus-or-minus StartRoot eleven-eighths EndFraction Eleven-eighths Eight-thirds
Using a trigonometric identity, considering the given value of the tangent of theta, the secant of the same angle is given by:
[tex]\sec{\theta} = \pm \sqrt{\frac{11}{8}}[/tex]
How is the tangent related to the secant?According to the following identity:
[tex]\sec^2{\theta} = 1 + \tan^2{\theta}[/tex]
In this problem, the tangent squared is given as follows:
[tex]\tan^2{\theta} = \frac{3}{8}[/tex]
Hence the secant is given by:
[tex]\sec^{2}{\theta} = 1 + \tan^2{\theta}[/tex]
[tex]\sec^{2}{\theta} = 1 + \frac{3}{8}[/tex]
[tex]\sec^{2}{\theta} = \frac{11}{8}[/tex]
[tex]\sec{\theta} = \pm \sqrt{\frac{11}{8}}[/tex]
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Answer:
Plus-or-minus StartRoot eleven-eighths EndFraction
Step-by-step explanation:
The answer above is correct.
PLEASE HELP ASAP!! ILL MAKE YOU THE BRAINIEST
TRAP~EZYD use the diagram on the right to find the scale factor of TRAP to EZYD
Answer:
scale factor = 1.2
Step-by-step explanation:
the scale factor is the ratio of corresponding sides image to original, that is
EZYD → TRAP
corresponding sides are the comparable sides on both , that is
EZ → TR
then
scale factor = [tex]\frac{EZ}{TR}[/tex] = [tex]\frac{12}{10}[/tex] = 1.2
Type the correct answer in the box. Use numerals instead of words.
Helen needs a replacement ball bearing for this part. The surface area of each spherical ball bearing is approximately 452.16 square milimeters.
What is the radius of the bearing that Helen needs to buy? Round your answer to a whole number
Using the surface area of the sphere, it is found that the radius of the bearing that Helen needs to buy is of 6 millimeters.
What is the surface area of a sphere?The surface area of a sphere of radius r is given by:
[tex]S_A = 4\pi r^2[/tex]
In this problem, we have that:
[tex]S_A = 452.16[/tex]
Hence:
[tex]4\pi r^2 = 452.16[/tex]
[tex]r = \sqrt{\frac{452.16}{4\pi}}[/tex]
r = 6.
The radius of the bearing that Helen needs to buy is of 6 millimeters.
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Answer: 6
Step-by-step explanation: NOT NEEDED
Please help!!!!!!
For the target below an archer randomly shoots an arrow which hits the target, what is the theoretical probability the arrow will hit the small square on the upper left? Assume all squares are the same size. Round to the nearest tenth of a percent.
A. 9.8%
B. 2.5%
C: 1.0%
The theoretical probability that the arrow will hit the small square on the upper left is approximately 9.8%. (Option A)
To determine the theoretical probability, we first need to calculate the areas involved. Let's start by finding the area of the entire circular target. The formula for the area of a circle is given by A = π * r², where 'r' is the radius. Plugging in the given radius (36 inches) into the formula:
A_circle = π * (36 inches)² ≈ 4069.73 square inches.
Next, we need to calculate the area of the small square in the upper left corner. Since the square is positioned at a corner of the circle, it forms a quarter of a circle. The area of this quarter circle can be calculated as follows:
A_quarter_circle = ¼ * A_circle. = ¼ * 4069.73 = 1017.43
Now, let's find the area of the square. The formula for the area of a square is A_square = side², where 'side' is the side length. Plugging in the given side length (5 inches) into the formula:
A_square = (5 inches)² = 25 square inches.
However, there are four identical squares inside the quarter circle, so the total area of all the squares combined is:
Total_Area_squares = 4 * A_square.
Now, to calculate the probability of hitting the small square in the upper left corner, we divide the area of that square by the area of the quarter circle:
Probability = (A_square / A_quarter_circle) * 100. = 25 / 1017.43 * 100 = 9.8%.
Hence the correct option is (a).
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HELP PLEASE!!!!
A ramp is being used to unload the back of a truck. The bottom of the ramp is 12 feet from the truck and the top of the ramp is lying on the back of the truck. If the back of the truck is 5 feet high, how long is the ramp?
14 ft
13 ft
7 ft
17 ft
Answer:
13 feet
Step-by-step explanation:
if we assume the angle on the ground to the truck is a ninety degree angle
In the circle below, BD = 112° and FE = 38° Find m/FCE 10 1000 4
Answer:
∠ FCE = 37°
Step-by-step explanation:
the secant- secant angle FCE is half the difference of the intercepted arcs, that is
∠ FCE = [tex]\frac{1}{2}[/tex] (BD - FE ) = [tex]\frac{1}{2}[/tex] (112 - 38)° = [tex]\frac{1}{2}[/tex] × 74° = 37°
5.
Suppose you choose a marble from a bag containing 2 red marbles, 5 white marbles, and 3 blue marbles. You return the first marble to the bag and then choose again. Find P(red then blue
Answer:
5/10
Step-by-step explanation:
PLS PLS PLS HELP I DONT HAVE MUCH TIME FOR THIS! I WILL MARK BRAINLIEST AND 22 POINTS!
Answer:
37
Step-by-step explanation:
Which of the following is a proportion?
4/6=6/9
4/3=6/8
5/6=10/18
2/5=4/25
Answer:
4/6 = 6/9
Step-by-step explanation:
Because 4/6 = 2/3 and 6/9 = 2/3
Answer:
4/6 = 6/9
Step-by-step explanation:
Find the Area of the figure below, composed of parallelogram and two semicircles.
Round to the nearest tenths place.
Answer:
622.13 square units
Step-by-step explanation:
Area of the composite figure = area of parallelogram + area of circle
Note: 2 semicircles = 1 full circle
Area of the figure = a*h + πr²
Where,
a = 22
h = 11
r = ½ of 20 = 10
Plug in the value into the equation
Area = 22*11 + π*11²
Area = 242 + π*121
Area = 622.13271108 ≈ 622.13 square units (nearest tenth)
Answer:
Step-by-step explanation:
556.2
can someone help me with this? Thank you!
Answer:
10.
Step-by-step explanation:
As the 2 Figures are similar the correspond sides are in the same ratio.
We see that BC = 5.0 and FG = 2.5, so each side in EFGH is 1/2 of its correspond side in ABCD.
Perimeter of EFGH , therefore, is
2.5 + 2 + 4 + 1.5
= 10.
Find the product
5/6 * 30
How do you convert [tex]x=-\frac{6}{7}x-\frac{6}{7}[/tex] into standard form? I know the answer but I can't figure out how to get it.
Answer:
[tex] \frac{13x}{7 } + \frac{6}{7} = 0[/tex]
How can you use a table to determine whether the relationship between two quantities is
proportional
Answer:
Step-by-step explanation:
How Do You Determine Whether Values in a Table are Proportional? To see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportional ratios.
What is the area of the square below?
2.4 in
2.4 in
O A. 8 in2
O B. 5.76 in
OC. 5.76 in2
D. 5.76 ft
Answer:
O C. 5.76 in2
Step-by-step explanation:
To find the area of a square, the formula is
length x width = area
length = 2.4
width = 2.4
2.4in x 2.4in = 5.76 in2
in2 is the part of the answer since in x in = in2
Find the center and radius of the circle represented by the equation below.
Answer:
Center= (-6,-8)
Radius= 6
Step-by-step explanation:
We use the formula (x-h)^2+(y-k)^2 then plug in our numbers:
[tex](x - h)^2 + (y - k)^2 = r^2\\(x+6)^2 +(y-k)^2=36[/tex]
In the equation -h is 6 so our h (x-coordinate) is -6
In the equation -k is 8 so our k (y-coordinate) is -8
In the equation r^2 is 36 so we take the square root of 36 to get r which is 6.
4m² +10=182 finding square root
Answer:
m = 6.557
Step-by-step explanation:
Subtract 10 from both sides:
4m^2 = 172
Divide both sides by 4:
m^2 = 43
take the square root of both sides:
[tex]\sqrt m^2 = \sqrt{43[/tex]
m = 6.557
Does that make sense?
Solve each system
9x - 8y = -4
-x - 4y=-24
find the missing angle
pls i need it asap, thanks
.90° + 45° + x = 180°
{Sum of angles of triangles = 180°}
135° + x = 180°
x = 45°
2.61° + 90° + x = 180
151 + x = 180
x = 29°
3.31° + 90° + x = 180°
122° + x = 180°
x = 58°
4.x + 15° +90° = 180°
x = 180° - 105°
x = 75
~Tulpe⚘
pleas help me for 90 points
Answer:
140 in²
Answer as a decimal rounded to the nearest hundredth = 140.00 in²
Step-by-step explanation:
Area of a triangle = 1/2 × base × height
Given:
base = 20 inheight = 14 inSubstituting the given values into the formula:
⇒ Area = 1/2 × 20 × 14
= 140 in²
Answer as a decimal rounded to the nearest hundredth = 140.00 in²
Answer:
140 square inches
Step-by-step explanation:
Formula to find the area of a triangle is A = 1/2 × b × h.
So plug in the numbers
A= 1/2 x 20 x 14
A= 20 x 14 / 2
A = 280/ 2
A(Area) is equal to 140 square inches
Assignment
What are the solutions of 3(x-4)(2x-3) = 0?
Answer:
Look at the photo and goodluck
Mitchel is part of the track team at his high school. He ran the first 4 kilometers of a race in 30 minutes. How many kilometers did Mitchel run in 1 hour if his speed stayed the same?
Answer:
8 kilometers in one hour
Step-by-step explanation:
4:30/4
30 [tex]divided[/tex] by 4
7.5
4 divided by 4
1
7.5 minutes to 1 kilometer
since there are 60 minutes in a hour
60/7.5 = 8
8 x 1 = 8
Provide the missing reasons in the proof.
Choices for the above proof:
Angle Addition Postulate
ASA Congruence Postulate
Given
Definition of right triangle
∆ is a right triangle
51° + 39° = ∠;
90° = ∠;
∠ is a right angle
Definition of right angle
Angle Congruence Postulate
The angle ∠DEF is equal to 90 degrees. Then the triangle ΔDEF will be a right-angle triangle.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function. The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The angle ∠DEG = 51° and angle ∠GEF = 39°.
Then prove that the triangle ΔDEF will be a right-angle triangle. Then we have
We know that if one angle of the triangle is 90 degrees then the triangle will be named a right-angle triangle.
The sum of the angle ∠DEG and ∠GEF will be
∠DEF = ∠DEG + ∠GEF
∠DEF = 51° + 39°
∠DEF = 90°
Then the triangle ΔDEF will be a right-angle triangle.
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