The right circular cone below has a slant height of 16.2 centimeters and a base circumference of 44 centimeters.
16.2 cm
What is the height of the cone (h) to the nearest tenth of a centimeter?
Enter your answer by clicking the bubbles.
Answers
The height of the cone (h) is approximately 12.8 centimeters to the nearest tenth of a centimeter.
To find the height of the cone (h) to the nearest tenth of a centimeter, we can follow these steps:
Calculate the radius (r) of the base:
The formula for the circumference of a circle is C = 2πr.
We are given the base circumference C = 44 cm.
Solving for r, we get: r = C / (2π) ≈ 7.07 cm (round to two decimal places).
Use the Pythagorean theorem to find the height (h):
The Pythagorean theorem states that a² + b² = c², where a and b are the legs of a right triangle and c is the hypotenuse.
In this case, the slant height (16.2 cm) is the hypotenuse, and the radius (7.07 cm) and the height (h) are the legs.
Therefore, we can write the equation: 16.2² = 7.07² + h².
Solve for the height (h):
Rearranging the equation to isolate h, we get: h² = 16.2² - 7.07² ≈ 163.97 cm².
Taking the square root of both sides, we get: h ≈ 12.8 cm.
Round the height to the nearest tenth of a centimeter:
Rounding 12.8 cm to the nearest tenth gives us: h ≈ 12.8 cm (to the nearest tenth).
Therefore, the height of the cone (h) is approximately 12.8 centimeters to the nearest tenth of a centimeter.
Final answer:
The height of the cone is calculated using the base radius, found from the given base circumference, and applying the Pythagorean theorem with the slant height as the hypotenuse. The height comes out to be approximately 14.6 cm.
Explanation:
To calculate the height of the cone (h) given its slant height and base circumference, we first need to find the base radius (r) using the formula for the circumference of a circle: C = 2πr. Given that the base circumference is 44 cm, solving for r we get:
r = C / (2π)
= 44 cm / (2 * 3.1416)
≈ 7 cm
Next, we use the Pythagorean theorem in the right-angled triangle formed by the radius, slant height, and the height of the cone. The slant height is the hypotenuse of the triangle, 16.2 cm in this case, and the opposite side to the angle at the cone's base is the height we need to find.
Using the formula h = √(slant height)^2 - (radius)^2, we substitute the values into the equation:
h = √(16.2 cm)^2 - (7 cm)^2
= √262.44 cm^2 - 49 cm^2
= √213.44 cm^2
≈ 14.6 cm
Therefore, the height of the cone, rounded to the nearest tenth, is 14.6 cm.
Related Questions
n+6 (10n+7)= simply expression
Answers
Answer:
The correct answer is 61n+42
10n^ + 7n + 60n + 42
Final answer... 10n^ + 67n + 42
Any two binomials (#x + #) multiplied with equal a trinomial (#x^ + #x + #).
Which inequalities are true? Check all that apply.
(pic attached)
Answers
Answer:
first, last and 4th one
Answer:
1st
3rd
5th
Step-by-step explanation:
30 POINTS
Victoria has $103 earned from babysitting saved at home, and the amount is modeled by the function h(x) = 103. She reads about a bank that has savings accounts that accrue
interest according to the function s(x) = (1.03)* - 1. After combining the two functions, the new function is g(x) = 103(1.03)* - 1. Using complete sentences, explain what the 103 represents in this new function. What is the interest rate the bank is giving to Victoria?
Answers
103 represents how much money Victoria is depositing into the bank, or her principal.
The interest rate is 1.03, or 3%.
what fraction is equivalent to 2 over negative 3
Answers
Answer:
-2/3 or negative two thirds. Other examples of -2/3 could be -4/6, -8/12, and -10/15.
Step-by-step explanation:
To get equivalent fractions, just multiply the numerator and denominator by the same number.
positive 2 over negative 3
negative 2 over positive 3
positive 2 over positive 3
negative 2 over negative 3
positive 4 over negative 6
negative 4 over positive 6
positive 4 over positive 6
negative 4 over negative 6
positive 6 over negative 9
negative 6 over positive 9
positive 6 over positive 9
negative 6 over negative 9
positive 8 over negative 12
negative 8 over positive 12
positive 8 over positive 12
negative 8 over negative 12
positive 10 over negative 15
negative 10 over positive 15
positive 10 over positive 15
negative 10 over negative 15
positive 12 over negative 18
negative 12 over positive 18
positive 12 over positive 18
negative 12 over negative 18
positive 14 over negative 21
negative 14 over positive 21
positive 14 over positive 21
negative 14 over negative 21
positive 16 over negative 24
negative 16 over positive 24
positive 16 over positive 24
negative 16 over negative 24
positive 18 over negative 27
negative 18 over positive 27
positive 18 over positive 27
negative 18 over negative 27
positive 20 over negative 30
negative 20 over positive 30
positive 20 over positive 30
negative 20 over negative 30
positive 22 over negative 33
negative 22 over positive 33
positive 22 over positive 33
negative 22 over negative 33
positive 24 over negative 36
negative 24 over positive 36
positive 24 over positive 36
negative 24 over negative 36
positive 26 over negative 39
negative 26 over positive 39
positive 26 over positive 39
negative 26 over negative 39
positive 28 over negative 42
negative 28 over positive 42
positive 28 over positive 42
negative 28 over negative 42
positive 30 over negative 45
negative 30 over positive 45
positive 30 over positive 45
negative 30 over negative 45
positive 32 over negative 48
negative 32 over positive 48
positive 32 over positive 48
negative 32 over negative 48
positive 34 over negative 51
negative 34 over positive 51
positive 34 over positive 51
negative 34 over negative 51
positive 36 over negative 54
negative 36 over positive 54
positive 36 over positive 54
negative 36 over negative 54
positive 38 over negative 57
negative 38 over positive 57
positive 38 over positive 57
negative 38 over negative 57
positive 40 over negative 60
negative 40 over positive 60
positive 40 over positive 60
negative 40 over negative 60
positive 42 over negative 63
negative 42 over positive 63
positive 42 over positive 63
negative 42 over negative 63
positive 44 over negative 66
negative 44 over positive 66
positive 44 over positive 66
negative 44 over negative 66
positive 46 over negative 69
negative 46 over positive 69
positive 46 over positive 69
negative 46 over negative 69
positive 48 over negative 72
negative 48 over positive 72
positive 48 over positive 72
negative 48 over negative 72
positive 50 over negative 75
negative 50 over positive 75
positive 50 over positive 75
negative 50 over negative 75
What is 5x^2-6x+2 multiplied by 4x^2-3x
Answers
Depends on what x is.
Order the numbers from least to greatest.
7.4 x 104
7.6 x 10-4
765,000
Answers
Answer:
dhccidifivivicickcvkvvkvk
What Values of X will make x2 (Exponent of 2) =16 true? HELPPPPPP!!
A)4 AND -4
B)2
C)4
D)6 AND -6
Answers
Answer:
A
Step-by-step explanation:
Given
x² = 16 ( take the square root of both sides )
[tex]\sqrt{x^2}[/tex] = ± [tex]\sqrt{16}[/tex] ← note plus or minus sign
x = ± 4
Since 4² = 4 × 4 = 16 and
(- 4)² = - 4 × - 4 = 16
URGENT Matina drove from her home to school at 40 mph and was 10 minutes late. The next day she drove at 60 mph and was 10 minutes early. How far is Matina’s school from her home.
Answers
answer-----
777x4
explanarion
berisycg awinsub egfsbcysdgbcwstgh 7qagoihbsbwesdfzy v
Someone pls help it’s due later
Answers
Answer:
5.)Z=7
Check:
6.) False
True
Step-by-step explanation:
5z-10=25
5z-10+10=25+10
5z=35
5z/5=35/5
z=7
Check:
5(7)-10=25
35-20=25
25=25
(Love your profile picture)
Answer:
5) 7
6a) no
6b) yes
Step-by-step explanation:
5)
add 10 to both sides then divide by 5 to isolate the Z
6a) the actual answer is 4F + 12
you don't add 4 you multiply
6b) That is the answer
You see which number is the greatest common factor (GCF)
Electricity City increases the price of televisions by 25%. If a television now sells for
$425, what was the original price?
Answers
Answer:
340
Step-by-step explanation:
As it was increased by 25%, $425 is 125% of the original price, so we can get back to 100% by dividing 425 by 5 [85], so 85 is 25% of the price. We can now get the original price by subtracting 85 from 425 (or you could multiply 85 by 4) which is 340
You can check this answer by multiplying 340 by 1.25
If the answer is 425, then it is correct, else, not. [it is]
Please Help...
A research group is trying to determine the correlation between the number of hours spent
studying and the number of hours sleeping. Use the data shown on the graph to compute
the correlation coefficient.
A) r = 1 C) r = − 1
B) r = 0.5 D) r = −0.5
Answers
Answer:
C) r = − 1Step-by-step explanation:
In the graph, you can observe that all five points are perfectly lined up on a straight line, which is decreasing, because each points is lower than the previous one.
This situation represents a coefficient of correlation of -1, which means there's a strong negative correlation between variable.
Once again, graphically, this strong negative correlation can be deduct from the behaviour of the data, which is clearly decreasing with a straight line behaviour. In other words, the line that best fits is almost unique.
Therefore, the right answer is C.
Answer: C
Step-by-step explanation: did usa test prep
3/4+4/5+5/6=?
WHAT IS THE ANSWER I NEED IT ASAP PLEASE!!
Answers
Answer:
143 /60
Step-by-step explanation:
Orlando is making a design for a logo. He begins with a square measuring 22 inches on a side.
The second square has a side length of 17.6 inches, and the third square has a side length of
14.08 inches. Which square will be the first square with a side length of less than 10 inches?
A) fifth square
B) fourth square
C) sixth square
D) seventh square
Answers
Answer: A
Step-by-step explanation:
The first square is 22 inches on a side.
The second is 17.6 inches on a side
the third is 14.08 inches on a side.
We can suppose that we have a constant rate of decrease betwen the sides cubes, this means that:
22in*x = 17.6in
where x is the rate of scale.
x = 17.6/22 = 0.8
Now we test this with the second and third:
17.6in*0.8 = 14.08in
Ok, this works.
then the side of n-th cube can be found with the equation
L = 22*0.8^(n-1)
we can try the different options and see which one gives a value smaller than 10.
A) n = 5
L = 22*0.8^4 = 9.01
Then the correct option is A
Answer:
the answer is A i had a quiz
Step-by-step explanation:
Guysss I need help ASAPPPP I need to get this done todayyy :(((
Answers
Answer:
see below
Step-by-step explanation:
t = 7m
Let m = 6
t = 7*6 = 42
Let m = 8
t = 7*8
t = 56
Answer:
For this, all you have to do is multiply each number on the left by 7.
T = 7m
M= 6 x 7
T = 42
M = 8 x 7
T = 56.
Complete the work shown to find a possible
solution of the equation.
(x - 5) +5=2
(x - 5)2 = -3
A possible solution of the equation is
Answers
Answer:
It's 14.
Step-by-step explanation:
Took it on edg 2020
which is a bigger number 12 or 12
Answers
Answer:
neither they are the same as each other...
Answer:
they're equal to each other.. unless your trolling...
Step-by-step explanation:
5 cups of grape juice to 2 cups of apple juice
Answers
??
5:2
Or
5/2
Which statement is true about the joint frequencies in
this table?
Twenty-three 9th graders and fifteen 11th graders
prefer math.
Fourteen 11th graders prefer math and eight 10th
graders prefer science.
Thirty-five 12th graders prefer math and nine 10th
graders prefer science.
Twenty-three 9th graders and thirty-two 12th
graders prefer math.
Answers
The statements Fourteen eleventh graders prefer math and eight tenth graders prefer English and Thirty-five twelfth graders prefer math and nine tenth graders prefer English are true.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
For the 12th graders, we have a total of 67 pupils with 32 preferring
English, therefore the number of the 12th graders that prefer math is 67 - 32 = 35 pupils
Similarly for the 11th graders we have total pupils = 29 with 15 preferring English, therefore the number of the 11th graders that prefer math is 29 - 15 = 14 pupils
Also for the 10th graders we have total pupils = 26 with 18 preferring math, therefore the number of the 11th graders that prefer English is 26 - 18 = 8 pupils
Finally for the 9th graders, we have a total of 63 pupils with 40 preferring English, therefore the number of the 9th graders that prefer math is 63 - 40 = 23 pupils
Hence, the statements Fourteen eleventh graders prefer math and eight tenth graders prefer English and Thirty-five twelfth graders prefer math and nine tenth graders prefer English are true.
To learn more on Statistics click:
https://brainly.com/question/29093686
#SPJ6
A survey was conducted with high school students in
each grade to see how many prefer math or science.
Some of the data are shown below.
Which statement is true about the joint frequencies in
this table?
40
11 | 12 |
Total
O Twenty-three 9th graders and fifteen 11th graders
prefer math.
O Fourteen 11th graders prefer math and eight 10th
graders prefer science.
O Thirty-five 12th graders prefer math and nine 10th
graders prefer science.
Twenty-three 9th graders and thirty-two 12th
graders prefer math.
Math
18
90
Science 40
15
95
Total
63
26
29
67
185
Work out the gradient of a line that is parallel to -2x+y-5=0
Answers
Answer:
gradient = 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the gradient and c the y- intercept )
Given
- 2x + y - 5 = 0 ( add 2x and 5 to both sides )
y = 2x + 5 ← in slope- intercept form
with gradient m = 2
Parallel lines have equal gradients
Gradient of parallel line is m = 2
which expression is equivalent to -1/4x+1/2?
(A) 1/4(-x+1/2)
(B) -1/4(-x+1/2)
(C) -1/4(x+2)
(C) 1/4(-x+2)
Will mark brainliest to first person.
Answers
Do you mean D for the last choice?
The answer is D, if that is what you meant.
The 1/4 must be positive since the 1/2 is positive in the equation and the second numbers are all positive in the choices.
Also, 1/4 of 2 is 1/2, so D has to be the answer.
I hope this helps.
heyy does anybody know the answer please i need this to graduate
Answers
Answer:
i think it is de 1st one
Step-by-step explanation:
Whats the lowest value of the range of the function shown on the graph?
Answers
Answer:
-2
Step-by-step explanation:
Answer:
Step-by-step explanation:
c
An item has a listed price of $35.If the sale tax rate is 5%, how much is the sales tax (in dollars)
Answers
The tax is 5% of 35 so we have to find out what 5% of 35 is. To do so, divide 5 by 100, then multiply the quotient by 35.
5% ⇒ 0.05
35 × 0.05 = 1.75
Answer:The sales tax is $1.75.
I hope this helps :)
A wire that is 48 centimeters long is shown below.
The wire is cut into two pieces, and each piece is bent and formed into the shape of a square.
Answers
Answer:
The sides of the square measure 6 cm
Step-by-step explanation:
If we cut the wire in half, we have to:
48/2 = 24
We would have two 24 cm wires
With each wire a square will be formed, therefore the question I suppose must be how much each side of the square measures.
We know that the square has 4 equal sides, therefore:
4/24 = 6
The sides of the square measure 6 cm
The sides of the square measure 6 cm.
Calculation of the sides of squares:Since A wire that is 48 centimeters long
In the case when we cut the wire in half so it should be 50% of 48 i.e. 24
Also, the square does have 4 equal sides
So, the sides of the square should be
[tex]= 24\div 4[/tex]
= 6 cm
hence, The sides of the square measure 6 cm.
Learn more about square here: https://brainly.com/question/21910178
Cylinder A has radius r and height h as shown in the diagram. Cylinder B has radius 4r and height 4h. How many times greater is the surface area of Cylinder B than the surface area of Cylinder A?
Pls help WILL GIVE BRAINLIEST
Answers
Answer:
16 times
Step-by-step explanation:
Since the sides are in the same ratio, i.e
1 : 4
The cylinders are similar
(Ratio of sides)² = Ratio of areas
4² = 16
Step-by-step explanation:
Step 1: Make a ratio of the sides
Side of Cylinder A : Side of Cylinder B
1 : 4
Step 2: Find the ratio of the area
[tex]1 : 4[/tex] ← Ratio of Side
[tex](1)^2 : (4)^2[/tex] ← Ratio of Area
[tex]1 : 16[/tex] ← Ratio of Area
Answer: The area of Cylinder B is 16 times greater than Cylinder A
will give brainliest.
Find the value of c that makes the expression a perfect square trinomial.
Answers
You need to give us the equation first, otherwise we can't do it
:|
Ryan invests a sum of money in a savings account with a fixed annual interest rate of 4.31% compounded 12 times per year. After 10 years, the balance reaches $12,855.94. What was the amount of the initial investment?
Answers
8361 = P Hope this helps!
Based on the information given the amount of the initial investment is $8,361.
Let P represent the amount of the initial investment
Hence,
12855.94 = P(1 + .0431/12) ^12(10)
12,855.94=P(1+0.0035917)^120
12,855.94=P(1.0035917)^120
12,855.94=P(1.53760782)
P=12,855.94/1.53760782
P=$8,360.8
P=$8,361 (Approximately)
Inconclusion the amount of the initial investment is $8,361.
Learn more here:https://brainly.com/question/14150718
A circular pool has a radius of 10 feet. What is the areaof the surface of the water in the pool? Use 3.14 for π.
Answers
Answer:
314ft²
Step-by-step explanation:
A = πr²
A= π10²
A=100π
A=100*3.14
A=314
Hope this helps :)
Final answer:
To calculate the area of the circular pool's surface, use the formula A = πr² with π approximated as 3.14 and the given radius of 10 feet. The area is 314 square feet, as the calculation yields A = 3.14 × 100, which does not need adjustment for significant figures.
Explanation:
To find the area of the surface of the water in the circular pool with a radius of 10 feet, we use the formula for the area of a circle, which is A = πr². Let's use the given value for pi (π) as 3.14 and the radius (r) is 10 feet. So the calculation is A = 3.14 × (10 feet)².
Now, squaring the radius, we get (10 feet)² = 100 feet². Next, we multiply this by our value for pi, resulting in A = 3.14 × 100 feet² = 314 feet². Therefore, the area of the surface of the water in the pool is 314 square feet.
Recalling significant figures, since our given radius was precise to two significant figures, our final answer should also reflect two significant figures. However, since all the numbers in 314 are significant, there is no need for adjustments in this case, and the result remains 314 square feet.
A sign is in the shape of a triangle. It has a base of 12 inches and an area of 120 square inches. What is the height of the sign?
Answers
Answer:
The height is 20
Step-by-step explanation:
This is because 120= .5x12
which equals 120= 6. Of course this is not equal so we do 120/6= 20.
Now if we insert 20 to check .5x12x20= 20 which makes the statement true
Answer: 20
Step-by-step explanation: 120 divided by 3 = 40 half of 40 is 20
after taking math online . what would you say are some pross (good) and cons (bad) about taking classes . online? what would make it better?
Answers
Answer:
Cons: Could be harder, Difficult to solve, hard to see problems online, Things to help: Post assignments in portions Pros: hand wont hurt if writing, Wont loose paper if it’s on paper
Step-by-step explanation:
After taking online classes, there are some pros and cons. The positive side of taking online classes are that you learn at a much faster rate, you have more choices and flexibilty with your education, and you're able to do it wherever you want with the comfort of your home. The negative side of taking online classes are that it's very expensive to take online classes, there's a higher chance of the student cheating instead of learning the lesson, and the lack of self-motivation, the increase in work can be stressful!
(This is in my own words, so I hope this helps!)