Find the lateral area of this cone.
Leave your answer in terms of pi.
3cm
4cm
Answers
The lateral area of the cone is 20π square centimeters.
Given that a cone with base radius of 4 cm and the height is 3 cm, we need to find the lateral area of the cone,
The lateral area of a cone can be calculated using the formula:
Lateral Area = π r l
where:
π is a mathematical constant approximately equal to 3.14159.
r is the radius of the base of the cone.
l is the slant height of the cone.
To find the slant height, we can use the Pythagorean theorem.
The slant height (l) is the hypotenuse of a right triangle formed by the height (h) and the radius (r) of the cone.
The formula is:
l = √(r² + h²)
Given that the base radius (r) is 4 cm and the height (h) is 3 cm, we can calculate the slant height (l):
l = √(4² + 3²)
= √(16 + 9)
= √(25)
= 5
Now we can substitute the values into the formula for the lateral area:
Lateral Area = π r l
= π × 4 × 5
= 20π
Therefore, the lateral area of the cone is 20π square centimeters.
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Related Questions
Select the correct answer.
What are the zeros of the quadratic function represented by this graph?
6
21
-X
.
2
2
4
6
-21
W
-61
+
Ο Α. .
1 and 3
OB. -3 and -1
Ос.
-3 and 1
OD.
-1 and 3
Answers
Find mZX
N
Х
(5t - 130°
Y
(3t+ 3)º
8°
O 27°
O 126
Answers
Answer:
26
Step-by-step explanation:
???
Please help! I need this to pass. If you are trying to get points please just chose a different question and don't mess with mine. I am in a state of trouble and I just need a helping hand.
Answers
Answer:
I guess its 3 mile.
Hope it works.
THANK U!!
Plot A shows the number of hours ten girls watched television over a one-week period. Plot B shows the number of hours
ten boys watched television over the same period of time.
Television Viewing Hours for a One-Week Period
Plot A
OOOOOO
Plot B
o
i
2 3
4
5 6
7
8 9 10
Which statement correctly compares the measures of center in the two sets of data?
Mark this and return
Save and Exit
Sun
Answers
Answer:
The answer is "Choice B".
Step-by-step explanation:
Please find the complete question in the attachment file.
In the given question, "Option b" is correct because both the mean and median value is greater for Plot B and for Plot A.
Ashley flies a drone 2,530 ft in 5 s. At this rate how many miles does the drone fly in a minute? 1 mi = 5280 ft
Answers
Answer:
I think the answer is 5.75 miles.
Step-by-step explanation:
If the drone flies 2,530 ft in 5 seconds, that means that in one minute it flies 30,360 ft. And 30,360 divided by 5,280 is 5.75.
There are 5.74 miles does the drone fly in a minute.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Ashley flies a drone 2,530 ft in 5 s.
Now,
Since, Ashley flies a drone 2,530 ft in 5 s.
We know that;
1 minute = 60 seconds
Hence, Number of miles in 1 minutes = 2530/5 × 60
= 30,360 ft
Since, We know that;
1 ft = 0.000189 miles
Hence, we get;
⇒ 30360 × 0.000189
⇒ 5.74 miles
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Which of the following functions translates the graph of the parent function f(x) = x2 horizontally left 8 units?
Ah(x) = x2 + 8
B. h(x) = (x – 8)
C. h(x) = x2 - 8
D. h(x) = (x + 8)2
Answers
Here is the process;
What is another way that you could write the ratio of pennies to quarters?
Answers
Answer:
1/100 to 25/100
or
0.01 to 0.25
Step-by-step explanation:
Pennies are also known as one per cent. Cent refers to 100 and pennies are called one per cent because they value 1 out of 100. 100 pennies equal one dollar.
Similarly, one quarter is 1/4 of a dollar and 1/4 equals 25/100 when multiplying the numerator and denominator by 25.
What is 437 rounded to the nearest whole number
Answers
Answer:
437
437 is a whole number itself, so it would be 437.
Hope that helps!
Step-by-step explanation:
Help me please!!!!!!!!!!!!
Answers
Answer: +9,+5
Step-by-step explanation:
What is the 22nd term of the arithmetic sequence 12 , 17 , 22 , 27 , .... , .... , ....
Answers
Answer: 117
Step-by-step explanation:
Formula for arithmetic sequence is:
= a + (n - 1)d
22nd term = a + (n - 1)d
= a + (22 - 1)d = a + 21d
where, a = 12
d = 17 - 12 = 5.
Therefore, 22nd term will be:
= a + 21d
= 12 + 21(5)
= 12 + 105
= 117
The 22nd term is 117
1. The vertical fence posts are 5 feet tall. The diagonal pieces are 9 feet. How far
apart should the fence posts be placed?
Answers
Answer:
Distance between fence and diagonal piece = 7.48 feet (Approx.)
Step-by-step explanation:
Given:
Vertical fence height = 5 feet
Length of diagonal piece = 9 feet
Find:
Distance between fence and diagonal piece
Computation:
Using trigonometry theorem;
Base = √Hypotenuse² - Perpendicular²
Distance between fence and diagonal piece = √Length of diagonal piece² - Vertical fence height²
Distance between fence and diagonal piece = √9² - 5²
Distance between fence and diagonal piece = √81 - 25
Distance between fence and diagonal piece = √56
Distance between fence and diagonal piece = 7.48 feet (Approx.)
Ciara drives an average of 43.6 miles per week
Work out an estimate for the number of miles Ciara drives in a year.
Answers
Answer:
About 2288 miles
Step-by-step explanation:
43.6 rounded is 44. There are 52 weeks in a year. Therefore, 44x52 equals about 2288
Divide. Round to the nearest tenth.
5.1)
104
Answers
Answer: 104
Step-by-step explanation:
Colton is going to invest in an account paying in interest rate of 6.3% compounded continuously how much wood coating need to invest to the nearest dollar for the value of the account to reach 22,700 in 16 years
Answers
Answer:
8284
Step-by-step explanation: I had the same question
So say someone did 1000 push ups a day for 8 years 2920 days in 8 years and you want to do the same amount but in 2 months how many would you have to do a day
Answers
Answer:
48,667 if you round it..
Step-by-step explanation:
1000x2920 = 2,920,000
divided by 2 months
2,920,000/2 = 1,460,000
and theres 30-31 days in a month
1,460,000/30 = 48,666.67
20 Points!!!!!!!!!!!!
Considering the degree of the function associated with the below graph is 6, state the zeros
and their multiplicity.
Answers
Explanation: The sum of the multiplicities must be .
n
.
Starting from the left, the first zero occurs at =−3.
x
=
−3.
The graph touches the x-axis, so the multiplicity of the zero must be even. The zero of −3
−3
has multiplicity 2.
2.
The next zero occurs at =−1.
x
=
−1.
The graph looks almost linear at this point. This is a single zero of multiplicity 1.
The last zero occurs at =4.
x
=
4.
The graph crosses the x-axis, so the multiplicity of the zero must be odd. We know that the multiplicity is likely 3 and that the sum of the multiplicities is likely 6.
Decrease 117kg in the ratio 10:13
Answers
Answer:
50.87 : 66.13.
Step-by-step explanation:
10/(10+13) * 117
= 10 * 117 / 23
= 50.87.
117 - 50.87 = 66.13.
When 117 kg is decreased in 10:13, then it is partitioned in two parts, first part being of 50.87 kg and second part being of 66.13 kg approximately.
What is ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b or [tex]\dfrac{a}{b}[/tex]
We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).
Suppose that we've got a = 6, and b= 4, then:
[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]
Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unit-less(no units) quantity.
Therefore, suppose the given 117 kg of amount is divided in two parts viz [tex]x \: \rm kg[/tex] and [tex]y \: \rm kg[/tex] having ratio as 10:13
Then, we get two equations as:
[tex]x + y = 117[/tex]
[tex]\dfrac{x}{y} = \dfrac{10}{13}[/tex]
From the second equation, we get x in terms of y as:
[tex]\dfrac{x}{y} = \dfrac{10}{13}\\\\\text{Multiplying y on both the sides}\\\\x = \dfrac{10y}{13}[/tex]
Putting this value of x in first equation, we get:
[tex]x + y = 117\\\\\dfrac{10y}{13} + y = 117\\\\\dfrac{10y + 13y}{13} = 117\\\\23y = 117 \times 13\\y = \dfrac{1521}{23} \approx 66.13[/tex] (in kg)
And therefore, from the expression for x, we get:
[tex]x = \dfrac{10y}{13} \approx \dfrac{10 \times 66.13}{13} \approx 50.87[/tex] (in kg)
Thus, when 117 kg is decreased in 10:13, then it is partitioned in two parts, first part being of 50.87 kg and second part being of 66.13 kg approximately.
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Can tell me if it's correct? If it's wrong, can you tell me the correct answer and how to solve it?
Answers
Answer:
C is a right triangle
Step-by-step explanation:
To determine if the triangle is right use Pythagoras' identity
A
9.4² = 88.36
6.4² + 7.1² = 91.37
88.36 ≠ 91.37 , thus not a right triangle
B
8.4² = 70.56
5.2² + 6.3² = 66.73
70.56 ≠ 66.73 , thus not a right triangle
C
9.7² = 94.09
6.5² + 7.2² = 94.09
Thus C is a right triangle
D
8.4² = 70.56
5.1² + 7.3² = 79.3
70.56 ≠ 79.3 , thus not a right triangle
Answer:
Answer C is the correct one
Step-by-step explanation:
Remember that the Pythagorean Theorem applies only to right triangles. In Answer A, the legs of the triangle shown are 6.4 and 7.1; we apply the Pythagorean Theorem and check whether the length of the hypotenuse is indeed 9.4:
6.4² + 7.1² = 40.96 + 50.41 = 91.37.
Is √91.37 equal to 9.4? Not quite! For now, reject Answer A.
Answer B: 5.2² + 6.3² yields 66.73. Is this equal to 8.4²? No, it is not.
Reject Answer B.
Answer C: 7.2² + 6.5² = 94.09. Is this equal to 9.7²? YES. So Answer C is the correct one.
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Answers
Answer:
Uh dude their are no questions??
Step-by-step explanation:
g/4 -5 = 1
i need help
Answers
Answer:
g=24
Step-by-step explanation:
g/4 -5 = 1
g/4 = 6
g = 24
Answer:
[tex]g=24[/tex]
Step-by-step explanation:
When given the following equation,
[tex]\frac{g}{4}-5 = 1[/tex]
Solve for the variable (g) using inverse operations,
[tex]\frac{g}{4}-5=1[/tex]
Add (5) to both sides
[tex]\frac{g}{4}=6[/tex]
Multiply both sides by (4)
[tex]g=24[/tex]
Find the volume of the
rectangular prism.
4 in
11 in
8 in
V = [?] in3
Enter
Answers
Answer:
352
Step-by-step explanation:
8×11×4
volume=L×W×H
Which are rational numbers check all that are true
Answers
Answer:
All of them except the second one and third one are true .
Answer:
1/3, 3, -1/3
Step-by-step explanation:
A rational number is a number that can be expressed with a fraction. In this case we have:
1/3 , 3 (all natural numbers are also rational: in fact for example 3 can be expressed with the fraction: 3/1) , -1/3
333/0 is not a rational number because the division is impossible
√3 is not rational because can’t be expressed with a fraction
write an equation of the line that passes through the given points.
(-1,3) and (3-5)
(slope intercept form)
Answers
Answer:
y=-2x+1
Step-by-step explanation:
to find the slope use the formula (y2-y1)/(x2-x1)
-5-3= -8
3-(-1) = 4
-8/4 = -2
1. Choose the appropriate symbol to make the following statment true. 0.586_0.568
a. =
b. >
c.<
d. none
Answers
Answer:
>
Step-by-step explanation:
Prove the identity and include the rule
Answers
Hi there!
To begin, we can distribute sec²x with (1 - sin²x):
= sec²x - sec²xsin²x
Which simplifies to:
= sec²x - tan²x
Recall the Pythagorean identity:
1 + tan²x = sec²x
Rearrange alike to the solved for expression above:
1 = sec²x - tan²x
Thus, using the Pythagorean Identity, sec²x(1 - sin²x) = 1.
What is 3 3/4 divided by 5/7?
Pls help me and thank you.
Answers
Answer:
21/4
Step-by-step explanation:
PLEASE I WILL GIVE BRAINLIEST
Answers
Answer:
easy....
Step-by-step explanation:
im in 5th grade.... may i plz still have brainlest???
What is 20% of 90???
Answers
Answer: 18
Step-by-step explanation:
First we want to turn 20% into a decimal so we can multiply it by 90.
So to do that we divide 20 by 100.
20/100=0.2 so 0.2 is the decimal form of 20%.
Then we multiply 90 by 0.2 to get 18 as our answer.
Answer:
Answer: 20% of 90 is 18.
Let's find 20% of 90.
Explanation
20% of 90 can be written as 20% × 90
= 20/100 × 90
= 18
Thus, 20% of 90 is 18.
Step-by-step explanation:
sorry if i get it wrong
I tried my best
You wash 12 cars on Friday and 10 cars on Saturday for our fund-raiser you were also given a $40 donation from somebody who didn't want a car wash if you raised a total of $370 how much money did you earn per car wash
Answers
Answer:
$15
Step-by-step explanation:
370-40=330
12+10=22
330÷22=15
15*22=330
I need help with these questions, please show the work too
Answers
Answer:
multiply across divide up and down
Step-by-step explanation:
cross division and cross multiplication