Find the total lateral area of the following
cone. Leave your answer in terms of a.
4 cm
3 cm
LA = ? cm2
Answers
Answer:
15π cm²
Step-by-step explanation:
The total lateral area of a cone
= πr√h² + r²
= √h² + r² = l
h = Height = 4cm
r = radius = 3cm
Hence:
= π × 3 √4² + 3²
= 3π × √16 + 9
= 3π × √25
= 3π × 5
= 15π cm²
Related Questions
To find the area, multiply the area of the entire circle by __?
What number goes in the box.
Answers
Answer:
3.142 × 6 = 18.852, thats : 19cm, then multiply 19 by 6 , so 19 would go in the square.
because area of a circle is p × r sq. u multiply one of the 6 by 3.142, you get 19, then multiply that 19 by the other 6. the answer is approximately 113.112.
Nicole wants to rent a boat and spend less than $33. The boat costs $6 per hour , and Nicole has a discount coupon for $9 off. What is the answer in inequality
Answers
Answer: Nicole can spend up to 7 hours in the boat.
Step-by-step explanation:
Based on the information given in the question, the possible number of hours that can be used will be calculated as thus:
(6 × t) - 9 ≤ 33
6t - 9 ≤ 33
Collect like terms
6t ≤ 33 + 9
6t ≤ 42
Divide both side by the coefficient of t
6t/6 ≤ 42/6
t ≤ 7
Nicole can spend up to 7 hours in the boat.
HELP WILL GIVE BRAINLEASIT
Answers
Step-by-step explanation:
try to do 180 - 135 organise a 45-degree that is the first answer of a and b you're taking 180 - 144 you got the answer also 28 degrees
Mark can make 9 pancakes in 15 minutes, and Charlotte can make 42 pancakes in 45 minutes. Working together, how many minutes would it take to make 138 pancakes?
Answers
Answer:
60 mins
Step-by-step explanation:
15+45=60
The time needed to make 138 pancakes if both Mark and Charlotte work together is 227.142 minutes.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25.
As it is given that Mark can make 9 pancakes in 15 minutes, therefore, the number of pancakes that Mark can make in one minute,
[tex]\text{Number of Pancake in one minute} = \dfrac{9}{15}[/tex]
Now, for Charlotte, it is given that he makes 42 pancakes in 45 minutes, therefore, the number of pancakes that Charlotte can make in one minute,
[tex]\text{Number of Pancake in one minute} = \dfrac{42}{45} = \dfrac{12}{15}[/tex]
Further, the total pancakes that can be made in one minute,
[tex]\text{Total Number of Pancake in one minute} = \dfrac{9}{15} +\dfrac{12}{15} = \dfrac{21}{15}[/tex]
As they both need to make 138 pancakes together, therefore, the time they need is,
[tex]\rm Time\ Needed = \dfrac{\text{Total number of pancakes}}{\text{Total number of pancakes in one minute}}[/tex]
[tex]\rm Time\ Needed = \dfrac{138}{\frac{21}{15}} = \dfrac{138\times 15}{21} = 227.142[/tex]
Hence, the time needed to make 138 pancakes if both Mark and Charlotte work together is 227.142 minutes.
Learn more about Fraction:
https://brainly.com/question/1301963
The formula to convert Celcius to Fahrenheit is F=\frac{9}{5}C+32F=
5
9
C+32. If the temperature is -22°F−22°F what is the temperature in Celcius.
Answers
Answer:
-30C - -5.56C
can you help me with this due today
Answers
a=15
b=8
c=17
Find the slope of the line perpendicular to AB. A(3, 5) and B(3, -8).
Answers
Answer:
m = 0
Step-by-step explanation:
AB has a slope of y2 - y1 / x2 - x1 so -8-5/3-3 so -13/0 = undefined so it is a vertical line, so any line that is horizontal will be perpendicular to it, so horizontal lines have a zero slope
•°|NO LINKS PLEASE, LOOKING FOR REAL ANSWERS|°•
What is the formula for finding the surface area of a square pyramid?
Answers
Answer:
a2 + 2al (or) a2 + √a24+h2 a 2 4 + h 2
Step-by-step explanation:
Answer:
SA=L²+2L√(L²/4+H²)
Step-by-step explanation:
Where H is the height and L is the length
Write the integer that represents the opposite of each situation
100 feet above sea level
Answers
67 is 42% of what number?
Answers
Answer:
28.14
Step-by-step explanation:
Figure 222 is a scaled copy of Figure 111.
Identify the side in Figure 222 that corresponds to side \overline{CD}
CD
start overline, C, D, end overline in Figure 111.
Answers
Answer:
if im corect the anwser is 3.14 (Side note) this is the wrong question i was anwsering to
which expression is a fourth root of -1 + i√3?
Answers
Answer:
−1+1.732051i
Step-by-step explanation:
To find the x-intercept, we let y = 0 and solve for x and to find y-intercept, we let x=0 and solve for y. Figure out the x-intercept and y-intercept in given equation of the line.
6x + 2y = 12
not bots with links or so help me i will
Answers
Answer:
X-intercept: (2, 0) Y-intercept: (0, 6)Step-by-step explanation:
X-intercept: y=0:
6x +2×0 = 12
6x = 12
x = 2
Y-intercept: x=0:
6×0 + 2y = 12
2y = 12
y = 6
Giving away 30 points, have a good day
Answers
Answer:
For real???
Step-by-step explanation:
Tysm!! <3 you deserve so much!
Answer:thanks
Step-by-step explanation:
URGENT , PLEASE HELP DONT LINK FILES!!!
Find the volume of right rectangular prism made of one hundred 1/2-inch cubes
Answers
Answer:
50
Step-by-step explanation:
100÷1/2=50 so your answer would be 50
7x-12+3x+28=180 degrees
Please help ASAP
Answers
Answer:
180 degrees
Step-by-step explanation:
i think im not sure??????? i hope im right
you put it in the question
7x+3x =10x
-12+28=16
So,
10x+16=180
10x=164
x
In the pic below help my cousin out UnU I don’t wanna help em ;-;
Answers
Answer:
The mode is 78, for it keeps repeating.
How many solutions does 4(−5x+8)= 4(−5x+8) have?
Answers
Answer:
infinity
Step-by-step explanation:
Use the sequence {−1,171,875;−234,375;−46,875;−9375,…} to answer the question.
What is the explicit rule that describes the sequence?
an=−1,171,875(125)n−1
an=1,171,875(−15)n−1
an=−1,171,875(15)n−1
an=1,171,875(−115)n−1
Answers
Answer:
an = −1,171,875(1/5)^n-1
Step-by-step explanation:
The given sequence is geometric sequence since they have the same common ratio r. The nth term of a geometric sequence is expressed as;
an = ar^n-1
n is the number of terms
r is the common ratio
a is the first term
From the sequence;
a = −1,171,875
r = −234,375 /−1,171,875 = -46,875/−234,375 = 0.2
r = 1/5
Substitute the values in the formula;
an = −1,171,875(1/5)^n-1
Hence the required explicit formula is an = −1,171,875(1/5)^n-1
The explicit rule that describes the sequence is [tex]\rm a_n = -1,171,875 (\dfrac{1}{5})^{n - 1 }[/tex]. Then the correct option is C.
What is a sequence?A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
The sequence is {−1,171,875;−234,375;−46,875;−9375,…}
The given sequence is the geometric sequence since they have the same common ratio r. Then the nth term of the geometric sequence will be
[tex]\rm a_n = a\ r^{n-1}[/tex]
Where
Number of terms (n)
First-term (a) = -1,171,875
Common ratio (r) = 1/5
Then nth term will be
[tex]\rm a_n = -1,171,875 (\dfrac{1}{5})^{n - 1 }[/tex]
The explicit rule that describes the sequence is [tex]\rm a_n = -1,171,875 (\dfrac{1}{5})^{n - 1 }[/tex]. Then the correct option is C.
More about the sequence link is given below.
https://brainly.com/question/21961097
A 13 foot ladder is leaning against the wall of a house. The ladder is 5 feet away from th
base of the house. How high up the house does the ladder reach?
Answers
Answer:
12 feet
Step-by-step explanation:
help please 100 point
Answers
Answer:
Solution given:
we have
<A+<B=exterior <C[sum of two opposite interior angle of a triangle is equal to the exterior angle in a triangle]
So
3x-13+ 2x+4=116°
5x-9=116°
5x=116°+9°
x=125/5
x=25
Now
<A=3×25-13=62°
<B=2×25+4=54°
Answer:
[tex]3x - 13 + 2x + 4 = 166 \\ 5x - 9 = 116 \\ 5x = 166 + 9 \\ 5x = 125 \\ x = \frac{125}{5} \\ x = 25 \\ \\ a = 3 \times 25 - 13 = 62 \\ b = 2 \times 25 + 4 = 54[/tex]
A circle has a radius of 15 cm. Find the diameter
Answers
Answer:
15 times 2 = 30
diameter = 30
Step-by-step explanation:
i need help with algebra 2 stuff. if anyone wanna help me out greatly appreciate it :)
Answers
Answer:
Step-by-step explanation:
I will try my best to help you with algebra what is the question
if h(x) = 3(x + 6), find h(-1).
a.3
b.9
c.15
d.21
Answers
What is the solution to the equation below?
4w=2/3
A
6/3
B
8/3
C 2/12
D 4 2/3
THESE ARE FRACTIONS
Answers
Answer:
I think it is 2/12
The solution set of IR - 31 = 10 is?
{7, 13)
(-7, 13)
(-13, 13)
Answers
Answer:
{7, 13)
Step-by-step explanation:
IR - 31 = 10
IR = 41
7*13 = 41
(-7)*13 = -41
(-13)*13 = -169
HURRY PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Answer:
48 is the answer
Step-by-step explanation:
9*4 +. 6*2
36 + 12
48
HELP PLEASE!!!
The bear population in Canada was 380,000 in the year 2015, and environmentalists think that the population is increasing at a rate of 2.5% per year.
Consider the function that represents the exponential growth of the bear population in Canada.
Part A: Defines a variable for the function and state what the variable represents.
Part B: What is a reasonable domain for the situation?
Part C: Write the function that represents the exponential growth of the bear population.
Part D: What will the bear population estimated to be in 2050?
Answers
Answer:
The population of Bear in 2050 is 4750000
Step-by-step explanation:
A) The exponential growth equation for bear is as follows -
dN/dT = rmax * N
Where dN/dT = change in population
rmax is the maximum rate of change
N = Base population
B) Here the per capita rate of increase (r) will always be a positive value irrespective of the and hence we will assume this population to be growing exponentially.
C) dN/dT = rmax * N
D) dN / 5 = 2.5 * 380,000
dN = 5*2.5 * 380000
= 4750000
A rectangular garden has a width of 10 feet and a length of 14 feet. A cement
walkway is added around the outside of the garden. The area of the garden and the
walkway together are 252 square feet. What is the width of the walkway?
Answers
Area of garden=10*14= 140 sq ft
Area of walkway=252-140= 112 sq ft
Walkway is around the garden, therefore its length is 24 ft (=10+14)
Walkway width=112/24= 4.7 ft
A pool has a length that is 3 times the width. Write the algebra radical value of the corner to corner distance
Answers
Answer:
The distance between corner to corner is equal to √10 times the width.
D = √10*W
Step-by-step explanation:
For a rectangle of length L and width W, the distance between two opposite corners can be calculated if we use the Pythagorean's theorem, where we can think on the length as one cathetus, the width as another cathetus and the diagonal as the hypotenuse.
Then the length of the diagonal is:
D^2 = L^2 + W^2
D = √( L^2 + W^2)
In this case we know that the length is 3 times the width, then:
L = 3*W
Replacing this in the equation for the diagonal we have:
D = √( (3*W)^2 + W^2) = √( 9*W^2 + W^2)
D = √( 10*W^2) = √10*√W^2 = √10*W
D = √10*W
The distance between corner to corner is equal to √10 times the width.