Find the total surface area of the following
cone. Leave your answer in terms of m.
12 cm
5 cm
Hint: Surface Area of a Cone = url + B
Where l = slant height, and B = area of the base
S.A. = [? ]n cm?
Answers
Answer:
[tex]S.A.=90\pi~cm^2[/tex]
Step-by-step explanation:
Surface Area of a Cone
Given a cone of base area B and slant height L, the surface area can be calculated with the formula:
[tex]S.A.=\pi rL +B[/tex]
The cone presented in the image has a circular base of radius r=5 cm, thus its base area is:
[tex]B=\pi r^2[/tex]
[tex]B=\pi 5^2[/tex]
[tex]B=25\pi~cm^2[/tex]
The slant height can be calculated as the hypotenuse of a right triangle with legs 5 cm and 12 cm by using Pythatgora's Theorem:
[tex]L^2=5^2+12^2[/tex]
[tex]L^2=25+144=169[/tex]
Taking square roots
[tex]L = \sqrt{169}[/tex]
L = 13 cm
The surface area is:
[tex]S.A.=\pi (5~cm)*13~cm +25\pi~cm^2[/tex]
Operating:
[tex]S.A.=65\pi~cm^2 +25\pi~cm^2[/tex]
[tex]\mathbf{S.A.=90\pi~cm^2}[/tex]
Answer:
90
Step-by-step explanation:
Related Questions
please help me thanks
Answers
Answer:
It is 61 degress an acute angle.
Step-by-step explanation:
Which of the following points would be on the graph of the equation y=-3x + 1?
A. (-4, -10)
B.(-4, 22)
C. (1, -10)
D. (1, - 2)
Answers
Answer:
D.(1,-2)
Step-by-step explanation:
y= -3x+1
when x=1
y= -3*1 +1
y=-3+1
so
y=-2
Your payment is $350 per month for 48 months and you made a 3,000 down payment?
Answers
Answer:
Your total cost would be $19800
Step-by-step explanation:
350*48
=16800
+3000
=19800
Calculate $x^{6} + (y^{2} \div z^3)\cdot w^3$ assuming that $x=2$, $y=3^2$, $z=3$, and $w=4$.
pleeeeeeease help i am struggling
Answers
Answer:
this copy and paste is to hard to read making it impossible to solve sorry.
Step-by-step explanation:
The value of the expression is 256.
What is simplification of an expression?Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. It involves, multiply out the brackets and then simplify the resulting expression by collecting the like terms.
For the given situation,
The expression is $x^{6} + (y^{2} \div z^3)\cdot w^3$
⇒ [tex]x^{6}(\frac{y^{2} }{z^{3} } )(w^{3} )[/tex]
Substitute $x=2$, $y=3^2$ = 9$, $z=3$, and $w=4$,
⇒ [tex]2^{6}(\frac{9^{2} }{3^{3} } )(4^{3} )[/tex]
⇒ [tex]64+(\frac{81}{27} )(64)[/tex]
⇒ [tex]64+(3)(64)[/tex]
⇒ [tex]64+192[/tex]
⇒ [tex]256[/tex]
Hence we can conclude that the value of the expression is 256.
Learn more about simplification of an expression here
https://brainly.com/question/13730519
#SPJ3
Using the Equation, predict how much the Temperature change will be in 20 years since 2000.
Answers
Answer:
0.82° C
Step-by-step explanation:
To predict how much change the temperature will be in 20 years time since 2000, simply substitute x = 20 into the given equation, [tex] y = 0.52 + 0.015x [/tex]:
[tex] y = 0.52 + 0.015(20) [/tex]
[tex] y = 0.52 + 0.3 [/tex]
[tex] y = 0.82 [/tex]
✅The temperature change would be 0.82° C.
Help please it’s due in a bit
Answers
Answer:
Options A, C and D are correct ones.
Step-by-step explanation:
Options A, C and D are correct.
What is the diffrence between 102.62 and 101.94??
Answers
Answer:
Quantity and Price Indexes for Gross Domestic Product Continued [ Index ... 105.19 101.53 101.52 105.10 103.10 101.94 101.94 107.21 104.47 102.61 102.62 ...
Step-by-step explanation:
higher and low
A total of 2000 people attended a benefit concert was held to raise money for a children foundation. Student ticket cost $2 and an adult ticket cost $3. If the organizer raises a total of $5050, how many students attended the concert?
Answers
Answer:
257 kids
Step-by-step explanation:
It takes 115 pounds of seed to completely plant a 12-acre field. How many pounds of seed are needed per acre?
Answers
Answer: 9.5
Step-by-step explanation:
You need to do 115/12 and the answer is 9.5 so if that is not an answer it will be10 rounded up
What is the average rate of change for f(x) = -5* + 140 over the interval 1 sxs 3?
es )
A)
-120
B)
-60
120
D)
60
Answers
Answer:-60
Step-by-step explanation:
Да се намери обемът на правилна четириъгълна призма с лице на околната повърхнина 1600см² и обиколка на основата 12 см
Answers
Answer:
се намери обемът на правилна четириъгълна призма с лице на околната повърхнина 1600см² и обиколка на основата 12 см
Which of the following can be used to represent 2x5 using repeated addition? Select all that apply.
5+5+5+5+5
5+5
2+2+2 + 2 + 2
2+2
Answers
Answer:
5+5
Step-by-step explanation:
5+5 and 2+2+2+2+2
two fives equal ten and five twos equal ten.
Which of the following represents the range of the relation below?
{(0, 0), (1, 4), (6, 2)}
{0, 1, 2, 4, 6}
{0, 2, 4}
{1, 6}
{0, 1, 6}
Answers
Answer:
{ (0,0),(1,4),(6,2)
Range = {0,2,4}
A line passes through the points (0,3), (4,1) and (6,0). Which function best represents the relationship between the two points?
Answers
Answer:
y = - [tex]\frac{1}{2}[/tex] x + 3
Step-by-step explanation:
y = mx + b
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] and "b" is y-intercept with coordinates (0, b)
(0, 3) ⇒ b = 3
(4, 1), (6, 0)
m = [tex]\frac{0-1}{6-4}[/tex] = - [tex]\frac{1}{2}[/tex]
y = - [tex]\frac{1}{2}[/tex] x + 3
What is equivalent to (3-2i)^2
Answers
Answer:
13
Step-by-step explanation:
(3-2i)^2 =
9-4i^2 =
9-4(-1) =
9+4 = 13
what scale factor is applied to shape b to make shape A:
A. 1/2
B. 3/4
C.4/3
D. 2
Answers
Answer:
D. 2
Step-by-step explanation:
Answer:
D.2
Step-by-step explanation:
you need to multiply the sides of B by 2 to get the sides of A.
3 times 2= 6
6 times 2=12
4 times 2=8
The graph shows the cube root parent function.
Answers
Answer: C
Step-by-step explanation:
The function is always increasing
The function is increasing when x>0 for the graph of [tex]y= \sqrt[3]{x}[/tex] as parent function.
What is graph?" The graph is defined as the representation of relation between two variables on the coordinate plane."
According to the question,
Given graph of the cube root parent function
For function [tex]y= \sqrt[3]{x}[/tex]
x = 0 ⇒ y = 0
x = 1 ⇒ y = 1
x = 8 ⇒ y = 2
x = 27 ⇒ y = 3
Therefore, for x>0, function [tex]y= \sqrt[3]{x}[/tex] is increasing.
Hence, Option(D) is the correct answer.
Learn more about graph here
https://brainly.com/question/20381610
#SPJ2
Marcus can read 126 pages in one hour. How many pages can he read in 15 minutes?
Answers
Answer:
31.5 or 32
Step-by-step explanation:
Divide 126 by 4
All you do is 126 divided by 4
which of the number 285, 627, 5490, 7290, 7295, 15780, 43695 are divisible by 5 but not 3
Answers
Answer:
Step-by-step explanation:
They all end in 0 or 5 except 627, so all but 627 are divisible by 5.
The following are divisible by 3
285
627 is divisible by 3 (but not 5)
5490 is divisible by 3
7290 is divisible by 3
15780
43695
===============
So your answer is
7295
I think that's the only one divisible by 5 but not 3.
===============
There's a quick way to divide by 3. Just add the digits. If the sum is divisible by 3 then the whole number is divisible by 3
For example 285
2 + 8 + 5 = 15.
15 is divisible by 3 so 285 is divisible by 3.
==================
7295 = 7 + 2 + 9 +5. Anything adding up to 9 you can cast out.
7 + 2 = 9 Cast it out
9 = 9 Cast it out
5 is not divisible by 3, so 7295 is not divisible by 3
what is the value of this expression below when x=5
5x+6
Answers
Answer:
31
Step-by-step explanation:
5(5) + 6
5 x 5 = 25
25 + 6 = 31
A market sells blueberries for $3 per pint. The first day, the market sold a total of $35 worth of blueberries. The second day, the market sold a total of $47 worth of blueberries. And the third day, the market sold a total of $57 worth of blueberries. Estimate how many pints the market sold over the three days.
Answers
Answer:Around 50 pints
Step-by-step explanation:
$35=$40
$47=$50
$57=$60
$40+$50+$60=$150/3=50
What is the value of the expression below when c=5 and d=4?
Answers
Answer:
138.....................
Answer:
888
Step-by-step explanation:
C equals 5 so u do 6 times 5. Then you have to do that by the exponent of 2 which equals 900. Because d equals 4 u do 5 times 4 which equals 20. So 900 minus 20 equals 880 plus 8 equals 888
What is the equation of a line that has a slope of 2/5 and passes through the
point (-5,5)? *
Answers
Answer:
y = 2/5x + 7
Step-by-step explanation:
substitute 2/5 in for m and (-5,5) in for (x,y) respectively to find the y intercept
y=mx+b
5 = 2/5(-5) + b
5 = -2 + b
add 2 to both sides to solve for b (y intercept)
b = 7
therefore the equation for the line will be...
y = 2/5x + 7
Can somebody answer this
Answers
Work out the perimeter of a rectangle with length 8.5cm and width 0.2cm.
Answers
Answer: 17.4 cm
Step-by-step explanation: All you have to do is add all of the sides together.
So 8.5+8.5+0.2+0.2
=17+0.4
=17.4 cm
Answer:
17.4 cm
Step-by-step explanation:
A rectangle has two sets of parallel, equal sides. So that means two of the sides are equal to 8.5cm and the other two sides are equal to 0.2cm. When you put that in an equation:
8.5 + 8.5 + 0.2 + 0.2 = 17.4
Hope this helps :)
Andy is reading a novel. At 9:00AM, he has read 90 pages. At 12:00 PM, he has read 300 pages. What is Andy's average reading speed between 9:00AM and 12:00 PM? * 20 points
Answers
Answer: about 2 pages per minute
Answer:
75 pages an hour.
Step-by-step explanation:
y = 300/4x + 90
The question is asking for the slope
300/4 is the slope
300 pages in 4 hours.
We need to find out how many pages he can read per hour so we divide both numbers by 4.
300 ÷ 4 = 75
4 ÷ 4 = 1
He can read 75 pages per hour.
Brainliest is much appreciated!
A dragonfly can fly at 36 miles per hour.at this rate,how far can it fly in 10 minutes?
Answers
Answer:
it can fly 6 miles in 10 mins as 10×6=60 36/6=6
10 minutes is 1/6 of an hour
36/6 = 6
A dragonfly can fly 6 miles in 10 minutes
amy jogs 1/3 of a mile in 1/15 of an hour while john takes 1/30 of an hour to jog 1/5 of a mile if they continued at this who would jog the farther in one hour and by how much
Answers
Answer:
John would jog 1 more mile than any
Step-by-step explanation:
If you solve for the rate of which they both jog you would know that John jogs 6 miles an hour and Amy would jog at a rate of 5 miles an hour
solve : 3 under root a/b
Answers
square root of 121x^2
Answers
Answer:
Step-by-step explanation:
square root of 121 is11
square root of x^2 is x
so 11x