The cone shown has a radius of 5 feet and a slant height of 12 feet. Which choice is closest to the total surface area? Use 3.14 to approximate pi.60 square feet
79 square feet
188 square feet
267 square feet
Answers
Where SA stands for surface area, h stands for height, and r stands for radius.
In the given information, we are not told the height, but we are told the slant height.
In a cone, the slant height, the height, and the radius together form a right triangle. We can use that triangle to solve for the height
So, to find the height, we can do:
5^2+b^2 = 12^2, or 25+b^2 = 144
Therefore, b is equal to about 11
So now, we can plug all of our values into the formula
This gives us:
If we solve, this gives us about 267.
Therefore the answer is 267 feet squared
Hope this helped!! :D
sa=π•r²+r•√h²+r²
sa=3.14•5²+5•√11²+5²
sa=78.5+5•12.08
sa=267
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(-4,2)
(-2, 4)
(2,4)
(4,-2)
Answers
The coordinate of S if the triangle is transformed according to the rule Ro. 270 is (-4, 2)
Transformation of coordinates
Transformation is the process of changing the position of an object in a xy-plane.
Given the coordinate of the triangles as R(1, 1), S(-2,-4), and (T-3, -3). If the triangle is transformed according to the rule Ro. 270", the resulting coordinate points are (x,y)→(y,−x)
The coordinate of S using the rule is (-4, 2)
Learn more on transformation here: brainly.com/question/17311824
The coordinate of S if the triangle is transformed according to the rule Ro. 270 is (-4, 2)
What is transformation?
A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.
here, we have,
Transformation of coordinates
Transformation is the process of changing the position of an object in a xy-plane.
Given,
the coordinate of the triangles as R(1, 1), S(-2,-4), and (T-3, -3). If the triangle is transformed according to the rule Ro. 270", the resulting coordinate points are (x,y)→(y,−x)
The coordinate of S using the rule is (-4, 2)
Learn more on transformation here:
#SPJ5
Answers
The value of the solution of expression is, x = 11
We have to give that,
An expression to simplify,
4x - 7 = 2x + 15
Now, Simplify the expression by combining like terms as,
4x - 7 = 2x + 15
Subtract 2x on both sides,
4x - 2x - 7 = 15
2x - 7 = 15
Add 7 on both sides,
2x - 7 + 7 = 15 + 7
2x = 22
Divide 2 into both sides,
x= 22/2
x = 11
Therefore, the solution is, x = 11
To learn more about the mathematical expression visit:
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4x-2x=15+7
2x=22
x=11
B. 2.25 inches
C. 18 inches
D. 9 inches
Answers
listen Lindaaaaaaa
Answers
x=3/8
Lets say n is the value of how many people ate with 7 people
7x=n
now substitute
7x=n
7(3/8)=n
21/8=n
n=2 5/8
Answers
The dimensions are length equal to 9 inches and width equal to 6 inches.
It is given that length of rectangularframe is three less than twice the width and its perimeter is 30 inches.
We have to find out the dimensions of the frame.
What is the perimeter of a rectangle ?
The perimeter of a rectangle is 2 ( b + l ) , where b is width and l is the length of the rectangle.
As per the question ;
Length of rectangularframe is three less than twice the width.
Let's assume width be x.
So ;
Length will be ;
= 2x - 3
We know that ;
Perimeter of a rectangle is given by ;
P = 2 ( b + l )
⇒ 30 = 2 ( x + 2x - 3 )
⇒ 30 = 2 × ( 3x - 3 )
⇒ 30 = 6x - 6
⇒ 6x = 36
⇒ x = 6 inches
So ;
width will be 6 inches and length will be ;
l = 2x - 3
l = 2 × 6 - 3
l = 12 - 3
length = 9 inches
Thus , the dimensions are length equal to 9 inches and width equal to 6 inches.
To learn more about algebra click here ;
https://brainly.in/question/6577457
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Length-2x-3
Width-x
P=2[l+w]
30=2[2x-3+x]
30=2[3x-3]
30=6x-6
Add 6 to both sides
36=6x
Divide both sides by 6
x=6
Length:9
Width:6