Answer:
33.3 is your answer
Step-by-step explanation:
The surface area of the smaller cone A₁ is approximately 33.3 cm² when rounded to the nearest tenth.
What is a cone?A cone is a three-dimensional geometric form with a flat base and a smooth, tapering apex or vertex. A cone is made up of a collection of line segments, half-lines, or lines that link the base's points to the apex, which is a common point on a plane that does not include the base.
Two cones A₁ and A₂ are similar.
The radius of A₁ = 2 cm
radius of A₂ = 3 cm
The surface area of A₁ = ? cm²
surface area of A₂ = 75 cm²
Since the cones A₁ and A₂ are similar, their corresponding sides are proportional.
Specifically, the ratio of their radii is the same as the ratio of their surface areas. That is,
(radius of A₁) / (radius of A₂) = (surface area of A₁) / (surface area of A₂)
We can use this relationship to solve for the surface area of A₁:
(surface area of A₁) = (radius of A₁ / radius of A₂)^2 × (surface area of A₂)
Substituting the given values, we get:
(surface area of A₁) = (2/3)² × 75
(surface area of A₁) = 4/9 × 75
(surface area of A₁) ≈ 33.3 cm²
Therefore, (surface area of A₁) ≈ 33.3 cm²
To learn more about the cone;
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Find m< A
Round to the nearest degree
Answer:
a bit more than 48°
Step-by-step explanation:
We use the law of cosines for this.
The theorem is an extension of pythagoras' theorem, working for all triangles. In our case
[tex]\overline{BC}^2=\overline{AB}^2+\overline{AC}^2-2\overline{AB}\cdot\overline{AC}cos \hat A[/tex]
Let's replace all the values we have and find whatever is left.
[tex]10^2=11^2+13^2-2(11)(13)cos \hat A\\-286cos\hat A = -190\\cos \hat A\approx 0.6643 \rightarrow \hat A \approx 48\°[/tex]
What is an advantage of renting a place to live? lower up-front costs payments change from month to month low down payment increasing equity over tim
Answer:
LOWER UPFRONT COSTS
Step-by-step explanation:
you're welcome ;)
what value can replace the question mark to make the statment true? 3 2/8 + ? = 7 1/8
Hello!
Question:what value can replace the question mark to make the statement true? 3 2/8 + ? = 7 1/8
Answer:
[tex]3\frac{7}{8}[/tex] Option B.
Step-by-step explanation:
Rewriting our equation with parts separated
[tex]= 7+\frac{1}{8}-3-\frac{2}{8}[/tex]
Solving the whole number parts
[tex]7-3=4[/tex]
Solving the fraction parts
[tex]\frac{1}{8} -\frac{2}{8} =-\frac{1}{8}[/tex]
Combining the whole and fraction parts
[tex]4-\frac{1}{8} =3\frac{7}{8}[/tex]
Therefore, the answer is 3 and 7/8
Hope this helps!
If you have any questions please ask!
Hey there!
3 2/8 + x = 7 1/8
13/4 + x = 57/8
x + 13/4 = 57/8
SUBTRACT 13/4 to BOTH SIDES
x + 13/4 - 13/4 = 57/8 - 13/4
SIMPLIFY IT!
x = 27/8
x = 3 7/8
Therefore, your answer is: x = 3 7/8
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
What is the slope for the graph shown? Leave he answer as a fraction and simplify if necessary
Answer:
Slope 1/3
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
Answer:
slope = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, - 1) and (x₂, y₂ ) = (9, 1) ← 2 points on the line
m = [tex]\frac{1-(-1)}{9-3}[/tex] = [tex]\frac{1+1}{6}[/tex] = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]
Please Help! If the triangle above is reflected over the y-axis, what is the correct coordinate for A'?
Answer:
A'(2,5)
Step-by-step explanation:
The position of point A is at (-2,5), and when you reflect it over the y-axis, you just have to switch the signs of the x-coordinate value.
Answer:
A'(2, 5)
Step-by-step explanation:
If the triangle is reflected over y-axis, the y-axis will be a symmetry line then the distance between A and y will remain the same but opposite sign which is 2 units ( -2 become 2 )
solve each of the following equations
1)x+8-15
Answer:
x - 7
Step-by-step explanation:
x + 8 - 15
Subtract 15 - 8 = 7
x - 7
~Lenvy~
Find the missing value in the table
(Ignore all the writing I did already I think it’s wrong but I’m not sure)
Answer:
Step-by-step explanation:
#1 is correct
#2 is correct
#3 is correct
#4 is correct
#5 is correct
#6 is 29.6
A triangle has two sides of length 14 and 19. What is the largest possible whole-number length for the third side?
its 33 I checked it mark the one above me brainiest
Neon bracelets cost $1 for 4.
What is the cost per bracelet?
At this rate, how much will 11 neon bracelets cost?
Answer:
its cost 25 cents
in so will cost 275 cent so 2.75
Step-by-step explanation:
mia kicked a football. the function f models the height of the ball above the ground (in meters) as a function of time (in seconds) after mia kicked it.
Answer:
Step-by-step explanation:
f(t)= 20t-5t^2
Answer:
(4,0)
Step-by-step explanation:
I did it on khan and got it right :)
Help as soon as possible thank you
==========================================================
Explanation:
The full circle has a circumference of
C = 2*pi*r
C = 2*3.14*4
C = 25.12
Divide this by four because we only want a quarter circle (and not the whole thing). Imagine cutting a pizza into four equal slices, and we only focus on one slice.
The curved portion of the slice is roughly 25.12/4 = 6.28 units long.
Add on the two straight line portions of the quarter circle to get 6.28+4+4 = 14.28
The straight line portions are the radius.
The answer of 14.28 is approximate because pi = 3.14 is approximate.
What is the relationship between the difference in
the means and the MADs?
Answer:
Its the second one in the photo
Step-by-step explanation:
it's the second because when I clicked it I got it right.
Is this a function pls someone tell me
The baker used 18 eggs for 5 cakes. How many eggs were used per cake?
Answer:
3.6 eggs
Step-by-step explanation:
You would divide 18 by 5 to find how much eggs used per 1 cake.
18 ÷ 5 = 3.6
Answer:18 x 5 so that would make it 90.
I think that's correct.
A globe has a diameter of 12 inches. It fits inside a cube-shaped box that has a side length of 12 inches.
What is the volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box that is not taken up by the globe?
The volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box that is not taken up by the globe is 823.68 inches³
Volume of a sphereThe globe is a sphere. Therefore, the volume is as follows:
volume = 4 / 3 πr³
where
r = 12 /2 = 6 inches
volume = 4 / 3 × π × 6³
volume = 864 / 3 π
volume = 288 × 3.14 = 904.32inches³
Volume of a cube
The box is a cube. Therefore,
volume = L³
where
L = lengthTherefore,
volume = 12³
volume = 1728 inches³
Therefore, the volume of the space inside the box that is not taken up by the globe is as follows:
volume not taken up = 1728 - 904.32 = 823.68 inches³
learn more on volume here: https://brainly.com/question/15385003
The perimeter of the triangular park shown on the right is 15x+2 . What is the missing length? The other two lengths are 5x-1 and 4x+4
Answer:
6x - 1
Step-by-step explanation:
Side 1: 5x - 1
Side 2: 4x + 4
Side 3: Unknown, y
Perimeter: 15x + 2
Perimeter = Side 1 + Side 2 + Side 3
15x + 2 = 5x - 1 + 4x + 4 + y
15x + 2 = 9x + 3 + y
6x - 1 = y
y = 6x - 1
Side 3 = 6x - 1
please show all work!! this is algebra.
what is (x^-2 y^10)^2/x^5 y^-3 using only positive exponents
Answer:
[tex] \frac{(x^{ - 2}{y}^{10})^{2} }{ {x}^{5} {y}^{ - 3} } \\ \frac{ {x}^{ - 4} {y}^{20} }{ {x}^{5} {y}^{ - 3 } } \\ {x}^{ - 9} {y}^{23} \\ \frac{ {y}^{23} }{ {x}^{9} } \\ ans \: c[/tex]
5 pounds=. Ounces
I need helppp
Work Shown:
1 pound = 16 ounces
5*(1 pound) = 5*(16 ounces)
5 pounds = 80 ounces
YELLOW If this is the Math Test Results of all 300 seventh graders
at a school, how many of the kids earned an A?
Answer:
13%
Step-by-step explanation:
How many ice cream desserts consisting of four scoops, of either vanilla or hazelnut flavor, are possible
2 flavors and 4 scoops
total different possibilities = 2^4 = 16
answer: 16
b= c= Please help asap
write an expression that is equivalent to 21h - 10h + 16 - 9 + 14h + 5 .
Answer:
25h+12
Step-by-step explanation:
Add the numbers :
21h-10h + 16-9 + 14h+ 5
21h-10h + 12 + 14h
Combine like terms:
25h + 12
Please Help! Will Give Brainlest!
Answer:
y = - 1
Step-by-step explanation:
the midline is positioned midway between the maximum and minimum values , that is
maximum value = 2 and minimum value = - 4 , then
y = [tex]\frac{2-4}{2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1
equation of midline is y = - 1
The area of a circular fountain is 121pi square feet. What is the diameter of the fountain?
Answer:
22 feet
Step-by-step explanation:
Area of circle = pi(r²)
the square root of 121 is 11, so r = 11
d = 2r
d = 22
Steve bought 24 ounces of his favorite cereal. He put equal amounts of the cereal in 4 containers. How many ounces did he put in each container?
Which of the following lists 3/6, 112, 15/18 in order from least to greatest?
Answer:
3/6 ⇒ 9/12⇒ 15/18
Step-by-step explanation:
To put the following lists 3/6,9/12, 15/18 in order from least to greatest we can turn the fraction into decimal..
3/6 = 0.5
15/18 = 0.83333333333
9/12= 0.75
Hence from least to greatest:
0.5,0.75, 0.83333333333
Also know as:
3/6,9/12,15/18
~lenvy~
Answer:
Order 3/6, 9/12, and 15/18 from least to greatest.
Keep in mind, there are multiple ways into finding the answer to this question.First, we must simplify these fractions as much as possible then find a possible common denominator.
3/6 simplifies to 1/2
9/12 simplifies to 3/4
15/18 simplifies to 5/6
Now we have fractions of 1/2(3/6), 3/4(9/12), and 5/6(15/18).
If we look at these fractions, we can see that they have a common denominator of 12. So let's convert these fractions into having a denominator of 12;
1/2 x 6/6 = 6/12
3/4 x 3/3 = 9/12
5/6 x 2/2 = 10/12.
So now we have the fractions 6/12(3/6), 9/12(9/12), and 10/12(5/6).
These are already ordered from least to greatest.
So therefore, this'll be ordered;
3/6, 9/12, and 15/18.
2. Determine whether the two functions are inverses.
f (x) = 1/2 x-3
g(x)= 2x+6
please help
Answer:
The two functions are inverses.
Step-by-step explanation:
Recall what an inverse is:
When you inverse an equation, like y = 2x for example, you switch, the y and x values. So you'd now have x = 2y, then x/2 = y.
In a case like that we'd say that, y = 2x, and y = x/2 are inverses of each other.
Now looking at your question, all we'd need to do is take the inverse of 1, and see if it matches up with the other one. So pick a function. I'll choose g(x) and I'll inverse it.
[tex]g(x) = y = 2x + 6[/tex]
get rid of the g(x), as it doesn't help you anymore.
[tex]y = 2x + 6[/tex]
then, switch the x and the y.
[tex]x = 2y + 6[/tex]
then isolate for y.
[tex]x - 6 = 2y[/tex]
[tex]\frac{x-6}{2} = y[/tex]
Now let's see, does [tex]f(x) = \frac{1}{2}x - 3[/tex] equal [tex]\frac{x-6}{2}[/tex] ? Well actually yes.
We just didn't simplify all the way.
[tex]\frac{x-6}{2} = y\\[/tex]
divide each term by 2
[tex]\frac{x}{2} - 3 = y[/tex]
[tex]\frac{x}{2}[/tex] can be written as [tex]\frac{1}{2}x[/tex] so we get
[tex]\frac{1}{2}x - 3[/tex] which is equal to f(x)
Therefore the 2 functions are inverses.
Q.E.D
hello, please answer the question, please show work
Answer:
5
Step-by-step explanation:
[tex]\frac{(44+9^2)}{5^2}[/tex] = [tex]\frac{44+81}{25}[/tex] = [tex]\frac{125}{25}[/tex] = 5
Selma deposited a paycheck for $378.42. she’ll use the check register to record her transaction. what will be her new balance? a checking account has a balance of 2636 dollars and 41 cents. $2,257.99 $2,337.06 $3,014.83 $3,057.31
The new account balance by deposit of $378.42 will be $3014.83.
What is addition?When anything is increased in the already existing quantity then it is termed the addition.
Now it is given in the question that
Selma deposited an amount of = $378.42
Account balance =$2636.41
Now the new balance will be = New amount + Previous balance
[tex]\rm New\ amount = 2636.41+378.42=3014.83[/tex]
Thus new account balance by deposit of $378.42 will be $3014.83.
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Answer:
Step-by-step explanation:
c