Given:
The surface area of a right circular cone is 32 sq. cm.
Scale factor for enlargement = 3
To find:
The surface area of the new cone.
Solution:
We know that enlargement of a shape forms a similar shape and area of the similar shapes is proportional to the square of their corresponding sides.
[tex]\dfrac{\text{Area of cone}}{\text{Area of new cone}}=\dfrac{\text{Radius of cone}^2}{\text{Radius of new cone}^2}[/tex]
Let the surface area of new cone be A and r be the radius of original cone
[tex]\dfrac{32}{A}=\dfrac{(r)^2}{(3r)^2}[/tex]
[tex]\dfrac{32}{A}=\dfrac{r^2}{9r^2}[/tex]
[tex]\dfrac{32}{A}=\dfrac{1}{9}[/tex]
By cross multiplication, we get
[tex]32\times 9=1\times A[/tex]
[tex]288=A[/tex]
The surface area of the new cone is 288 sq. cm.
Therefore, the correct option is C.
Answer:
Answer 288
Step-by-step explanation:
What is the distance between...
-a and a?
Answer:
depends what the number is
Step-by-step explanation:
if its -7 and 7 then the distance would be 14
Which expression is equivalent to 5(x+2) -7(x+2)?
Answer:
−2x−4
Step-by-step explanation:
5(x+2)−7(x+2)
Distribute:
=(5)(x)+(5)(2)+(−7)(x)+(−7)(2)
=5x+10+−7x+−14
Combine Like Terms:
=5x+10+−7x+−14
=(5x+−7x)+(10+−14)
=−2x+−4
Please help this is due tonight please :)
Answer:
(-3,4)
Step-by-step explanation:
3x + 2y = -7
2x - 5y = 8
please help solve!! i need my work need to me shown so please help me! ❤️
Answer:
56/19
Step-by-step explanation:
I'll approach this using Substitution. Since 3X = 2Y, we know that 1.5X = 1Y. We can plug that into the first equation, which gives us...
2X + 5(1.5X) = 8
2X + 7.5X = 8
9.5X = 8
19X = 16
X = 16/19
While this is not 'pretty', it does match up with how most of the answers are written (four of the answers involve "nineteenths"). With this value of X, we can solve for Y...
3X = 2Y
3(16/19) = 2Y
48/19 = 2Y
24/19 = Y
With the value of X and the value of Y, we can answer the question that's asked:
2X + Y = ?
2(16/19) + 24/19 =
32/19 + 24/19 =
56/19
Final Answer: 56/19
Answer:
[tex]x = - 1[/tex]
[tex]y = - 2[/tex]
Step-by-step explanation:
[tex]3x + 2y = - 7[/tex]
[tex]2x - 5y = 8[/tex]
Apply elimination method. Let multiply the bottom equation by -3/2.
[tex]2 \times - \frac{3}{2} x = - 3[/tex]
[tex] - 5 \times - \frac{3}{2} = 7.5[/tex]
[tex]8 \times - \frac{3}{2} = - 12[/tex]
Substitute new equation and add it to the top equation
[tex]3x + 2y = - 7[/tex]
[tex] - 3x + 7.5y = - 12[/tex]
[tex]9.5y = - 19[/tex]
[tex]y = - 2[/tex]
Now plug -2 for y into any equation and solve for x.
[tex]3x + 2( - 2) = - 7[/tex]
[tex]3x - 4 = - 7[/tex]
[tex]3x = - 3[/tex]
[tex]x = - 1[/tex]
**The lines are PARALLEL**
1. Identify a pair of corresponding angles.
2. Identify a pair of alternate interior angles.
3. Identify a pair of alternate exterior angles.
4. Identify a pair of vertical angles.
5. If the measure of angle 2 is 35°, what is the measure of angle 6?
6. If the measure of angle 2 is 35°, what is the measure of angle 8
Answer:
1. angle 2 and angle 6
2. angle 4 and angle 5
3. angle 1 and angle 8
4. angle 6 and angle 7
5. 35
6. 145
Step-by-step explanation:
Amy mows lawns to earn money for a new phone. She charges $8.15 an hour. How much money will she earn if she mows for 4.5 hours? Show your work for full credit.
Answer:
every hour is $8.15 if 4.5hours her mows is $33.15
Answer:
$36.68
Step-by-step explanation:
If she mows for 4.5 hours, you multiply that by how much she makes an hour. each hour she makes $8.15 each hour.
4.5 * 8.15= 36.675
you'd round up to the 100ths place because of the 5
will name brainliest if correct the first answer
Answer:
the third one
Step-by-step explanation:
have a great day :)
It is C
In problem C X is still being multiplied by the other variable y, and also it is still multiplying the 7 too, The other questions do not factor in the multiplication required meaning that the only answer that could be applied would be C.
Hope this helps and have a nice day.
-R3TR0 Z3R0
∠A and ∠B are vertical angles. If m∠A=(5x+5)∘and m∠B=(4x+29)∘, then find the measure of ∠A.
Answer:
∠A = 175∘
Step-by-step explanation:
∠A = ∠B
5x-5= 4x+29
x = 34
∠A= 34*5+5
∠A=170+5=175
5x+5= 4x + 29
-5
5x=4x+24
-4x -4x
x=24
m∠A=5x+5
m∠A=5(24)+5
120+5
Answer=125
Pls help and look at the screenshot will give brainlist
Answer:
D
Step-by-step explanation:
Subtract the fractions. Simplify, if possible.
3/4 - 2/3 =
Answer:
[tex] \frac{9 - 8}{12 } \\ = \frac{1}{12} \\ = 0.8333333...[/tex]
Solve for X
Will give brainiest
Answer:
x = 6
Step-by-step explanation:
8x + 2 + 70 + 60 = 180
8x + 132 = 180
8x = 48
x = 6
I Need help ASAP please and Thankyou!!
Answer:
Step-by-step explanation:
m∠R = 180° - 110° [Linear pair of angles are supplementary]
m∠R = 70°
m∠S = 45° [Vertically opposite angles]
By triangle sum theorem,
m∠P + m∠R + m∠S = 180°
m∠P + 70° + 45° = 180°
m∠P = 180 -115
= 65°
Therefore, m∠A = m∠P = 65° [Vertically opposite angles]
By triangle sum theorem,
m∠B + m∠S + m∠T = 180°
m∠B + 45° + 65° = 180°
[m∠T = 65°. Since, ∠P and ∠T are corresponding angles]
m∠B = 180° - 110° = 70°
m∠C + m∠B = 180° [Linear pair of angles are supplementary]
m∠C = 180° - 70° = 110°
m∠D + m∠T = 180° [Linear pair of angles are supplementary]
m∠D + 65° = 180°
m∠D = 115°
What is the answer to
5/6 + -4/9 - -2
Answer:
The answer is 2.38888888889.
Step-by-step explanation:
Hope this helps! ^w^
Answer:
43/18
Step-by-step explanation:
Please help a girl out:
Answer:
19.2
Step-by-step explanation:
its honestly really easy lol
Answer:
20 :)
Step-by-step explanation:
it's 20
160% of 20 is 32
the answer to your question is 20
Answer please helpppp!!!
Answer:
Answer: 4 feet long :)))
Answer: exit and see what It looks like them look it up then put quizziz them find the one you are looking for teh it will give you the creater then press perview then click show answers so you will get the answers.
Step-by-step explanation:
127.6-18.59=?
(Please explain how you got it)
Answer:109.01
Step-by-step explanation:
How long is a string reaching from the top of a 12-ft pole to a point on the ground that is 11 ft from the base of the pole? I need this fast
Answer:
Step-by-step explanation:
either 1 foot or 33 ;-;
The value 5.1 feet long is a string reaching from the top of a 12-ft pole to a point on the ground that is 11 ft from the base of the pole.
What is Pythagoras theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
Given:
A string reaching from the top of a 12-ft pole to a point on the ground that is 11 ft from the base of the pole.
Let the value is C.
The Pythagoras' theorem,
C² = (11)² + (12)²
C² = 121 + 144
C² = 265
C = 5.1 feet.
Therefore, the value is 5.1 feet.
To learn more about the Pythagoras theorem;
https://brainly.com/question/343682
#SPJ2
12
SinA= for which of the following triangles?
16
A
B
А
16
16
12
12
B
ਹੈ
с
00
А
А
C
D
12
16
16
B
12
B
Answer:
I believe the answer is triangle A.
Step-by-step explanation:
Since we know that sine is opposite over hypotenuse, and that the sine is being taken from angle A, triangle A is the correct answer.
Hope this helps!
WILL GIVE BRAINLIEST!! Brooke has an exterminator visit regularly to control an ongoing cockroach problem. It's been working, and the population has declined by 5% every year. If the population is currently 4,900 cockroaches, how many will there be in 5 years?
A class has 30 students. 18 are boys. What is the ratio of boys to girls? (you must simplify)
Answer:
18:12
simplified 3:2
this is the answer to your problem
The ration between boys and girls are - 18:12
when simplified- 3:2
Zack has an old car. He wants to sell it for 60% off the current price. The
market price is $500. How much money would he receive in exchange for
the car if he were able to sell it at that rate?
Answer:
300 dollars
Step-by-step explanation:
60% of 500
(60/100) * 500 = 300
what is 3 1/4 + 1 3/8
Answer:
4 5/8
Step-by-step explanation:
Answer:
37 /56
Step-by-step explanation:
Supppose a rectangle will undergo a rotation about the origin of a coordinate plane and a translation of 6 units down. Which of these is a true statement
Options:
The resulting rectangle will be congruent to the original rectangle regardless of the order of the rotation and the translation.
The resulting rectangle will be congruent to the original rectangle only if the rotation occurs before the translation.
The resulting rectangle will be congruent to the original rectangle only if the translation occurs before the rotation.
The resulting rectangle will not be congruent to the original rectangle regardless of the order of the rotation and the translation.
Answer:
The resulting rectangle will be congruent to the original rectangle regardless of the order of the rotation and the translation.
Step-by-step explanation:
See attachment for options
Given
Shape: Rectangle
Transformation
- Rotation
- Translation 6 units down
Required
True statement about the transformation
From the options, we understand that we are to answer the question based on whether or not the image of the transformation will equal the original.
The given transformations are rigid transformations and as such, they do not in any way change the measure of the length and/or angle of the new image, after transformation
So, irrespective of which transformation comes first, both shapes will be congruent.
Hence: (a) is true
Find the values of x and y.
(7x - 23)°
(5x + 11)°
(10y -6)
X =
y =
Answer:
i have made it in above picture
x = 17
y = 9
hope it helps
line
I had 200,00 stickers and I gave 578 to my sister how many would I have
Answer:
19422
Step-by-step explanation:
20000-578 to solve the problem
The right triangle below is dilated by a scale factor of 3. Find the perimeter and area
of the right triangle below, as well as the perimeter and area of the dilated right
triangle. Figures are not necessarily drawn to scale.
24
10
26
Perimeter of given right triangle
units
Perimeter of dilated right triangle
units
units
Area of given right triangle
units?
Area of dilated right triangle
Submit Answer
Answers:
For original triangle, perimeter is 60. The area is 120.
The dilated triangle, perimeter is 180. The area is 1080.
Step-by-step explanation:
24 times 3=72
10 times 3=30
26 times 3=78
72+30+78=180
Perimeter of diliated triangle
1/2btimesh=area
1/2 30 times 72=1080 square units
Perimeter of original triangle
24+10+26=60 units
1/2 10 times 24=120 square units
From the picture attached,
Measure of the base of the small right triangle = 10 units
Height of the triangle = 24 units
Measure of the Hypotenuse = 26 units
Since, Perimeter of the triangle = Sum of the measures of the sides of the triangle
Therefore, Perimeter = 10 + 24 + 26
= 60 units
Area of the triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(10)(24)[/tex]
= 120 units²
Given triangle is dilated by a scale factor of 3 to form the bigger triangle,
Scale factor = 3
Since, expression for the scale factor is given by,
Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]
Therefore, length of the base of the dilated (bigger) triangle will be,
[tex]3=\frac{\text{Measure of the base of the original}}{10}[/tex]
Measure of the base of the original = 30 units
Height of the dilated triangle will be,
[tex]3=\frac{\text{Height of the dilated triangle}}{24}[/tex]
Height = 24 × 3
= 72 cm
Hypotenuse of the dilated triangle will be,
[tex]3=\frac{\text{Hypotenuse of the dilated triangle}}{26}[/tex]
Hypotenuse = 78 cm
Now the perimeter of the dilated triangle = 30 + 72 + 78
= 180 cm
Area of the dilated triangle = [tex]\frac{1}{2}(30)(72)[/tex]
= 1080 cm²
Learn more,
https://brainly.com/question/8517549
Pythagorean Theorem Formula pls help
Answer:
Part A- angle A and angle c
Part b- 17 squared - 8 squared =root 225 = 1
part c- 15 squared - 12 squared = root 81 = 9
Step-by-step explanation:
Pls give me brainliest if u can!
can someone please do
5,6,7, and 8
Answer:
Step-by-step explanation:
General form of circle: (x - h)² + (y- k)² = r²
r - > radius and h ,k are the coordinates of the center.
5) (x - 5)² + (y- 1)² = 64 = 8²
radius: 8 ; Center (5 , 1)
6) (x + 7)² + (y- 2k)² = 324 = 18²
Center = ( -7 , 2) ; radius = 18 ; diameter = 18 *2 = 36
7) (x )² + (y + 10)² = 42.25 = 6.5²
Center = (0 , - 10); radius = 6.5 ; diameter = 6.5*2 = 13
8) (x - 6)² + (y + 1)² = 80 = (4√5)²
Center =(6, -1) ; radius = 4√5
An 8 foot metal guy wire is attached to a broken stop sign to secure its position until repairs can be made. Attached to a stake in the ground, the guy wire makes an angle of 51º with the ground. How far from the foot of the stop sign is the stake, to the nearest tenth of a foot?
AS SOON AS POSSIBLE
What number is 25% of 5/8?
(( Can someone please give the formula, this is like reading a foreign language to me lol ))
Thank you.
A percentage is essentially a fraction, but lazily written. Think of a percent as 25/100, or 0.25.
Now multiply the two.
0.25x5/8.
We need to convert 5/8 to a decimal, which is 0.625.
0.25x0.625=0.15625.
Now convert the decimal to a fraction, which is 5/32.
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hope it helps