1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Airida [17]
2 years ago
6

A transformation that increases or decreases the size of a figure according to the scale factor

Mathematics
1 answer:
Serjik [45]2 years ago
5 0

Answer:

Are you talking about dilation of a polygon?

Step-by-step explanation:

You might be interested in
Find the surface area of the part of the circular paraboloid z=x^2+y^2 that lies inside the cylinder X^2+y^2=1
hichkok12 [17]

Answer:

\mathbf{\dfrac{\pi}{6}[5 \sqrt{5}-1]}

Step-by-step explanation:

Given that:

The surface area (S.A) z = x^2 +y^2

Hence the S.A is of form z = f(x,y)

Then the S.A can be represented with the equation

A(S) = \iint _D \sqrt{1+ (\dfrac{\partial z}{\partial x})^2+ (\dfrac{\partial z}{\partial y})^2} \ dA

where :

D = cylinder x^2 +y^2 =1

In polar co-ordinates:

D = {(r, θ): 0≤ r ≤ 1, 0 ≤ θ ≤ 2π)

Similarly, \dfrac{\partial z}{\partial x} = 2x and \dfrac{\partial z}{\partial y} = 2y

Therefore;

S.A = \iint_D \sqrt{1+4x^2+4y^2} \ dA

= \iint_D \sqrt{1+4(x^2+y^2)} \ dA

= \int^{2 \pi}_{0} \int^{1}_{0}  \sqrt{1+4r^2} \ r \ dr \d \theta

= [\theta]^{2 \pi}_{0} \dfrac{1}{8}\times \dfrac{2}{3}\begin {bmatrix} (1+4r^2)^{\dfrac{3}{2}}\end {bmatrix}^1_0

= 2 \pi \times \dfrac{1}{12}[5^{\dfrac{3}{2}} - 1]

\mathbf{=\dfrac{\pi}{6}[5 \sqrt{5}-1]}

6 0
3 years ago
He vertices of ?ABC are A(2, 8), B(16, 2), and C(6, 2). The perimeter of ?ABC is units, and its area is square units.
iogann1982 [59]

Answer:

Note :

The perimeter is :  AB + BC + CA


AB =√((XB - XA)² + (YB - YA)²) = √((16-2)²+(2-8)²) = √(12²+6²) = √(144+36)=√180

AB = √(36×5) = 6√5 units

same method for :  BC ; CA   ..........


8 0
3 years ago
Read 2 more answers
People are randomly chosen from a group of 7 boys and 5 girls. Determine which scenario is more likely to happen.
andre [41]

Answer:

A

Step-by-step explanation

Well the boys can be chosen again all in a row but the girls cdan't therfore the answer is A

Hope This Was Helpful!

6 0
2 years ago
A seat on a Ferris wheel is level with the center of the wheel.The diameter of the wheel is 200 feet. Suppose the wheel rotated
Zanzabum

Answer: 86.6ft closer to the ground.

Step-by-step explanation:

The diameter of the wheel is 200ft

Then the radius, half of the diameter, is: r = 200ft/2 = 100ft.

Initially, the seat is at the same level that the center of the wheel.

And the distance between the center of the wheel and the bottom is the radius.

Then the initial position is at an angle of 0° from the x-axis. (where the (0,0) of this axis coincides with the center of the wheel=

Now, the wheel rotates 60°. (downwards, so we actually could use -60° measuring from the positive x-axis)

And thinking in this as a triangle rectangle, where the opposite angle is 60°, we can calculate the displacement in the vertical direction as:

y = sin(-60°)*R

y = sin(-60°)*100ft = -86.6ft

So the seat is 86.6ft closer to the ground.

6 0
3 years ago
Read 2 more answers
What is the value of log subscript 4 baseline 16? 1 2 4 8
dimulka [17.4K]

~\log_4 16 \\\\= \log_4 4^2\\\\=2 \log_ 4 4~~~~~~~~~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\\\\=2 \cdot 1~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[ \log_b b =1]\\\\=2

8 0
2 years ago
Other questions:
  • The exponent indicates how many times the blank is used as a factor
    5·2 answers
  • Can somebody please explain how to do this?
    7·2 answers
  • A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 46.0 and 56.
    8·1 answer
  • You paint 1/3 of a wall in 1/4 of an hour. At that rate , how long will it take you to paint one wall
    8·1 answer
  • NEED HELPPP FAST PLZZZZ???!!!??? On a coordinate plane, line A B goes through (negative 4, 0) and (2, negative 3). Point C is at
    8·2 answers
  • Does anyone know if this is a function ?
    12·1 answer
  • What does l.h.m.s.l.d.k.y mean in text?<br> Somebody answer ASAP
    11·1 answer
  • What is the product of 10³ x 4.132?
    10·2 answers
  • You have a cup containing 4 green skittles, 5 red skittles, 7 yellow skittles, and 10 purple skittles. What is the probability o
    7·1 answer
  • What is 6.7 x 192 ÷ 0.051 ?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!