Determine a series of transformations that would map polygon ABCD onto polygon A’B’C’D’?

Match the equation with the step needed to solve it.

viva [34]

1) Subtract 2m
2) Subtract m
3) Add 1
4) Subtract 2
5) Add 2
6) Subtract 1

8 0

3 years ago

Match the term on the left with its image or description on the right. diameter A) a piece of the circumference of a circle circ

prohojiy [21]

Answers:
Diameter - B)
Circumference - F)
Radius - C) or E)*
Secant - E) or C)*
Concentric circles - D)
Arc - A)

* Please, note that you described option C and option E with the same exact words. One of the two is supposed to be different.

Let's see the definition of each term of the list on the left in order to find the right description:

Diameter = any segment connecting two points on a circle passing through its center. Therefore, the correct description is B) a segment between two points on a circle that passes through its center.

Circumference = length of the distance around the circle (it's a sort of perimeter of the circle). Therefore, the correct description is F) the distance around a circle

Radius = constant distance from the center to any point on the circle. Therefore, the correct description is C/E) a line segment connecting the center C and a point B on the circle.

Secant = a line that intersects a circle at any two points. Therefore the correct description is E/C) Circle A and a line segment connecting the points B and C which are both on the circle.

Concentric circles = two circles positioned such as the center of the first one coincides with the center of the second one. Therefore the correct description is D) Two circles that share the same center.

Arc = part of the curve along the perimeter of a circle. Therefore, the correct description is A) a piece of the circumference of a circle.

5 0

3 years ago

Read 2 more answers

The circumference of the circle is increasing at a rate of 0.5 meters per minute. What's the rate of change of the area of the c

morpeh [17]

Answer:

The rate of change of the area of the circle when the radius is 4 meters = 2 meters²/minute ⇒ answer 4

Step-by-step explanation:

* Lets revise the chain rule in the derivative

- If dy/da = m and dx/da = n, and you want to find dy/dx

∴ dy/dx = dy/da ÷ dx/da = m ÷ n = m/n

* In our problem we have

- The rate of increasing of the circumference dC/dt = 0.5 meters/minute

- We need the find the rate of change of the area of the circle

when the radius is 4 meters

- The common element between the circumference and the area

of the circle is the radius of the circle

* We must to find dC/dr and dA/dr and use the chain rule to

find dA/dr

- Find the rate of change of the radius dr/dt

∵ C = 2πr

- Find the derivative of C with respect to r

∴ dC/dr = 2π ⇒ (1)

∵ dC/dt = 0.5 meters/minute ⇒ (2)

- Divide (1) by (2) to get dr/dt by using chain rule

∵ dC/dt ÷ dC/dr = 0.5 ÷ 2π

∴ dC/dt × dr/dC = 0.5 × 1/2π ⇒ cancel dC together and change

0.5 to 1/2

∴ dr/dt = 1/2 × 1/2π = 1/4π ⇒ (3)

- Find the rate of change of the area dA/dt

∵ A = πr²

- Find the derivative of A with respect to r

∴ dA/dr = 2πr

∵ r = 4

∴ dA/dr = 2π(4) = 8π ⇒ (4)

- Multiply (4) by (3) to get dA/dt by using chain rule

∵ dA/dr × dr/dt = 8π × 1/4π ⇒ divide 8 by 4 and cancel π

∴ dA/dt = 2 meters²/minute

* The rate of change of the area of the circle when the radius is

4 meters = 2 meters²/minute

3 0

3 years ago

Math question please show work due today last day to submit Assignments or I fail please help

Aleksandr [31]

Answer:

The polygons are similar.

Step-by-step explanation:

By definition, the corresponding sides and angles of similar polygons must be in some constant proportion.

Therefore, we can find the ratio between corresponding sides to see if that ratio is maintained.

The side marked 3 cm in the smaller figure corresponds with the side marked 3.75 cm in the larger figure. This proportion is $\frac{3}{3.75}$ .

The side marked 5 in the smaller figure corresponds with the side marked 6.25 cm in the larger figure. This proportion is $\frac{5}{6.25}$ .

If these polygons are similar, these proportions must be equal.

$\frac{3}{3.75}=\frac{5}{6.25},\\0.8=0.8\:\checkmark$

Checking, we see that these proportions are equal, and therefore the polygons are similar.

6 0

2 years ago

Please help

meriva

Answer:

Step-by-step explanation:

we would apply the law of Cosines which is expressed as

a² = b² + c² - 2abCosA

Where a,b and c are the length of each side of the triangle and A is the angle corresponding to a. Likening the expression to the given triangle, it becomes

q² = p² + r² - 2(p × r)CosQ

q² = 12² + 6² - 2(12 × 6)Cos92

q² = 144 + 36 - 2(72)Cos92

q² = 180 - 144 × - 0.0349

q² = 180 + 5.0256

q² = 185.0256

q = √185.0256

q = 13.6 to the nearest integer

8 0

4 years ago

Read 2 more answers