9. What is the difference between an isometric transformation and one that is not isometric? Provide examples to illustrate at least two isometric transformations and at least one transformation that are not isometric.

Answers

Answer 1

Answer: An isometric transformation is a transformation of the objects position, without changing the object itself. There are three types of isometric transformation; translation, reflection, and rotation. Nonisometric transformations change and alter the dimension or shape of an object, like enlargement.

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There are 3 times as many pears are oranges. If a group of children receive 5 oranges each,there will be no left over.If the same group of children receive 8 oranges each, there will be 21 pears left over. How many oranges are there?

Answers

There are 15 oranges

Solution:

Let "x" be the number of oranges

Let "y" be the number of pears

Let "c" be the number of children

There are 3 times as many pears are oranges

Number of pears = 3 times the number of oranges

y = 3x -------- eqn 1

If a group of children receive 5 oranges each, there will be no left over

So, "c" children receives 5 oranges each, there will be no left over

number of oranges = 5(number of children)

x = 5c ------- eqn 2

If the same group of children receive 8 oranges each, there will be 21 pears left over

number of pears = 8 oranges(number of children) + 21

y = 8c + 21

Substitute eqn 1

3x = 8c + 21 ---- eqn 3

Substitute eqn 2

3(5c) = 8c + 21

15c - 8c = 21

7c = 21

c = 3

Substitute c = 3 in eqn 2

x = 5(3)

x = 15

Thus there are 15 oranges

Answer:

15 orangs

Step-by-step explanation:

There are 15 oranges

Solution:

Let "x" be the number of oranges

Let "y" be the number of pears

Let "c" be the number of children

There are 3 times as many pears are oranges

Number of pears = 3 times the number of oranges

y = 3x -------- eqn 1

If a group of children receive 5 oranges each, there will be no left over

So, "c" children receives 5 oranges each, there will be no left over

number of oranges = 5(number of children)

x = 5c ------- eqn 2

If the same group of children receive 8 oranges each, there will be 21 pears left over

number of pears = 8 oranges(number of children) + 21

y = 8c + 21

Substitute eqn 1

3x = 8c + 21 ---- eqn 3

Substitute eqn 2

3(5c) = 8c + 21

15c - 8c = 21

7c = 21

c = 3

Substitute c = 3 in eqn 2

x = 5(3)

x = 15

Thus there are 15 oranges

A four-sided shape with the top side labeled as 10.2 cm. The height is labeled 5 cm. A portion of the base from the perpendicular to a vertex is labeled 4 cm. The portion of the base from the perpendicular to the right vertex is 6.2 cm.What is the area of the figure?

25.5 cm2
45.5 cm2
51 cm2
56.1 cm2

Answers

The area of the figure is 51 cm².

Given that,

A four-sided figure with the top side labeled as 10.2 cm.

The height is labeled 5 cm.

This shape is a trapezium.

Total length of the base = 6.2 + 4 = 10.2 cm

Area of the figure = 10.2 × 5 = 51 cm²

Hence the required area of the figure is 51 cm².

Learn more about Area here :

brainly.com/question/29266824

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An architect is building a model of tennis court for a new client. the court is 7 inches wide and 13 inches long an official tennis court is 32 feet wide. what is the length of a tennis court?

Answers

Answer: 59.4285714 feet approximately

Work Shown

(7 inches)/(32 feet) = (13 inches)/(x feet)

7/32 = 13/x

7x = 32*13

7x = 416

x = 416/7

x = 59.4285714 approximately

Round this value however your teacher instructs.

Answer:

Length of official tennis court is 713.14 in or 59.43 ft

Step-by-step explanation:

In order to find the length of an official tennis court, we can use the concept of proportions.

Let's set up a proportion to solve for the length of the tennis court.

Given:

Model tennis court width = 7 inches
Model tennis court length = 13 inches
Official tennis court width = 32 feet = 32*12 = 384 inches

Let x be the length of the official tennis court in feet.

Proportion:

$\sf \frac{\textsf{Model width }}{\textsf{Official width }}=\frac{\textsf{ Model length }}{\textsf{Official length}}$

$\sf (7 in )/(384in)= (13 in)/( x ft)$

$\sf x ft = (13in*384\: in)/(7\: in) \approx 713.14\: in$

The length of an official tennis court is approximately 713.14 in or 59.43 ft

If you watch 3 hours of television, What will the ratio be

Answers

Answer:

First part is 1:2 because there is 1 hour to every 2 shows. Second part is 3:6 shows because 3 hours is 6 shows. Hope this helps, please rate brainiest answer!

I think it could be possibly 1:9 because there is 1 hour to every 2 shows

$800 is deposited in an account that pays 9% compounded semi-annually. Find the balance after 4 years.

Answers

The formula for compound interest is the following:

A=P(1+r/n)^nt
A=accumulated amount (what we're looking for)
P=Principal amount (initial amount). $800 in this case
r=rate. 0.09 in this case which we get from converting 9% to decimal by dividing by a 100.
n=number of times interest is compounded. In this case semi-annually which means 2
t=time. In this case 4 years
Let's calculate:
A=800(1+0.09/2)^(2*4)
A=800(1+0.045)^8
A=800(1.045)^8
A=800(1.42210061284)
A=1137.68049027
Let's round to the hundredth place (to represent cents) since the amount represents money.
Answer=The balance after 4 years will be $1,137.68

Answer:

Principal = $ 800

Time = 4 years

Rate of Interest = 9% compounded Semi Annually

$=(9\pr)/(2)$