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3 years ago

Triangle PQR is shown below.

Mathematics

1 answer:

Katarina [22]3 years ago

4 0

Answer: OPTION B.

Step-by-step explanation:

By definition, reflection is a kind of transformation in which the lengths do not change.

As you can see in the figure, the length of PR is 8 units. Then, keeping on mind the definition, when the triangle PQR was reflected across the y-axis, the triangle P'Q'R' obtained has the same lenghts as the triangle PQR.

Therefore, you can conclude that the lenght P'R' would be: 8 units.

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Find the distance CD rounded to the nearest tenth C=(10,-1) and D=(-6,3)

Fynjy0 [20]

Answer:

CD = 16.5

Step-by-step explanation:

To find the distance between two points, use this formula: $L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }$

point C can be info set 1: (10, -1) x₁ = 10 y₁ = -1

point D can be info set 2: (-6, 3) x₂ = -6 y₂ = 3

Substitute the information into the formula

$L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }$

$CD = \sqrt{(-6 -10)^{2}+(3 -(-1))^{2} }$ Simplify inside each bracket

$CD = \sqrt{(-16)^{2}+(4)^{2} }$ Square the numbers

$CD = \sqrt{256+16 }$ Add inside the root

$CD = \sqrt{272}$ Enter into calculator

$CD = 16.5$ Rounded to the nearest tenth, the first decimal

The distance CD is 16.5.

4 0

3 years ago

You are making a welding fixture and must cut down a length of copper tubbing from 15 1/8 inches to 8 3/4 inches. If the leftove

fgiga [73]

Answer: 51/8 inches

Step-by-step explanation:

Since you must cut down the length of copper tubbing from 15 1/8 inches to 8 3/4 inches, the leftover piece will be:

15 1/8 - 8 3/4

Change the mixed fraction to improper fraction.

121/8 - 35/4

The LCM will be 8

( 121 - 70 )/8

51/8 or 6.375 inches

Therefore, the leftover piece will be 51/8 inches long

7 0

2 years ago

3^5 equals 243. Explain how to use that fact to quickly evaluate 3^6.

OlgaM077 [116]

Answer:

Simply multiply 243 with 3.

Step-by-step explanation:

3^6=729

243*3=729

4 0

2 years ago

Read 2 more answers

A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. Four hu

castortr0y [4]

Answer: h = 120 ft; w = 80 ft

A = 9600 ft^2

Step-by-step explanation: Let h and w be the dimensions of the playground. The area is given by:

A = h*w (eq1)

The total amount of fence used is:

L = 2*h + 2*w + w (eq2) (an extra distance w beacuse of the division)

Solving for w:

w = L - 2/3*h = 480 - 2/3*h (eq3) Replacing this into the area eq:

We derive this and equal zero to find its maximum:

Solving for h:

h = 120 ft. Replacing this into eq3:

w = 80ft

Therefore the maximum area is:

A = 9600 ft^2

5 0

2 years ago

Which pair of numbers is relatively prime? A. 42 and 77 B. 34 and 55 C. 45 and 102 D. 99 and 123

leonid [27]

Two pair of numbers are said to be relatively prime if there is no integer greater than 1, that divides them both.

Consider the given pair of the numbers to identify which pair is relatively prime.

1. Consider 42 and 77

7 is the number which divides 42 and 77 both. Therefore, they are not relatively prime.

2. Consider 34 and 55

Since, there is no number greater than 1, which divides both the numbers. So, they are relatively prime numbers.

3. Consider 45 and 102

3 is the number divides 45 and 102 both. Therefore, they are not relatively prime.

4. Consider 99 and 123

3 is the number divides 99 and 123 both. Therefore, they are not relatively prime.

Therefore, Option B is the correct answer.

8 0

2 years ago