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Rashid [163]
3 years ago
6

HELPPP PLSSS 18. A triangle has verticesA(4,3), B(6,9) and C(2, -3). The triangle is rotated 90°

Mathematics
1 answer:
Mariulka [41]3 years ago
8 0

Answer:

  F and H are NOT true

Step-by-step explanation:

Rotation 90° CCW is represented by the transformation ...

  (x, y) ⇒ (-y, x)

Then the rotated coordinates are ...

  A(4, 3) ⇒ A'(-3, 4) . . . . . quadrant II

  B(6, 9) ⇒ B'(-9, 6) . . . . . quadrant II

  C(2, -3) ⇒ C'(3, 2) . . . . . quadrant I

The rotated figure will be congruent to the original, because rotation is a rigid transformation.

__

Consider the answer choices:

  F: (-3, -4) is A' --- NOT true

  G: triangles are congruent --- true

  H: B is in quadrant III --- NOT true

  J: (3, 2) is the coordinates of C' --- true

Both choices F and H are NOT true.

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Alla [95]
2.6 would be the proper answer to this question
4 0
4 years ago
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Original price of a hotel: $240.00 per night.
lawyer [7]

Answer:

$ 929

Step-by-step explanation:

Given: Original price of stay in hotel= $240 per night

           Discount= 25%

           Total taxes and fee = 29%

Now, finding the price of stay for four night.

Using unitary method to solve:

As we know original price of hotel stay per night is $240

∴ Price of four night stay at original price is 240\times 4 = \$ 960

Next, 25% discount given on the price of four night stay.

∴ 960 - \frac{25}{100} \times 960 = 960 - 240

= \$ 720

∴Price of four night hotel stay after discount is \$ 720

Now, 29% taxes and fees been added to the price.

Price of hotel stay after discount + Taxes paid.

720 + ( \frac{29}{100} \times 720) = 720 + 209

= \$ 929

∴ \$ 929 is the price to be paid for four night stay at hotel after discount and taxes.

5 0
4 years ago
A motion sensor has a range of 65 meters as shown. The ultrasonic waves sweeping out from the sensor span an angle of 135°.
VMariaS [17]

The approximate area that is within range of the motion sensor is 4975 square meters

<h3>How to determine the area of the range?</h3>

The figure is not given, however the area of the range can be calculated without the figure.

The given parameters are:

Angle, ⊕ = 135°

Radius, r = 65 meters

The area of the range is calculated using the following sector area

A = \frac{\theta}{360} * \pi r^2

This gives

A = \frac{135}{360} * 3.14 *  65^2

Evaluate

A = 4974.9375

Approximate

A = 4975

Hence, the approximate area that is within range of the motion sensor is 4975 square meters

Read more about sector areas at:

brainly.com/question/16736105

#SPJ1

4 0
2 years ago
In a recent? year, person A and person B had two concert? tours, and together they generated $ 192.9 million in ticket sales. If
Nuetrik [128]

Answer: Person A generates 107.6 millions and person B generates 85.3 millions.

Step-by-step explanation:

Let 'x' millions be the amount generated by person A then the amount generated by person B be 'x-22.3' millions.

Since they both earn together $192.9 millions.

So according to the our assumptions we have,

x+x-22.3=192.9\\\Rightarrow\ 2x=192.9+22.3\\\Rightarrow\ 2x=215.2\\\Rightarrow\ x=107.6

Therefore, the amount generated by person A=107.6 millions

And the amount generated by person B= 192.9 millions - 107.6 millions

=85.3 millions

6 0
3 years ago
Find the function value.<br> f(8) if f(x) = x + 11
Delvig [45]
F(8) is basically saying that x=8, so the problem would be 8+11=19 im pretty sure :)
6 0
3 years ago
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