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Cerrena [4.2K]
3 years ago
11

Suppose a rectangle will undergo a rotation about the origin of a coordinate plane and a translation of 6 units down. Which of t

hese is a true statement?
The resulting rectangle will be congruent to the original rectangle regardless of the order of the rotation and the translation.
The resulting rectangle will be congruent to the original rectangle only if the rotation occurs before the translation.
The resulting rectangle will be congruent to the original rectangle only if the translation occurs before the rotation.
The resulting rectangle will not be congruent to the original rectangle regardless of the order of the rotation and the translation.
Mathematics
1 answer:
nikdorinn [45]3 years ago
6 0

Answer: The resulting rectangle will be congruent to the original rectangle regardless of the order of the rotation and the translation.

Step-by-step explanation: Since a dilation is not performed, the shape and size stay the same no matter how it is moved throughout the coordinate plane.

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t hits the square dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular regio
masha68 [24]

Given:

Required:

To find the probability that the dart land will be in the shaded region.

Explanation:

Area of the circle is given by the formula:

A=\pi r^2

Where r = radius

Thus the area of the circular region

\begin{gathered} =(3.14)\times(2)^2 \\ =3.14\times4 \\ =12.56\text{ square in.} \end{gathered}

The area of the square is given by the formula:

=(side)^2

Thus the area of the given square

\begin{gathered} =(6)^2 \\ =36\text{ square in.} \end{gathered}

The probability of an event is given by the formula:

P=\frac{number\text{ of possible outcomes}}{Total\text{ number of outcomes}}

The probability that the dart land will be in the shaded region

=\frac{Area\text{ of the shaded region}}{Area\text{ of the square}}

Thus probability

\begin{gathered} P=\frac{12.56}{36} \\ P=0.3488 \\ P=0.349 \end{gathered}

Final answer:

Thus the probability that the dart land will be in the shaded region is 0.349.

6 0
1 year ago
Please help me asap!
Artemon [7]

Answer:   1. ∠A= 80.75°  2. 41.79 cm^2

Step-by-step explanation:

Since, According to the sines low,

\frac{sin A}{CB} = \frac{sin C}{AB}

Here, CB= 4.1 cm,  AB = 3.3 and ∠ C = 52.6°

\frac{sin A}{4.1} = \frac{sin 52.6}{3.3}

⇒ sin A = 4.1\times\frac{sin 52.6}{3.3}

⇒  sin A =0.98699998308

⇒ A = 80.75°

2. Since, the area of the given figure = Area of the rectangle having dimension 8.3 × 4.2 + Area of the half square of radius 2.1

=34.86 + 6.93

= 41.79 square cm

4 0
2 years ago
Cynthia is constructing a circle inscribed in a triangle. She has partially completed the construction as shown below. What shou
il63 [147K]
I think the answer is A
5 0
3 years ago
Read 2 more answers
20 is what present of 30?
tia_tia [17]
66.6667


20=x/100•30
Solve this equation and you will get your answer (66.6667)
6 0
2 years ago
Write 12.6 as a mixed number with the fraction in simplest form
Naily [24]
Using your knowledge of place value the number is

12 6/10 which then reduces to

12 3/5
6 0
2 years ago
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