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Rashid [163]
2 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]2 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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S(t) = sin(πt/6) + cos(πt/6)
Velocity = s'(t) = π/6 (cos(πt/6) - sin(πt/6))

When velocity = 0
cos(πt/6) - sin(πt/6) = 0
cos^2(πt/6) -2cos(πt/6) sin(πt/6) + sin^2(πt/6) = 0
1 - 2cos(πt/6) sin(πt/6) = 0
1 - sin(πt/3) = 0
sin(πt/3) = 1
πt/3 = arcsin(1) = π/2
t = 1.5

acceleration = s''(t) = -(π/6)^2 (cos(πt/6) + sin(πt/6))
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7 0
3 years ago
a certain test is worth 135 points. how many points (rounded to the nearest point) are needed to obtain a score of 85%?
yanalaym [24]

To obtain a score of 85% on a test worth 135 points, one needs to get 115 points. By using proportions, we get the required value.

<h3>How to write proportions?</h3>

A proportion is defined as an equality between two ratios.

Consider two ratios a:b and c:d. Then, the proportion we can write,

a: b = c : d

Then, the simplification we have for this proportion is

a/b = c/d or ad = bc

<h3>Calculation:</h3>

It is given that, a certain test is worth 135 points.

One to get 85% on this test, he/she needs to get X number of points.

So, we can write the proportions as

X : 135 = 85 : 100

⇒ X/135 = 85/100

⇒ X = 85/100 × 135

∴ X = 114.75 ≅ 115 points

Learn more about proportions at the following link:

brainly.com/question/140018

#SPJ4

7 0
10 months ago
In a plane, line b is parallel to line f, line f is parallel to line g, and line h is perpendicular to line b. Which of the foll
dexar [7]

Answer: f is Parralel to g

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The rabbit population in a certain area is 500​% of last​ year's population. There are 1,100 rabbits this year. How many were th
andreev551 [17]

Answer:

5,500 rabbits

Step-by-step explanation:

500% of something is 5 times the original amount. 1,100 rabbits times 5 equals 5,500.

8 0
3 years ago
What equation will give the perimeter of the figure? HELP HELP HELP
nata0808 [166]

Answer:

(2l + 2w) + (a + b + c)

Step-by-step explanation:

The formula for the perimeter of a rectangle is

P = 2l + 2w

so if you substitute, it becomes

P = 2(12) + 2(2)

= 24 + 4

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For the perimeter of a triangle the correct formula would be

P = a + b + c

The missing side in the triangle is 3 because 15 - 12 is 3.

If you substitute, it becomes

P = 2 + 3 + 6

P = 11

If we add both perimeters together we get the full perimeter of the figure which is

28 + 11 = 39

I am not sure if you wanted the answer as well but just in case :)

4 0
3 years ago
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