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borishaifa [10]
3 years ago
14

Triangle ABC is rotated counterclockwise using the origin as the center of rotation. The preimage and image are shown in the gra

ph below.
Which rotation could have taken place?

a 90° rotation

a 135° rotation

a 225° rotation

a 315° rotation

Mathematics
2 answers:
Kisachek [45]3 years ago
7 0

Answer:

im not 100% sure but to me it looks like it could be 225

dolphi86 [110]3 years ago
5 0

Answer:

The correct option is 3.

Step-by-step explanation:

From the given figure it is clear that the vertices of preimage are A(-4,-2), B(-2,1) and C(-2,-2).

Center of rotation is origin, i.e., (0,0).

Triangle ABC is rotated counterclockwise about the origin.

We need to find the angle of rotation.

Draw line segments OC and OC'. From the below figure it is clear that the angle of rotation counterclockwise about origin is

45^{\circ}+90^{\circ}+90^{\circ}=225^{\circ}

Therefore the correct option is 3.

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Answer:

It will take 4.84 years

Step-by-step explanation:

The initial amount that Matt invested was $1669. It means that principal is

P = 1669

It was compounded 12 times per year. So

n = 12

The rate at which the principal was compounded is 2%. So

r = 2/100 = 0.02

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years.

A = 1,844.38

Therefore

1,844.38 = 1669(1+0.02/12)^(12×t)

1,844.38/1669 = (1.0017)^(12t)

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Taking log to base 10 of both sides, it becomes

Log 1.1051 = log 1.0017^(12t)

Log 1.1051 = 12tlog 1.0017

0.043 = 0.00074 × 12t

0.043 = 0.00888t

t = 0.043/0.00888

t = 4.84 years

6 0
2 years ago
Se desconoce el número de alumnos que hay en una clase de repostería, cada alumno elaborará una galleta para cada compañero una
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Answer:

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3 years ago
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Can you simplify 37/80
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Answer:

Step-by-step explanation:

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The top base of a trapezoid is 18 inches and the bottom base is 22 inches. The height of the trapezoid is 8.5 inches. What is th
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