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Lana71 [14]
3 years ago
15

Triangle CAT was rotated to create triangle C'A'T'. Describe the transformation using details and degrees.

Mathematics
1 answer:
inysia [295]3 years ago
6 0

Answer:

Triangle CAT was rotated 90 degrees clockwise around the origin.

Step-by-step explanation:

The coordinate points for A and A' are (-3,3) and (3,3). The change from A to A' from quadrant 2 to 1 is a 90 degree rotation in the clockwise direction. Each of the points are equal distance from the origin (0,0) and this is the center of rotation.

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To evaluate 43/2 find A) the square of 4 and then take the cube root. B) the cube of 4 and then take the square root. C) the squ
tatiyna

Answer:

  B) the cube of 4 and then take the square root

Step-by-step explanation:

43/2 = 21.5

___

The answer choices suggest you want ...

  4^(3/2) . . . . . . . appropriate math symbols are very helpful

This can be evaluated several ways:

  4^{\frac{3}{2}}=\sqrt{4^3}=(\sqrt{4})^3=10^{\frac{3}{2}\log{4}}\\\\=8

_____

Since the 3 is in the numerator of the fraction, it represents a cube, not a cube root. Any of the answer choices suggesting cube root is involved are incorrect. (Eliminating those leaves only the correct answer choice.)

4 0
3 years ago
Tamora just made the last of her monthly payments on her loan. She had been making these payments for the past nine years. The l
Law Incorporation [45]
Answer : $3403.53

Detailed Solution: 
<span>principal was 10,675
interest rate was 4.75% per year compounded annually.
additional $939.25 was paid in service charges.
payment on the principal plus interest is shown below: 

pv = 10675
i = .0475/12 = .0039583333... per month.
n = 9 * 12 = 108 months.
fv = 0
pmt = 121.6635... per month
total finance charge would be (108 * 121.6635... + 939.25 - 10675).
that equals to 13139.66 + 939.25 - 10675 = 3403.91 
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4 0
3 years ago
Read 2 more answers
When voting for school mascot 80 students voted for Eagle and 160 students voted for a bulldog rounded to the nearest whole perc
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8 0
3 years ago
What is the solution to the following equation? (4 points) 2(3x − 7) + 18 = 10
konstantin123 [22]

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

2*(3*x-7)+18-(10)=0

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(2 • (3x - 7) + 18) - 10 = 0

Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

6x - 6 = 6 • (x - 1)

Equation at the end of step 3 :

6 • (x - 1) = 0

Step 4 :

Equations which are never true :

4.1 Solve : 6 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.2 Solve : x-1 = 0

Add 1 to both sides of the equation :

x = 1

One solution was found :

x = 1

7 0
3 years ago
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Find the equation of the line that is perpendicular to the line x = −5 and passes through the point (1, π).
Tanzania [10]

The line x = -5 is a vertical line, therefore the line perpendicular to this line is the horizontal line of the form y = a.

We know that it passes through the point (1, π) → x = 1, y = π.

Therefore we have answer: A) y = π.

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3 years ago
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