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lions [1.4K]
3 years ago
6

The following triangle ABC is rotated clockwise about the origin the new coordinates are A'(1,-2) B'(4,6) and C'(-2,3). Which of

the following is measured of the angle of rotation?
Original Angles A(2,1) B(-6,4) C(-3,-2)


A. 45 degrees

B. 90 degrees

C. 180 degrees

D. 270 degrees
Mathematics
2 answers:
Yanka [14]3 years ago
5 0
B.90 because 90 degrees is above the original angel
Setler [38]3 years ago
3 0
The answer is B!!!!!!!
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Write 14/25 29/50 53/100 13/20 and 3/5 in order from greatest to least
Alex73 [517]
13/20,3/5,29/50,14/25,53/100
7 0
3 years ago
The sum of a number and 6% of itself is 42.4. find the number
kvasek [131]

Answer:

40

Step-by-step explanation:

6% of number = 6/100 × x = 6x/100 = 3x/50

Sum of the number and 6% of itself = 42.4

x + (3x/50) = 42.4

(50x+3x)/50 = 42.4

53x = 42.4 × 50

53x = 2120

x = 2120/53

x = 40


8 0
3 years ago
Read 2 more answers
What are the exact solutions of x2 − 5x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 ti
Marat540 [252]

Answer:

x = \frac{5 + \sqrt{53}}{2}  or  x = \frac{5 - \sqrt{53}}{2}

Step-by-step explanation:

Given

x^2 - 5x - 7 = 0

Required

Solve for x using:

x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}

First, we need to identify a, b and c

The general form of a quadratic equation is:

ax^2 + bx + c = 0

So, by comparison with x^2 - 5x - 7 = 0

a = 1     b = -5      c = -7

Substitute these values of a, b and c in

x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}

x = \frac{-(-5) \± \sqrt{(-5)^2 - 4 * 1 * -7}}{2 * 1}

x = \frac{5 \± \sqrt{25 +28}}{2}

x = \frac{5 \± \sqrt{53}}{2}

Split the expression to two

x = \frac{5 + \sqrt{53}}{2}  or  x = \frac{5 - \sqrt{53}}{2}

To solve further in decimal form, we have

x = \frac{5 + 7.28}{2}  or  x = \frac{5 - 7.28}{2}

x = \frac{12.28}{2}  or  x = \frac{-2.28}{2}

x = 6.14 or x = -1.14

4 0
3 years ago
2. The 7th term of an A.P is 27 and the 12th term is 47, what is the sequence?
Vera_Pavlovna [14]

Answer:

<h2>3 + 4(n - 1)</h2>

Step-by-step explanation:

let r be the common differenc of the sequence

Term 12 - Term 7 = (12 - 7)r

then

47 - 27 = 5r

then

20 = 5r

then

r = 4

term 7 = term 1 + (7 - 1)r

then

27 = term 1 + 6r = term 1 + 24

then

Term1 = 27 - 24 = 3

<em><u>therefore </u></em>

the standard explicit formula of the sequence is :

term 1 + (n - 1)r = 3 + 4(n - 1)

8 0
3 years ago
A bank account has a beginning of 560.00. After 6 months, the balance in the account has increased to 572.60. What interest rate
MaRussiya [10]

This is tricky because we are given the interest rate for the year but the problem is figureing the interest for 6 months or 1/2 year. We will have to double the difference before solving for the yearly interest.

572.60 - 560.00 = 12.60 interest added for 6 months x 2 = 25.20 for 12 months

(This problem assumes the interest will stay the same the next 6 months)

We need to find what percent 25.20 is to our original balance.

25.20/560 = x / 100

2520 = 560x

x = 4.5 percent interest

Check .045 x 560.00 = 25.20 interest in one year (or 12.60 in 6 months)

4 0
4 years ago
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