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Damm [24]
3 years ago
14

Please show your work

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
3 0

Answer:

i think 1.255x10 let me know if this is wrong

Step-by-step explanation:

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(0.7) exponent 2 please help!
ratelena [41]
The answer is 0.49
0.7 x 0.7 = 0.7^2
7 0
3 years ago
Maggie graphed the image of a 90 counterclockwise rotation about vertex A of . Coordinates B and C of are (2, 6) and (4, 3) and
Lemur [1.5K]

Answer:

A(2,2)

Step-by-step explanation:

Let the vertex A has coordinates (x_A,y_A)

Vectors AB and AB' are perpendicular, then

\overrightarrow {AB}=(2-x_A,6-y_A)\\ \\\overrightarrow {AB'}=(-2-x_A,2-y_A)\\ \\\overrightarrow {AB}\perp\overrightarrow {AB'}\Rightarrow \overrightarrow {AB}\cdot \overrightarrow {AB'}=0\Rightarrow (2-x_A)(-2-x_A)+(6-y_A)(2-y_A)=0

Vectors AC and AC' are perpendicular, then

\overrightarrow {AC}=(4-x_A,3-y_A)\\ \\\overrightarrow {AC'}=(1-x_A,4-y_A)\\ \\\overrightarrow {AC}\perp\overrightarrow {AC'}\Rightarrow \overrightarrow {AC}\cdot \overrightarrow {AC'}=0\Rightarrow (4-x_A)(1-x_A)+(3-y_A)(4-y_A)=0

Now, solve the system of two equations:

\left\{\begin{array}{l}(2-x_A)(-2-x_A)+(6-y_A)(2-y_A)=0\\ \\(4-x_A)(1-x_A)+(3-y_A)(4-y_A)=0\end{array}\right.\\ \\\left\{\begin{array}{l}-4-2x_A+2x_A+x_A^2+12-6y_A-2y_A+y^2_A=0\\ \\4-4x_A-x_A+x_A^2+12-3y_A-4y_A+y_A^2=0\end{array}\right.\\ \\\left\{\begin{array}{l}x_A^2+y_A^2-8y_A+8=0\\ \\x_A^2+y_A^2-5x_A-7y_A+16=0\end{array}\right.

Subtract these two equations:

5x_A-y_A-8=0\Rightarrow y_A=5x_A-8

Substitute it into the first equation:

x_A^2+(5x_A-8)^2-8(5x_A-8)+8=0\\ \\x_A^2+25x_A^2-80x_A+64-40x_A+64+8=0\\ \\26x_A^2-120x_A+136=0\\ \\13x_A^2-60x_A+68=0\\ \\D=(-60)^2-4\cdot 13\cdot 68=3600-3536=64\\ \\x_{A_{1,2}}=\dfrac{60\pm8}{2\cdot 13}=\dfrac{34}{13},2

Then

y_{A_{1,2}}=5\cdot \dfrac{34}{13}-8 \text{ or } 5\cdot 2-8\\ \\=\dfrac{66}{13}\text{ or } 2

Rotation by 90° counterclockwise about A(2,2) gives image points B' and C' (see attached diagram)

8 0
3 years ago
The circumference of a circle is 11 pi inches.
ser-zykov [4K]

9514 1404 393

Answer:

  30.25π square inches

Step-by-step explanation:

You can use the formula for area in terms of circumference:

  A = C²/(4π)

  A = (11π)²/(4π) = (121/4)π = 30.25π . . . square inches

_____

You may be expected to find the radius first:

  C = 2πr   ⇒   r = C/(2π) = 11π/(2π) = 5.5 . . . inches

Then use the area formula:

  A = πr² = π(5.5 in)² = 30.25π in²

8 0
3 years ago
a rectangular field is 0.45 kilometers long and 0.3 kilometers wide what is the area of the field in square meters?
bekas [8.4K]

Answer:135000

Step-by-step explanation:

5 0
3 years ago
A large pot holds 12 gallons of soup Jared has 1-pint containers of chicken broth. Complete the table to help you find the numbe
Rina8888 [55]
There is 8 pints in 1 gallon so 12x8=96
96 pints to fill a 12 gallon pot
7 0
3 years ago
Read 2 more answers
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