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Sonja [21]
2 years ago
15

Select all the ways the rectangle could have been rotated to get from Frame 1 to Frame 2. 40 degrees clockwise 40 degrees counte

rclockwise 90 degrees clockwise 90 degrees counterclockwise 140 degrees clockwise 140 degrees counterclockwise Lesson 3
Mathematics
1 answer:
Klio2033 [76]2 years ago
8 0

Answer:

40 degrees clockwise

140 degrees counterclockwise

Step-by-step explanation:

The rectangle is rotated in Figure B. The angle of rotation is 40 degrees. If we rotate a rectangle at an angle of 40 degrees clockwise then wit will be at the position as shown in figure B. The 90 degrees angle is perpendicular angle. Rectangle will not reach the desired position. If we rotate the rectangle at 140 degrees counterclockwise this will be the figure B representation. The rotation to 90 degree counterclockwise is either not suitable for the desired rectangle position.

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Which of the following could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse
Aliun [14]

Answer:

Option C is correct.

Ratio of longer leg to hypotenuse is;  \sqrt{3} : 2

Step-by-step explanation:

This is the special right angle triangle 30°-60°-90°  as shown below in the figure.

  • The side opposite the 30° angle is always the shortest because 30 degrees is the smallest angle.
  • The side opposite the 60° angle will be the longer leg, because 60 degrees is the mid-sized degree angle in this triangle.
  • Finally , the side opposite the 90° angle will always be the largest side(Hypotenuse) because 90 degrees is the largest angle.

In 30°−60°−90° right triangle,

  • the length of the hypotenuse is twice the length of the shorter leg,also
  • the length of the longer leg is \sqrt{3} times the length of the shorter leg.

Then:

the sides are in proportion i.e,  1:\sqrt{3} :2

Therefore, the ratio of the length of the longer leg to the length of its hypotenuse is:  \sqrt{3} : 2



7 0
2 years ago
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Hailey is shopping at a department store during a 20% off everything sale. She also has a coupon for $5.00 off the sale amount.
Kipish [7]

Possible inequality:

= x\leq 87.50

4 0
2 years ago
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Marc mows lawns for $25 each lawn, plus $5 for every hour he spends mowing. The equation for his total earnings per lawn is y =
Mila [183]

Answer:

<h2>The flat pay $25 represents the intercept</h2>

Step-by-step explanation:

To answer this question we need to first understand and compare it with the equation of straight line.

i.e y= mx+c  which is the equation of line

where m= slope

           y= dependent variable

           x= independent variable

          c= intercept

Given

y= 25+5h

comparing both expression we can see that

25 corresponds to c which is the intercept

6 0
2 years ago
Work out the value of (6.8x10^2) x (1.3x10^-3)
nikitadnepr [17]

Answer:

0.884

Step-by-step explanation:

6.8x10^2 = 680

1.3x10^-3 = 0.0013

680 X 0.0013 = 0.884

6 0
2 years ago
Convert the angle \theta=\dfrac{29\pi}{15}θ= 15 29π ​ theta, equals, start fraction, 29, pi, divided by, 15, end fraction radian
iren [92.7K]

Answer:

348 degrees

Step-by-step explanation:

29 pi /15  to degrees

To change from radians to degrees, multiply by 180/pi

29 pi /15 * 180/pi

29 * 180/15

348

8 0
2 years ago
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