Answer:
99.0 in²
Step-by-step explanation:
The area (A) of the sector of the circle is calculated as
A = area of circle × fraction of circle
= πr² ×
( where r is the radius )
Here r = 9, thus
A = π × 9² × 
= 81π ×
≈ 99.0 in²
Answer:
Hey there!
You can make a right triangle by the sides 6, 8, and 10. The most famous pythagorean triplet is the 3, 4, 5 triangle. Increasing the size of this triangle by a scale factor of 2 makes the sides 6, 8, and 10.
Hope this helps :)
So we know that in case of a parallelogram the opposite sides and opposite angles are equal
so than given that one angle measure 50 degrees so the opposite angle measure 50 degrees too and so in this way the other two opposite angles measures equal 360 -2*50 =360 -100 = 260 degrees so one to one will be 260/2 = 130 degrees
- in this way bc. given that one side has a length of 10 cm so from this result that the opposite side has 10 cm too
- and from theses above wrote result that one parallelogram can be made with these given dimensions
hope thsi will help you
Y = -1 is a horizontal line going through "-1" on the y axis
Note that the point (1,2) is exactly 3 units of distance above the line y = -1
When we reflect across this line, the point (1,2) will just move straight down to exactly 3 units of space below the line y = -1. Since we are not shifting left or right, the x coordinate of our original point will not change. The y coordinate of our original point will now need to be reduced by 6(3 units down to get to the line of reflection and then 3 more down to get to the image location)
The coordinates of the image point will be (1, -4)
Now we need to do the same process with (1, -4) being reflected across y=1
Note (1,-4) is 5 units of distance below the line y = 1 , so we need to reflect the point upward so that the image point is located exactly 5 units of distance above the line y = 1 Again, the x coordinate does not change, and our final image coordinates are (1, 6)
I guess more simply stated, if you're just looking for the number in the green box it would be " 1 " .. Reflecting points across horizontal lines only result in changes of the "y" coordinate since there is no shift left or right.
Answer:
y = -5/7x - 55/7
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Define
Slope <em>m</em> = -5/7
Random point (-4, -5)
y = -5/7x + b
Step 2: Find y-intercept <em>b</em>
-5 = -5/7(-4) + b
-5 = 20/7 + b
b = -55/7
Step 3: Write linear equation
y = -5/7x - 55/7