Given the endpoints of our diameter, we can use the distance formula to find the distance between the points.
Distance Formula:
(
and 
are the x-values of the coordinates and 
and 
are the y-values of the coordinates)
Inserting our values into the distance formula we can find the length of the diameter:
The diameter of our circle is 6, or choice C.
Reduce a 24 cm by 36 cm photo to 3/4 original size.
The most logical way to do this is to keep the width-to-height ratio the same: It is 24/36, or 2/3. The original photo has an area of (24 cm)(36 cm) = 864 cm^2.
Let's reduce that to 3/4 size: Mult. 864 cm^2 by (3/4). Result: 648 cm^2.
We need to find new L and new W such that W/L = 2/3 and WL = 648 cm^2.
From the first equation we get W = 2L/3. Thus, WL = 648 cm^2 = (2L/3)(L).
Solve this last equation for L^2, and then for L:
2L^2/3 = 648, or (2/3)L^2 = 648. Thus, L^2 = (3/2)(648 cm^2) = 972 cm^2.
Taking the sqrt of both sides, L = + 31.18 cm. Then W must be 2/3 of that, or W = 20.78 cm.
Check: is LW = (3/4) of the original 864 cm^2? YES.
Answer:
1. 4
Step-by-step explanation:
24 - 20, if you add the the square then the rectangle, then subtract
Look up "sum of interior angles of a polygon" on Google. There you will find a formula for predicting the number of interior angles that a given polygone will have. This formula is <span> (n - 2) × 180°, where n represents the number of sides of the polygon in question. Count these sides. Substitute your value for n into this formula. The interior angles of your polygon add up to the result of evaluating this formula. Call this "sum." Then:
"sum" = (the one unknown interior angle) + (the sum of the given (known)) interior angles).</span>
