Answer:
5.83095 or √34
Step-by-step explanation:
Find the difference between coordinates:
(x2-x1) = (-1 - -4) = 3
(y2-y1) = (-10 - -5) = -5
Square the results and sum them up:
(3)2 + (-5)2 = 9 + 25 = 34
Now Find the square root and that's your result:
Exact solution: √34 = √34
Approximate solution: 5.831
Answer:
13.9 or 14
Step-by-step explanation:
a^2 + b^2 = c^2
5^2 + 13^2 = c^2
25 + 169 = 197
square root 197 to get c
c = 13.9 (14 rounded up)
Helpful thing to note is that the hyptoenuse will always be longer than your "long side" of the triangle
Answer & Step-by-step explanation:
This can be proven with the SAS theorem (side-angle-side)
With a perpendicular bisector, the line it bisects is cut directly in half. This creates two equal sides:
and it creates two 90° angles:
∠
∠
And because of the reflexive property of congruence:
Side-Angle-Side.
:Done
Answer:
30
Step-by-step explanation:
Look at the bottom line of the chart.
He sold 41 sides of French fries and 40 sides of onion rings.
41 + 40 = 81
Since he sold a total of 81 sides with bacon cheeseburgers, that means he sold a total of 81 bacon cheeseburgers.
We have a ratio:
81 bacon cheeseburgers to 40 sides of onion rings
Now he sold 120 bacon cheeseburgers, so we set up a proportion to find the number of sides of onion rings. Let the unknown number be x.
81 burgers is to 40 sides as 120 burgers is to x sides
81/40 = 120/x
We solve for x by cross multiplying.
81x = 40 * 120
81x = 4800
x = 4800/81 = 59.3
That means he serves 59 sides of onion rings.
Each serving of onion rings is half pound.
59 * 0.5 = 29.5
For 120 bacon cheeseburgers, he serves approximately 29.5 lb of onion rings.
Answer: 30
A circle is a collection of points all of which are on the circumference of the circle. If you use algebra and (x-h)^2 + (y-k)^2 = r^2 and the info contained in the coordinates (x,y) of each city, you can find h, k and r. Then r is the (equal) distance between each city and the center of the circle, where the new tower will be built.
