Very easy:
put the 10 and 12 end to end then back off the 7 inches
22-7 = 15
Answer:
x = sqrt (2), y = sqrt (2)
Step-by-step explanation:
Here is how we can approach this problem in a step by step solution:
- Look at what we are given - we know that the triangle is a right triangle (has a square on one of its angles representing 90 degrees), and the hypotenuse (the side opposite 90 degree angle) is 2 units long, and one of the other angles is 45 degrees
- Using this information about angle measurements, we can solve for the third angle using the sum of angles in a triangle equals 180 degrees theorem: 180 - 90 - 45 = 45. After solving, we get that the final angle is 45 degrees
- Now, we know that the angles of the triangle are 90, 45, and 45 degrees. Using the base angle theorem, we know that his triangle must be an isocoles right triangle
- That means that both legs of the triangle must be congruent (x = y)
- Finally, we can use the Pythagorean theorem because this is a right triangle to solve for the missing sides 4 = x^2 + y^2, 4 = 2 + 2, x = sqrt (2) y = sqrt (2)
*Also, if you knew that a 45-45-90 triangle's sides form a ratio of a, a, and sqrt (2) a, you could also use that and substitute in the values to solve. Both ways work! Hope this helps!!
Answer:
r = 11
Step-by-step explanation:
C = 2πr
69.08 = 2(3.14)r
69.08 = 6.28r
r = 69.08/6.28
r = 11
Answer:
Step-by-step explanation:
Harvey rides his bike at an average speed of 12 miles in 1 hour, 24 miles in 2 hours, and so on. Let h be the number of hours he rides and d be distance traveled. Write the equation for the relationship between distance and time in point-slope form.
----
You have three points relating time and distance:
(1,12),(2,24),(3,36)
-----
The slope for your equation would be (24-12)/(2-1) = 12/1 = 12
-------------------------------
The intercept is the distance you would travel in no time; that would be zero.
---------------------------------
The equation is: distance = 12(time)
d = 12t
Answer:
73>78
Step-by-step explanation: 20 +50 + 9= 79 -6 = 73
