It's shifted up two units. You can tell this by mapping the point of change as the origin in the original graph and (0,2) in the second graph.
Answer:
21) 12 cm
22) 5.9 cm
Step-by-step explanation:
21) The base is 10, and if the other two sides are congruent and the perimeter is 36, we can figure out with simple algebra that the sides are 13 cm long.
Half of 10 is 5, so we can use the pythagorean theorem.
5^2+x^2=13^2
Rearranging the variables we have 169-25=x^2
144=x^2
x can be plus or minus 12, but since negative length is impossible we find that x is positive 12 cm.
22) We want to use sine, because we have opposite and hypotenuse. A simple and easy way to memorize this is the SohCahToa method. If we have opposite (O) and hypotenuse (H) we have OH. Soh has the letters O and H, and the S means we should use sine.
sine 36=a/10
Plug this into a calculator or desmos scientific calculator to get a=5.9
Answer:
Answer is 16/12
Step-by-step explanation:
Tan is Opposite by Adjacent. the opposite side is 16, adjacent side is 12 and hypotenuse is 20.
so O/A= 16/12
Step 1) Add up the three given angles: 125+109+83 = 317
Step 2) Subtract the result (found in step one) from 360
360 - 317 = 43
The reason for the 360 is because for any four-sided polygon, the angles always add up to 360 degrees.
The answer is 43
Hi there!
Since a decimal is a portion of 1 we can simply put a 100 in the denominator to form it into a fraction.
By doing this, we get the fraction 29/100.
Since there is no simplifying we can do for the fraction this is it's final form!
Your answer would be 0.29 = 29/100.