Answer:
94
Step-by-step explanation:
Average = Total / Number of Data

You have a total of 280 points after 4 quizzes.
4+4=8 quizzes in total
Total you need for average to be 82

Number of points you need to hit required:

You need 376 points in total for the next 4 quizzes.

You need an average of 94 points on the next 4 quizzes.
17ft, you go across x-axis till 10(years) and vertically look up to the line which co-ordinates x-axis with y-axis and look up the height(ft)
The above statement is true meaning cos(π/₂-x)=sin(x)
Step-by-step explanation:
We know that sine and cosine function are mutual cofunctions.
Hence this would mean that these two functions are complimentary of each other meaning cos(π/₂-x) = sin(x)
This can be verified mathematically by assuming “x” as 30°
Hence Cos (π/₂-30°) = cos 60°= 0.5 (from trigonometric table values)
Similarly Sin 30°= 0.5 (from trigonometric table values)
This can be proved through using the formula
Cos(A-B)= Cos A.Cos B + Sin A.Sin B
Here A=90° and b=x°
Putting the values we get (it is to be remembered that cos 90°=0 and sin 90°=1)
Cos 90°.cos x+ sin 90.sin x
0+sinx= sinx
Hence it is proved that cos(π/₂-x)=sin(x)
Answer:
a = 12.93
Step-by-step explanation:
Convert to decimal: 12 1/3 = 12.3
Pythagoras (a^2 = b^2 + c^2):
4^2 = 16
12.3^2 = 151.29
16+151.29 = 167.29
a = √167.29
a = 12.93 (rounded to two decimal places)
Answer:
8
Step-by-step explanation:
4-2=2
2x9=18
18+6=24
24/4=6
6+2=8
=8