Answer:
Step-by-step explanation:
we know that if we are given any data than total value of data=360°
Here, Total value of data =43+48+37+24 units
=152 units
152 units=360°
Hence, the measure of central angle of 43=43×(360/152)=101.84°≈102°.
measure of central angle of 48=48×(360/152)=113.68°≈113°.
measure of central angle of 37=37×(360/152)=87.63°≈88°.
measure of central angle of 24=24×(360/152)=56.84°≈57°.
The percent of change is 0.3% increase of .3%
Answer: Jaclyn spent $48
Step-by-step explanation:
3x - 34 = 14
3x = 14+34
X = 48/3 = 16
Answer:
Step-by-step explanation:
1) Collect like terms.
2) Simplify.
Assume its true for n = k
then 8 + 16 + 24+... + 8k = 4k(k + 1)
sum for k+1 terms = 4k(k + 1) + 8(k + 1)
= 4(k + 1)( (k + 2)
= 4(k + 1)( k + 1 + 1)
Now this is the same as the formula for k terms with the k being replaced by k + 1 . So if the formula is correct for k terms then its must also be correct for k+1 terms
Also its true for k = 1 because 8 = 4(1)(1 + 1) so its true for k = 2,3 4 and so
on. - for all values of k ( n).
This compleres the proof.