Answer:
height ≈ 31 ft
Step-by-step explanation:
The illustration below will form a right angle triangle. He is standing 17 ft away from the base of the statue. The angle of elevation from the ground to the top of the statue is 61°. The height of the statue can be computed below.
adjacent side of the triangle = 17 ft
opposite side = a
Using SOHCAHTOA principle
tan 61° = opposite/adjacent
tan 61° = a/17
cross multiply
a = 17 tan 61°
a = 17 × 1.80404775527
a = 30.6688118396
a ≈ 31 ft
Answer:
1/3
Step-by-step explanation:
If 6/18 of the cartons are vanilla that means that those are the odds of you picking a vanilla at random
6/18=1/3
Answer:
Dave is 18 and his sister is 6.
Step-by-step explanation:
If you do 38 -7x2 you can work out the combined ages of them now which is 24 (you have to do 7x2 because there are two of them and its seven years in the future). Then you can work out their ages using a ratio. Dave’s age : his sister’s age is 3:1 so if you divide 24 by 4 (3+1 = 4 so your can work out one portion of their age) you can find out how old the sister is which is 6. Times that by 3 to get Dave’s age which is 18. A formula for this (where x is his sisters age) would be 3x=38-7x2 which cancels down to 6.
Answer: 28
Step-by-step explanation:
The mean of 15 numbers = 12
Then , the sum of the numbers = 12x15 = 180
Let the extra number included be 
, then
The new sum = 
And the new total number will increase from 15 to 16
new mean = 13 , so we have :
therefore , the extra number is 28
