Answer:
1. 42.0 meters
2. 16.8
3. 2.3
4. 24.7
5. a. 42.4 b. 10.7
6.4.01
Step-by-step explanation:
1. so by using soh cah toa: tan40 = x/50
multiply both sides by 50 : (tan40)50=x
simplify: 42.0m
2. same concept but different values: tan35=x/24
multiply 24 to both sides: (tan35)24=x
simplify : 16.8m
3. tano^-1 = 20/100
multiply both sides by tan^-1: the angle = tan^-1 (20/100)
Simplify: 2.3 degrees
4. cos o^-1 = 4.6/10
multiply both sides by cos^-1: the angle= cos^-1 (4.6/10)
simplify: 24.7
5. a. tan23= x/100
multiply 100 to both sides: x= 100(tan23)
simplify :42.4
b. you have to find the total height of the building with the antenna and then subtract the height of the building that you found in part a.
tan28=x/100
multiply 100 to both sides : (tan28)100=x
simplify 53.1
subtract the answer to part from 53.1:
53.1-42.4=10.7
1427 = (F) (+ F + 60) (2F - 50) (+ 3F)
<em>Each pair of brackets represents one of the classes - F meaning Freshmen Class. It has been split into brackets for demonstrational purposes - nothing is being multiplied.</em>
F is an unknown number and each other class size is based off of that so we put it in algebraic terms in order to work it out.
1 - Freshmen Class
2 - Sophomore Class (Freshmen Class + 60 more students)
3 - Junior Class ( Twice the size of the Freshmen Class - 50 students)
4 - Senior Class (Three times the size of the Freshmen Class)
All this can be simplified to 7F + 10 = 1427
1427 - 10 = 1417
1417/7 = 202.428....
Is there a mistake in the question?
Following the question with 202 as the answer - the number 1424 is reached
If increased to 203 - 1431 is reached.
The answer shouldn't include half a person.
Answer:
The circumference is similar to the perimeter in that it is the total length needed to draw the circle.
We note the circumference as c.
c = 2πr
or
c = πd
This depends on whether or not you know the radius (r) or the diameter (d)
Let’s calculate one manually, for example.
If r = 6 cm, then the circumference is c = 2π(6) = 12π cm, if writing in terms of π. If you prefer a numerical value, the answer rounded to the nearest tenth is 37.7 cm.
Suppose you only know the diameter? If the diameter is 8 cm, then the circumference is c = π(8) = 8π or 25.1 cm, rounded to the nearest tenth.
Step-by-step explanation:
40 is under the number of training hours and the $1700 is under the pay column.
So for 40 hours of training the person would make $1700.
The answer is D.
