The carpenter makes 1/4 of the job per hour.
The assistant makes 1/6 of the job per hour.
When they work together, they make 1/4 + 1/6 = 6/24 + 4/24 = 10/24 = 5/12 of the job each hour.
Thus, it will take 12/5 = 2 2/5 hours = 2 hours and 24 minuets for them to finish the job working together.
Answer:
2.
sinα=√3/(2√7)
cosα=5/(2√7)
tanα=5/√3
cscα=(2√7)/√3
secα=(2√7)/5
*note* you can simplify the above further (by rationalizing them), but I think it's probably fine to leave them as is *
3.) g15.9
4.)25.4
5.) 70.8
6.) 36.4
Step-by-step explanation:
Cot is the inverse of toa so cot= adj/opp
This means the traingle's adjacent side is √3 and its opposite is 5
with this information let's figure out the hypotonouse
√3²+5²=c²
3+25=c²
28=c²
√28=c
√28=2√7
which means the triangle's
opposite= √3
hypotonous= 2√7
Adjacent= 5
With all of this we can just plug in the numbers to find the missing information (where α=angle or theta)
sinα=√3/(2√7)
cosα=5/(2√7)
tanα=5/√3
cscα=(2√7)/√3
secα=(2√7)/5
For this one we have the adjacent and need the opposite
we will use TOA
Tan(25)=x/34
34tan(25)=x
x=15.9
4.) For this one we have the adjacent but need the hypotonouse
we will use CAH
cos(48)=17/x
17/cos(48)=x
x=25.4
5.) for number 5 we have the oppsite and hypotonouse and so we'll use SOH
sin(α)=17/18
α=70.8
6.) For this one we have the opposite and adjacent and so we'll use TOA
Tan(α)=(31/42)
α=36.4
Answer:
$1769.06
Step-by-step explanation:
The sum of Mia's three highest salaries is ...
$92,000 +94,800 +96,250 = $283,050
so the average is ...
$283,050/3 = $94,350
Her pension is then ...
0.01875 × $94,350 = $1769.06
_____
<em>Additional comment</em>
This is equivalent to the total of those salaries, divided by 160.
T/3 × 0.01875 = T × (0.01875/3) = T × 0.00625 = T/160
Sometimes, there are simpler ways to calculate things like this.
