2473.14286 is the answer. U do 6 times 2876 which is 17256. Then divide by 7 which is 2465.14286. Then add 8 which is <span>2473.14286</span>
Answer:
4
Step-by-step explanation:
Calculate Greatest Common Factor for :
16, 24 and 36
Factorize of the above numbers :
16 =
24 =
• 3
36 =
•
Build a prime factors table
Number of times each prime factor
appears in the factorization of :
Prime Factor Number 16 Number 24 Number 36 G.C.F
(min)
2 4 3 2 2
3 0 1 2 0
GCF = 2²
Greatest Common Factor is :
4
Hope this helps :)
600 - 130 = 470
470 / 25 = 18.8 which rounds to about 19 weeks.
The shadow length of Kyle is 1.2 feet,if a lighthouse is 150 feet tall and cast a shadow of 30 feet. Kyle is standing next to a lighthouse and is 6 feet tall.
Step-by-step explanation:
The given is,
A lighthouse is 150 feet tall.
Cast a shadow of 30 feet.
Kyle is 6 feet tall.
Step:1
Ref the attachment,
From triangle ABC,
tan ∅ =
......................(1)
Where, Opp = AB = 150 feet
Adj = BC = 30 feet
Equation (1) becomes,
tan ∅ = 
= 5
∅ =
5
∅ = 78.69°
∅ is same for both ABC and PQR triangle.
From triangle PQR,
tan ∅ =
......................(1)
Where, Opp = PQ = 6 feet
Adj = QR = x
Equation (1) becomes,
tan 78.96° = 
5 = 
x =
= 1.2
Shadow length of Kyle, x = 1.2 feet
Result:
The shadow length of Kyle is 1.2 feet, if a lighthouse is 150 feet tall and cast a shadow of 30 feet. Kyle is standing next to a lighthouse and is 6 feet tall.
<span>cos(x)/(1+sin(x) )+(1+sin(x))/cos(x) =2sec(x)
Work on the left hand side.
</span>[Common denominator is (1+sin(x))*cos(x)]
cos(x)/(1+sin(x) )+(1+sin(x))/cos(x) <span>
= (cos(x)^2+(1+sin(x))^2)/(</span>(1+sin(x))*cos(x))
=(cos(x)^2+1+sin(x)^2+2sin(x))/((1+sin(x))*cos(x))
=(cos(x)^2+sin(x)^2+1+2sin(x))/((1+sin(x))*cos(x))
=(1+1+2sin(x))/((1+sin(x))*cos(x))
=(2+2sin(x))/((1+sin(x))*cos(x))
=2(1+sin(x))/((1+sin(x))*cos(x))
=2/cos(x)
=2 sec(x) [QED]
<span>
</span>