Answer:
4 2/15
Step-by-step explanation:
okay so let's first change 1/3 and 1/5 into the same fraction,
the common denominator, is 15
3 times 5, to get to fifteen,
so
5/15 and 3/15
minus eachother
2/15
6-2 is 4
4 2/15
Answer/Step-by-step explanation:
Recall: SOH CAH TOA
✔️Find <A:
Reference angle (θ) = A
Opposite side = 14 cm
Hypotenuse = 20 cm
Apply SOH:
Sin θ = Opp/Hyp
Substitute
Sin A = 14/20
A = 
m<A = 44° (nearest whole number)
✔️Find <C:
Reference angle (θ) = C
Adjacent side = 14 cm
Hypotenuse = 20 cm
Apply CAH:
Cos θ = Adj/Hyp
Substitute
Cos C = 14/20
C = 
m<C = 46° (nearest whole number)
✔️Find AB:
Reference angle (θ) = C = 46°
Opposite side = AB
Hypotenuse = 20 cm
Apply SOH:
Sin θ = Opp/Hyp
Sin 46° = AB/20
20*Sin 46° = AB
AB = 14.4 cm (one decimal place)
Answer:
0.625lb bag of bird seeds
Step-by-step explanation:
She starts with a 3.5 lb bag,
Then she uses 3/4 of the bag, so find the remaining amount in the bag, which would be 1/4 of the original weight;
1/4 * 3.5
= 1/4 * 7/2
= 7/8
Then she removes 0.25 lbs of weight, hence take away 0.25 (the amount removed) from 7/8 (the current weight of the bag).
7/8 - 0.25
= 7/8 - 1/4
= 7/8 - 2/8
= 5/8
So she has a 5/8lb bag of bird seeds or a 0.625lb bag.
The zip line forms a right triangle with the tree, when elevated
The height of the tree is 35 meters
<h3>How to calculate the height of the tree</h3>
Represent the height of the tree with h.
So, the height h is calculated using the following sine function

Make h the subject
h = 200 * sin(10)
Evaluate the product
h = 35 meters
Hence, the height of the tree is 35 meters
Read more about right triangle at:
brainly.com/question/2217700