Step 
In the right triangle ADB
<u>Find the length of the segment AB</u>
Applying the Pythagorean Theorem

we have

substitute the values



Step 
In the right triangle ADB
<u>Find the cosine of the angle BAD</u>
we know that

Step 
In the right triangle ABC
<u>Find the length of the segment AC</u>
we know that




solve for AC

Step 
<u>Find the length of the segment DC</u>
we know that

we have


substitute the values


Step 
<u>Find the length of the segment BC</u>
In the right triangle BDC
Applying the Pythagorean Theorem

we have

substitute the values



therefore
<u>the answer is</u>

Most of those are correct but the ones that are not are, (15+8 divided by 4-6) as division comes first. 6x3-8 as multiplication comes before subtraction. And 2/3+4x2, multiplication comes before addition. So change those couple up and you got it.
Answer:
450 portugals
Step-by-step explanation:
in this question, we are tasked with calculating the number of portugals which are picked by the farmer
Firstly, let the number of portugals picked be p and the number of oranges picked be r.
Thus;
p + r = 600 ••••••••••(i)
Secondly there are 3 times as many oranges as there are portugals;
That would be;
3 * r = p
3r = p. •••••••••(ii)
substitute ii into i
3r + r = 600
4r = 600
r = 600/4
r = 150
P = 3r
p = 3 * 150 = 450