Answer: they have
et n = number of nickels
Let d = number of dimes
given:
(1) +n+%2B+d+=+45+
(2) +5n+%2B+10d+=+360+
-------------------
Multiply both sides of (1) by 5
and subtract (1) from (2)
(2) +5n+%2B+10d+=+360+
(1) +-5n+-+5d+=+-225+
+5d+=+135+
+d+=+27+
and, since
(1) +n+%2B+d+=+45+
(1) +n+%2B+27+=+45+
(1) +n+=+45+-+27+
(1) +n+=+18+
She had 18 nickels and 27 dimes
check:
(2) +5%2A18+%2B+10%2A27+=+360+
(2) +90+%2B+270+=+360+
(2) +360+=+360+
Step-by-step explanation:
Это ДУ Бернулли, все детали на фото.
Step-by-step explanation:
x cos θ + y sin θ = x cos β + y sin β
<em>Let's say x = cos A, and y = sin A.</em>
cos A cos θ + sin A sin θ = cos A cos β + sin A sin β
<em>Use angle sum formula.</em>
cos(A − θ) = cos(A − β)
A − θ = ±(A − β)
A − θ = β − A
2A = θ + β
A = (θ + β) / 2
cot A = cot((θ + β) / 2)
x/y = cot((θ + β) / 2)
Answer:
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