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Answer:
Step-by-step explanation:
Let be an acute angle.
To solve: , we take the sine inverse of both sides to obtain:
Recall composition property of a function and its inverse function.
We apply this property to the left hand side to obtain;
We now use our scientific calculator to obtain;
We round to the nearest tenth to obtain;
Answer:
370
Step-by-step explanation:
Isolate the numbers so that you are only dividing sections at a time.
So 25 goes in to 92 three times. so we multiply 25 by three and subtract that from 92. Put the three at the top and repeat throughout.
92-75=17
Bring the next number down and repeat.
Answer:
Apples = 24
Pears = 40
Step-by-step explanation:
Let u be the unit of fruit in the basket,
number of apples:
number of pears:
now to find u, we equate the two equations.
Now simplify.
Now we can find the original number of apples and pears by substituting u.
so original number of apples =
and original number of pears =
(m+2)(m+3)= (m+2)(m-2)
⇒ m^2+ 3m+ 2m+ 6= m^2 -4
⇒ 5m+ 6= -4 (m^2 on both sides cancels out)
⇒ 5m= -4-6
⇒ 5m= -10
⇒ m= -10/5
⇒ m= -2
The final answer is m=-2~