Answer:
28 pounds
Step-by-step explanation:
We have a total of 5 boxes, now we know that each box weighs 9 pounds, therefore:
Total weight = 5 * 9 = 45 pounds
Which means there are 45 pounds in total.
We are told that the limit is exceeded by 17 pounds. To find the limit weight, it is necessary to subtract the total weight and the excess:
45-17 = 28 pounds
Therefore, the maximum weight allowed per shipment is 28 pounds.
Let's work on the left side first. And remember that
the<u> tangent</u> is the same as <u>sin/cos</u>.
sin(a) cos(a) tan(a)
Substitute for the tangent:
[ sin(a) cos(a) ] [ sin(a)/cos(a) ]
Cancel the cos(a) from the top and bottom, and you're left with
[ sin(a) ] . . . . . [ sin(a) ] which is [ <u>sin²(a)</u> ] That's the <u>left side</u>.
Now, work on the right side:
[ 1 - cos(a) ] [ 1 + cos(a) ]
Multiply that all out, using FOIL:
[ 1 + cos(a) - cos(a) - cos²(a) ]
= [ <u>1 - cos²(a)</u> ] That's the <u>right side</u>.
Do you remember that for any angle, sin²(b) + cos²(b) = 1 ?
Subtract cos²(b) from each side, and you have sin²(b) = 1 - cos²(b) for any angle.
So, on the <u>right side</u>, you could write [ <u>sin²(a)</u> ] .
Now look back about 9 lines, and compare that to the result we got for the <u>left side</u> .
They look quite similar. In fact, they're identical. And so the identity is proven.
Whew !
Answer:
the equation is 2p-7=25 // p = 16
Answer:
Step-by-step explanation:
Given:
Two equations are given.
------(1)
----------(2)
Solve equation 1 for y.
-----------(3)
Now, we substitute y value in equation 2.
Now, we substitute x value in equation 1.
Therefore, the value of x and y is 
