Answer:
the numbers are 7 and 11
Step-by-step explanation:
If you add the smaller to the sum of numbers, you have the sum of the greater and twice the smaller. That is ...
18 + smaller = 25
smaller = 25 -18 = 7
larger = 18 -7 = 11
The two numbers are 7 and 11.
_____
If you like, you can write two equations. Let x and y represent the smaller and larger numbers, respectively.
x + y = 18
2x + y = 25
Subtract the first equation from the second:
(2x +y) -(x +y) = (25) -(18)
x = 7
y = 18-x = 18-7 = 11
The numbers are 7 and 11.
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:
12 miles
Step-by-step explanation:
sorry if im wrong
Ummmmmmmmmm 7 i think that is the wright answer
Answer:
75, 7/10, 2/3, 62,5, .5
Step-by-step explanation:
75%=75%
7/10=70%
2/3=66.67%
62.5%=62.5%
.5=50%
