<span>Let x = the width
:
It says,"The length of a rectangle is 4 less than 3 times the width." write that as:
L = 3x - 4
:
If the perimeter is 40, find the dimensions of the rectangle.
:
We know: 2L + 2W = 40
:
Substitute (3x-4) for L and x for W
2(3x-4) + 2x = 40
:
6x - 8 + 2x = 40; Multiplied what's inside the brackets
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6x + 2x = 40 + 8; do some basic algebra to find x; (added 8 to both sides)
:
8x = 48
:
x = 48/8
:
x = 6 which is the width
:
It said that L = 3x - 4, therefore:
L = 3(6) - 4
L = 18 - 4
L = 14; is the length
:
Check our solutions in the perimeter:
2(14) + 2(6) =
28 + 12 = 40</span>
Answer:
See below.
Step-by-step explanation:
sin2x-tanx
= 2sinx cosx - sinx/cos
= (2sinx cos^2x - sin x) / cos x
= sinx ( 2 cos^2x - 1 ) / cos x
Now sin x / cos x = tanx and 2 cos^2 x - 1 = cos2x
so this simplifies to cos2x tan x.
The first answer 14a is wrong it is going to -5+-2-2a
-5+(-2)+(-2a)
=(2a)+(-5+-2)
=-2a+-7
3.35 - 3.10 = .25
.25/3.35 = .0746
.0746*100 = 7.46 or 7.5 rounded
Answer:
Answers A and B
Step-by-step explanation:
To divide fractions, you keep, change, flip. Keep the first fraction the same, 4/11. Change the division sign into a multiplication sign. Finally, find the reciprocal or "flip" the last fraction into 15/9. This makes the equation 4/11 x 15/9. Multiply across the top to get 60, and the bottom to get 99. This makes 60/99. Therefore, answer A is correct. Find some more equivelent fractions by multiplying or dividing the top and bottom by the same amount. In this proccess, you can find that answer B is also correct.