Tan 2x - cot x = 0
2tan x / (1 - tan^2 x) - 1/tan x = 0
2tan^2 x - (1 - tan^2 x) = 0
2tan^2 x - 1 + tan^2 x = 0
3tan^2 x - 1 = 0
tan^2 x = 1/3
tan x = + or - 1/√3
Answer:
Solution given:
3(5x+8)
distribute
15x+8*3
<u>1</u><u>5</u><u>x</u><u>+</u><u>2</u><u>4</u><u> </u><u>is</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>answer</u><u>.</u>
Answer: A company saves $134.38 by choosing to make 50 of Box 2 instead of Box 1
Step-by-step explanation:
Hi, to answer this question we have to calculate the surface area of both boxes.
<em>Surface area (A) = 2wl + 2lh + 2hw,
</em>
Where w is width, l is length , and h is height.
- Box 1 = A = 2(6x20) + 2( 20x4) + 2 (4 x 6) =2 (120)+ 2 (80)+ 2(24) =448 in2
- Box 2 = A = 2 (4x15)+ 2(15x8)+ 2(8x4) = 2(60)+2(120)+2(32)=424 in2
Since 1 inch = 0.0833333 foot
- Box 1 = 448 in2 x 0,0833333 =37.34 ft2
- Box 2= 424 in2 x 0,0833333 =35.19 ft2
Since the material used to make a storage box costs $1.25 per square foot.
- Box 1 =37.34 ft2 x1.25 = $ 46.675
- Box 2= 35.19 ft2 x 1.25 =$43.98
Since 50 of each are made:
- Box 1 = $ 46.675 x50 =2,333.750
- Box 2= $43.98 x50 =2,199.37
Subtracting both costs:
2,333.750(1) - 2,199.37(2) = $134.38
Answer:
0.3, 0.32, 0.321, 0.345
Step-by-step explanation:
The maximum number of decimals shown in the series is 3.
Therefore, let's rewrite all the numbers with three decimal places.
0.32, 0.321, 0.3, 0.345 can be written as
0.320, 0.321, 0.300, 0.345
Now, we can easily compare the numbers and we can conclude:
0.300 < 0.320 < 0.321 < 0.345
Hence, the smallest to largest order is:
0.3, 0.32, 0.321, 0.345
Answer:
Step-by-step explanation:
<u>P</u>arentheses <u>E</u>xponents <u>M</u>ultiplication <u>D</u>ivision <u>A</u>ddition <u>S</u>ubtraction
5X100=500 and 9X1=9 and 41/100=0.41 Then put them back into the equation
5X100+9X1+41/100=
500 + 9 + 0.41 = Now add. 509.41