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Nataly_w [17]
3 years ago
12

If cot = 1.5 find tan

Mathematics
1 answer:
adoni [48]3 years ago
3 0

Answer:

2/3

Step-by-step explanation:

Tan(x) = \frac{1}{cot(x)}=\frac{1}{1.5}=\frac{2}{3}

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If car can travel 50 miles in 55 minutes, how long will it take to travel 75 miles ?
mrs_skeptik [129]
First of all, if you are traveling more, then you will have to take more time to get there. So since the answer A is less than the original number 50 you can rule that choice out. Now to solve, you will put 50 over 55 such as this 50/55. This represents miles/minutes. So next you will put 75/x since we are trying to solve for x (minutes). Now our problem looks like this 50/55 times 75/x. To solve the answer you will need to cross multiply. You will multiply 75 and 55 together to get 4,125. (This will be your numerator, or top number) Next you will multiply 50 and x, this gives you 50. (This will be your denominator, or bottom number. Now you have 4,125/50. Divide your two numbers and you get 82.5! The answer is D. 82.5! Hope I helped!
7 0
3 years ago
If a roll of painter's tape contains 14 feet of tape, what is the maximum number of 1.75-foot pieces that can be cut from the ro
Dafna11 [192]
Answer is c 8
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3 0
3 years ago
An open box is to be made from a 3 ft by 8 ft rectangular piece of sheet metal by cutting out squares of equal size from the fou
Burka [1]

Answer:

Maximum volume of the box will be 7.41 cubic feet.

Step-by-step explanation:

Open box has been made from a metal sheet measuring 3 ft and 8 ft.

Let four square pieces were removed from the four corners with one side measurement x ft.

Volume of the open box = Length × width × height

Length of the box = (3 - 2x) ft

Width of the box = (8 - 2x) ft

Height of the box = x ft

Volume of the box = (3 - 2x)(8 - 2x)x

V = (24 - 6x - 16x + 4x²)x

V = 24x - 22x² + 4x³

Now we take the derivative of V with respect to x and equate the derivative to zero,

\frac{d}{dx}(V)=\frac{d}{dx}(24x - 22x^{2}+4x^{3})

V' = 24 - 44x + 12x²

V' = 0

12x² - 44x + 24 = 0

3x² - 11x + 6 = 0

3x² - 9x - 2x + 6 = 0

3x(x - 3) - 2(x - 3) = 0

(3x - 2)(x - 3) = 0

(3x - 2) = 0

and (x - 3) = 0

Therefore, x = 3, \frac{2}{3}

For x = 0.67

Length of the box = (3 - 2x) = 3 - 1.34

                              = 1.66 ft

Width of the box = (8 - 2x) = 8 - 1.34

                            = 6.66 ft

Volume of the box = 0.67 × 1.66 × 6.66

V = 7.41 cubic feet.

Similarly, for x = 3,

Length of the box = (3 - 2\times 3) = -3

which is negative but the length of the box can not be negative.

Therefore, maximum volume of the box will be 7.41 cubic feet.

6 0
3 years ago
PLEASE HELP ME PLEASE !!!
Nimfa-mama [501]

Answer:

i need more information about the question... i suggest googleing it

Step-by-step explanation:

4 0
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