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Illusion [34]
3 years ago
7

Which angle is complementary to <3? help asap​

Mathematics
1 answer:
fgiga [73]3 years ago
5 0

Answer:

In a right angled triangle

Step-by-step explanation:

The two non-right angles are complementary, because in a triangle the three angles add to 180°, and 90° has already been taken by the right angle. When two angles add to 90°, we say they "Complement" each other. because the right angle is thought of as being a complete angle.

Sorry if this is wrong this is all I could do

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Convert 13000 milligrams into pounds. Round your answer to the nearest<br> hundredth.
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Answer: 0.03

Step-by-step explanation:

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James rolls a number cube, with sides labeled 1 through 6, two times. What is the probability James will roll an even number the
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3 years ago
An open box is to be constructed so that the length of the base is 3 times larger than the width of the base. If the cost to con
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Answer:

Step-by-step explanation:

Let assume that the volume = 88 cubic feet

Then:

L = 3w --- (1)volume = l \times w \times h \\ \\ 88 =  (3w)   \times w  \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\

The construction cost now is:

C = 4(l \times w) + 2 ( w  \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w  \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}

Now, to determine the minimum cost:

\dfrac{dC}{dw}= 0  \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}

w = \dfrac{88}{3(3)}^{1/3} \ feet

Now;

length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet

height = ( 88})^{1/3} (3)^{1/3} \ feet

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How many ways can a dozen books be placed on four distinguishable shelves if no two books are the same, and the positions of the
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217945728000 ways

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Book\ 2  = 5 --- any of the 4 shelves and either ways of book 1

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-----------------------

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<h2>Book\ 12 = 15</h2><h2></h2>

So, the number of ways is:

Ways = 4 * 5 * 6 * 7 * 8 * 9 * 10 * 11 * 12 * 13 * 14 * 15

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