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asambeis [7]
3 years ago
9

The howler monkeys at a zoo are fed a diet that contains 3.35 kcal/gram. Write a function g(x) that gives the mass of food in gr

ams that a howler monkey must eat to obtain x kilocalories of energy.
Mathematics
1 answer:
Dvinal [7]3 years ago
4 0
The amount of energy that the given amount of food contains is the product of the given content per grams and the amount of food in grams. 

For this item, we assume that g(x) is the total energy that the howler monkey needs to obtain and x is the amount of food in grams. From the presented concept in the first paragraph,

amount of energy = (3.35 kcal/gram) x (amount of food)
<em>g(x) = 3.35x</em>
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Find, correct to the nearest degree, the three angles of the triangle with the given vertices.
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Answer:

angle CAB = 113.8 degree

angle ABC = 35.6 degree

angle BCA = 30.6 degree

Step-by-step explanation:

Given data:

A(1, 0, −1),

B(5, −3, 0),

C(1, 5, 2)

calculate the length of side by using the distance formula

so

AB = (5,-3,0) - (1,0,-1) = (4,-3,1)

AC= (1,5,2) - (1,0,-1) = (0,5,3)

|AB|

|AC| =\sqrt {(0 + 5^2+3^2)} = \sqrt{34}

From following formula, calculate the angle between the two side i.e Ab and AC

AB.AC = |AB|*|AC| cos ∠CAB

(4,-3,1).(0,5,3)

4*0 -3*5 +1*3

-12 =

cos ∠CAB = - 0.404

angle CAB = 113.8 degree

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BC = (1,5,2)-(5,-3,0) = (-4,8,2)

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sum of all three angle = 180

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angle BCA = 30.6 degree

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3 years ago
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