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vodka [1.7K]
3 years ago
8

kirk has 42 pieces of candy to divide evenly between his three children. if he puts the pieces into three boxes how many pieces

of candy are there per box
Mathematics
1 answer:
Gekata [30.6K]3 years ago
8 0
14 pieces of candy in the box
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F(x) = ax2 - 12, g(x) = 2x +3, and f(3) = 24. What<br> is the value of g(f(2)) ?
elixir [45]
<h2>Answer:    g(f(2))  = 11</h2>

Step-by-step explanation:

g(f(2)) is substituting the value of f(2) for x in g(x). But we must first find f(2).

We know that f (x) = ax² - 12

Since f(3) = 24

  ⇒ a(3²) - 12 = 24

       9 a  = 36

          a  = 4

∴ f(2) = (4)(2²) - 12

         =  4

 

⇒ g(f(2)) = 2(4) + 3

             = 11

6 0
2 years ago
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1.<br> Use trigonometry to work out the value of x.<br> Not drawn accurately. <br> Help pls
tino4ka555 [31]

Answer:

20cos(39) or  15.543 (3 d.p.)

Step-by-step explanation:

  • Use SOHCAHTOA
  • You want to find A and have an angle of 36° and H
  • So use CAH
  • cos(39) = x / 20
  • x = 20cos(39)
8 0
2 years ago
Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the me
mel-nik [20]

Answer:

The perimeter of the base of the birdhouse is 36 units

Step-by-step explanation:

<u><em>The complete question is</em></u>

Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?

step 1

Find the measure of the interior angle

Let

x ---> the measure of the interior angle

y ---> the measure of the exterior angle

Remember that

the sum of the interior and exterior angle in any polygon is equal to 180 degrees

so

x+y=180^o ----> equation A

we have that

the measure of the interior angle is twice the measure of the exterior angle

so

x=2y ----> equation B

substitute equation B in equation A

2y+y=180

y=60^o

so

x=120^o

That means-----> The figure is a regular hexagon

step 2

Remember that

The length of the diagonal that passes through the center of the hexagon is equal to two times the length of the regular hexagon

Let

b ----> the length side of the hexagon

so

b=12/2=6\ units

The perimeter of the hexagon is given by the formula

P=6b

substitute

P=6(6)=36\ units

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3 years ago
Which of this is/are true? i: 11&gt;9 ii. -11 &gt; -3 iii.6-3 &lt;-2
Ymorist [56]
11>9 this is the answer
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3 years ago
Maurice and three other volunteers work at the hospital every week. if the number of hours each volunteer works is always the sa
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12 hours & 4 volunteers
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