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Katena32 [7]
3 years ago
6

What is the volume of the composite figure? Express the answer in terms of pie.

Mathematics
1 answer:
zhenek [66]3 years ago
3 0

Answer:

3127 mm3

Step-by-step explanation:

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Drag each length to the correct location on the image. Each length can be used more than once, but not all lengths will be used.
Zepler [3.9K]

Applying trigonometric ratios, the missing segments lengths in the image attached below are: <em>a = 8√3; b = 12.</em>

<h3>The Trigonometric Ratios</h3>
  • SOH is sin ∅ = opp/hyp
  • CAH is cos ∅ = adj/hyp
  • TOA is tan ∅ = opp/adj
  • SOHCAHTOA is used to solve right triangles.

Given the right triangle in the mage attached below, we would find the missing sides as follows:

<em>Find a:</em>

Reference angle (∅) = 30°

opposite = 4√3

hypotenuse = a

  • <em>Apply SOH:</em>

sin 30 = (4√3)/a

a = (4√3)/sin 30

a = (4√3)/(1/2) (sin 30 = 1/2)

a = (4√3)×2

a = 8√3

<em>Find b:</em>

Reference angle (∅) = 60°

opposite = b

adjacent = 4√3

  • <em>Apply TOA:</em>

tan 60 = b/(4√3)

b = tan 60 × 4√3

b = √3 × 4√3

b = 12

Therefore, applying trigonometric ratios, the missing segments lengths in the image attached below are: <em>a = 8√3; b = 12.</em>

Learn more about trigonometric ratios on:

brainly.com/question/4326804

6 0
1 year ago
Describe whether the equation y-3x=7 is a function
Gala2k [10]

y - 3x = 7

can be written as

y = 3x + 7

For every value of x there is a unique value of y.  For example when x = 0 y = 3(0) + 7 = 7

Yes it is a function.

In particular it is a one-to-one function.

8 0
3 years ago
A rectangle has a width of 3 inches and a length of x inches. The value of the perimeter of the rectangle is equal to the value
Damm [24]

Answer:

6

Step-by-step explanation:

6 0
3 years ago
Find the value of 7v-6 given that -8v-9=7 Simplify your answer as much as possible 7v-6=
evablogger [386]

Answer:

-20

Step-by-step explanation:

-8v-9=7

Add 9 to each side

-8v-9+9=7+9

-8v = 16

Divide by -8

-8v /-8 = 16/-8

v = -2

Now find

7v -6

7(-2) -6

-14 -6

-20

4 0
3 years ago
Read 2 more answers
Which figure always has exactly four lines of reflection that map the figure onto itself?
Salsk061 [2.6K]

Answer:

number 3

Step-by-step explanation:

4 0
3 years ago
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