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nordsb [41]
3 years ago
5

E/4 + 2d - 3 when e = 12 and f = 1/2.

Mathematics
1 answer:
Oxana [17]3 years ago
4 0

Given that,

An expression : \dfrac{e}{4}+2f-3

To find,

The value of the above expression when e = 12 and f = 1/2

Solution,

We have,

\dfrac{e}{4}+2f-3

Put e = 12 and f = 1/2

So,

=\dfrac{12}{4}+2\times \dfrac{1}{2}-3\\\\=3+1-3\\\\=1

So, the value of the above expression is 1.

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Find the Length of AC. Round answers to the nearest hundredth (2 decimal places)
lara31 [8.8K]

Answer:

32.78

Step-by-step explanation:

Assuming that we have two right triangles joined together, with one having adjacent side a, with a side of 12 ft opposite reference angle 30°, and the other one having adjacent side b, with a side of 12 ft opposite reference angle 45°. Thus, a + b = length of AC.

Let's find a and b.

Finding a:

Reference angle = 30°

Opp = 12 ft

Adj = a

Using trigonometric ratio formula, we have:

tan(30) = 12/a

Multiply both sides by a

a*tan(30) = 12

Divide both sides by tan(30)

a = 12/tan(30)

a = 20.78 (nearest hundredth)

Finding b:

Reference angle = 45°

Opp = 12 ft

Adj = b

Using trigonometric ratio formula, we have:

tan(45) = 12/b

Multiply both sides by a

b*tan(45) = 12

Divide both sides by tan(45)

b = 12/tan(45)

a = 12

Length of AC = 20.78 + 12 = 32.78

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