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ki77a [65]
3 years ago
15

Evaluate the expression for a = 27, b = 26, c = 27, d = 23: a+b-c-d

Mathematics
1 answer:
artcher [175]3 years ago
5 0

For this case we have the following expression:

a + b-c-d

We must evaluate the expression when:

a = 27\\b = 26\\c = 27\\d = 23

Substituting the values we have:

a + b-c-d = 27 + 26-27-23

Equal signs are added and the same signs are placed.

a + b-c-d = + 53-50

Different signs are subtracted and the sign of the major is placed:

a + b-c-d = 53

Finally we have to:

a + b-c-d = 53

Answer:a + b-c-d = 53

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Find the values of the six trigonometric functions for angle G.
EleoNora [17]

Answers:

  • sin(G) = 3/5
  • cos(G) = 4/5
  • tan(G) = 3/4
  • csc(G) = 5/3
  • sec(G) = 5/4
  • cot(G) = 4/3

==============================================

Explanation:

For a right triangle, the sine of a reference angle is equal to the opposite over hypotenuse.

sin(angle) = opposite/hypotenuse

cosine involves adjacent over hypotenuse

cos(angle) = adjacent/hypotenuse

tangent involves opposite over adjacent

tan(angle) = opposite/hypotenuse

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

In short, we have this list so far

  • sin(angle) = opposite/hypotenuse
  • cos(angle) = adjacent/hypotenuse
  • tan(angle) = opposite/hypotenuse

The other three trig functions are reciprocals of these first three. Cosecant is the reciprocal of sine, secant is the reciprocal of cosine, and cotangent is the reciprocal of tangent.

Meaning, the other three trig ratios are

  • csc(angle) = hypotenuse/opposite
  • sec(angle) = hypotenuse/adjacent
  • cot(angle) = adjacent/opposite

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

So,

  • sin(G) = opposite/hypotenuse = FH/FG = 24/40 = 3/5
  • cos(G) = adjacent/hypotenuse = GH/FG = 32/40 = 4/5
  • tan(G) = opposite/adjacent = FH/GH = 24/32 = 3/4

and

  • csc(G) = hypotenuse/opposite = FG/FH = 40/24 = 5/3
  • sec(G) = hypotenuse/adjacent = FG/GH = 40/32 = 5/4
  • cot(G) = adjacent/opposite = GH/FH = 32/24 = 4/3
6 0
3 years ago
Read 2 more answers
Tan theta * tan 2theta = 1, cos 2theta =?
lilavasa [31]

Answer:123445

Step-by-step explanation: sorry I need to answer a question to get a free answer so sorry

6 0
3 years ago
Y=<br> (0.<br> (1,<br> (2,<br> (3.<br> (4,<br> (5,
skad [1K]

Answer:

y = (0, 1, 32, 243, 1024, 3125)

3 0
3 years ago
The cost function in a computer manufacturing plant is C(x) = 0.28x^2-0.7x+1, where C(x) is the cost per hour in millions of dol
Licemer1 [7]

9514 1404 393

Answer:

  $562,500 per hour

Step-by-step explanation:

The cost will be a minimum where C'(x) = 0.

 C'(x) = 0.56x -0.7 = 0

  x = 0.7/0.56 = 1.25

The cost at that production point is ...

  C(1.25) = (0.28×1.25 -0.7)1.25 +1 = -0.35×1.25 +1 = 0.5625

The minimum production cost is $562,500 per hour for production of 1250 items per hour.

_____

<em>Additional comment</em>

This is different than the minimum cost <em>per item</em>. This level of production gives a per-item cost of $450. The minimum cost per item is $358.30 at a production level of 1890 per hour.

5 0
3 years ago
HELP Asap :-/!!!! AHHHHHHHHHHH
pychu [463]

Answer:

x = 9

Step-by-step explanation:

If ΔMNO ≅ ΔPST, their corresponding sides must also be ≅(congruent).

NO is corresponds to TS, thus sides NO and side TS are ≅.

=> 20 = 3x - 7

=> 3x = 27

=> x = 9

6 0
3 years ago
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