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m_a_m_a [10]
3 years ago
11

1) Define the three trigonometric ratios (sine, cosine, and tangent) using opposite side, adjacent side, and hypotenuse)​

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
8 0

Answers:

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

These three ratios are often expected to be memorized or written on a flashcard, or reference sheet. I recommend memorizing them as they will come up quite often in trigonometry.

One way to remember is to use phrase "SOH CAH TOA" which could sound like "soak a toe-a" when you pronounce it out.

SOH = sine opposite hypotenuse

CAH = cosine adjacent hypotenuse

TOA = tangent opposite adjacent

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Please Help Soon! A 4-foot by 8-foot rectangular piece of plywood will be cut into 4 congruent rectangles with no wood left over
laiz [17]

Answer: 6 feet

Step-by-step explanation:

Given that a 4-foot by 8-foot rectangular piece of plywood will be cut into 4 congruent rectangles with no wood left over and no wood lost due to the cuts

Let assume that the 4 rectangles will be of the same area since they are congruent.

The area of the big rectangle will be

Area = 4 × 8 = 32

Divide 32 by 4

32/4 = 8

Suggest the two possible numbers in which their product will be equal to 8

4 and 2 or 8 and 1

If 4 and 2

The perimeter = 2L + 2B

Substitute the 4 and 2 into the formula

Perimeter = 2(4) + 2(2)

Perimeter = 8 + 4

Perimeter = 12

If 8 and 1

Perimeter = 2(8) + 2(1)

Perimeter = 16 + 2 = 18

The positive difference, in feet, between the greatest possible perimeter of a single piece and the least possible perimeter of a single piece will be:

18 - 12 = 6 feet

6 0
3 years ago
4(x+6)≤−56 it says Solve the inequality.
vlabodo [156]

\tt \: 4(x + 6) \leqslant  - 56

Divide both sides of the inequality by 4

\sf \: x + 6 \leqslant  - 14

Move the constant to the right-hand side and change its sign

\bf \: x \leqslant  - 14 - 6

Calculate the difference

\rm \: x \leqslant  - 20

And we are done solving!!~

8 0
3 years ago
Read 2 more answers
Find the terms, coefficients, and constants of 4x+x+17
andreyandreev [35.5K]

Answer:

17 and x=constant,

4x=coefficient

hope this helps

have a good day :)

Step-by-step explanation:

4 0
3 years ago
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Question 4 (1 point) Determine whether the ordered pair (3,28) is a solution to the equation 2x- y/2 = -8 (3, 28) Is a solution
bulgar [2K]

Answer:

It is a solution

Step-by-step explanation:

Given

2x - \frac{y}{2} = -8

Required

Determine if (3,28) is a solution

(3,28) implies that:

x = 3

y = 28

To check if it is a solution, we simply substitute values for x and y in the given equation;

2x - \frac{y}{2} = -8

2(3) - \frac{28}{2} = -8

6 - 14= -8

-8= -8

Since both sides of the equation are equal; then, Yes, it is a solution

6 0
3 years ago
2. Solve - Sy + 13y<br> 45 for y.
zimovet [89]
This makes no sense
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