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Doss [256]
3 years ago
12

If you're good at trigonometry please help meeee

Mathematics
2 answers:
Maurinko [17]3 years ago
6 0

Answer:

\boxed{92 \: \mathrm{mm}}

Step-by-step explanation:

sin θ = \frac{opposite}{hypotenuse}

sin (60) = \frac{80}{x}

x = \frac{80}{\mathrm{sin} (60)}

x = 92.37604307...

x ≈ 92

Zielflug [23.3K]3 years ago
4 0

Using the base dimension and either given angle you can solve for x

Sin(angle) = opposite leg/ hypotenuse

Sin(60) = 80/x

X = 80/sin(60)

X = 80/ sqrt(3)/2

X = 160/3 x sqrt(3). (This is exact answer)

For a decimal answer: 160/3 = 53 1/3

Multiplied by sqrt(3) = 92.376 mm

Rounded to nearest mm = 92

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Which description does NOT guarantee that a quadrilateral is a rectangle?
Kisachek [45]

Answer: A

 a quadrilateral with all four angles right

Step-by-step explanation:

A  quadrilateral is a rectangle if a quadrilateral has all four angles right,

a parallelogram with congruent sides

a quadrilateral with diagonals that are congruent and bisect each other

a quadrilateral with all congruent angles. Because a rectangle possesses 2 pairs of parallel sides, 4 right angles at 90°. It has opposite sides which

are parallel and  congruent. And all its angles are congruent.

But a quadrilateral with all four angles right is a description that does NOT guarantee that a quadrilateral is a rectangle. Because this description is also applicable to a square.

8 0
3 years ago
What two numbers multiply to -112 and add up to -54
SVETLANKA909090 [29]
Xy = -112
x + y = -54

xy = -112
\frac{xy}{x} = \frac{-112}{x}
y = \frac{-112}{x}

x + y = -54
x + \frac{-112}{x} = -54
\frac{x^{2}}{x} + \frac{-112}{x} = -54
\frac{x^{2} - 112}{x} = -54
x^{2} - 112 = -54x
x^{2} + 54x - 112 = 0
x^{2} + 56x - 2x - 112 = 0
x(x) + x(56) - 2(x) - 2(56) = 0
x(x + 56) - 2(x + 56) = 0
(x - 2)(x + 56) = 0
x - 2 = 0    or    x + 56 = 0
x = 2    or    x = -56

  x + y = -54
  2 + y = -54
- 2           - 2
        y = -56
  (x, y) = (2, -56)

          or

     x + y = -54
  -56 + y = -54
+ 56        + 56
           y = 2
    (x, y) = (-56, 2)

The two numbers that multiply to -12 and add up to -54 are -56 and 2.
6 0
4 years ago
Read 2 more answers
Solve for x: x - 5y = -1
Fantom [35]

Answer:

x = -1 + 5y

Step-by-step explanation:

If you writing this equation in terms of x then the answer is correct, however, if there is a value for y, then you just need to sub it into y.

For example,

Find x when y = 3

x = -1 + 5(3)

  = -1 + 15

  = 14  

6 0
3 years ago
Wait
taurus [48]
A. 66 square units since you do 11x6
7 0
3 years ago
What are 5 numbers that have 5, 11, and 2 as prime factors
Firdavs [7]
110, 220, 330, 440, 550

hope this helps
5 0
3 years ago
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