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padilas [110]
4 years ago
9

Two angles of a triangle are 30°and 80°. Find the third angle.

Mathematics
1 answer:
stiv31 [10]4 years ago
7 0

Answer:

The third angle of the triangle is 70°.

Step-by-step explanation:

The two angles of a triangle (say Δ ABC) are given to be 30° and 80°.

We have to find the third angle.

Let us assume that ∠ A = 30° and ∠ B = 80°, then we have to find ∠ C.

Now, we know that, ∠ A + ∠ B + ∠ C = 180° {Property of a triangle}

⇒ 30° + 80° + ∠ C = 180°

⇒ ∠ C = 180° - 30° - 80° = 70°

Therefore, the third angle of the triangle is 70°. (Answer)

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3 years ago
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katen-ka-za [31]

Using the vertex of a quadratic function, it is found that:

a) The revenue is maximized with 336 units.

b) The maximum revenue is of $56,448.

<h3>What is the vertex of a quadratic equation?</h3>

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

(x_v, y_v)

In which:

  • x_v = -\frac{b}{2a}
  • y_v = -\frac{b^2 - 4ac}{4a}

Considering the coefficient a, we have that:

  • If a < 0, the vertex is a maximum point.
  • If a > 0, the vertex is a minimum point.

The demand function is given by:

p(x) = 336 - 0.5x.

Hence, the revenue function is:

R(x) = xp(x)

R(x) = -0.5x² + 336x.

Which has coefficients a = -0.5, b = 336.

Hence, the value of x that maximizes the revenue, and the maximum revenue, are given, respectively, as follows:

  • x_v = -\frac{336}{2(-0.5)} = 336
  • y_v = -\frac{336^2 - 4(-0.5)(0)}{4(-0.5)} = 56448

More can be learned about the vertex of a quadratic function at brainly.com/question/24737967

#SPJ1

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2 years ago
Write 87 tens and 2 ones as a base-ten number.
melamori03 [73]
Therefore (87)₁₀ = (1010111)₂
Take any base 10 number. Divide it by 2.
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3 years ago
I can't figure out which one this is, ​
ki77a [65]

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That would be ~p through~v.

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