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Gekata [30.6K]
3 years ago
11

Please help with this simple trig problem- angle of two sectors of a circle

Mathematics
1 answer:
igomit [66]3 years ago
4 0

Answer:

  K = (1/2)r^2(sin(θ) +θ)

Step-by-step explanation:

The area of the triangle to the left is ...

  A1 = (1/2)r^2·sin(180°-θ) = (1/2)r^2·sin(θ)

The area of the sector to the right is ...

  A2 = (1/2)r^2θ

so the total area of the blue shaded region is ...

  K = A1 + A2 = (1/2)r^2·sin(θ) + (1/2)r^2·θ

  K = (1/2)r^2(sin(θ) +θ)

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Find x. (Use pic for more info)
V125BC [204]

Answer:

x=75

Step-by-step explanation:

Hey There!

If you didn't know the exterior angle of a triangle is equal to the sum of the opposite interior angles of a triangle

So essentially what I'm saying is that

2x-5=70+x

step 1 add 5 to each side

-5+5 cancels out

70+5=75

now we have

2x=70+x

step 2 subtract x from each side

x-x cancels out

2x-x=x

we're left with

x=75

8 0
3 years ago
The cost of three tickets to a movie is at least $21. Write and solve an inequality that represents the price of one ticket.
valina [46]

Answer:

the answer is 7!

Step-by-step explanation:

divide 21 and 3 and you get 7

7 0
3 years ago
When I have a trinomial with two negatives, is the grouped factoring both negative too?
artcher [175]
Simple...

you have: y^{2} -7y-18

(Using the box method)

-->>>

What multiplies to -18 but adds to -7?

-9*2=-18

-9+2=-7

Leaving you with...

(y-9)(y+2)

As we can see the grouped factoring is not all negative...

Thus, your answer.
7 0
4 years ago
Add the following polynomials, then place the answer in the proper location on the grid.
WARRIOR [948]

Answer: - 2.4x^2 - 1.5x - 11.4

Step-by-step explanation:

- 4.1x^2 + 0.9x - 9.81.7x^2 - 2.4x - 1.6 = - 2.4x^2 - 1.5x - 11.4

6 0
2 years ago
Use the calculator to graph the function y = 2x2 25x + 3. What are the coordinates of the turning point of the graph to the near
professor190 [17]

The coordinates of the turning point of the graph of the quadratic equation is given by: (-6.25, -75.13).

<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}

In this problem, the function is given by:

y = 2x² + 25x + 3.

Hence the coefficients are a = 2, b = 25, c = 3, then the coordinates of the vertex are given as follows:

  • x_v = -\frac{25}{2(2)} = -6.25
  • y_v = -\frac{25^2 - 4(2)(3)}{4(2)} = -75.13

The coordinates of the turning point of the graph of the quadratic equation is given by: (-6.25, -75.13).

More can be learned about the quadratic functions at brainly.com/question/24737967

#SPJ1

5 0
2 years ago
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