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Ivahew [28]
3 years ago
13

Find the value of y.

Mathematics
1 answer:
stepladder [879]3 years ago
5 0

Answer:

10

Step-by-step explanation:

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A helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. Angle ABC
In-s [12.5K]

Please consider the attached graph.

We have been given that a helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. The measure of angle ABC is 150°. We are asked to find the area of triangle ABC.

We will use trigonometric area formula to solve our given problem.

A=\frac{1}{2}a\cdot c\cdot\text{sin}(b), where angle b is angle between sides a and c.

For our given triangle a=5,c=8 and measure of angle b is 150 degrees.

A=\frac{1}{2}(5)\cdot (8)\cdot\text{sin}(150^{\circ})

A=5\cdot 4\cdot(0.5)

A=10

Therefore, the area of the triangle ABC is 10 square kilo-meters and option 'c' is the correct choice.

6 0
3 years ago
Please help me with this and thank's ​
coldgirl [10]

Answer: 503/30 or 16 23/30

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
The diagram shows the cross-section of a wall of a cinema.
Anna71 [15]

Answer:

  • 280 m²
  • £133

Step-by-step explanation:

The area of the wall is the sum of the areas of the different sections of the wall. The cost to paint it will be the product of the cost of a tin of paint and the number of tins required.

__

Here, the shape of the wall can be divided into two trapezoids and a rectangle. Each shape has a corresponding area formula. Left-to-right, their areas are ...

<u>Left Trapezoid</u>

  A = 1/2(b1 +b2)h

  A = 1/2(10 m +11 m)(4 m) = 42 m²

<u>Middle Rectangle</u>

  A = LW

  A = (13 m)(11 m) = 143 m²

<u>Right Trapezoid</u>

  A = 1/2(b1 +b2)h

  A = 1/2(11 m +8 m)(10 m) = 95 m²

<u>Wall Area</u>

The total area to be painted is the sum of the above areas:

  total area = 42 m² +143 m² +95 m² = 280 m²

The area that needs to be painted is 280 m².

__

A tin of paint covers 15 m², so the number of tins needed is ...

  (15 m²)t = 280 m²

  t = 280/15 = 18 2/3 . . . . . . divide by the coefficient of t

We can only buy whole tins, so we need to buy 19 tins. Their cost will be ...

  (£7 /tin)(19 tins) = £133

It will cost £133 to paint the wall.

7 0
2 years ago
1. En una tienda de ropa se pusieron en oferta guantes y chamarras. El primer dia se vendieron 6 pares
Softa [21]
10560 so much money all forget to count
6 0
2 years ago
Read 2 more answers
Which variable is most important to the following problem?
Firlakuza [10]

Answer:

$23.50

Step-by-step explanation:

multiply 12 by 1.75 then add 2.50 to it to get the cost of taxi fee of 12 miles

4 0
3 years ago
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