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dybincka [34]
3 years ago
8

Help me asap please how to find the measure of angle c​

Mathematics
1 answer:
Trava [24]3 years ago
7 0

Answer: Angle C measures 132.5 degrees

Step-by-step explanation: What we have here is an irregular polygon with six sides. Two sides have been identified as 90 and 130. And the other sides are yet unknown. We shall start by computing the total sum of the interior angles of the six sided polygon.

The formulae for computing the interior angles of a polygon is given as (n - 2) x 180,

Where n stands for the number of sides of the polygon

Therefore in this diagram, sum of the interior angles equals

(6 - 2) x 180

= 4 x 180

= 720 degrees

That means the addition of all the given angles equals 720. This can be expressed as follows;

90 + 130 + (x + 10) + x + x + x = 720

220 + x + 10 + 3x = 720

By collecting like terms we now have

4x = 720 - 220 - 10

(Note that if a positive value crosses to the other side of an equation it becomes negative and vice versa)

4x = 490

Divide both sides of the equation by 4

x = 122.5

Therefore, since angle C is (x + 10)

C = 122.5 + 10

C = 132.5 degrees

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This is the pond in a shape of a prism, it is completely full of water. Colin uses a pump to empty the pond. The level goes down
AnnZ [28]

Answer:

150 minutes

Step-by-step explanation:

P.S - The exact question is -

Given - This is the pond in a shape of a prism, it is completely full of

             water. Colin uses a pump to empty the pond. The level goes

             down by 20 cm in the first 30 min.

To find - Work put how many minutes Colin has to wait for the pond

               to completely empty.

Proof -

Given that,

Height of prism = 1 m

Also,

Base of the prism is trapezium and

Sides of the trapezium are 0.6 m and 1.4 m

Height of trapezium is 2 m

We know that,

Area of trapezium = \frac{1}{2}× (sum of sides)× height

                             =  \frac{1}{2}× (0.6 + 1.4)× 2

                             =  \frac{1}{2}× (2)× 2

                             =  2 m²

⇒Area of trapezium = 2 m²

Now,

Volume of prism = Area of trapezium × height of prism

                          = 2 m² × 1 m

                          = 2 m³

⇒Volume of prism = 2 m³

Now,

Given that the level goes down by 20 cm in the first 30 min

We know

100 cm = 1 m

⇒1 cm = \frac{1}{100} m = 0.01 m

⇒20 cm = 20×0.01 m = 0.2 m

⇒The level goes down by 0.2 m in the first 30 min.

Also,

we know that height of water = height of prism = 1 m

So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m

Also,

Volume of Remaining water = Area of trapezium × height

                                           = 2 m² × 0.8 m

                                           = 1.6 m³

⇒Volume of Remaining water = 1.6 m³

Now,

Volume of emptied water = Total Volume - Volume of Remaining water

                                       = 2 m³ - 1.6 m³

                                       = 0.4 m³

⇒Volume of emptied water = 0.4 m³

Now,

0.4 m³ water will be empty in 30 minutes

⇒ 1 m³ water will be empty in \frac{30}{0.4} = 75 minutes

⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes

∴ we get

The remaining water is empty in 120 minutes

So,

Total pond is empty in 120 + 30 minutes

⇒Total pond is empty in 150 minutes

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3 years ago
Which is equivalent to 1.04?
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Answer:

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Step-by-step explanation:

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Lerok [7]
To solve for the coefficient of variation you will need this formula:
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To determine which one is more variable, just get the coefficient of both and compare.
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Based on the results, salary is more variable because 10.90<11.08.
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Answer:

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Where is the point (0, -5) located on the coordinate plane?
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On the y-axis.

Hope this helps!!
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