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Juli2301 [7.4K]
3 years ago
15

How would I find the measurement of arc CD?

Mathematics
1 answer:
Ierofanga [76]3 years ago
4 0
Angle A = (arc CD - arc BC) / 2
56 degrees = (arc CD -95) / 2
112 degrees = (arc CD -95)
arc CD = 207

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PLEASE HELP HELPPPPPPO HELPPPPPPO
bezimeni [28]

Step-by-step explanation:

Remember that in a linear function of the form f(x)=mx+b, m is the slope and b is the why intercept.

Part A. Since g(x)=2x+6, its slope is 2 and its y-intercept is 6

Now, to find the slope of f(x) we are using the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

where

m is the slope

(x_1,y_1) are the coordinates of the first point

(x_2,y_2) are the coordinates of the second point

From the table the first point is (-1, -12) and the second point is (0, -6)

Replacing values:

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{-6--(12)}{0-(-1)}

m=\frac{-6+12}{0+1}

m=6

The slope of f(x) is bigger than the slope of g(x), which means the line represented by f(x) is stepper than the line represented by g(x).

Part B. To find the y-intercept of f(x) we are taking advantage of the fact that the y-intercept of a linear function occurs when x = 0, so we just need to look in the table for the value of f(x) when x = 0. From the table f(x)=-6 when x=0; therefore the y-intercept of f(x) is -6.

We already know that the y-intercept of g(x) is 2. Since 2 is bigger than -6, function g(x) has a greater y-intercept.

6 0
2 years ago
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

5 0
2 years ago
Find the quotient -88, 11
irinina [24]
The answer is -88/11=-8
4 0
3 years ago
Read 2 more answers
a pay for service internet company charges 5 per hour for the first 3 hours of Service Plus a $10 connection fee
Marysya12 [62]

If you are charging 5 per hour  use h to determine how many hours and add 10 for the connection fee

5h+10

3 0
3 years ago
Please help I don't remember doing this at high school
ipn [44]
Use Pythagoras 6 squared =36-(4x4) =20 square root of 20 then times that by two
8 0
3 years ago
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