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Komok [63]
3 years ago
10

Triangle DEF with vertices D(2, 6), E(5, 6)and F(5, 1). Write the coordinates of triangle D’E’F’ after a

Mathematics
1 answer:
Yakvenalex [24]3 years ago
8 0

Answer:

The coordinates of triangle after reflection over y-axis

 D¹( -2 ,6) , E¹( -5 ,6) , F¹ (-5,1)

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that DEF with vertices D(2,6), E(5,6), and F(5,1)

Given that the triangle DEF reflection over the 'y' - axis then  transformed into

( x,y) → (-x,y)

Now,

D(2,6) → D¹( -2 ,6)

E(5,6)→ E¹( -5 ,6)

F(5,1)→ F¹ (-5,1)

<u><em>Final answer:-</em></u>

The coordinates of triangle after reflection over y-axis

 D¹( -2 ,6) , E¹( -5 ,6) , F¹ (-5,1)

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A hexagonal pyramid that has a slant height of 39 cm and its hexagonal base has a radius of 10√3 cm.
VMariaS [17]

Answer: 225

Step-by-step explanation:

Volume of the pyramid is calculated as 1/3 bh, where b is base and h is height

Given height as 39cm and a base of 10√3cm = 10 x √3, where √3= 1.73; base = 10 x 1.73 = 17.3

Slot the values into the formula:

Volume = 1/3 × 17.3 x 39

= 1/3 × 674.7 = 674.7/3

Volume = 224.9 approximately 225.

I hope this helps.

3 0
3 years ago
The children in my subdivision were bored one summer and decided to hold a competition to see who could run to the end of the st
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Answer:

6.7% of children who finished the race in under 45 seconds.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 75 seconds

Standard Deviation, σ =  20 seconds

We are given that the distribution of time of completion is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(finished the race in under 45 seconds.)

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P( x < 45) = P( z < \displaystyle\frac{45 - 75}{20}) = P(z < -1.5)

Calculation the value from standard normal z table, we have,  

P(x < 45) = 0.067 = 6.7\%

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Answer:

20x

Step-by-step explanation:

\frac{80}{4}=\frac{20}{1}=20

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