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3 years ago

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Mathematics

1 answer:

garik1379 [7]3 years ago

3 0

Answer:

Step-by-step explanation:

This problem is just really long- it's trying to confuse you with complicated wording. Here's it demystified:

t = 0 degrees Celsius

d = 1500 meters

Find the temperature, T.

d = 300 meters

T = 26 degrees Celsius

Find the ground temperature, t.

NOTE: The temperatures are different! T is the final temperature and t is the ground temperature.

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Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two-c

natali 33 [55]

Answer: By the slope formula.

Step-by-step explanation:

Given: ABC is a triangle (shown below),

In which A≡(6,8), B≡(2,2) and C≡(8,4)

And, D and E are the mid points of the line segments AB and BC respectively.

Prove: DE║AC and DE = AC/2

Proof:

Since, And, D and E are the mid points of the line segments AB and BC respectively.

Therefore, By mid point theorem,

coordinate of D are $(\frac{2+6}{2} , \frac{2+8}{2} ) = (\frac{8}{2} , \frac{10}{2} )= (4,5)$

Coordinate of E are $(\frac{2+8}{2} , \frac{2+4}{2} ) = (\frac{10}{2} , \frac{6}{2} )= (5,3)$

By the distance formula,

$DE=\sqrt{(5-4)^2+(3-5)^2}=\sqrt{5}$

$AC=\sqrt{(8-6)^2+(4-8)^2}=2\sqrt{5}$

By the slope formula,

Slope of AC = $\frac{4-8}{8-6} = \frac{-4}{2} = -2$

Slope of DE = $\frac{3-5}{5-4} = \frac{-2}{1} = -2$

Statement Reason

1. The coordinate of D are (4,5) and 1. By the midpoint formula

the coordinate of E are (5,3)

2. The length of DE = √5 2. By the Distance formula

The length AC = 2√5 ⇒ Segment DE

is half the length of segment AC

3. The slope of DE = -2 and the 3. By the slope formula

slope of AC = -2

4. DE║AC 4. Slopes of parallel lines are equal

7 0

3 years ago

Read 2 more answers

Mean=78

bija089 [108]

Answer:

74 and 79

Step-by-step explanation:

7 0

3 years ago

The line graph shows the average number of awakenings during the night for men and women of different ages. Use the graph to est

Reika [66]

*see attachment showing the line graph

Answer:

Step-by-step explanation:

The red line represents the line for women, while the blue line represents the line for men.

Age 45 is the middle of 40 and 45 on the x-axis.

The average number of awakenings during the night for 45 -year-old men ≈ 5

The average number of awakenings during the night for 45 -year-old women = 3

The difference = 5 - 3 = 2 times during the night.

6 0

3 years ago

(50×2) +(15+2) in word form

Illusion [34]

Fifty times two plus fifteen plus two

7 0

3 years ago

Describe how the graph of y= x^2 can be transformed to the graph of the given equation.

7nadin3 [17]

Answer:

Step-by-step explanation:

Given y = x² then y = x² + c is a vertical translation of y = x²

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here c = - 12 < 0

Thus y = x² - 12 is the graph of y = x² shifted 12 units down → b

5 0

3 years ago

Read 2 more answers