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AlexFokin [52]
3 years ago
15

Determine the sign of cos pi divided by seven without using a calculator.

Mathematics
1 answer:
7nadin3 [17]3 years ago
3 0
Check the picture below.

now, when you get a fraction of π for the angle, is just really like grabbing π and dividing it in that many pieces, and the angle, is a fraction of π and therefore on those pieces.

π/7 is clearly less than 7π/7 which is π, notice the 7-pieces split in the picture.

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2) Line segment MK has endpoints at (2, 3) and (5, ?4). Segment M'K' is the reflection of MK over the y-axis. Which statement de
Marianna [84]

Answer:

Option C -M'K' is the same length as MK

Step-by-step explanation:

Given : Line segment MK has endpoints at (2, 3) and (5,4)

               M'K' is the reflection of MK over the y-axis

By definition of reflection: reflection of point (x,y) across the the y-axis is the point (-x,y)

which implies M'K' has end points (-2,3) and (-5,4)

Now, we find the length of MK

let (x_1,y_1)=(2,3)\\\\(x_2,y_2)=(5,4)

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

⇒ d=\sqrt{(2-5)^2+(4-3)^2}

⇒d=\sqrt{9+1}

⇒d=\sqrt{10}   ....(1)

Now, we find the length of M'K'

let (x_1^{'},y_1^{'})=(-2,3)\\\\(x_2^{'},y_2^{'})=(-5,4)

d^{'}=\sqrt{(x_2^{'}-x_1^{'})^2+(y_2^{'}-y_1^{'})^2}

⇒ d^{'}=\sqrt{(-2+5)^2+(3-4)^2}

⇒d^{'}=\sqrt{9+1}

⇒d^{'}=\sqrt{10} .....(2)

from (1) and (2) we simply show that the length of MK and M'K' is equal

we can also refer the figure attached for reflection of MK and M'K'

therefore, Option C is correct


3 0
3 years ago
Read 2 more answers
3) 14 pennies to 35 pennies​
Leno4ka [110]

Answer:

<h2>2/5</h2>

Step-by-step explanation:

14/35

Find the GCD of numerator and denominator

GCD of 14 and 35 is 7

Divide both the numerator and denominator by the GCD

14 ÷ 7

35 ÷ 7

2/5

I'm always happy to help :)

5 0
3 years ago
Find the coordinates of point P that partitions segment MN in the ratio 3:2 if M(-3,-3) and N(4,2).
SpyIntel [72]

Answer:

../////////////////////////////////////////////

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the approximate circumference of a circle with 17.4 cm
Natasha_Volkova [10]
If the diameter of the circle is 17.4 cm, the approximate circumference of the circle would be 54.636. If the radius of the circle is 17.4 cm, the approximate circumference would be 109.272.

Explanation:
Circumference of a circle = Pi (3.14) x diameter

In this case, the diameter (I am assuming) is 17.4, so in order to solve the circumference you must multiply Pi by 17.4.

(If 17.4 is the radius, simple multiply 17.4 by 2 and then solve for the circumference like you normally would. You must multiply the radius by two because the radius is half of the circles circumference.

Hope that helps. Happy learning!
8 0
3 years ago
Read 2 more answers
24
KonstantinChe [14]

Answer:

2n-4

Step-by-step explanation:

it isn't actually lololololol reeeeèeee. Nah jk it is

4 0
3 years ago
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