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Bezzdna [24]
2 years ago
15

· The angles of a pentagon are in the ratio4:8 : 6 : 4 : 5. Find each angle of thepentagon​

Mathematics
1 answer:
SVEN [57.7K]2 years ago
7 0

Answer:

540 degrees in a pentagon

4 + 8 + 6 + 4 + 5 = 27

540/27 = 20

4 X 20 = 80 degrees

8 X 20 = 160 degrees

6 X 20 = 120 degrees

4 X 20 = 80 degrees

5 X 20 = 100 degrees

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What is the equation of a parabola that has a vertex at ( 0,4 ) and passes through points ( 2,0 )?
vlada-n [284]

Answer:

<u>y = -x² + 4</u>

Step-by-step explanation:

The equation of the parabola in the vertex form is:

y = a (x-h)² + k

Where: (h,k) the coordinates of the vertex & a is a multiplier

The parabola has a vertex at ( 0,4 )

So, h = 0 , k = 4

∴ y = a (x-0)² + 4

∴ y = a x² + 4

The parabola passes through points ( 2,0 )

∴ 0 = a 2² + 4

∴ 4 a = -4  ⇒ a = -4/4 = -1

∴ y = -x² + 4

So, the equation of a parabola that has a vertex at ( 0,4 ) and passes through points ( 2,0 ) is <u>y = -x² + 4</u>

See the attached figure.

4 0
3 years ago
What is the distance between the points (-2, 5) and (4, -3)?
Soloha48 [4]
See the attachment..........

8 0
2 years ago
In a popular casino​ game, you can bet one whether a ball will fall in an arc on a wheel colored​ red, black, or green. Say the
qaws [65]

Answer:

The expected net winnings for the bet are -$1.0526

Step-by-step explanation:

P(x =+$20) = P(Black outcome) = 18/38

P(x =-$20) = P(red outcome) + P(green outcome)

= 18/38 + 2/38 = 20/38

Hence the probability distribution of x = $20 , P(x) = 18/38

x = -$20, P(x) = 20/38

Expected value of the random variable x is given by ;

miu = Summation [xP(x)] = 20(18/38) - 20( 20/38)

= -$1.0526

hence, the expected net winnings for the bet are -$1.0526

This implies that if a player bet on a very large number of games, the player would on the average lose $1.0526 per single bet

8 0
3 years ago
A machine is used to fill bags with sand. the average weight of a bag filled with sand is 22.3 pounds. Write an absolute value f
frutty [35]

Answer:

y=f(x)=|x-22.3|

Step-by-step explanation:

Let the weight of the bag of sand with an unknown weight be given as "x" pounds. Then, the difference between the weight of an average bag of sand which is given to be as 22.3 pounds,  is given as x-22.3. Therefore, the absolute value function describing the difference between the weight of an average bag of sand and a bag of sand with an unknown weight will be given as: |x-22.3|.

Let us represent this by f(x) or y. And thus, we get:

y=f(x)=|x-22.3|

5 0
3 years ago
2+4q=20 please help me with this problem thank you..
Mashutka [201]
2+4q=20
4q=18
q=9/2

hope this helps u
8 0
3 years ago
Read 2 more answers
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