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mestny [16]
3 years ago
14

A) The perimeter of a rectangle is the sum of the lengths of its four sides. Write an expression for the perimeter of the rectan

gle and then evaluate when x=1/2 foot? B) The area of a rectangle is the product of its length and width. Write an expression for the area of the rectangle and then evaluate when x=1/2 feet?

Mathematics
1 answer:
goblinko [34]3 years ago
6 0

Answer:

Below

Step-by-step explanation:

The length of this triangle is 3x+1 and the width is x.

The perimeter P is:

P= 2(3x+1)+2*x

P= 6x+2+2x

P= 8x+2

Let's evaluate it when x=1/2

●1/2 =0.5

P= 8*0.5+2 =4+2= 6 ft

●●●●●●●●●●●●●●●●●●●●●●●●

The area A is:

A = (3x+1)*x

A= 3x^2 +x

Let's evaluate it when x=0.5 feet

A= 3*0.5^2 +0.5

A= 3*0.25+0.5

A= 0.75 +0.5

A= 1.25 ft^2

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Which of the equations below could be the equation of this parabola?
Mademuasel [1]

Answer:

Option B: y = -\frac{1}{2} x^2

Step-by-step explanation:

The parabola has its concavity downwards, so we need a function in the model:

y = ax^2 + bx + c

With a negative value of 'a'

The vertex is (0,0), so we have that:

0 = 0a + 0b + c

c = 0

The x-coordinate of the vertex is given by the equation:

x\_vertex = -b/2a

-b/2a = 0

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So we have a function in the model:

y = ax^2

With a < 0

The only option with this format is B:

y = -\frac{1}{2} x^2

7 0
3 years ago
If a seed is planted, it has a 75% chance of growing into a healthy plant.
Arlecino [84]

Answer:

It is binomial:

p= 0.75 = 75%

1-p = 0.25 = 25%

N = 10

k=7

"seven successes in 10 trials"

(10 choose 7) (0.75)^7 ( 0.25)^3 =

(10*9*8 / 3*2) * (0.75)^7 ( 0.25)^3 =

(5*3*8) (0.75)^7 ( 0.25)^3

120 (0.75)^7 ( 0.25)^3  

= 0.25028228759765625

or just over 25%

Step-by-step explanation:

5 0
3 years ago
Root of 6x^2 -8 = -8x
Svetlanka [38]

Answer:

If your question is set up like this \sqrt{6x^2-8}=-8x then your answer is No solution.

If your question is set up like this\sqrt{6x^2}-8=-8x then your answer is x=\frac{4(8-\sqrt{6}) }{29} or x = 0.765

Hope this helps!

8 0
3 years ago
What is the value of sin theta in the diagram below?
Kay [80]

sin theta = opp/hyp

sin theta =y/r

sin theta = 24/25 /1

sin theta = 24/25

c

7 0
3 years ago
Read 2 more answers
How do i solve this?
Damm [24]
From the ratio given you can determine that m is proportional to 1/(r^3). You can write this as m = k * 1/(r^3), k being your constant of proportionality. Then use this to calculate the next parts of the question.
6 0
3 years ago
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