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ICE Princess25 [194]
3 years ago
5

A rectangle has a height of 5y^3 and a width of 3y^3 - 8y^2 + 2y Express the area of the rectangle The answer should be a polyno

mial in standard form .
Mathematics
1 answer:
Makovka662 [10]3 years ago
6 0

Answer:

The area of the rectangle is 15y^6 -40y^5 + 10y^4

Step-by-step explanation:

In this question, given the width and length of a rectangle in polynomial form, we are asked to express the area of the rectangle in terms of the polynomials.

Generally, the area of a rectangle A is mathematically equal to Length * width

Using the terms in the question, our area A = 5y^3 [3y^3 -8y^2 +2y]

Opening this bracket we have;

15y^6 -40y^5 + 10y^4

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Solve for the 3 sides
mel-nik [20]

Answer:

1. x = 2√3 or 3.46

2. y = 4√3 or 6.93

3. z = 4√6 or 9.80

Step-by-step explanation:

1. Determination of the value of x.

Angle (θ) = 60°

Opposite = 6

Adjacent = x

Tan θ = Opposite /Adjacent

Tan 60 = 6 / x

√3 = 6/x

Cross multiply

x√3 = 6

Divide both side by √3

x = 6 / √3

Rationalise

x = (6 / √3) × (√3/√3)

x = 6√3 / 3

x = 2√3 or 3.46

2. Determination of the value of y.

Angle (θ) = 60°

Opposite = 6

Hypothenus = y

Sine θ = Opposite /Hypothenus

Sine 60 = 6/y

√3/2 = 6/y

Cross multiply

y√3 = 2 × 6

y√3 = 12

Divide both side by √3

y = 12/√3

Rationalise

y = (12 / √3) × (√3/√3)

y = 12√3 / 3

y = 4√3 or 6.93

3. Determination of the value of z.

Angle (θ) = 45°

Opposite = y = 4√3

Hypothenus = z

Sine θ = Opposite /Hypothenus

Sine 45 = 4√3 / z

1/√2 = 4√3 / z

Cross multiply

z = √2 × 4√3

z = 4√6 or 9.80

8 0
3 years ago
In n + 10 =40, then what is the value of the expression n - 25?
damaskus [11]
Find n first.


n+10= 40

Subtract 10.

n= 30

Plug in n.

30-25= 5

The answer is 5.

I hope this helps!
~cupcake
8 0
3 years ago
Read 2 more answers
1- Which comparison is NOT true?
Irina18 [472]

Answer:

D

Step-by-step explanation:

Process of Elimination:

A: 3.976 is greater than 3.97

B: 1.025 is lesser than 1.25

C: 9.145 is greater than 9.14

All of the options checked are true, leaving the answer only to be D.

6 0
2 years ago
I need help fast please I’ll give brainliest
Verdich [7]

Answer:

Try 12.5, hopefully this helps :)

4 0
3 years ago
Read 2 more answers
Solve this equation using an algebraic method: (x + 4)( x - 4) = 9<br> Help me out please
Artyom0805 [142]
You have to FOIL out the (x+4)(x-4) and then subrtract away the 9 in order to get a quadratic that you can solve for x.  As it is, you can't do it.
(x+4)(x-4)= x^{2} -4x+4x-16= x^{2} -16
Now if you move the 9 over with it, you get this:
x^{2} -16-9=0
which simplifies to
x^{2} -25=0
Now you can either solve this by recognizing that is the difference of perfect squares, or you can move the 25 over to the other side and take the square root of both sides, like this:
x^{2} =25
\sqrt{ x^{2} } = \sqrt{25}
x=+/-5
5 0
3 years ago
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