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Aleks04 [339]
3 years ago
9

A manufacturer makes rectangular blankets in several styles and sizes. The outline of a popular blanket in size A is shown below

(Height- 2x-3cm, Width- 3x+7cm)
A. Write a polynomial expression in simplified form, that represents the perimeter of the blanket.
Mathematics
1 answer:
nikdorinn [45]3 years ago
6 0

Answer:

(10x + 8) is the polynomial expression for the perimeter of the blanket.

Step-by-step explanation:

The height and width of the rectangular blanket are (2x - 3) cm and (3x + 7) cm respectively.

Now, the perimeter of a rectangle having height h and width w is given by  

P = 2h + 2w

⇒ P = 2(2x - 3) + 2(3x + 7)

⇒ P = 4x - 6 + 6x + 14

⇒ P = 10x + 8.

So, this is the polynomial expression for the perimeter of the blanket. (Answer)

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A rectangular prism has a top face with an area of 20 ft2 and a height of 5 ft. What is the volume of this rectangular prism? Th
kkurt [141]

Answer:

the volume of the rectangular prism is 100 ft³  

Step-by-step explanation:

Given;

area of top face of a rectangular prism, A = 20 ft²

height of the rectangular prism, h = 5 ft

Volume of the rectangular prism =  Area of top face x height of the rectangular prism

Volume of the rectangular prism = A x h

Volume of the rectangular prism = 20 ft² x  5 ft

                                                       = 100 ft³

Therefore, the volume of the rectangular prism is 100 ft³                                      

6 0
3 years ago
The question is in the picture I know it's solved but I'm not sure how to solve it
lyudmila [28]

The component of the cars velocity eastward is 14 m/s

A vector is an quantity that has both magnitude and direction.

Vector resolution is the method of separating a vector into its horizontal component as well as its vertical component.

The horizontal component of a vector is the influence of the velocity on the object horizontally.

Given that the velocity (V) = 24 m/s, the angle (θ) = 90° - 35° = 55°

Therefore:

Car velocity eastward (Vₓ) = Vcos(θ) = 24 * cos(55) = 14 m/s

The component of the cars velocity eastward is 14 m/s

Find more at: brainly.com/question/12526159

3 0
3 years ago
Find the scale factor of the dilation. Then tell whether the dilation is a reduction or an enlargement
LiRa [457]

The scale factor is six and the dilation is an enlargement.

5 0
3 years ago
Read 2 more answers
Rephrase in contrapositive form:
miv72 [106K]

Step-by-step explanation:

Consider the provided information.

For the condition statement p \rightarrow q or equivalent "If p then q"

The rule for Contrapositive is: Negative both statements and interchange them. \sim q \rightarrow \sim p

Part (A) If you are taller than 6 ft, then it is unpleasant for you to travel in economy class.

Here p is "you are taller than 6 ft, and q is "it is unpleasant for you to travel in economy class".

It is given that Your contrapositive must not contain explicit references to negation. Assume that the negation of "unpleasant" is "pleasant".

Contrapositive: If it is pleasant for you to travel in economy class then you are not taller than 6 ft then.

Part (B) "If x ≥ 0 and y ≥ 0 then xy ≥ 0" where x, y are real numbers.

Here p is "xy≥ 0, and q is "x ≥ 0 and y ≥ 0"

The negative of xy≥ 0 is xy<0, x ≥ 0 is x<0 and y ≥ 0 is y<0.

Remember negative means opposite.

Contrapositive: If xy < 0 then x<0 and y<0.

8 0
3 years ago
Pls help, and hurry. i will give anyone brainliest if you give the correct answer.
Anna11 [10]

Answer:

Two answers:

22 ≥ v

OR

v ≤ 22

Step-by-step explanation:

It's the same as solving for a variable in an equality. Imagine it as 17 = v - 5 for a moment. Simplify by subtracting 5 from both sides and re-add the inequality sign. This can be easily done since we are not multiplying or dividing, just adding and subtracting.

4 0
3 years ago
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