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nevsk [136]
3 years ago
5

Find a formula for the described function. A rectangle has area 49 m2. Express the perimeter of the rectangle as a function of t

he length L of one of its sides. P(L) = ___State the domain of P. (Assume the length of the rectangle is larger than its width. Enter your answer using interval notation.)
Mathematics
1 answer:
Anna71 [15]3 years ago
7 0

Answer:

P(L)=2L+98m^2/L

Step-by-step explanation:

The area (A) of a rectangle is equal to the length (L) of one of its sides times its width (w)

A=L*w (eq. 1)

And its perimeter can be calculated with the next formula:

P=2(L+w) (eq. 2)

Solving for <em>w </em>in eq. 1, and plugging it into eq. 2

w=A/L (eq. 3)

P=2(L+A/L)=2L+2A/L (eq. 4)

We know that A=49m^2, plugging in this value into eq. 4, we finally get into the answer:

P=2L+98m^2/L

If the length of the rectangle is larger than its width:

L>w\\L>A/L\\L^2>\sqrt{A} \\|L|>\sqrt{A}

|L|>7

L7

We know that a length can't be negative value, so the only valid interval is L>7. The domine of P is then:

L>7

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In the regular octagon below, if AP = 12 cm. and BC = 19 cm, find its area.
Blizzard [7]

First symmetrically cut the octagon to get 8 pieces. (So that you will get the idea that this polygon is divided into 8 triangles)

Then find the area of one of the triangles:

Area of Triangle = \frac{1}{2} * b* h

A = \frac{1}{2} × 12 × 19

A = 114 cm²

To find the area of the whole octagon shape:

A = 114 × 8 = 912 cm²

<em>Hope it helps!</em>

5 0
1 year ago
Read 2 more answers
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olasank [31]

Answer:

4. No

5. No

6. No

7. No

8. No

9a. 2 : 3 = 8 : 12 Extremes: 2, 12. Means: 3, 8

9b. 90 : 36 = 135 : 54 Extremes: 90, 54. Means: 36, 135

Step-by-step explanation:

4. 12 : 25 and 6 : 13 are NOT equal. NO.

5. 64 : 120 = 8 : 15 and 60 : 100 = 3 : 5. NOT equal. NO

6. 37 : 115 and 296 : 966 =  148 : 483. NOT equal. NO

7. 300 : 200 = 3 : 2 and 6 : 5 are NOT equal. NO.

8. 8 : 10 = 4 : 5 and 11 : 14 are NOT equal. NO.

9a. 2 : 3 = 8 : 12 Extremes: 2, 12. Means: 3, 8

9b. 90 : 36 = 135 : 54 Extremes: 90, 54. Means: 36, 1135

6 0
3 years ago
The weight of 3 eggs is shown. Identify the constant of proportionally of total weight to number of eggs. The weight of the eggs
HACTEHA [7]
It would be 48g per egg
8 0
3 years ago
B) y = 3 = 2х<br><br> Is this relation linear or non-linear? Explain why.
Alika [10]

Answer:

I think you meant: y=3+2x, in that case, this is a linear answer

Step-by-step explanation:

Non- linear would look like this: K=2/3

Linear would look like this: Y=4x+7

Why:

It all comes to what is proportional and what is not.

Hoped this helped!

3 0
3 years ago
How much sugar did jordan eat total after eating all of his meals?
Reptile [31]
23/8 hope it helps,,....................
7 0
3 years ago
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