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2 years ago

A rectangle has a length of 2x +3 and a width of x + 1 (as shown below). Find the perimeter of the rectangle.

Mathematics

1 answer:

Marysya12 [62]2 years ago

8 0

Answer:

6x + 8

Step-by-step explanation:

The perimeter of the rectangle

P = 2(L + W)

Plug in

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

= 2(3x + 4)

Distributive property

= 6x + 8

Answer:

The perimeter of the rectangle = 6x + 8

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I keep putting in the formula but I keep getting the answer wrong

Advocard [28]

Answer:

314 in² (nearest whole number)

Step-by-step explanation:

Radius of a regular polygon: The distance from the center of the polygon to any vertex. The radius of a hexagon is equal to the length of one side.

Therefore, from inspection of the given diagram:

radius = 11 in ⇒ side length = 11 in

To find the area of a regular polygon, we first need to calculate the apothem. The apothem is the line drawn from the center of the polygon to the midpoint of one of its sides.

$\textsf{Length of apothem (a)}=\dfrac{s}{2 \tan\left(\frac{180^{\circ}}{n}\right)}$

where:

s = length of one side
n = number of sides

Given:

s = 11 in
n = 6

Substitute the given values into the formula and solve for a:

$\implies \textsf{a}=\dfrac{11}{2 \tan\left(\frac{180^{\circ}}{6}\right)}=\dfrac{11\sqrt{3}}{2}$

Area of a Regular Polygon

$\textsf{A}=\dfrac{n\:s\:a}{2}$

where:

n = number of sides
s = length of one side
a = apothem

Given:

n = 6
s = 11

$\textsf{a}=\dfrac{11\sqrt{3}}{2}$

Substitute the given values into the formula and solve for A:

$\implies \sf A=\dfrac{6 \cdot 11 \cdot \dfrac{11\sqrt{3}}{2}}{2}$

$\implies \sf A=314.3672216...$

$\implies \sf A=314\:\:in^2\:\:(nearest\:whole\:number)$

8 0

1 year ago

Is the following statement possible or impossible ?

STatiana [176]

Answer:

possible. it's a scalene triangle, an angle with different lengths

8 0

2 years ago

6. – 4y + 8x = 32 for y

MatroZZZ [7]

Answer:

The answer is: y=2x−8

Step-by-step explanation:

Step 1: Add -8x to both sides.

8x−4y+−8x=32+−8x

−4y=−8x+32

Step 2: Divide both sides by -4.

−4y−4=−8x+32−4

y=2x−8

4 0

2 years ago

Read 2 more answers

Rewrite this expression as a power of the given number. 4^2 = 2^

Mnenie [13.5K]

The answer is 2^4, since 4^2 is 16, 2•2=4 4•2=8 8•2=16

4 0

3 years ago

Read 2 more answers

Pls help i forgot how to do this :)

Delvig [45]

Answer:

in picture

Step-by-step explanation:

added in the picture

7 0

2 years ago