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il63 [147K]
2 years ago
15

Help pls!! I don’t understand

Mathematics
1 answer:
Debora [2.8K]2 years ago
7 0
\bold{ANSWER:}
x = 55

\bold{SOLUTION:}

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The 13-foot string is arranged into a rectangle. Let L denote the length of the rectangle,
soldi70 [24.7K]

The expressions for the width, W, and area, A, of the rectangle in terms of L are:

  • W = \frac{13}{2} - L
  • A = \frac{13L - L^{2} }{2}

The expression for the perimeter of a rectangle is given as:

P = 2(L + W)

where L is its length and W its width

a. Given that the perimeter of the rectangle is 13 feet, then;

13 = 2(L + W)

divide through by 2

\frac{13}{2} = L + W

So that;

W = \frac{13}{2} - L

The required formula for the width as a function of L is: W = \frac{13}{2} - L

b. Area of a rectangle can be expressed as;

A = L * W

substitute the expression for width in that of area to have

A = L * ( \frac{13}{2} - L)

  = \frac{13}{2}L - L^{2}

A = \frac{13L - L^{2} }{2}

The expression for the area A is: A = \frac{13L - L^{2} }{2}

Visit: brainly.com/question/10452031

5 0
2 years ago
The diagram shows a rhombus inside a regular hexagon work out the angle x
kvv77 [185]

Answer:

<u>x = 60°</u>

Step-by-step explanation:

The rest of the question is the attached figure.

And it is required to find the angle x.

As shown, a rhombus inside a regular hexagon.

The regular hexagon have 6 congruent angles, and the sum of the interior angles is 720°

So, the measure of one angle of the regular hexagon = 720/6 = 120°

The rhombus have 2 obtuse angles and 2 acute angles.

one of the obtuse angles of the rhombus is the same angle of the regular hexagon.

So, the measure of each acute angle of the rhombus = 180 - 120 = 60°

So, the measure of each acute angle of the rhombus + the measure of angle x = the measure of one angle of the regular hexagon.

So,

60 + x = 120

x = 120 - 60 = 60°

<u>So, the measure of the angle x = 60°</u>

6 0
3 years ago
Find the product of (a²+b)(2a²-5b)
Lady bird [3.3K]
The answer is: 2a^4 - 3a^2 b - 5b^2
5 0
3 years ago
et mA = 40°. If B is a complement of A, and C is a supplement of B, find these measures. mB = ° mC = °
Free_Kalibri [48]

Alright, lets get started.

We have given angle A = 40°

We are also given angle B is complement of A.

Complementary angles are two angles whose sum is 90, it means

angle B = 90- A

angle B = 90 - 40

angle B = 50° Answer

Now given, angle C is supplement of angle B.

Supplementary angles are two angles whose sum is 180°.

Means angle C = 180 - B

angle C = 180 - 50

angle C = 130° : Answer

Means angle B = 50° and angle C = 130°

Hope it will help :)

5 0
3 years ago
NEED THIS DONE SOON
Sati [7]

65Answer:

we can use sin to find the missing length

Step-by-step explanation:

The ratio states that sin of an angle=opposite/hypotenuse

sin(65)=x/6 since we know the angle and the hypotenuse we need to figure out the opposite side

sin(65)=0.906307...

0.906307=x/6

Multiply 6 on both sides to isolate x

The answer is 5.4378...

Rounded to the hundredth is 5.44

5 0
2 years ago
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