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babymother [125]
3 years ago
14

One side of a kite is 5 cm less than 2 times the length of another. If the perimeter is 14 cm, find the length of each side of t

he kite.
A) 5 cm, 5 cm

B) 4.2 cm, 3.4 cm

C) 6.3 cm, 7.7 cm

D) 4 cm, 3 cm
Mathematics
1 answer:
Phoenix [80]3 years ago
7 0
<h3>Answer:</h3>

D) 4 cm, 3 cm

<h3>Step-by-step explanation:</h3>

Let x represent the length of "another" side. Then "one side" can be represented by (2x -5 cm).

The perimeter of the kite is the sum of two sides of each length:

... P = 14 cm = 2(x) + 2(2x -5 cm)

Dividing by 2 and collecting terms, we have ...

... 7 cm = 3x -5 cm

... 12 cm = 3x

... 4 cm = x . . . . the length of "another" side

... 2(4 cm) -5 cm = 3 cm . . . . the length of "one side"

The two different side lengths are 4 cm and 3 cm.

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Elaine spent 7/10 of her paycheck, and 5/9 of the money she spent was spent on groceries. What part of her paycheck was spent on
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The answer has to be 1,350 is that one of your options

6 0
3 years ago
The paint mixer wants to mix paint that is 30% gloss with paint that is 15% gloss to make 3.75 gallons of paint that is 20% glos
Kipish [7]

The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.

In this question we must determine the correct volumes of each paint to obtain a 20 % gloss with paint by means of weighted averages:

c_{r} = x\cdot c_{a} +(1-x)\cdot c_{b} (1)

Where:

  • x - Proportion of the paint that is 30 % gloss.
  • c_{a} - Concentration ratio of the paint that is 30 % gloss.
  • c_{b} - Concentration ratio of the paint that is 15 % gloss.
  • c_{r} - Resulting concentration ratio

If we know that c_{a} = 0.3, c_{b} = 0.15 and c_{r} = 0.2, then the proportion of the paint that is 30 % gloss is:

0.2 = 0.3\cdot x +(1-x)\cdot 0.15

0.2 = 0.15\cdot x+0.15

0.15\cdot x = 0.05

x = 0.33

And the quantity of gallons needed of each paint are:

Paint (30 % gloss)

V_{a} = 0.33\cdot (3.75\,gal)

V_{a} = 1.238\,gal

Paint (15 % gloss)

V_{b} = V-V_{a}

V_{b} = 3.75\,gal-1.238\,gal

V_{b} = 2..512\,gal

The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.

To learn more on weighted averages, we kindly invite to check this question: brainly.com/question/18554478

8 0
2 years ago
Pls, can you help me? thx.<br><img src="https://tex.z-dn.net/?f=%20%5Ccos%28x%20%2B%20%5Cfrac%7B%5Cpi%7D%7B3%7D%29%20%5Cgeqslant
Veseljchak [2.6K]

For x between -\pi and \pi, we have

  • \cos x=\frac{\sqrt2}2=\frac1{\sqrt2} when x=\pm\frac\pi4;
  • \cos x=1 for x=0; and
  • \cos x=0 for x=\pm\frac\pi2

\cos x is continuous over its domain, so the intermediate value theorem tells us that

\cos x\ge\frac{\sqrt2}2

is true for -\frac\pi4\le x\le\frac\pi4.

For all x, we take into account that \cos x is 2\pi-periodic, so the above inequality can be expanded to

-\dfrac\pi4\le x+2n\pi\le\dfrac\pi4

where n is any integer. Equivalently,

-\dfrac\pi4-2n\pi\le x\le\dfrac\pi4-2n\pi

To get the corresponding solution set for

\cos\left(x+\dfrac\pi3\right)\ge\dfrac{\sqrt2}2

simply replace x with x+\frac\pi3:

-\dfrac\pi4-2n\pi\le x+\dfrac\pi3\le\dfrac\pi4-2n\pi

\implies\boxed{-\dfrac{7\pi}{12}-2n\pi\le x\le-\dfrac\pi{12}-2n\pi}

7 0
3 years ago
Use your shapes to create a new shape with an area of 1 square unit that is not a square. Trace your shape.
Elena-2011 [213]

A new shape with an area of 1 square unit that is not a square can be formed by combining two small triangles

<h3>How to determine the new shape?</h3>

The given parameters are:

  • Area of square = 1 square unit
  • Large triangles = 2
  • Medium triangles = 1
  • Small triangles = 4

The area of each small triangle is:

Area = 0.5 square unit

Multiply both sides by 2

2 * Area of triangle = 1 square unit

Substitute Area of square = 1 square unit

2 * Area of triangle = Area of square

This means that a new shape can be formed by combining two small triangles

Read more about area at:

brainly.com/question/24487155

#SPJ1

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2 years ago
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40 Butterflies at Swallowtail :D

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3 years ago
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