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just olya [345]
3 years ago
7

The length of a rectangle is 2 units shorter than one-fifth of the width, x.

Mathematics
1 answer:
sergey [27]3 years ago
5 0

Answer:

C. P=\frac{12x}{5} + 4

Step-by-step explanation:

Width = x

Length = one fifth of width minus 2

Length = \frac{1}{5}x-2

Perimeter is given by the formula

P=2(l+b)

P=2(\frac{1}{5}x-2+x)

P=2(\frac{x}{5}-2+x)

P=2\times \frac{x-2 \times 5+5 \times x}{5}

P=2\times \frac{x-10+5x}{5}

P=2\times \frac{6x}{5} - 2\times \frac{-10}{5}

P=2\times \frac{6x}{5} + 2\times \frac{10}{5}

P=\frac{12x}{5} + 4

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Answer:

x = 2\sqrt7

y = 2\sqrt7

Step-by-step explanation:

Hello!

This is a right isosceles triangle (45°-45°-90°). You can solve for the missing angle by simply subtracting 45° and 90° from 180° (sum of angles in a triangle equals 180°)

Since the triangle is isosceles, x and y are congruent because they are the legs opposite to the congruent angles.

In a right isosceles triangle, the hypotenuse is always the measure of one leg multiplied by \sqrt2.

So, let's use leg y, y\sqrt2 = 2\sqrt{14}

Solve for y:

y\sqrt2 = 2\sqrt{14}\\\\y = $\frac{2\sqrt{14}}{\sqrt2}$\\\\y = 2\sqrt7

y = 2\sqrt7, which means that x is also 2\sqrt7

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2 years ago
Tonya has 39 packages.Each package weighs 6 pounds.<br> a.2,400lb<br> b.240lb<br> c.200lb<br> d20lb
Umnica [9.8K]

Each package weighs 6 pounds. Choose the best estimate of the total weight of the packages.2,400 pounds 240 pounds 200 pounds 20 pounds.

3 0
2 years ago
When c=-7, evaluate 4(9/4+5/7c)
goblinko [34]

Hey there!

4(9/4 + 5/7c)

= 4(9/4 + 5/7(-7))

= 4(9/4) + 20/7(-7)

= 4(9/4) - 20

= 9 - 20

= -11

Therefore, your answer is: -11

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7 0
2 years ago
15x^4+6x^3-7x^2÷3x^2+1
pishuonlain [190]
\\ \frac} }{38/3} x^{4} +6 x^{3} + 1=0

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3 years ago
In a two digit number, the tens digit is 2 less than the units digit multiplied by three. The reversed number is half the origin
Papessa [141]

Answer:

73

Step-by-step explanation:

Original number: XY

x = 3y - 2

10y + x = (10x + y) / 2 + 1/2

substitution: 10y + 3y - 2 = 13y - 2 = (10 * (3y - 2) + y) / 2 + 1/2

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31y - 26y = -4 + 19

5y = 15

y = 3

x = 7

Original number: 73

8 0
2 years ago
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