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adoni [48]
3 years ago
6

Find the length and width of a rectangle. Perimeter = 50 Side A = 3x + 2 Side B = x - 5

Mathematics
2 answers:
nirvana33 [79]3 years ago
6 0

Answer:

Length of rectangle = 3(7) + 2 = 23.

Width of rectangle = (7) - 5 = 2.

Step-by-step explanation:

zmey [24]3 years ago
4 0

Step-by-step explanation:

Perimeter = 2 * (Side A + Side B)

= 2 * (3x + 2 + x - 5)

= 2 * (4x - 3)

= 8x - 6.

We have 8x - 6 = 50, so 8x = 56 and x = 7.

Length of rectangle = 3(7) + 2 = 23.

Width of rectangle = (7) - 5 = 2.

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3 years ago
A geometric series has second term 375 and fifth term 81 . find the sum to infinity of series .
Eduardwww [97]

Answer:  \bold{S_{\infty}=\dfrac{3125}{2}=1562.5}

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

  a₁,  375,  a₃,   a₄,  81

First, let's find the ratio (r). There are three multiple from 375 to 81.

375r^3=81\\\\r^3=\dfrac{81}{375}\\\\\\r^3=\dfrac{27}{125}\qquad \leftarrow simplied\\\\\\\sqrt[3]{r^3} =\sqrt[3]{\dfrac{27}{125}}\\ \\\\r=\dfrac{3}{5}

Next, let's find a₁

a_1\bigg(\dfrac{3}{5}\bigg)=375\\\\\\a_1=375\bigg(\dfrac{5}{3}\bigg)\\\\\\a_1=125(5)\\\\\\a_1=625

Lastly, Use the Infinite Geometric Sum Formula to find the sum:

S_{\infty}=\dfrac{a_1}{1-r}\\\\\\.\quad =\dfrac{625}{1-\frac{3}{5}}\\\\\\.\quad =\dfrac{625}{\frac{2}{5}}\\\\\\.\quad = \dfrac{625(5)}{2}\\\\\\.\quad = \large\boxed{\dfrac{3125}{2}}

7 0
3 years ago
Use trig identities to transform the left side of the equation to the right side.
Taya2010 [7]

<u>Answer and explanation</u>

(1+sinθ)(1-sinθ)=cos²θ

We are to prove that the left hand side is equal to the right hand side.

(1+sinθ)(1-sinθ) = 1(1-sinθ) + sinθ(1-sinθ)

                         = 1 - sinθ + sinθ - sin²θ

                          = 1 - sin²θ

From the trigonometric identity sin²θ + cos²θ = 1,

1 - sin²θ = cos²θ


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3 years ago
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irina [24]

Answer:

Given, side of an equilateral triangle is 2√3 cm. Hence, the area of an equilateral triangle is 5.196 cm2.

6 0
2 years ago
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