If 50% of a number is 170 and 85% of the same number is 289, find 35% of that number.

1 answer:

4 0

The answer to it is 119

since 50% of the number is 170 just multiply 170 by 2 to get 340, then find 35% of 340. 10% of 340 is 34, multiply 34 by 3.5 to get 119.

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Answer:

Option (3)

Step-by-step explanation:

Since, flowerbed is in the shape of a right triangle,

By applying Pythagoras theorem in the given right triangle,

(Hypotenuse)² = (leg 1)² + (leg 2)²

(Hypotenuse)² = (12)² + (12)²

(Hypotenuse)² = 144 + 144

Hypotenuse = √288

Hypotenuse = 16.97

≈ 17 ft

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= 12 + 12 + 17

= 41 ft

Therefore, Option (3) will be the correct option.

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3 years ago

If T: (x, y) → (x + 6, y + 4), then T-1: (x,y) → _____.

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T is a linear transformation from R²→R² with basis {(1,0),(0,1)}
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A function from one vector space to another that preserves the underlying (linear) structure of each vector space is called a linear transformation.

Then the vector (1,0) goes to (1+6,4)=(7,4)=7(1,0)+4(0,1)

and the vector (0,1) goes to (6,1+4)=(6,5)=6(1,0)+5(0,1)

So, the matrix of the transformation is

$\left[\begin{array}{ccc}7&6\\4&5\end{array}\right]$

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$\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]$

So, the Inverse Transformation is given by

$T^{-1}(x,y)=\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =(\frac{5x-6y}{11}, \frac{-4x+7y}{11})$