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lesantik [10]
3 years ago
6

what is the area, in square inches, of the largest triangle that can fit into a 3-inch by 4-inch rectangle. please show how you

got your answer:)

Mathematics
1 answer:
AnnyKZ [126]3 years ago
4 0
The area of the largest triangle would be 6 inches².

How did I get this? I'll explain first:

We would want our triangle to have the longest sides, so it can be big. If you think of a rectangle, a triangle can fit into it if:

The base (bottom) of the triangle is the same length as one side of the rectangle, and the other side of the triangle is perpendicular (90°) to the bottom and is the same length of the other side of the rectangle.

Okay, just picture it: two sides of the triangle are resting in the two sides of the rectangle, and the third side of the triangle is a line that splits the rectangle in half from one corner to the other.

I've added an image to explain.

The formula to find the area of a triangle is half of the base × height.

A of Δ = half of 3 × 4
A = 1.5 × 4 = 6 inches²!

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inysia [295]

Answer: C) 133

Step-by-step explanation:

The formula to find the sample size is given by :-

n=(\dfrac{z^*\cdot\sigma}{E})^2

, where z* = Critical z-value

\sigma = Population standard deviation for prior study.

E= Margin of error.

As per given , we have

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The critical z-value for 90% confidence level is 1.645.

Substitute al;l the value sin the above formula  , we get

n=(\dfrac{1.645\times 35}{5})^2

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Hence, the minimum sample size needed is 133.

Thus , the correct answer is : C) 133

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sveticcg [70]

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Step-by-step explanation:

the output variable y is 12 less then the input variable x.

Input variable is x, output variable is y

output values = input variable - 12

now plug in the variable in the equation

output values = input variable - 12

Given the input value is 41

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