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3 years ago

)Which statement best describes the area of the triangle shown below?

Mathematics

1 answer:

nasty-shy [4]3 years ago

3 0

9514 1404 393

Answer:

(b) It is one-half the area of a square of side length 4 units.

Step-by-step explanation:

The triangle described can be formed by drawing the diagonal through a square 4 units on a side. Such a diagonal cuts the square cleanly in half, so the area of the triangle is half the area of the square.

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When deriving the quadratic formula by completing the square, what expression can be added to both sides of the

liubo4ka [24]

Answer:

The element you add is $b^2 / 4a$

Step-by-step explanation:

The element you add is $b^2 / 4a$

Remember that

$a x^2 + bx +c \\= a ( x^2 +(b/a)x ) + c$

So, in order to complete the square you add $(b/2a)^2$

But when you multiply times $a$ you get

$b^2 / 4a$

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ruslelena [56]

Answer:

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Step-by-step explanation:

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alukav5142 [94]

Answer: 1

Step-by-step explanation:

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3 years ago

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A square is cut diagonally into two equal parts. If each part has an area of 50 cm2, then what is the perimeter of each part?

statuscvo [17]

Answer:

30cm

Step-by-step explanation:

Given data

When are square is cut diagonally into two parts

The resulting shape is a triangle

hence the area of the square = 50+50 = 100cm^2

The length of each side of the square = √100= 10cm

likewise the diagonal of the square = 10cm

Hence the perimeter of the resulting triangle= 10+10+10= 30cm

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3 years ago

A yearbook company was investigating whether there is a significant difference between two states in the percents of high school

Keith_Richards [23]

Answer: D. two-sample z-test for a difference in population proportions

Step-by-step explanation:

The options for the given questions were missing. The options are as follows:

A one-sample z-test for a sample proportion

B one-sample z-test for a population proportion

C two-sample z-test for a difference in sample proportions

D two-sample z-test for a difference in population proportions

Solution:

Sample proportions are used to estimate population proportions.

We are given the sample proportion of students from one state who ordered a yearbook = 70/150

We are also given the sample proportion of students from the other state who ordered a yearbook = 65/100

Since there are 2 samples and we want to investigate if there is a difference between 2 population of students,

Therefore, the most appropriate method for analyzing the results is

D. two-sample z-test for a difference in population proportions

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3 years ago