Whoever helps me with this I'll give brainliest and extra points! :)

The difference between the acute angles of a right angled triangle is 72degree find them .

MaRussiya [10]

The 2 angles add up to 90 degrees so

x + y = 90, also:-

x - y = 72 (given)

adding the 2 equations:-

2x = 162

x = 81

and therefore

y + 81 = 90

y = 9

Answer the 2 angles are 81 and 9 degrees

5 0

2 years ago

Match each expression in the left column with the correct product in the right column.

lesya692 [45]

Answer:

-6

-6i

6i

6

Step-by-step explanation:

1) √4 . √-3 . √-3

$\sqrt{4} = 2$

$\sqrt{-3} . \sqrt{-3} = (\sqrt{-3})^2$

$\sqrt{4} . (\sqrt{-3})^2 = 2 \times -3 =$ -6

2) √-4 . √-3 . √-3

$\sqrt{-4} = 2i$ .

Therefore, $\sqrt{-4} . \sqrt{-3} . \sqrt{-3} = 2. \sqrt{-1} \times -3 = 2i \times (-3) =$ - 6i

3) √4 . √3 . √-3

$\sqrt{4} = 2$

$\sqrt{3} . \sqrt{-3} = (\sqrt{3})^2 . \sqrt{-1}$

$\implies 2 \times 3i =$ 6i

4) √4 . √3 . √3

$\sqrt{4} = 2$

$\sqrt{3} . \sqrt{3} = (\sqrt{3})^2 = 3$

Therefore, √4 . √3 . √3 = 2 . 3 = 6

5 0

3 years ago

A researcher obtained M = 27 for a sample of n = 36 scores selected from a population with µ = 30 and σ = 18. This sample mean c

dusya [7]

Answer:

True

Step-by-step explanation:

Given that:

M = 27, sample of n = 36 scores, µ = 30 and σ = 18.

The z score is used in statistics to determine by how many standard deviations the raw score is above or below the mean. If the z score is positive, the raw score is greater than the mean and if the z score is negative the raw score is less than the mean. The z score is given as:

$z=\frac{x-\mu}{\sigma}$

Given that M = 27, this means that x = 27. Therefore:

$z=\frac{x-\mu}{\sigma}\\\\for \ a\ sample\ size(n):z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\z=\frac{27-30}{18/\sqrt{36} } =\frac{-3}{3}=-1$

This sample mean corresponds to a z-score of z = –1.00.

7 0

3 years ago

I-Ready | Construction of Triangles | Practice - Level G | Question 2

r-ruslan [8.4K]

B. Is correct I think. Hope this helped you

5 0

3 years ago

Mr. Fitch hires a landscape architect to renovate his front yard the rectangular yard is 30 feet long is the area of the front y

Vinil7 [7]

Answer:

The width of the yard is 20 ft

Step-by-step explanation:

In this particular question, we are asked to calculate the width of the rectangular front yard given the area of the front yard and the length of the front yard.

Mathematically, the area of the front yard is calculated by multiplying the length of the front yard by the breadth of the front yard.

Let’s say A = L * W

Substituting the known values, the unknown width would thus be:

W = A/L = 600 sq.ft / 30ft

W = 20 ft

7 0

2 years ago