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Musya8 [376]
2 years ago
9

2x(5x-2) expanding brackets

Mathematics
1 answer:
Inga [223]2 years ago
8 0

Step-by-step explanation:

2x(5x-2)

= 2x*5x - 2x*2 (Distributive property)

= 10x^2 - 4x

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A jet is coming in for a landing. It's currently 25,000 feet in
Mariana [72]

The angle of depression is 29.0521°. So it is a safe landing.

Step-by-step explanation:

Step 1:

The plane is flying at a height of 25,000 feet and 45,000 feet away from the landing strip. Assume it lands with an angle of depression of x°.

So a right-angled triangle can be formed using these measurements. The triangle's opposite side measures 25,000 feet while the adjacent side measures 45,000 feet. The angle of the triangle is x°.

To determine the value of x, we calculate the tan of the given triangle.

tanx = \frac{opposite side}{adjacent side}.

Step 2:

The length of the opposite side = 25,000 feet.

The length of the adjacent side = 45,000 feet.

tan x = \frac{25,000}{45,000} = 0.5555.

So x = 29.0521°. Since x < 30°, it is a safe landing.

8 0
3 years ago
Kristin won 44 lollipops playing basketball at her school's game night. Later, she gave two to each of her friends. She only has
Colt1911 [192]
21 friends.



44 - 2x = 2, where x is the number of friends Kristin has.

Subtract 2 on each side.

42 - 2x = 0

Add 2x on each side.

42 = 2x

Divide by 2 on each side.

42 / 2 = x

21 = x

Kristin has 21 friends.



Please consider marking this answer as Brainliest to help me advance.
6 0
2 years ago
4.5 is 7.5% of what number?
Crank

Answer:

60

Step-by-step explanation:

3 0
2 years ago
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a square garden has a diagonal of 12 m. What is the perimeter of the garden? Express in simplest radical form
lianna [129]

Answer:

The perimeter of the garden, in meters, is 24\sqrt{2}

Step-by-step explanation:

Diagonal of a square:

The diagonal of a square is found applying the Pythagorean Theorem.

The diagonal of the square is the hypothenuse, while we have two sides.

Diagonal of 12m:

This means that d = 12, side s. So

s^2 + s^2 = 12^2

2s^2 = 144

s^2 = \frac{144}{2}

s^2 = 72

s = \sqrt{72}

Factoring 72:

Factoring 72 into prime factors, we have that:

72|2

36|2

18|2

9|3

3|3

1

So

72 = 2^{3}*3^{2}

So, in simplest radical form:

s = \sqrt{72} = \sqrt{2^{3}*3^{2}} = \sqrt{2^3}*\sqrt{3^2} = 2\sqrt{2}*3 = 6\sqrt{2}

Perimeter of the garden:

The perimeter of a square with side of s units is given by:

P = 4s

In this question, since s = 6\sqrt{2}

P = 4s = 4*6\sqrt{2} = 24\sqrt{2}

The perimeter of the garden, in meters, is 24\sqrt{2}

5 0
2 years ago
How to write 3 9/100 as a decimal?
Artemon [7]
3 9/100 would be written as a decimal like this, 3.09. You say three and nine one hundredths. The 9 has to be in the hundredths place, so you put a 0 in front of it. And since the 3 is hole, you put it in front of the decimal point.
6 0
3 years ago
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