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Strike441 [17]
3 years ago
8

Need help pls respond asap!

Mathematics
1 answer:
Tamiku [17]3 years ago
3 0

Answer:

  • n\sqrt{5}

Step-by-step explanation:

The length of the legs is n and 2n.

<u>The hypotenuse is:</u>

  • PQ = \sqrt{n^2+(2n)^2} =\sqrt{5n^2} =n\sqrt{5}
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Anettt [7]
The answer you're looking for is 40 tennis balls.
Hope this helped!
3 0
3 years ago
In 2013, the population of China was estimated to be 1,360,760,100. Round off the number of people 
Aleksandr [31]

Answer:

a) 1,360,760,000

b) 1,361,000,000

c) 1,400,000,000

d)  1,360,800,000

Step-by-step explanation:

We have to round off the given population number to certain digits.

The following are the rules to round of a number:

  1. First identify the digit to be rounded.
  2. If this digit is followed by 5,6,7,8,9 then we round up the number that is increase the digit by 1 and all the numbers to right becomes zero.
  3. If this digit is followed by 0,1,2,3,4 then we round down the number that is decrease the digit by 1 and all the numbers to right becomes zero.

a)  to the nearest thousand.

Thousands place: 0

Right Digit: 1

We round down the number

Rounded to the nearest 1,000 or t he thousands Place =  1,360,760,000

b)  to the nearest million

Millions place: 0

Right Digit: 7

We round up the number

Rounded to the nearest million places = 1,361,000,000

c)  to nearest hundred million

Hundred million place: 3

Right Digit: 6

We round up the number

Rounded to the nearest million places = 1,400,000,000

d)  to the nearest hundred thousand.

hundred thousand place: 7

Right Digit: 6

We round up the number

Rounded to the nearest million places = 1,360,800,000

7 0
3 years ago
Read 2 more answers
two mountain bikers leave from the same parking lot and head in opposite directions on two different trails. the first rider goe
sveta [45]

Applying the required <em>rule </em>or <em>theorem</em>, it can be concluded that the second biker is <u>farther</u> from the <em>parking lot</em>. The distance of the bikers to the <em>parking lot</em> are:

i. First biker = 17.0 km

ii. Second biker = 20.22 km

The <u>path</u> of travel of both bikers would form a triangle. Applying the <u>Pythagoras</u> theorem to the path of the <em>first</em> biker would give his <u>distance</u> from the starting point. While applying the <u>cosine</u> rule to the path of <em>second</em> rider would gives his <u>distance</u> to the starting point.

Thus,

a. <u>To determine the distance of the first biker from the parking lot.</u>

Let the required <em>distance </em>be represented by x. Applying the Pythagoras theorem, we have:

hyp^{2} = adj 1^{2} + adj 2^{2}

x^{2} = 8^{2} + 15^{2}

   = 64 + 225

   = 289

x = \sqrt{289}

  = 17

x = 17 km

Thus, the <u>first</u> biker is 17.0 km from the <em>starting</em> point.

b. <u>To determine the distance of the second biker from the parking lot.</u>

Let the required <em>distance</em> be represented by x. So that applying the cosine rule, we have:

c^{2} = a^{2} + b^{2} - 2ab Cos θ

x^{2} = 8^{2} + 15^{2} - 2(15*8) Cos (180 - 20)

    = 64 + 225 - 240 Cos 160

    = 289 - 240 * -0.5

x^{2} = 289 + 120

   = 409

x = \sqrt{409}

 = 20.2237

x = 20.22 km

Thus, the <u>second</u> biker is 20.22 km from the <em>starting</em> point.

Therefore, the second biker is <u>farther</u> from the <em>parking lot</em>.

A sketch of the path of travel for the two bikers is attached for more clarifications.

Visit: brainly.com/question/22699651

7 0
2 years ago
Sarah buys 2 candy bars for $1.45. how much would one candy bar cost
sattari [20]
2 = $1.45
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4 years ago
write the following inequality in slope-intercept form. –6x 2y ≤ 42 a. y ≥ 3x 21 b. y ≤ 3x – 21 c. y ≥ 3x – 21 d. y ≤ 3x 21
borishaifa [10]
-6x + 2y =< 42
2y =< 6x + 42
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