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2 years ago

What is the length of u and v in this 30-60-90 triangle

Mathematics

1 answer:

qwelly [4]2 years ago

8 0

Answer:

option 2

Step-by-step explanation:

Using trigonometric ratio:

$Cos \ 60 = \frac{adjacent } {hypotenuse} \\\\\frac{1}{2} = \frac{4}{u}\\\\1 \times u = 2 \times 4 \\\\u = 8$

Now using Pythagoras theorem we will find v

$8^2 = 4^2 + v^2\\\\64 = 16 + v^2\\\\v^2 = 64 - 16 \\\\v = \sqrt{48} = \sqrt{16 \times 3} = \sqrt{4^2 \times 3 } = 4\sqrt{3}$

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Number like 10,100,1000,and so on are called____

Nikolay [14]

If you mean 10;100;1,000, then they are called Powers of ten, and they're easy to represent as exponents.

7 0

3 years ago

Which of the following shows 15 more than a number, written as an algebraic expression?

Nikitich [7]

Answer:

$\large\boxed{15+n}$

Step-by-step explanation:

Hi!

15 more than a number is written as follows:

$\leadsto\boldsymbol{15+n}$ , Option A.

Have a nice day!

7 0

1 year ago

Read 2 more answers

The Sun is roughly 10^2 times as wide as the Earth. The Star KW Sagittarii is roughly 10^5 times as wide as the Earth. About how

Studentka2010 [4]

Answer:

1000 times

Step-by-step explanation:

Given:

The Sun is roughly 10^2 times as wide as the Earth.

The Star KW Sagittarii is roughly 10^5 times as wide as the Earth.

Question asked:

About how many times as wide as the Sun is KW Sagittarii?

Solution:

Let the width of the earth = $x$

As the Sun is roughly 10^2 times as wide as the Earth, hence the width of the sun = $x\times10^{2}$

And as the Star KW Sagittarii is roughly 10^5 times as wide as the Earth, hence the width of the Star = $x\times10^{5}$

Now, to find that how many times width of the Star KW Sagittarii is as respect to the width of the Sun, we will simply divide:

Width of the Star KW Sagittarii = $x\times10^{5}$

Width of the Sun = $x\times10^{2}$

$\frac{x\times10^{5} }{x\times10^{2} }$

x canceled by x

$\frac{10^{5} }{10^{2} } =10^{5-2} =10^{3} =10\times\ 10\times10=1000$

Therefore, Star KW Sagittarii is 1000 times wider than Sun.

First of all we calculated width of Sun in terms of width of earth and then calculated the width of the Star in terms of earth and for comparison we did simple division that showed that the Star KW Sagittarii is 1000 times wider than the Sun.

4 0

3 years ago

What is X...……………………….

tekilochka [14]

Answer:

x=6

Step-by-step explanation:

You can reach this answer by doing the equation

4+(x-3) = 2x-5

doing the math you will get that 6 is your x.

Hope this helps :)

8 0

3 years ago

Ronnie's Rentals

ZanzabumX [31]

Answer:

P = 25 + (15)n

Total amount paid by David = $100

Step-by-step explanation:

Given:

Fixed cost of renting chain saw = $25

Variable cost of renting chain saw = $15 per hour

Time taken = 5 hour

Find;

Total amount paid by David

Computation:

Assume;

Total amount paid by David = P

Time taken = n

So,

P = 25 + (15)n

P = 25 + (15)(5)

P = 25 + 75

P = 100

Total amount paid by David = $100

5 0

3 years ago