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nasty-shy [4]
3 years ago
7

Find the exact value for x leaving your answer as a surd with a rational denominator where appropriate :

Mathematics
1 answer:
lesya [120]3 years ago
3 0

Answer:

x = 10\sqrt{3}

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin60° = \frac{\sqrt{3} }{2} , then

sin60° = \frac{opposite}{hypotenuse} = \frac{x}{20} = \frac{\sqrt{3} }{2} ( cross- multiply )

2x = 20\sqrt{3} ( divide both sides by 2 )

x = 10\sqrt{3}

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34. The diagram shows a sector of a circle of radius 10 cm.
Sergio [31]

Answer:

rc  length  =  10 * 8pi/5

 =   16pi

This is the circumference of the base

(a)   2pir     =   16pi  where  r  =  radius of base

  2r     =    16

   r     =  8 cm

(b)   10^2    =   h^2   +  8^2

 h^2    =   100  -  64

  =    36

h      =    6 cm

8 0
3 years ago
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Joselyn is a manager at a sign-painting company. She has two painters, Allen and Brianne. Allen can complete a large project in
guajiro [1.7K]

Answer:

8.47 Hours

Step-by-step explanation:

Allen can take 16 hours, while 

Brianne can take 18 hours;

Therefore, in 1 hour Allen will complete a fraction of 1/16, while

in 1 hour Brianne will complete a fraction of 1/18

When working together, in 1 hour they will complete a fraction of (1/18+1/16)

=  17/144,

Therefore; to complete the whole project working together, they will take;

144/17 = 8.47 hours


7 0
3 years ago
Tiffany’s allowance is reduced $1.25 every time she forgets to clean her room.
snow_tiger [21]

Answer:

$8.75 is your answer.

Step-by-step explanation:

What you do is you multiply 1.25 by 7.

<em>1.25 x 7 = $8.75</em>

$8.75 is your answer.

4 0
4 years ago
What is 5800 divided by 28
Taya2010 [7]
The answer is 207.14
6 0
4 years ago
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How is a property tax similar to and different from an income tax?
valina [46]

Answer:

Property tax is an ad valorem tax assessed on real estate by a local government and paid by the property owner. Income tax is tax levied by a government directly on income, especially an annual tax on personal income. Both pay the government but one is for their land and the other is for money they make.

5 0
4 years ago
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