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Vinil7 [7]
3 years ago
5

Evaluate cos0 if sin0= sqrt(5)/3 a. 9/5 b. 2/3 c. 5/9 d. 3/2

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
8 0

Solution given:

\sin( \alpha )  =   \frac{\sqrt{5} }{3}

so

P=√5

h=3

b=\sqrt{3 {}^{2} -  \sqrt{5}  {}^{2}  }

b=2

so

\cos( \alpha )  =  \frac{b}{h}  =  \frac{2}{3}

Note

\alpha  = 0

<u>b</u><u>:</u><u>⅔</u>

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Solve the equation 2.7 + x = 17
olga55 [171]
Hello!

To solve this equation, we need to isolate the variable on one side of the equation to see what it equals. 

As you can see, 2.7 is added. To get it onto the other side and cancel it from the one side, you will subtract it from both sides as shown below. Note that because of the commutative property, we can switch the places of 2.7 and x.

x+2.7-2.7=17-2.7  (Note that 2.7=2.7 is 0 in this equation.
x=14.3

Our solution is x=14.3

I hope this helped you learn how to solve equations a bit better!
4 0
3 years ago
Need help asap!! will give brainliest!!
frozen [14]

Answer:

X and Y = 4

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8 0
3 years ago
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a restaurant holds an anniversary celebration of 90 diners. Only 27 are offered free dessert, what is the percent of dinners not
alex41 [277]

Answer:

70%

Step-by-step explanation:

(90-27)/90

=63/90

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Changing it to percentage:

=70%

6 0
4 years ago
There are white, blue, and red boats in a marina. Two-thirds of the boats in the marina are white, 4 7 of the remaining boats ar
Aleksandr-060686 [28]

Answer: the number of boats that are in the marina is 105.

Step-by-step explanation:

Let x represent the number of boats that are in the marina.

Two-thirds of the boats in the marina are white. It means that the number of white boats in the marina is

2/3 × x = 2x/3

The remaining number of boats will be

x - 2x/3 = x/3

4/7 of the remaining boats are blue. It means that the number of boats that are blue is

4/7 × x/3 = 4x/21

The number of boats left would be

x/3 - 4x/21 = 3x/21

If there are 15 red boats, it means that

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3x = 21 × 15 = 315

x = 315/3

x = 105

3 0
3 years ago
Find the measures of the missing angles (picture attached)
ella [17]
Here, sum of all the angles would be equal to 360.
We can see there are two right angles (=90)

So, 90 + 90 + x + 60 = 360
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x = 360 - 240
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In short, Your Answer would be 120

Hope this helps!
4 0
3 years ago
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