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ELEN [110]
2 years ago
14

Find the exact value of sin(255∘)

Mathematics
1 answer:
Masteriza [31]2 years ago
5 0

Check the picture below.

\textit{Sum and Difference Identities} \\\\ sin(\alpha + \beta)=sin(\alpha)cos(\beta) + cos(\alpha)sin(\beta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(255^o)\implies sin(135^o+120^o) \\\\\\ sin(135^o)cos(120^o)~~ + ~~cos(135^o)sin(120^o) \\\\\\ \left( \cfrac{\sqrt{2}}{2} \right)\left( -\cfrac{1}{2} \right)~~ + ~~\left( -\cfrac{\sqrt{2}}{2} \right)\left( \cfrac{\sqrt{3}}{2} \right)\implies -\cfrac{\sqrt{2}}{4}~~ - ~~\cfrac{\sqrt{6}}{4}\implies \cfrac{-2-\sqrt{6}}{4}

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A chemist would like to dilute a 90-cc solution that is 5% acid to one that is 3% acid. How much water must be added to accompli
Verizon [17]

Answer:

The amount of water must be added to this task = 60 cm^{3}

Step-by-step explanation:

Let amount of water added = x cm^{3}

Then from the given conditions

A chemist would like to dilute a 90-cc solution that is 5% acid to one that is 3% acid. So

90 (0.05) = 0.03 ( 90 + x )

4.5 = 2.7 + 0.03 x

0.03 x = 1.8

x = 60 cm^{3}

Therefore the amount of water must be added to this task = 60 cm^{3}

8 0
3 years ago
What is the slope of the graph shown below?
oee [108]

Answer:

C. 4

Step-by-step explanation:

         Since this one is already graphed and we can see it clearely we can just count, but you can also do change in y over change in x (aka "rise over run") to find the slope.

         So, we count and find it is four up and one over. 4/1 = 4 = c

Hope this helps, have a nice day! :)

4 0
3 years ago
Simplify 1/3(1/2-1/3)-1/3(1/3-1/2)​
zhuklara [117]

Answer:

im pretty sure its 1/9

Step-by-step explanation:

1/3 x 1/6-1/3 x (-1/6)

1/18 + 1/18

5 0
3 years ago
Use the provided ruler to find the scale and the scale factor of the drawing. The scale measures 4 centimeters equal to 120 mete
PtichkaEL [24]

Answer:

1 : 3000

Step-by-step explanation:

Given that:

Scale measurement as following:

4 centimeters are equal to 120 meters.

To find:

The scale factor = ?

Solution:

First of all, let us learn about the definition of scale factor.

Scale factor means 1 unit on scale is equal to what length of actual measurement.

We are given that 4 cm on scale is equal to 120 meters of actual length.

We need to find nothing but how much 1 cm of scale is equal to actual length.

4 cm of scale = 120 meters or 12000 cm of actual length

Dividing by 4 on both sides, we get:

\frac{4}{4} = 1 cm of scale = \frac{12000}{4} = 3000 cm of actual length

Therefore, the scale factor is <em>1 : 3000</em>

5 0
2 years ago
Help I dont get this at all​
stealth61 [152]
B)257.1

Explanation: Area of a square : length x width
Area of square = 12x12= 144
Area of a circle: pie(radius)^2
diameter:12
radius:12/2=6
Area of a circle: pie(6)^2=113.1
ADD BOTH AREAS
Area of the figure =144+113.1
=257.1
8 0
2 years ago
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