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2 years ago

Write the ratios for sin x, cos x and tan x

Mathematics

1 answer:

yuradex [85]2 years ago

4 0

Answer:

sin(x)= $\sqrt{119\\}$ / 12, cos(x)=5/12, tan= $\sqrt{119\\}$ / 5

Step-by-step explanation:

segment YZ is length a, we need to find a

segment XZ is length 5

segment XY is length 12

XYZ is a right triangle, so a^2 + b^2 = z^2, so

a^2 + 5^2 = 12^2, simplify

a^2 + 25 = 144, subtract 25

a^2 = 119

a = $\sqrt{119\\}$

then we can determine all the trig ratios

soh - cah - toa

sin = opp/hyp, cos=adj/hyp, tan=opp/adj

sin(x)= $\sqrt{119\\}$ / 12, cos(x)=5/12, tan= $\sqrt{119\\}$ / 5

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Amy wants to sell at most 25 cookies and at least 10 sprites

Inga [223]

Answer:

$x\leq 25\\y\geq 10\\.50x + y\geq 30$

Step-by-step explanation:

It is given that,

Amy wants to sell at most 25 cookies ,

Let number of cookies be ' $x$ ' , then $x$ should be less than or equal to 25

Which is represented by $x\leq 25$ ,

Further,

Let number of sprites be ' $y$ ', then ' $y$ ' should be greater than or equal to 10

Which is represented by $y\geq 10$

Also,

Given,

she profits $.50 on every cookie

and $1.00 on every sprite.

So total profit on selling cookies would be

= Profit on each cookie times the number of cookies

= $.50\times x$

= $.5x$

Similarly, total profit on selling sprites would be

=profit on each sprite times the number of sprites

= $1.00\times y$

= $y$

Now, combining these two should be greater than or equal to $30

representing this through an equation,

$.50x+y\geq 30$

Thus the sysytem of equations is given as:

$x\leq 25\\y\geq 10\\.50x + y\geq 30$

6 0

3 years ago

The price of a car increased by 7% which expression can be used to calculate the new price of the car

julsineya [31]

Answer: P * ( 1 + 7%)

Step-by-step explanation:

You included no options but the expression should go something like this:

Pn = P * ( 1 + 7%)

Where Pn is the new price

P is the current price

<em>The above formula will show the new price given the current price. </em>

6 0

3 years ago

Y=2x^2-6x+4<br><br>separate the values with a comma

Zolol [24]

Y= 2 (x^2-3x+2)
y= 2 (x-1) (x-2)
x=2 and x=1

8 0

3 years ago

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Mike jogged a total distance of 5 and 1 over 3 miles during the months of October and November. If Mike only jogged 1 over 6 mil

vaieri [72.5K]

Answer:

Step-by-step explanation:

5 1/3 x 1/6 = 8/9

5 1/3 + 1/6 = 5 2/6

5 1/3 - 1/6 = 31/6

5 1/3 / 1/6 = 32

7 0

2 years ago

2+2=? Because I’m trying to explain it to a 2 year old.

spayn [35]

Answer:

Step-by-step explanation:

1 + 1 + 1 + 1 = 2 + 2 = 4

6 0

3 years ago