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Soloha48 [4]
3 years ago
13

Given that sinx=3/5 where x is an acute angle for cosx

Mathematics
1 answer:
mestny [16]3 years ago
4 0
The correct question is
Given that sinx=3/5 where x is an acute angle, what is cosx and tanx<span>?

we  know that

</span>since x is acute   0<x<<span>π/2
</span><span>then the trigonometric rations will be positive</span>

sin ²x+cos²x=1------------> cos²x=1-sin²x------->  cos²x=1-(3/5)²----> 1-(9/25)
cos²x=16/25----------> cos x=4/5

the answer part A) is 
cos x=4/5

tan x=sin x/cos x
so
tan x=(3/5)/(4/5)---------> tan x=3/4

the answer part B) is 
tan x=3/4
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Randy ordered 3 T-shirts for $25.67 each and one skirt for $23.55 and an 8% tax. What is the total cost of the order?
DerKrebs [107]
KP - break this one down to three parts: Total cost of shirts, total cost of shirts and the skirt, and then including tax. 

3 T-shirts for $25.67 each would be 3 * 25.67 = 77.01
Shirts and skirt would be 77.01 + 23.55 = 100.56
Tax can be found quite a few different ways, the easiest of which would be multiplication. 

8% = .08

100.56 (total cost of clothes) * .08 (tax) = $8.05

Now just add tax and total cost of the clothes. Because of rounding, our answer might be slightly different but that's okay because it's multiple choice and only 1 answer makes sense!

3 0
3 years ago
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I need some help plz???
GaryK [48]
I think the ones that would apply to this would be a. b. and c. 

Since they are on the same line the slope doesn't change! 
 
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6 0
4 years ago
Answer and explanation please
mote1985 [20]

Answer:

x=17, y=12

Step-by-step explanation:

From the figure we know that,

Angle CDB = 4x-5

Angle BDE = 10y-3

Angle DEA= 97-2x

Though we are NOT given that line segments BD and AE are parallel, we may assume so by the construction of the triangle.

Hence, BD II AE and are cut by the transversal CE,

Hence,

Angle CDB = Angle CEA  {Corresponding angles are equal}

4x-5=97-2x\\4x+2x=97+5\\6x=102\\x=17\\\\So,\\Angle\ CDB\ = (4x-5) = (4*17-5) = (68-5) = 63

As we observe that,

Angle CDB and Angle BDE form a linear pair, they are supplementary.

Hence,

Angle CDB + Angle BDE = 180

Thus,\ 63+ Angle\ BDE=180\\Angle\ BDE\ = 180-63=117\\\\As\ BDE=(10y-3),\\117=10y-3\\117+3=10y\\120=10y\\y=12

3 0
3 years ago
Karen has a balance of $12 left in her checking account. She needs to write a check for $44. What will be her balance if she wri
ANEK [815]

Answer:

-32$

Step-by-step explanation:

12 - 44 = -32

4 0
4 years ago
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What is an equation of the line that passes through the points (8, -8) and (-5, -8)
Ann [662]

Slope formula - (y² - y¹) / (x² - x¹)

(8, -8) , (-5,-8)

x¹ = 8

x² = -5

y¹ = -8

y² = -8

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-5 - 8 = -13

Answer: 0

Hope this Helps!!

7 0
3 years ago
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