Answers:
x = 2√2 units
y = 2√6 units
Explanation:
The given diagram is a right-angled triangle. This means that the special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
For getting x and y, we can choose to either work with θ = 30 or θ = 60.
I will work with 30.
1- For x:
We have:
θ = 30
x is the opposite side to θ
4√2 is the hypotenuse
Therefore, we can apply the sine function as follows:
sin θ = opposite / hypotenuse
sin (30) = x / 4√2
x = sin (30) * 4√2
x = 2√2 units
2- For y:
We have:
θ = 30
x is the adjacent side to θ
4√2 is the hypotenuse
Therefore, we can apply the cosine function as follows:
cos θ = adjacent / hypotenuse
cos (30) = y / 4√2
y = cos (30) * 4√2
y = 2√6 units
Hope this helps :)
Answer:
20kg of 25% copper alloy
30kg of 60% copper alloy
Step-by-step explanation:
There are 2 kinds of metal, first metal(A) have 25% copper while the second metal(B) has 60% copper. The metalworker want to create 50kg of metal, which means the total weight of both metals is 50kg (A+B = 50). The metalworker also want the metal made of a 46% which is 23kg(0.25A + 0.6B = 0.46*50). From these sentences, we can derive 2 equations. We can solve this with substitution.
A+B = 50
A= 50-B
Let's put the first equation into the second.
0.25A + 0.6B = 0.46 *50
0.25(50-B) + 0.6B =23
12.5 - 0.25B + 0.6B =23
0.35B=23 -12.5
B= 10.5/ 0.35= 30
Then we can solve A
A= 50-B
A= 50-30
A=20
Sorry but where is the picture? I’m confused..
Answer:
-x-30
Step-by-step explanation:
<em>first you need to </em><em>distribute</em><em>:</em>
<em>3(x)+3(-6) -4(x)+ (-4)(3)</em>
<em>Then you </em><em>multiply:</em>
<em>3x+(-18)-4x+(-7)</em>
<em>then you </em><em>combine like terms:</em>
<em>3x-4x= -1x </em>
<em>-18+(-7)= -25</em>
<em>simplified:</em>
<u><em>-1x-30</em></u>
It seems like you put the same equation up there twice, but no worries! :)
8x + 32 = 2(25x - 15) - 11x
Simplify.
8x + 32 = 50x - 30 - 11x
Add like terms.
8x + 32 = (50x - 11x) - 30
Simplify.
8x + 32 = 39x - 30
Now we must subtract 32 from both sides.
8x = 39x - 30 - 32
Then, subtract 39x from both sides.
8x - 39x = -30 - 32
Simplify.
-31x = -62
Finally, divide both sides by -31.
-31x ÷ -31 = -62 ÷ -31
Simplify.
x = 2
~Hope I helped!~
