You can use a tangent:
![tangent=\dfrac{opposite}{adjacent}](https://tex.z-dn.net/?f=tangent%3D%5Cdfrac%7Bopposite%7D%7Badjacent%7D)
We have opposite = 17 and adjacent = x.
![\tan30^o=\dfrac{\sqrt3}{3}](https://tex.z-dn.net/?f=%5Ctan30%5Eo%3D%5Cdfrac%7B%5Csqrt3%7D%7B3%7D)
substitute:
cross multiply
multiply both sides by √3
![x(\sqrt3)(\sqrt3)=51\sqrt3](https://tex.z-dn.net/?f=x%28%5Csqrt3%29%28%5Csqrt3%29%3D51%5Csqrt3)
divide both sides by 3
![x=17\sqrt3](https://tex.z-dn.net/?f=x%3D17%5Csqrt3)
Use the Pythagorean theorem:
![y^2=(17\sqrt3)^2+17^2\\\\y^2=289(\sqrt3)^2+289\\\\y^2=289\cdot3+289\\\\y^2=867+289\\\\y^2=1156\to y=\sqrt{1156}\\\\y=34](https://tex.z-dn.net/?f=y%5E2%3D%2817%5Csqrt3%29%5E2%2B17%5E2%5C%5C%5C%5Cy%5E2%3D289%28%5Csqrt3%29%5E2%2B289%5C%5C%5C%5Cy%5E2%3D289%5Ccdot3%2B289%5C%5C%5C%5Cy%5E2%3D867%2B289%5C%5C%5C%5Cy%5E2%3D1156%5Cto%20y%3D%5Csqrt%7B1156%7D%5C%5C%5C%5Cy%3D34)
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Other method.
triangle.
The sides are in the ratio ![1:2:\sqrt3\to17:y:x](https://tex.z-dn.net/?f=1%3A2%3A%5Csqrt3%5Cto17%3Ay%3Ax)
Therefore
![17:(2\cdot17):(17\sqrt3)\to17:34:17\sqrt3\to x=34,\ y=17\sqrt3](https://tex.z-dn.net/?f=17%3A%282%5Ccdot17%29%3A%2817%5Csqrt3%29%5Cto17%3A34%3A17%5Csqrt3%5Cto%20x%3D34%2C%5C%20y%3D17%5Csqrt3)
Ok i hope this helps and if it does pls give me brainliest!
So the longest line is 8 and makes a 90 degree angle with another smaller line which is labled 3.6. X is longer than 3.6 ( only by a little bit) But it looks like its half of the longest line (8). So i think the answer would be X equals 4. But i was thinking about it more i relized that you would prob just divide 8 by 3.6 which would be 2.22222 .... And that rounded tot he nearest 10th would be 2.2.
This is a Multiple Step problem.Which means that you have to do a few steps before you get the answer.First,you do,30x35,then the answer,(product)to that,you multiply that answer to 50,then find out the answer to that,then divide 1 million by that answer,then you will get the year.
The answer is 32
Solution for 40 is what percent of 125:
40:125*100 =
( 40*100):125 =
4000:125 = 32
Now we have: 40 is what percent of 125 = 32
Question: 40 is what percent of 125?
Percentage solution with steps:
Step 1: We make the assumption that 125 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$x.
Step 3: From step 1, it follows that $100\%=125$100%=125.
Step 4: In the same vein, $x\%=40$x%=40.
Step 5: This gives us a pair of simple equations:
$100\%=125(1)$100%=125(1).
$x\%=40(2)$x%=40(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{125}{40}$
100%
x%=
125
40
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{40}{125}$
x%
100%=
40
125
$\Rightarrow x=32\%$⇒x=32%
Therefore, $40$40 is $32\%$32% of $125$125.
Answer:
4
Step-by-step explanation:
3*4+2=14
12+2=14
14=14