Answer:
<u> y = 19/36</u>
Step-by-step explanation:
Assuming that what you want is the value of y, you can pass all the right side stuff to the left, and the y to the right:
2/3 + 15/6 = 6y
Then you can sum the fractions on the left by using the same denominators:
4/6 + 15/6 = 6y ==> 19/6 = 6 * y
then you can pass the 6 that is multiplying on the right to the left - now dividing:
<u> y = 19/36</u>
<h3>
Answer: 45</h3>
The value is approximate.
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Explanation:
Focus on the upper triangle.
Label the unknown horizontal side as y
Use the pythagorean theorem to solve for y
a^2+b^2 = c^2
10^2 + y^2 = 26^2
100+y^2 = 676
y^2 = 676-100
y^2 = 576
y = sqrt(576)
y = 24
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Now move to the bottom triangle
With respect to the reference angle, the side y = 24 is opposite this. The hypotenuse is unknown.
Use the sine rule to connect the two and solve for x
sin(angle) = opposite/hypotenuse
sin(32) = y/x
sin(32) = 24/x
x*sin(32) = 24
x = 24/sin(32)
x = 45.2899179551967 which is approximate
x = 45 rounding to the nearest whole number
Side x is approximately 45 cm long.
Note: make sure your calculator is in degree mode.
Answer:
x>1.16
Step-by-step explanation:
Subtract 5 from each side to get 4x>14-8x
change the symbol from +8 to -8
4x> 14+ (-8x)
than add 8x to both sides
12x > 14
which would mean that x has to be greater than 1.16
x>1.16
