Answer:
x = 4.1 cm
Step-by-step explanation:
To find x, apply pythagorean theorem, which is given as:
c² = b² + a²
Where,
c = 8.8 cm
b = ½(15.6) = 7.8 cm
a = x
Plug in the values
8.8² = 7.8² + x²
77.44 = 60.84 + x²
Subtract both sides by 60.84
77.44 - 60.84 = x²
16.6 = x²
Take the square root of both sides
√16.6 = x
x = 4.07430976
x = 4.1 cm (nearest tenth)
Answer:
Sin of x does not change
Step-by-step explanation:
Whenever a triangle is dilated, the angle remains the same as well as the ratio for sides of triangle. For smshapes with dimensions, when shapes are dilated the dimensions has increment with common factor.
From trigonometry,
Sin(x)=opposite/hypotenose
Where x=4/5
Sin(4/5)= opposite/hypotenose
But we were given the scale factor of 2 which means the dilation is to two times big.
Then we have
Sin(x)=(2×opposite)/(2×hypotenose)
Then,if we divide by 2 the numerator and denominator we still have
Sin(x)=opposite/hypotenose
Which means the two in numerator and denominator is cancelled out.
Then we still have the same sin of x. as sin(4/5)
Hence,Sin of x does not change
Y-3=4/11(x-11). Doing a problem like this is mostly memorizing point slope formula, by knowing y-y2=m(x-x1) you can just "plug" in 3 as your y1 and 11 as your x1 then finally 4/11 as your slope being y-3=4/11(x-11)
We know that
the equation of the line in standard form is
Ax+By=C
the equation of the line <span> in the slope-intercept form is
</span><span>y +1 = 2/3 (x - 8)-----> y+1=(2/3)x-(16/3)----> y-(2/3)x=(-16/3)-1
</span>y-(2/3)x=(-19/3)----> multiply by 3-----> -2x+3y=-19
the answer is
-2x+3y=-19
<span>I verify that the points belong to the given line
for the point (8,-1)
-2*8+3*(-1)=-19--------> -16-3=-19-----> -19=-19------> is ok
for the point (2,-5)
-2*2+3*(-5)=-19------> -4-15=-19------> -19=-19-----> is ok</span>
Yes 2/5 is .4 and 1/3 is .3333333333333...
