In two similar triangles <span>corresponding sides are all in the same proportion
</span>
<span>
</span>
Answer:
5 feet.
Step-by-step explanation:
Please find the attachment.
Let x be the length of ramp.
We have been given that a ramp extends from the back of a truck bed to the ground. The back of the truck bed is 4 feet above the ground. The horizontal distance from the spot below the back of the truck bed to the bottom of the ramp is 3 feet.
We can see from our attachment that ramp and the height of truck bed form a right triangle, so the length of ramp will be equal to hypotenuse of right triangle with two legs of 4 feet and 3 feet.
We will use Pythagorean theorem to solve for the length of ramp.
Upon taking square root of both sides of our equation we will get,
Since length of ramp can not be negative, therefore, length of ramp will be 5 feet.
Answer:
x=(3/5) + (3√6)i/10, and x =(3/5) - (3√6)i/10
Step-by-step explanation:
Use the quadratic formula for ax² +bx +c=0
x= [-b±√(b²-4ac)]/2a
For, -10x² +12x -9 = 0
x= [-12 ±√(12²-4(-10)(-9)] /2(-10)
x= [-12 ±√(144-360)] /-20
x= [-12 ±√(144-360)] /-20
x= (-12 ±i√216) /-20
x= (-12 ±i6√6) /-20
so one solution will be
x= (-12 +i6√6) /-20
= (3/5) - (3√6)i/10
the second solution will be
x= (-12 - i6√6) /-20
= (3/5) + (3√6)i/10
Answer:
(x+4) (x-1).
Step-by-step explanation:
Hope this helps!
10/18 or 5/9 in simplest form.