The sides of the triangle occur in a ratio of 4 : 7 : 2, so if <em>x</em> is some positive number, then we can write each side's length in terms of <em>x</em> as 4<em>x</em>, 7<em>x</em>, and 2<em>x</em>.
The perimeter is 299 yd, so
4<em>x</em> + 7<em>x</em> + 2<em>x</em> = 299 yd
13<em>x</em> = 299 yd
<em>x</em> = (299 yd) / 13
<em>x</em> = 23 yd
Then the sides of the triangle have lengths of
4<em>x</em> = 4 • 23 yd = 104 yd
7<em>x</em> = 7 • 23 yd = 161 yd
2<em>x</em> = 2 • 23 yd = 46 yd
"Median" here refers to the side length between the shortest and longest sides, so the answer would be 104 yd.
Answer:
Step-by-step explanation:
The surface area of right triangular prism is the sum of area of two base triangles and 3 area of side rectangles.
The area of base triangle is
where a is the length of the side of equilateral triangle. In your case, a=6 inches. Thus,
The area of side rectangle is
where h is the height of the rectangle. In your case, h=10 inches. Thus,
Hence, the surface area is
The exterior angle at the intersection of the tangent and secant has a measure that is half the difference between the intercepted arcs.
... ((10x+20) -80)/2 = 2x+15
... 5x -30 = 2x +15
... 3x = 45
... x = 15
So, the unknown arc to the right has measure
.. 10x + 20 = 10·15 +20 = 170
And the arcs of the circle total 360°.
... 80 + z + 170 = 360
... z = 360 - 250 = 110 . . . subtract 250 from both sides
The appropriate choice for the value of z is
... B. 110
Answer:
3x2 + 4x – 6
because :
Step-by-step explanation:
(x-5)(3x²+4x-6)=3x^3+4x²-6x-15x²-20x+30 =3x3 – 11x2 – 26x + 30
