Since triangle ABC is similar to triangle DEF then the ratio of the corresponding sides is constant.
The ratio of the corresponding lengths is referred to as the linear scale factor.
Considering the heights of the two triangles;
L.S.F = 14/6
= 7/3
The ratio in area (A.S.F) is given by (L.S.F)²
Therefore, A.S.F = (7/3)² = 49/9
Thus te ratio of the area of triangle ABC to DEF is 49:9
I believe the answer is 1/531441
<span>So we need to find the lenght of side a of a right triangle if we know b=13 and c=21 and c is the hypotenuse and we need to round the number to the nearest hundreth. So we can do that with Pythagorean theorem which states that: a^2 + b^2 = c^2. Now we simply put b^2 to the right side and find a^2 as: a^2=c^2 - b^2. Lets plug in the numbers and we will get a= sqrt (21^2 - 12^2)=16.492422. When we round it to the nearest hundreth a= 16.49.</span>
Step-by-step explanation:
1) t=-32
2) m/-5 =-2. m=10
3)-10r = -37. r=3.7
Answer:
263.76
Step-by-step explanation:
Assuming the shaded area is the yellow area all we must do is find the area of the small circle and subtract it from the larger circle.
To do this we can use the area of a circle equation:

first we need to find the radius of the large circle which is simply 4+6= 10
so the area would be:

then we find the area of the small circle is

next we evaluate:

Then replace pi with 3.14:
84 · 3.14 = 263.76
And you have your answer!
Hope this helps!