Answer:
256/3 = 85 1/3 square inches
Step-by-step explanation:
The dimensions of the first inscribed triangle are 1/2 those of the original, so its area is (1/2)² = 1/4 of the original. The area of the original is ...
A = (1/2)bh = (1/2)(16/√2)(16/√2) = 64 . . . . square inches
The sum of an infinite series with first term 64 and common ratio 1/4 is ...
S = a1/(1 -r) . . . . . . for first term a1 and common ratio r
= 64/(1 -1/4) = 64(4/3) = 256/3 . . . . square inches
The sum of the areas of the triangles is 256/3 = 85 1/3 square inches.
Answer:
888.89 km
Step-by-step explanation:
Write the given question as an equation and solve.
80 km = 0.09 × (what distance)
(80 km)/0.09 = what distance . . . . . divide by the coefficient of the variable
888.89 km ≈ what distance
80 km is 9% of 888.89 km
Answer: <span>D. Are perpendicular
</span><span>4x=3y+23 slope = 4/3
</span><span>4y+3x=-19 slope = -3/4</span>
Radius = 15 feet
circumference = 2 * PI * 15 =
<span>
<span>
<span>
94.25 </span></span></span>feet
the length of the arc is 10 feet
So the angle would equal (10 / 94.25) * 360 =
<span>
<span>
<span>
0.1061007958
</span>
</span>
</span>
* 360 =
=
<span>
<span>
<span>
38.196</span></span></span> degrees
311,225,823,387,830,850,069
Oof
