Answer:
The y-coordinate of F is 8.
Step-by-step explanation:
The area of the large triangle = 1/2 * base * height.
From the given coordinates:
The base of the large triangle = x coordinate of C - x coordinate of A
= 11 - 3 = 8 units.
It's height = y coordinate of A = 12, so
Area of large triangle = 1/2 * 8 * 12 = 48 unit^2.
Using a similar calculation for the small triangle:
Base = 10 - 6 = 4 and height = k units.
So it's area = 1/2 * 4 * k = 2k unit^2.
So from given area of the shaded part:
48 - 2k = 32
-2k = -16
k = 8.
Answer:
49π and 153.86 when multiplyed by 3.14.
Step-by-step explanation:
Hi!
The formula for finding the area of a circle is πr².
In that case, all we have to do is substitute 7 inches for our r.
7² × π
= 49π
If you want that solved out, we can substitute a rational number for π (3.14)
49 × 3.14 = 153.86
Thus, the area of the circle is
, 153.86 roughly.
Hope this helps!
-4 is your answer hope this helps
Answer:
13r²(2rs + 4r³ - 3s⁴)
Step-by-step explanation:
In equation 26r³s + 52r⁵ - 39r²s⁴;
The GCF of 26, 52, and 39 = 13
The GCF of r³, r⁵ and r² = r²
The GCF of s, (no "s"), and s⁴ = no "s" (Since one of the number doesn't have "s")
Now we can factor out 13r² from all three expressions;
26r³s + 52r⁵ - 39r²s⁴
=> <em>13r²(2rs) + 13r²(4r³) - 13r²(3s⁴)</em>
To factor it all together;
<u>13r²(2rs + 4r³ - 3s⁴)</u>
Hope this helps!
The answer is:<span>
</span><span>
</span><span>= <span><span>2p</span>+<span>10</span></span></span>