We will use the law of cosines
<span>side a² = b² + c² -2bc • cos(A)
</span><span>side a² = 729 + 196 -2*27*14 * cos (46)
</span><span>side a² = 925 -(756 * 0.69466)
</span>side a² = <span><span>399.83704
</span>
side a = </span><span><span><span>19.995925585
</span>
</span>
</span>
We could round that to 20
a = 20 b = 27 c =14
We can calculate a triangle's area when we know all 3 sides by using Heron's Formula
<span>area = square root (s • (s - a) • (s - b) • (s - c))
where s is the semi-perimeter </span>
semi-perimeter<span> = (side a + side b + side c) ÷ 2</span>
s = (20 + 27 + 14) / 2
s = 30.5
Now we use Heron's Formula
area = square root (s • (s - a) • (s - b) • (s - c))
area = square root (30.5 • (<span>30.5 - 20) • (</span><span>30.5 - 27) • (</span><span>30.5 - 14))</span>
area = square root (30.5 • (10.5) • (3.5) • (<span>16.5))</span>
<span>area = square root (18494.4375)
</span>
<span><span><span>area = 135.9942553934
</span>
</span>
</span>which rounds to
136 square feet
Source:
http://www.1728.org/triang.htm
Answer:
strawberry yogurt makes up less than 1/3 of their sales
Step-by-step explanation:
In the first graph, the strawberry yogurt is a little larger than 1/4. Second, the yogurt increases instead of decreases n the first six months. And third, the store actually sold a little less than 3,000 yogurts in November than in August.
It is c becase x<8 translates to x is less than 8
Answer:
It will take 2.6 hours by Daniel to catch up with Frank.
Step-by-step explanation:
Let Daniel will catch up with Frank after t hours.
Now, Frank will go 13 miles in 
hours.
So, the distance traveled by Frank in (t + 0.228) hours with 45 mph speed will be equal to the distance traveled by Daniel in t hours with 50 mph speed.
Hence, 45(t + 0.288) = 50t
⇒ 5t = 13
⇒ t = 2.6 hours.
Therefore, it will take 2.6 hours by Daniel to catch up with Frank. (Answer)
100,000,000+10,000,000+9,000,000+3
