The area of the shaded region is 85 units cubed.
Answer:
Yes, triangle GYK is similar to triangle BAK.
Step-by-step explanation:
The sides of each triangle are proportional to each other.
Take the longest side of each triangle. You are comparing line AK with line KY.
The proportion is 15/25.
Now, take the shortest side of each triangle. You are comparing line KB with GK.
The proportion is 6/10.
To determine if the triangles are proportional, we can see if the two proportions are equal to each other:
15/20=6/10
3/5=6/10
Correct! 3/5 equals to 6/10. Therefore, the two triangles are similar because their sides are proportional.
Hope this helps :)
Jacinda: d = 10 * t ( a rate: 10 miles per hour )
Raj : d = 1.5 + 4.5 * t
Jacinda will catch up with Raj when:
10 t = 1.5 + 4.5 t
10 t - 4.5 t = 1.5
5.5 t = 1.5
t = 1.5 : 5.5 = 0.27 hours = 16.2 min = 16 min 12 seconds
Let a be the first term and d be the common difference
t5 = 3 = a + 4d
t7 = 7 = a + 6d
a + 6d - a - 4d = 7 - 3
2d = 4
d = 2
Sub d = 2,
3 = a + 4(2)
a = -5
t2 = a + d
t2 = -5 + 2
t2 = -3
-35. 20+15=35 and he swam down so its a negative.
