Answer:
the second option : 5 1/3
Step-by-step explanation:
the height (h) in such a right-angled triangle is based on the 2 segments of the baseline : 3 and a
h = 4
the formula is h = sqrt(a×b)
with a and b being the baseline segments.
so,
4 = sqrt(3×a)
16 = 3×a
a = 16/3 = 5 1/3
Answer:
4. Answer is 19
5. Answer is 77
Step-by-step explanation:
65-(-12)
= 65+12
=77
Answer:
x = 4 ±9i
Step-by-step explanation:
x^2 - 8x + 97 = 0
Complete the square by subtracting 97 from each side
x^2 - 8x =- 97
Take the coefficient of x
-8 and divide by 2
-8/2 = -4
Then square it
(-4)^2 = 16
Add it to each side
x^2 - 8x + 16 = -97+16
(x-4)^2 = -81
Take the square root of each side
x-4 = ±sqrt(-81)
x-4 = ±9i
Add 4 to each side
x = 4 ±9i
Answer:
Step-by-step explanation:
103.8 seconds
68.11024 inches
Answer:
6 miles.
Step-by-step explanation:
Let x be the total distance hoped by Kangaroo to the lake.
We have been given that a kangaroo hopped 1/3 of the distance to the lake with her baby in her pouch.
She hopped the remaining 7040 yards without her baby in her pouch. This means that 2/3 of total distance (x) is 7040. We can represent this information in an equation as:

Let us solve for x by multiplying both sides of our equation by 3/2.



Therefore, the total distance hoped by the kangaroo is 10560 yards.
1 mile = 1760 yards
Let us convert this distance in miles by dividing 10560 yards by 1760.




Therefore, the kangaroo hoped 6 miles to the lake.