Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
We will be using Pythagoras theorem to solve this problem. This is as this problem forms a right-angle triangle. Pythagoras theorem is the following:
a^2 + b^2 = c^2
Where c = hypotenuse of right-angle triangle
Where a and b = other two sides of right-angle triangle
To begin with, we will substitute the values from the problem into the equation. Then we will make the height of the tree the subject of the equation.
a = height of tree = ?
b = distance from the bird on the ground to the base of the tree = 8 metres
c = distance bird travelled from the ground to the top of the tree = 9 metres
a^2 + b^2 = c^2
a^2 + 8^2 = 9^2
a^2 = 9^2 - 8^2
a = square root of ( 9^2 - 8^2 )
a = square root of ( 81 - 64 )
a = square root of ( 17 )
a = 4.123...
a = 4.1 ( rounded to the nearest tenth )
FINAL ANSWER:
Therefore, the height of the tree is 4.1 metres ( rounded to the nearest tenth ).
Hope this helps! :)
Have a lovely day! <3
Answer:
1. I need to see the table to answer that
2. I think you need to find the probability of getting 1, H. That probability is 1/10 which is also 10%.
3. can't answer a, but b is 1/14 or 7%
4. as a fraction= 1/6
as a percent= 17% (rounded up)
Step-by-step explanation:
2. I just took the outcome needed and decided by the possible outcomes.
3. That was a compound event so I just got the probability of flipping tails (1/2) and multiplied it by the probability of getting a white ball (1/7)
4. another compound event, I got the probability of getting a medium (1/3) and multiplied it by getting yellow (1/2)
hope this helped!
Answer:
C). 0 degrees
Step-by-step explanation:
The given equation is:
-4 + 6 sinx = -4 + 4 sinx
adding 4 on both sides:
4 - 4 + 6 sinx = 4 - 4 + 4 sinx
6sinx = 4sinx
dividing by 2 on both sides, we get:
6sinx/2 = 4sinx/2
3 sinx = 2 sinx
subtracting 2 sinx from both sides we get:
sin x = 0
x = sin⁻¹ (0)
x = 0 degrees
Answer: Tyrone has 28 mystery novels.
Step-by-step explanation:
Divide 42 by 3 to get 1/3 of the books he has.
42/3 = 14
14 * 2 = 28
28 = 2/3 of his books
6x = n²-16
n²-6x-16=0 -16=-8*2, -6=-8+2
(n-8)(n+2)=0
n-8=0, n+2=0
n=8, n=-2
Negative solution is -2.
