Answer:
The probability is 
Step-by-step explanation:
Given number of cypress trees = 44
Given number of dogwoods trees = 44
Now assume all cypress trees as 1 unit and dogwood trees as 1 unit.
So , there are 2 units
Now, the 2 units can be arranged in 2! ways.
here internally the 44 dogwoods and 44 cypress trees will not shuffled( as all are the same) we have
P( all trees of 44 cypress are next to each other and all 44 dogwoods trees are next to each other)
F(x)=(x-2)^2 +66
lemme know if u need shown work, hope this helps! can u give me brainliest??
<span>Write
an expression with the given equation
=> 7 x 10 to the third power.
this equation uses an exponent.
=> 7 x 10^3, in this equation, 10 will be multiplied 3 times as what the
exponent asks
=> 7 x ( 10 x 10 x 10)
=> 7 x 1 000
=> 7 000
Therefore, 7 x 10 to the third power is equals to 7 000. This can also explains
as there are 7 1 000s in 7 000.
</span>
The correct answer is 9x^2
Hope this helped :)
Answer:
question 4:
the smaller building is 262.31 metres tall
Step-by-step explanation:
see the diagram attached:
1. draw a diagram:
- as ive done below, it is easiest to solve this type of equation if you draw it out as a diagram
2. as you can see in the diagram, a right angled triangle has been created.
- assuming you understand basic trigonometry, you will see that as we know 1 angle (3 degrees, 21 minutes), and 1 side length (46m), we can now solve for the other sides, which is what the question is asking us to do.
- the side length we have been given (46m) is opposite the right angle (90°) and is the longest side of the triangle, making it the hypotenuse. So we know:
- hypotenuse = 46m
- as we are trying to find the difference between the heights of the buildings, we are trying to find the side opposite the given angle (3°21'). As it is opposite from the given angle, it is referred to in trigonometry as the opposite. As we don't yet know the length of the Opposite, i have labelled it x in the diagram.
- known angle = 3°21'
- opposite = x
3. convert the known angle from degrees and minutes to degrees.
- 3 degrees 21 minutes =
- 3 degrees + 21 minutes (there are 60 minutes in a degree, so to convert the 21 minutes into degrees, divide 21 by 60)
- 21 minutes / 60 = 0.35 degrees
4. Identify which trigonometry ratio to use:
sin = 
cos = 
tan = 
- as we know the hypotenuse, and we want to know the opposite, the will use Sin.
5. insert known values into the equation:
- sin θ
- we know the hypotenuse = 46
- we know the given angle = 3.35°
- we have labelled the opposite side x
- therefore our new equation looks like:
- sin (3.35) =
- as we know the denominator (bottom value of the fraction), we multiply it by the angle to find the length of the unknown side (x):
- 46 x sin (3.35) = 2.688 (use a calculator for this step)
- we now know the length of the unknown side (x):
- x = 2.688 metres
6. Interpreting the question with new knowledge:
- as can be seen in the diagram, the unknown side (x), was the difference between the heights of the building.
- we can now replace side x with 2.688
- To find the height of building 2, simply subtract the difference between the buildings (2.688m), from the height of the tallest building (265m) to find the height of the smallest building.
- 265 - 2.688 = 262.312 m (height of building 2)
- the question says only to 2 decimal places so we can round the height to 262.31 metres.
the height of building 2 is 262.31 metres.
