Answer:
162 square feet
Step-by-step explanation:
Let the side lengths of the square be l feet each.
Then the diagonal together with any two sides forms an isosceles right triangle.
We can apply the Pythagoras Theorem, which says that, the sum of the squares of the two shorter legs equals the square of the hypotenuse ( the diagonal) in this case.
Divide both sides by
The area of the square garden is 162 ft²
The number of 1 foot by 1 foot square planter boxes that can fill this garden is
A number minus twenty four
To solve this problem, we make use of the z statistic. The
formula for z score is:
z = (x – μ) / s
where,
x = is the sample score = 21 or higher
μ = the population mean = 20.8
s = the standard deviation = 4.8
Solving for the z score:
z = (21 – 20.8) / 4.8
z = 0.0417
Next step to do is to find for the p value using the
standard distribution tables at z = 0.04. Since we are looking for the
probability of getting 21 or higher, therefore this is a right tailed test,
hence
p = 0.516
<span>So there is about 51.6% that a student will get a score of
21 or greater.</span>
Answer:
<em>x = 49°</em>
Step-by-step explanation:
<u>Angles in a Triangle</u>
The sum of the internal angles in any triangle adds up to 180°.
The figure shows a triangle that includes two angles with the same tick mark. This means they are congruent, i.e. they measure the same.
The larger triangle has three defined angles: 43°, 39°, and 2x. Since the sum of them is 180°:
43° + 39° + 2x = 180°
Operating:
82° + 2x = 180°
Subtracting 82°:
2x = 180° - 82° = 98°
x = 98°/2 = 49°
x = 49°
