These are not similar. For them to be similar, they need to exist in proportion to each other for every single side. The ratio of the 12:9 sides is 4:3 when reduced. The ratio of the other 2 sides is 5:3. They all have to have the same ratio for them to be similar.
The miles he drove North on Avenue B is 24 miles.
<h3>What is Pythagoras theorem? </h3>
According to the Pythagoras theorem, the square of the hypotenuse is the sum of the square of the opposite sides.
The Pythagoras theorem: a² + b² = c²
Where:
- a = length
- b = base = 7 miles
- c = hypotenuse = 25 miles
<h3>How many miles did he drive north of Avenue B? </h3>
25² - 7²
625 - 49 = 576
√576 = 24 miles
Please find attached the required diagram. To learn more about Pythagoras theorem, please check: brainly.com/question/14580675
Answer:
91.63 cm is the interior length of the bassinet to ensure that 99 percent of newborn babies will fit, with a safety margin of 15 cm on each end of the bassinet.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 50 cm
Standard Deviation, σ = 5 cm
We are given that the distribution of length of a newborn baby is a bell shaped distribution that is a normal distribution.
Formula:
![z_{score} = \displaystyle\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z_%7Bscore%7D%20%3D%20%5Cdisplaystyle%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
P(X<x) = 0.99
We have to find the value of x such that the probability is 0.99
P(X < x)
Calculation the value from standard normal table, we have,
![P(z](https://tex.z-dn.net/?f=P%28z%3C2.326%29%20%3D%200.99)
Thus, 99% of newborn babies will have a length of 61.63 cm or less.
There is a safety margin of 15 cm on each end of the bassinet
Length of bassinet =
![61+63 + 15 +15 = 91.63\text{ cm}](https://tex.z-dn.net/?f=61%2B63%20%2B%2015%20%2B15%20%3D%2091.63%5Ctext%7B%20cm%7D)
A NONA=9, nonagon has 9 sides, so it's perimeter is 7+7+7+7+7+7+7+7+7, or 63, and we know the apothem.
bearing in mind that the area of a regular polygon is
(1/2)ap a = apothem, p = perimeter
so in this case that'd be (1/2)(5)(63).