Answer:
Length = ![2\sqrt{58}](https://tex.z-dn.net/?f=2%5Csqrt%7B58%7D)
Explanation:
The width of the triangle is 6 cm. We are given the area. Lets work through this step by step.
First of all, the area of a triangle is ![A= \frac{1}{2} b * h](https://tex.z-dn.net/?f=A%3D%20%5Cfrac%7B1%7D%7B2%7D%20b%20%2A%20h)
We know that the breadth, or the base, b, is 6 cm.
Substitute the value of 6 for B
![A = 1/2(6) * h](https://tex.z-dn.net/?f=A%20%3D%201%2F2%286%29%20%2A%20h)
What we need to do is find the length of the height, H. Therefore
![42 = 1/2(6) * h](https://tex.z-dn.net/?f=42%20%3D%201%2F2%286%29%20%2A%20h)
![42 = 3h](https://tex.z-dn.net/?f=42%20%3D%203h)
Divide each side by 3 to isolate h
![14 = h](https://tex.z-dn.net/?f=14%20%3D%20h)
The height is 14.
In order to determine the length, just substitute the values of 6 and 14 for a^2 and b^2 in the pythagorean theorem.
![a^2 + b^2 = c^2\\6^2 + 14^2 = c^2\\36 + 196 = c^2\\232 = c^2](https://tex.z-dn.net/?f=a%5E2%20%2B%20b%5E2%20%3D%20c%5E2%5C%5C6%5E2%20%2B%2014%5E2%20%3D%20c%5E2%5C%5C36%20%2B%20196%20%3D%20c%5E2%5C%5C232%20%3D%20c%5E2)
Take the square root of both sides to simplify c.
![c= 2\sqrt{58}](https://tex.z-dn.net/?f=c%3D%202%5Csqrt%7B58%7D)
This is approximately equal to
cm's
Answer:
children are influenced by their parents' behaviors and implement them into their own lives. if they like the turnout of their behaviors, they continue using them. if not, they change them and a rift may grow between the parent and child
Answer: The Federal government Makes money Declare war Manage foreign relations Oversee trade between states and with other countries while the state government Ratifys amendments Manage public health and safety Oversee trade in the state
Explanation: Hope this helps!
Answer: The availability heuristic involves estimating the probability of an event outcome on information readily available to the individual. The representativeness heuristic involves estimating the probability of an event outcome on how similar the event is to the norm or on a typical event representing the situation.
Explanation:
<span>Jacob's actions are best explained by</span>
"Identification".
Identification refers to a process where someone (like in this example
Jacob does) by a psychological process tries to copy, assimilate some part of
an action, an attribute or anything which another is performing, (like
hammering in the example above). Sigmund Freud’s work carries some roots of
this process.