Briana bought a lot of snacks from Dollar General last night for $193.84, not including tax. If the tax rate was 9%, how much di
1 answer:
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Answer:
81 cm²
Step-by-step explanation:
Since, the lateral face of a triangular pyramid is a triangle,
Given,
The base edge or the base of one lateral face of pyramid, a = 6 cm,
And, the slant height or the height of the face, k = 9 cm,
Thus, the area of one lateral face of the pyramid,
We know that, a Regular triangular pyramid has 3 lateral faces,
Hence, the total lateral area of the pyramid,
Answer:
5.89 mi/h
Step-by-step explanation:
This problem can be solved by using different methods. I will use vectors since it's the simplest way in which we can solve it. This can be solved by using related rates of change though.
First, we start by drawing a diagram with the velocity vectors.
A= velocity of the first person
B= velocity of the second person
C= velocity in which they are moving away from each other.
Since there is no acceleration in the problem, we can suppose we are talking about constant speeds, so the velocity at which they are moving away from each other will always remain constant. (It doesn't matter what time it is, the velocity will always be the same)
Having said this we can solve this problem by using the components, by using law of cosines or graphically. I will use law of cosines. The idea is to find the length of side c.
Law of cosines:
so we can solve the formula for C so we get:
and now we can substitute the values we know:
if we want an exact answer, then that will be the exact answer, which approximates to:
C=5.89 mph
