Check the picture below.
now, we're assuming "to the building" means "to the ground", since we don't know the building's height, so we're also assuming the 1200m is above the building, as you see in the picture.
make sure your calculator is in Degree mode.
Answer:
The length of the longest side of the triangle is 13 inches
Step-by-step explanation:
step 1
Find the value of x
we know that
The perimeter of triangle is equal to the sum of its three length sides
so


we have

substitute

solve for x

step 2
Find the length of the longest side of the triangle
Remember that in a right triangle, the longest side is the hypotenuse
so
(2x+3) is the longest side
substitute the value of x

Using relations in a right triangle, it is found that:
tan(A) = 3/4 = 0.75.
<h3>What are the relations in a right triangle?</h3>
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
In this triangle:
- The adjacent side to A has length 40.
- The opposite side to A has length 30.
Hence the tangent of A is:
tan(A) = 30/40 = 3/4 = 0.75.
More can be learned about relations in a right triangle at brainly.com/question/26396675
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The "expected value of a ticket" is the probability of being drawn multiplied by the earnings associated to being drawn.
($1 is the price of the ticket which of course can be different).
So in this case probability is 1/2000 and the earnings would be valued $1000 (value of the plasma TV).
The expected value is 1/2000*1000=1000/2000=$0,5
This means you should not buy a $1 ticket to play except if this really brings you LOTS of amusement ;)
Answer:
Option (A)
Step-by-step explanation:
Let the equation of the line passing through a point (x', y') and slope 'm' is,
y - y' = m(x - x')
Slope of the line passing through two points (0, 5) and (4, -7),
m = 
= 
= -3
As slope of the line is negative, Options (A) and (B) will be the possible options.
Therefore, equation of the line passing through (4, -7) will be,
y - (-7) = -3(x - 4)
y + 7 = -3(x - 4)
Therefore, Option (A) will be the correct option.