Dereck and Sam are standing 3.1 feet apart.
The situation forms two right angle triangle.
<h3>What is a right angle triangle? </h3>
A right angle triangle is a triangle that has one of its angles as 90 degrees.
Derek looks at a 10 foot basketball goal with an angle of elevation of 29°.
Sam looks at the goal with an angle of elevation of 43°.
Sam is directly in front of Dereck. Therefore,
Dereck distance from the base of the basket ball can be found as follows:
tan 29 = opposite / adjacent
opposite side = 10 ft - 5.83 ft = 4.17 ft
tan 29 = 4.17 / x
x = 4.17 / 0.55430905145
x = 7.52287913948
x = 7.523
Sam distance from the base of the basket ball can be found as follows
tan 43 = 4.17 / y
y = 4.17 / 0.93251508613
y = 4.47177752084
y = 4.471
There feet apart = 7.523 - 4.471 = 3.052 = 3.1 feet
learn more on elevation here:brainly.com/question/24442138?referrer=searchResults
Answer:
The answer is 76
Step-by-step explanation:
qp - 8m - m + 1 - m; m = -3, p = 9, and q = 5
(5)(9) - 8(-3) - (-3) + 1 - (-3)
45 + 24 + 3 + 1 + 3 = 76
Thus, The answer is 76
<u>-</u><u>TheUnknownScientist</u><u> 72</u>
The reciprocal of a fraction is only a whole number when
the numerator of the original fraction is ' 1 ' or a factor of
the denominator (original fraction is not in simplest form).
Any other time, the reciprocal of the fraction is another fraction.
(It'll be an improper fraction, and can be written as a mixed number.)
The reciprocal of a fraction is just the same fraction
turned upside down.
-- The reciprocal of 1/5 is 5/1 or just 5 .
(Original numerator is ' 1 '.)
-- The reciprocal of 5/25 is 25/5 or just 5 .
(Original fraction is not in simplest form.)
-- The reciprocal of 5/7 is 7/5 , or 1 and 2/5 .
The square root is 447.21359549995793
<u>Answer:</u>
Minimum possible area = 6.75 km^2
Maximum possible area = 13.75 km^2
<u>Step-by-step explanation:</u>
This question relates to significant figures so assuming that each of the given values is rounded off to the nearest kilometer.
So we can find the minimum and maximum possible areas of the rectangle.
Minimum possible area of rectangle = 1.5 × 4.5 = 6.75 square kilometers
Maximum possible area of rectangle = 2.5 × 5.5 = 13.75 square kilometers
