Answer:
or
Step-by-step explanation:
Given
Required
Solve and graph
Remove absolute bracket
or
Solve for p
or
or
Divide by -1
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<em>See attachment for plot</em>
(1 point) a rectangular box has length 3 inches, width 13 inches, and a height of 4 inches. find the angle between the diagonal
of the box and the diagonal of its base. the angle should be measured in radians.
1 answer:
The length of the base diagonal (d) can be found using the Pythagorean theorem on length and width:
... d = √((3 in)² +(13 in)²) = √(9+169) in = √178 in
The tangent of the angle you want to find is the ratio of the height of the box to this length:
... tan(α) = 4/√178
Taking the arctangent, we have
... α = arctan(4/√178) ≈ 0.291285 radians
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Answer:
Step-by-step explanation:
see the attached figure with the letter D to better understand the problem
we know that
The segment side AD is the height of triangle ABC
so
Triangles PBQ and ABD are similar by AA Similarity Theorem
The area of triangle ABC is equal to
we have
substitute
Remember that
If two triangles are similar then the ratio of its corresponding sides is proportional
so
substitute the given values
