Answer in image.
Knowledge point: Trigonometry - tangent concept
Answer:
Part 1) The volume of the storage body is 576 cubic feet
Part 2) To find out how many boxes can she fit in the storage body, divide the volume of the storage body by the volume of each box
Part 3) Sheila can fit 64 boxes into the truck
Step-by-step explanation:
step 1
Find the volume of the storage body
we know that
The volume of the of the storage body is equal to the volume of two rectangular prism
The volume of a rectangular prism is equal to

First rectangular prism (top)

Second rectangular prism (bottom)

The volume of the storage body is

step 2
we know that
To find out how many boxes can she fit in the storage body, divide the volume of the storage body by the volume of each box
step 3
substitute the given values

therefore
Sheila can fit 64 boxes into the truck
Answer:
since p value < x(0.05) so we reject the null hypothesis
step 5 ( conclusion)
reject the null hypothesis and there is sufficient evidence to support the claim that the true average percentage differs from 5.5.
Step-by-step explanation:
check the attachment for detailed explanation
Answer:
At first, we divide the parallelogram into two triangles by joining any two opposite vertices. These two triangles are exactly the same (congruent) and thus have equal areas. The area of the parallelogram is the summation of the individual areas of the two triangles. We drop a perpendicular from a vertex to its opposite side to get an expression for the height of the triangles. The area of the individual triangle is 12×base×height12×base×height .The area of the parallelogram being twice the area of the triangle, thus becomes after evaluation base×heightbase×height .
Complete step by step answer:
The parallelogram can be divided into two triangles by constructing a diagonal by joining any two opposite vertices.


In the above figure, ΔABDΔABD and ΔBCDΔBCDare the two such triangles. These two triangles have:
AB=CDAB=CD (as opposite sides of a parallelogram are equal)
AD=BCAD=BC (opposite sides of a parallelogram are equal)
BDBD is common
Thus, the two triangles are congruent to each other by SSS axiom of congruence. Since, the areas of two congruent triangles are equal,
⇒area(ΔABD)=area(ΔBCD)⇒area(ΔABD)=area(ΔBCD)
Now, we need to find the area of ΔABDΔABD . We draw a perpendicular from DD to the side ABAB and name it as DEDE . Thus, ΔABDΔABD is now a triangle with base ABAB and height DEDE .
Then, the area of the ΔABD