Answer:
The angle of elevation of the sun is 33.7⁰
Step-by-step explanation:
let the height of the tree, T = 10 foot
length of the shadow created by the tree, B = 15 feet long
Height of the tree and the shadow of the tree forms a right angle triangle with the remaining side that joins the two which is known as hypotenuse.
Let the remaining side, hypotenuse, L = ?
Apply Pythagoras theorem;
L ² = T² + B²
L ² = 10² + 15²
L ² = 325
L = √325
L = 18.03 ft
The angle of elevation of the sun, is the angle facing the height of the tree with the length of the shadow of the tree as adjacent of the triangle.
Let the angle of elevation = θ
tan θ = opp / adj
tan θ = 10 / 15
tan θ = 0.66667
θ = tan ⁻¹ (0.66667)
θ = 33.7⁰
Therefore, the angle of elevation of the sun is 33.7⁰
Answer:

Step-by-step explanation:
we know that
The equation of a vertical parabola into vertex form is equal to

where
(h,k) is the vertex of the parabola
if a>0 -----> the parabola open upward (vertex is a minimum)
if a<0 -----> the parabola open downward (vertex is a maximum)
<u>Verify each case</u>
case A) 
The vertex is the point 

a>0 -----> the parabola open upward (vertex is a minimum)
The range is the interval--------> [5,∞)

case B) 
The vertex is the point 

a<0 -----> the parabola open downward (vertex is a maximum)
The range is the interval--------> (-∞,5]

case C) 
The vertex is the point 

a>0 -----> the parabola open upward (vertex is a minimum)
The range is the interval--------> [4,∞)

case D) 
The vertex is the point 

a<0 -----> the parabola open downward (vertex is a maximum)
The range is the interval--------> (-∞,4]

For this case we have the following expression:

What we must do in this case is to use one of the properties of the sum.
In this case, we must use the associative property.
The associative property states:

We have then:

Simplifying we have:


Answer:
the following is equal to (2x / 3 - 7) + 7
D. 2x / 3.
Answer:
2.5 x 10^{-2] = 0.025
Step-by-step explanation:
If you mean standard DECIMAL form, then you move the decimal point 2 places to the left because of the negative power of 10:
The answer to question 3 is D. 15(4a+3). And the answer to question 4 is A. 90. Have a great day