Answer:
$166.42.
Step-by-step explanation:
We have been given that the price of the cell phone is expected to increase by 165% in September 2015. The current price of a cell phone is $62.80.
The price of cell phone in September 2015 will be $62.80 plus 165% of $62.80.
Therefore, the predicted cost of a cell phone in September 2015 will be $166.42.
Answer:
46
Step-by-step explanation:
“the product of 6 and 9 decreased by 8"
“the product of 6 and 9" = 6 * 9
"decreased by 8" = - 8 (subtract 8 from whatever, in this case 6 * 9)
“the product of 6 and 9 decreased by 8" = 6 * 9 - 8 = 46
Please find the attached diagram for a better understanding of the question.
As we can see from the diagram,
RQ = 21 feet = height of the hill
PQ = 57 feet = Distance between you and the base of the hill
SR= h=height of the statue
=Angle subtended by the statue to where you are standing.
=
which is unknown.
Let us begin solving now. The first step is to find the angle which can be found by using the following trigonometric ratio in 
:
Which gives x to be:
Now, we know that and 
will get added to give us the complete angle 
in the right triangle 
.
We can again use the tan trigonometric ratio in to solve for the height of the statue, h.
This can be done as:
Thus, the height of the statue is approximately, 8.45 feet.
Answer:
(x + 2)² + (y + 7)² = 9
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r the radius
Here (h, k) = (- 2, - 7) and r = 3, thus
(x - (- 2))² + (y - (- 7))² = 3², that is
(x + 2)² + (y + 7)² = 9
Answer:
A. Angles 1 and 4
D. Angles 2 and 3
Step-by-step explanation:
Alternate interior angles are a pair of angles which alternate each other lying on either side of the transversal but within the two parallel lines that is cut across by the transversal.
In the diagram above, the following are alternate interior angles:
<1 and <4,
<2 and <3
