Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Given
sin²x + 7cosx + 17
=1 - cos²x + 7cosx + 17
= - cos²x + 7cosx + 18 ← factor out - 1 from each term
= - (cos²x - 7cosx - 18)
Consider the factors of the constant term (- 18) which sum to give the coefficient of the cosx term (- 7)
The factors are - 9 and + 2, thus
= - (cosx - 9)(cosx + 2) ← in factored form
Answer:
Vertical lines have undefined (or no) slope always, so this is a true statement. To see why, look at a horizontal line (which is perpendicular). They have zero slope. That comes from the y = mx + b slope intercept form and their equation being y = b, and b is some number.
Step-by-step explanation:
What is the value for the a variable and b variable?
Answer:
1) 1500 meters.
2) 3600 meters.
Step-by-step explanation:
Firstly we need to find the value of angle x in the given figure attached to the answer and then use the trignometric identity to calculate the value for 1) and 2) part.
as we know that the triangle is a right angled triangle also second angle is given so we can find the value of the third triangle using the sum of all the angles of a triangle is 180°.
x+67.4°+90°=180°
x=22.6
1)
Now we know that:
Hence to the nearest meter the value of a will be: a=1500 meter.
Hence, When the probe reaches the ocean floor, the probe will be approximately 1500 meters below the surface, measured vertically from the surface
2)
We are asked to find the value of 'b'.
As 
Hence to the nearest meter the value of b is 3600.
When the probe reaches the ocean floor, the horizontal distance of the probe from the team’s ship on the ocean surface will be approximately 3600 meters.
Answer:
36 crickets per day
Step-by-step explanation:
Calculation for how many crickets do the lizards eat each day
Using this formula
Numbers crickets eaten per day=Crickets per week/Numbers of days in a week
Let plug in the formula
Numbers crickets eaten per day=250 crickets per week/7days
Numbers crickets eaten per day=35.7
Numbers crickets eaten per day=36 crickets per day (Approximately)
Therefore the numbers of crickets that the lizards eat each day is 36 crickets per day
