Answer:
The value of Cos (-Ф)
.
Step-by-step explanation:
Given Trigonometric function as :
sin( - Ф ) = 
- sin Ф = 
So, sin Ф = 
Now, as sin Ф = 
So ,
= 
So, perpendicular = 3
And hypotenuse = 5
Now,<u> From Pythagoras Theorem</u>
Base ² = Hypotenuse² - Perpendicular²
Or, Base ² = 5² - 3²
Or, Base ² = 25 - 9
Or, Base ² = 16
∴ Base = 
I.e Base = 4
Now, Cos Ф = 
So, Cos Ф = 
Now , Since
Cos ( - Ф ) = Cos Ф
So, Cos ( - Ф ) = Cos Ф = 
Hence The value of Cos (-Ф)
. Answer
Answer:
21120
Step-by-step explanation:
1 mile = 5280 feet
5280 feet * 4 = 21120
It is about 98.6666 hope i helped
Claim: The measures of
and
are equal
Answer: True
Explanation: Dilations preserve the shape of an image, so this means the angles are kept the same whether you shrink or enlarge the preimage.
====================================================
Claim: The coordinates of A and A' are the same
Answer: True
Explanation: The phrasing "dilating about point A" means that point A is the center of the universe, so to speak, in terms of this dilation operation. Point A is the fixed point that does not move while every other point does move. Because the scale factor is 2/3, which is less than 1, this means every other point comes closer to point A. So something like segment AB will get shorter.
Answer:
n = -6
x = -7
n = 27
Step-by-step explanation:
Question 1
-3n - n + 12 = 36
First we get all the variables to one side using subtraction property of equality.
-3n - n + 12 (-12) = 36 (-12)
-4n = 24
divide by the coefficient of n to isolate the variable
-4n/-4 = 24/-4
n = -6
Question 2
-2x - 3x - 15 = 20
-5x - 15 = 20
-5x = 35
x = -7
Question 3
3 + n/9 = 6
Isolate the n variable
n/9 = 6 - 3
multiply by 9
n = 27