So lets get to the problem
<span>165°= 135° +30° </span>
<span>To make it easier I'm going to write the same thing like this </span>
<span>165°= 90° + 45°+30° </span>
<span>Sin165° </span>
<span>= Sin ( 90° + 45°+30° ) </span>
<span>= Cos( 45°+30° )..... (∵ Sin(90 + θ)=cosθ </span>
<span>= Cos45°Cos30° - Sin45°Sin30° </span>
<span>Cos165° </span>
<span>= Cos ( 90° + 45°+30° ) </span>
<span>= -Sin( 45°+30° )..... (∵Cos(90 + θ)=-Sinθ </span>
<span>= Sin45°Cos30° + Cos45°Sin30° </span>
<span>Tan165° </span>
<span>= Tan ( 90° + 45°+30° ) </span>
<span>= -Cot( 45°+30° )..... (∵Cot(90 + θ)=-Tanθ </span>
<span>= -1/tan(45°+30°) </span>
<span>= -[1-tan45°.Tan30°]/[tan45°+Tan30°] </span>
<span>Substitute the above values with the following... These should be memorized </span>
<span>Sin 30° = 1/2 </span>
<span>Cos 30° =[Sqrt(3)]/2 </span>
<span>Tan 30° = 1/[Sqrt(3)] </span>
<span>Sin45°=Cos45°=1/[Sqrt(2)] </span>
<span>Tan 45° = 1</span>
Answer:
is the required equation.
Therefore, the second option is true.
Step-by-step explanation:
We know that the slope-intercept form of the line equation of a linear function is given by
where m is the slope and b is the y-intercept
Taking two points (0, -2) and (1, 0) from the table to determine the slope using the formula
substituting the point (0, -2) and the slope m=2 in the slope-intercept form to determine the y-intercept i.e. 'b'.
Now, substituting the values of m=2 and b=-2 in the slope-intercept form to determine the equation of a linear function
Thus, is the required equation.
Therefore, the second option is true.
1. answer is $246.68 (rounded) because 230 x 1.0725 (multiplier) is $246.675.
2. answer is B
3. answer is A rounded because you will get (51.5962...)
4. answer is A because when divide 40 by 42.59 you get 1.06475 (but that is the multiplier) so the answer is A
5. answer is A because 12000x 1.04 is 12480 and 12480-12000=480
6.I guess the answer is D but the total he earns is $2440 but from the one car he earns $2240 +$200 (which he earns anyway)
7.answer is A $9.16
8. the answer is B
(J-)Hope this helps
Answer: Choice C) 124 square cm
------------------------------------------------------------------
Explanation:
Let's calculate the area of the trapezoid shown
b1 and b2 are the parallel bases; h is the height of the 2D trapezoid
b1 = 2
b2 = 5
h = 1.5
A = h*(b1+b2)/2
A = 1.5*(2+5)/2
A = 1.5*7/2
A = 10.5/2
A = 5.25
The area of one 2D trapezoid is 5.25 sq cm
There are two of these trapezoids that form the base faces of the trapezoidal prism. So the total base area is 2*5.25 = 10.5 sq cm
Keep this value (10.5) in mind. We'll use it later.
------------
Now onto the lateral surface area (LSA)
It turns out that the formula for the LSA is
LSA = p*d
where
p = perimeter of the trapezoid shown
d = depth or height of the 3D trapezoid (I'm not using h as it was used earlier)
This formula works for any polygonal base. It doesn't have to be a trapezoid.
In this case the perimeter is,
p = 1.7+2+2.65+5
p = 11.35
So
LSA = p*d
LSA = 11.35*10
LSA = 113.5
Add this LSA to the base area found earlier
10.5+113.5 = 124
The total surface area is 124 square cm
Answer:
mu answer is A
Step-by-step explanation:
because if an point shows (0,0) shows the cost is $0 for 0 pound of dog food
hope this helps
