Answer:

Step-by-step explanation:
The given equation is 4 + 2/3 x = -5
Taking variable on one side and constants on other side, we get


The number in decimal form is given by -13.5
The number in fraction form is given as 
Answer: In degrees , The measure of 
In radians , the measure of
.
Step-by-step explanation:
We know that the formula for length of arc is given by :-
, where
= Central angle subtended by arc.
r= radius of the circle.
As per given , we have
Radius of circle : r=7 m
Length of arc : l= 8 m
Substitute these values in the above formula , we get
Hence, the measure of
.
To convert it into degrees we multiply it with 
The measure of 


Hence, the measure of 
<span>24r - 3(2r - 5t) - 4t
= 24r - 6r + 15t - 4t
= 18r + 11t
answer
</span><span>18r + 11t</span>
Answer:

Step-by-step explanation:
General slope intercept form equation of straight line is given as

where m is slope and b is y-intercept
here m=24 and b=-5
Therefore

Tgα = tan(α) = sqrt(2)/1 = opposite/ adjacent
opposite = sqrt(2)
adjacent = 1
hypotenuse = sqrt(opposite^2 + adjacent^2)
= sqrt(sqrt(2)^2 + 1^2) = sqrt(3)
sin(α) = opposite/hypotenuse
= sqrt(2)/sqrt(3)
cos(α) = adjacent/hypotenuse
= 1/sqrt(3)
now we can calculate the value of
5sin²α+3cos²α / 3sin²α-5cos²α
... do the math