Answer:
Step-by-step explanation:
Lets remember the following expression:
cos(x-a)= cos(x)*cos(a)+sin(x)*sin(a)
if a= -3 pi /2 then:
cos(x-3 pi/2)= cos(x)*cos(3pi/2) + sin(x)*sin(3pi/2)
Since cos (3pi/2) is located exactly at 'y' axis, its value=0
Moreover sin(3pi/2)= -1 because, that angle is located at 'y' axis, negative side
cos(x-3pi/2)= -sin(x)
But, we can simplify a little more since we now that tan(x)=3/4
That means that sin(x)/cos(x)= 3/4, from that expression we isolate sin(x) and we obtain that sin(x)=cos(x) * 3/4
Using the above conclusion we have that
cos(x-3pi/2)= -cos(x)*3/4
Yes it is an exponential function as the value of y increases exponentially as x increases.
Answer:
Right triangle
Step-by-step explanation:
Properties for acute, obtuse or right triangle,
1). Given triangle will be a right triangle if,
Hypotenuse² = (Leg 1)² + (Leg 2)²
2). Triangle will be an acute triangle if,
(Largest side)² < (leg 1)² + (leg 2)²
3). Triangle will be an obtuse triangle if,
(Largest side)² > (leg 1)² + (leg 2)²
Now we apply these properties in the given triangle,
(Largest side)² = (√11105)²
= 11105
(leg 1)² = (76)²
= 5776
(leg 2)² = (73)²
= 5329
Since 11105 = 5776 + 5329 (First Property)
11105 = 11105
Therefore, given triangle is a right triangle.
Answer:
Option (3)
Step-by-step explanation:
Integers are the numbers which don't have a fractional part (having positive of negative notations)
Example; -2, -1, 0, 1, 2,...
Let the two integers are 0 and 2,
Subtraction of these integers will be = 0 - 2
= 0 + (-2)
Here opposite of 2 has been added to 0.
That means subtraction of two integers is to add the opposite of the integer being subtracted.
Option (3) will be the answer.
In one day all the pets eat 9/4 cups of food. 9/4 ×8=72/4 72/4 simplified is 18. So in 8 days, all of the pets eat 18 cups of food!
Hope this helps