Answer:

Step-by-step explanation:
Let
x ----> the measure of one angle of the triangle
y ---> the measure of the second angle
z ----> the measure of the third angle
we know that
The sum of the measure of the interior angles in any triangle must be equal to 180 degrees
-----> equation A
One angle of a triangle measures 10 degrees more than the second
----> equation B
The measure of the third angle is twice the sum of the first two angles
---> equation C
substitute equation B in equation C

----> equation D
substitute equation D and equation B in equation A

solve for y

Find the value of x

Find the value of z

therefore

The third one I think I'm not sure
Answer:
The ratio of cosh is 12/13.
Answer:
option c) x₁₁ + x₁₂ = 8000
Step-by-step explanation:
Given:
xij = gallons of component i used in gasoline j
gallons of component 1 available = 8,000
demand gasoline types 1 = 11,000
demand gasoline types 2 = 14,000
Here, we have only component 1 available i.e i = 1 only
( therefore, all the options containing i = 2 gets eliminated )
thus,
component 1 will fulfill the demand of gasoline types 1 and 2 i.e j = 1 and 2
hence,
the equation satisfying the above conditions comes out as:
x₁₁ + x₁₂ = 8000
that means gallons of component 1 used in gasoline 1 and 2 and the total equals to the gallons of component 1 available i.e 8000
Answer:
=
+
+ C where C is the constant of integration.
Step-by-step explanation:
i)it is given that the rate of change of W with respect to x is proportional to
x + 18. Therefore
= k(x + 18) where k is a constant.
ii) Therefore
=
+
+ C where C is the constant of integration.
iii) the complete solution can only be found if we know the constant of proportion and also the constant of integration.