
<u><em>Step-by-step explanation:</em></u>
- Since the triangle is right use the tangent ratio to solve for x

- Multiply both sides by
x ×
( divide both sides by
)
x = ≈ ( nearest tenth )
Answer:A) no solutions
Step-by-step explanation:
1) set both problems equal to each other
2) subtract four from each side
3) subtract 2x from each side
4) 10 does not equal 0
Answer:
a.
b. View graph
c. 6.40u
Step-by-step explanation:
knowing that the triangle area is equal to base by heigh between two, then:

The length of the longest altitude of your triangle is:

finally it can be seen that the position of the triangle does not matter, as long as the base and heigh are maintained, the area of the triangle will be the same
<span>From the given information cosec theta times tan theta times cos theta, writing this triginometric expression as an equation.
cosec theta x tan theta x cos theta
cosec theta = 1/sin theta
tan theta = sin theta / cos theta
Calculating the equation after substituting
(1/sin theta) x (sin theta / cos theta) x (cos theta) = 1</span>
Answer:
A. x = 2 and y =2
B. x = 3 and y = -1
Step-by-step explanation:
A. {
x = 3y − 4
2x − y = 2
1) Substitute the value of x
2(3y − 4) − y = 2
2) Solve the equation for y
y = 2
3) Substitute the value of y
x= 3(2) -4
4) Solve the equation for x
x = 2
Final Solution: x = 2 and y =2
B. {
3x + 2y = 7
−x + y = −4
1) Multiply both sides of the equation by 3
-3x + 3y = -12
2) Eliminate one variable by adding the equations
3x + 2y = 7
<u>+ (−3x + 3y = −12)</u>
5y = -5
3) Divide both sides of the equation by 5
y = -1
4) Substitute the given value of y into the equation -x + y = -4
-x + (-1) = -4
5) Solve the equation for x
x = 3
Final Solution: x = 3 and y = -1