Answer: 6
Step-by-step explanation:
"y>-2x+2 and y>-2x+5" are illustrated graphically by 2 straight dashed lines with slope -2. The lines are parallel because their slopes (-2) are the same. One line has y intercept 2 and the other has y intercept 5. The latter is above the former. Since both inequality signs are " > " we must shade the area ABOVE each of the 2 lines. The solution set is the area of the graph that has been shaded twice, once for y>-2x+2 and again for y>-2x+5. It's y>-2x+5 that has been shaded twice; this area is immediately above the line y>-2x+5.
Answer:
Option (D) is correct.
Step-by-step explanation:
In a triangle BCD , with b, c, d as the sides of triangle.
Sine rule states when we we divide side b by the sine of angle B then it is equal to side c divided by the sine of angle C and also equal to side d divided by the sine of angle D.
Using Sine rule,
Consider the first and third ratio,
Substitute the values of d = 3 , b= 5 and ∠D=25°
Thus, Measure of angle B is 45 and 135 as sinB is positive is first and 2nd quadrant.
Thus, option (D) is correct.
The walls are vertical so the angle opposite X would be a right angle which is 90 degrees.
X would be 180 - 90 - 35 = 55 degrees
X and 2y - 5 are complementary angles which add together to equal 90:
2y - 5 + 55 = 90
Simplify:
2y +50 = 90
Subtract 50 from both sides:
2y = 40
Divide both sides by 2:
y = 20
1. A, It goes past the 4, but the circle is not shaded because the answer cannot be 4
2. C. It goes below the 11 and is shaded because it can be equal to 11
3. D. It is less than 13 and cannot equal thirteen, hence the non shaded circle
4. B. I goes past the -2 and has the circle shaded because it can be equal to the -2
