Answer:
See attached picture.
Step-by-step explanation:
To graph linear inequalities, use the y=mx + b form to graph using the slope and y-intercept.
y ≤ -4x + 40 has slope -4 and y-intercept (0,40).
Start at (0,40) and mark it. Then move down 4 units and to the right 1. Mark this point at (1,36). Connect the points with a solid line since the inequality has equal to. Substitute a point like (0,0) to test where the solution set is.
0 ≤ -4(0) + 40
0 ≤ 0 + 40
0 ≤ 40
This is true so shade to the left of the line.
To graph y ≤ 10 mark a point on the y-axis at (0,10). Draw a horizontal solid line through the point. Then shade below the line.
Answer:
35.5
Step-by-step explanation:
H, A
Cos=A/H
Cos 65= 15/x
x=15/cos 65
Given is :
The area of the rectangular patio is = 130 square feet
Let the width of the patio be = x feet
As length is 3 feet more than the width, so the length is = x+3 feet
Now area of rectangle is = length * width
This gives either x-10=0 or x+13=0
x-10=0 ; x=10
x+13=0 ; x=-13 (neglect this negative value)
So, the width of the patio is = 10 feet
Length = 10+3 = 13 feet
The small right angled triangle with hypotenuse vale 5 is similar to the big triangle with b as the hypotenuse
Corresponding sides are in the same ratio so we can write
a/12 = 5/b.....(1)
Also applying pythagoras theorem to the large triangle
b^2 = 5^2 + 12^2
b^2 = 169
b = 13
So substituting in equation (1):-
a / 12 = 5 / 13
a = (5*12 ) / 13
Answer:
529/55 and 57/2
Step-by-step explanation:
