Answer:
7.4 feets
Step-by-step explanation:
Distance from bottom of ladder to side of the house = d
θ = 62 ; height, h = 14
Using trigonometry :
Tan θ = opposite / Adjacent
Opposite = height ; adjacent = d
Tan 62° = 14 / d
1.8807264 * h = 14
d = 14 / 1.8807264
d = 7.44
Answer:
[-11/5,∞)
Step-by-step explanation:
1. Add 4 to both sides: 7x-4+4≥-15+2x+4
2. Simplify: 7x≥2x-11
3. Subtract 2x from both sides: 7x-2x≥2x-11-2x
4. Simplify: 5x≥-11
5. Divide both sides by 5: 5x/5≥-11/5
6. Simplify: -11/5
Answer:
Point slope: y+4=4(x-3)
Slope-intercept: y=4x-16
Step-by-step explanation:
1. Use the slope formula to find the slope.
y2-y1/x2-x1
8--4/6-3 = 12/3
Slope is 4
2. Use the slope and one of the coordinates to put the equation in point-slope form.
Point slope form: y-y1=m(x-x1)
y+4=4(x-3)
3. Distribute and simplify to put it in slope-intercept form.
y+4=4x-12
y=4x-16
Answer:
The gradient is m=1/3
Step-by-step explanation:
The gradient, known as the slope, is the rate of change, defined as the change in y divided by the change in x. In this case, we will select two points from the line and calculate the slope from there. I selected (0,3) and (3,4) to demonstrate:
Slope=m=(y2-y1)/(x2-x1)=(4-3)/(3-0)=1/3
Therefore, the gradient/slope is 1/3.
Answer:
300
Step-by-step explanation:
there are 9 15's in 120 which means its going by 15's 3 x 5= 15 and if it says 6 that means its timesed by 2. 15 x 2= 30 then 30 x 10= 300