Answer:
x = -11/2
Step-by-step explanation:
The ratios need to stay the same
5x 11
----- = -------
x-2 3
Using cross products
5x*3 = (x-2) 11
15x = 11x - 22
Subtract 11 from each side
15x-11x = -22
4x = -22
x = -22/4
x = -11/2
1. The two equations follow the slope-intercept form which y=mx + b. They have the same y-intercept which is equal to 900.
2. Suppose x= 10
Plan Alpha: y=-7x+900=-7(10)+900=830
Plan Foxtrot: y = -17x+900 = -17(10)+900=730
Between the 2 plans, the lower value is 730. Plan Foxtrot is better for reduction of pollution.
3. The city council should choose Plan Foxtrot because the reduction of pollution is much greater. Their goal would be reached faster if they go with faster reduction of pollution.
Answer:
126 tiles
Step-by-step explanation:
The while tiles are 3/4 of a foot (or 9 inches) x 9 in, so their area is 81 sq in. There are 14 blue tiles, so 14 x 81 = 1134 sq inches that need to be covered.
Each tiles is 3 x 3, so its area is 9 sq in. 1134 / 9 = 126 tiles
Answer:
Question 37:
B) 21
Step-by-step explanation:
How I found the radius:
radius= 132/ 2 x π
r=132 / 6.2831853071796
r=21.0084525
Divide 132 by 6.2831853071796
π = 3.1415926535898
Note: Hope this Helps!
<em>-kiniwih426</em>
Cot x = cos x / sin x
cot π/4 = cot 45° = cos 45° / sin 45°
We know that sin 45° and sin 45° have the same value:
cos 45° = sin 45° = √2 / 2;
cos 45° / sin 45° = √2/2 : √2/2 = 1
Answer:
cot π/4 = 1