Let's make W = width, and L = length.
What do we know? We know that P = 40 yards, and L = W + 1.5 .
The formulas for perimeter and area are:
P = 2W+2L
A = W*L
We can set P to 40, and since L = W+1.5, we can substitute that in for L.
40 = 2W + 2 (W+1.5)
40 = 2W + 2W + 3
37 = 4W
W = 37/4
We can plug that into L to find the length.
L = W + 1.5
L = 37/4 + 3/2
L = 43/4
Now, we plug into the area formula!
A = L*W
A = 43/4 * 37/4
A = 1591/16 or 99.43 yd^2
5,000,000 is how you write 5 million
Answer:
X=3
Step-by-step explanation:
4x-12+1=1
4x=1-1+12
4x=12
x=12/4
x=3
Answer:
The measures of each would be:
105° and 75°
Step-by-step explanation:
Supplementary angles are two angles whose measures sum up to 180° or they form a straight line.
So if an angle measures 30° less than the measure of its supplementary, it wold mean that both angles together is equal to 180°.
∠1 = x
∠2 = x-30°
∠1 + ∠2 = 180°
So here we plug in our equations:
∠1 + ∠2 = 180°
x + x - 30° = 180°
2x - 30° = 180°
We solve for the x then:
Add 30° on both sides of the equation:
2x - 30° + 30° = 180° + 30°
2x = 210°
Divide both sides by 2:
2x/2 = 210°/2
x = 105°
∠1 = 105°
Now we solve for the second angle:
∠1 + ∠2 = 180°
105° + ∠2 = 180°
Subtract 105° from both sides of the equation:
105° + ∠2 - 105° = 180° - 105°
∠2 = 75°
Answer:
5 - 7
Step-by-step explanation:
a - b
5 - 7 = -2
