Answer:
The dimensions of the garden is 102 feet by 68 feet
Step-by-step explanation:
Here, we want to get the width and length of the garden
The perimeter is represented by the length of the fencing
From the question;
w = 2l/3
The formula for the perimeter is;
P = 2(l + w)
Thus;
340 = 2(l + 2l/3)
170 = (l + 2l/3)
Multiply through by 3
510 = 3l + 2l
5l = 510
l = 102 feet
w = 2/3 * l
w = 2/3 * 102
w = 68 feet
True or false, depending on the specifics. True, because the gravity makes it go to the ground. False, because gravity is always working, so you don't need to throw the ball. However since it doesn't say that it only happens when you throw it. The answer should be true.
Suppose the company invests x of their surplus in the 5% rate (and thus 40000-x has 6.5%). Then we have that 5%*x+(40000-x)6.5%=6.25%*40000.
We have that solving this, 5%* x+40000*6.5%-6.5%*x =6.25%* 40000 Accumulating terms, 1.5%*x=0.25%*40000 x=40000/6= 6666.67$. We see that if we invest 6666.67$ at 5%, we get exactly the given rate. If we invest more, we obviously get less. Hence, we have that the company has to invest at 6.5% more than 40000-6666.67=33333.33$
Cost of Sugar per pound = 3.29$
Cost of sugar for 7.9 pounds =
=>3.29 x 7.9
=>25.991$
Rounded to nearest 100ths place = 26.000$
Answer:
The coordinates of the point S = (12, -22)
Step-by-step explanation:
The coordinate points of T = (0,6)
Mid point of ST = (6,-8)
Let the coordinates of S = (a,b)
Now, BY MID POINT FORMULA:
If (x, y) and (z, w) are the line point joining line segment and (p,q) is the coordinate of mid point. Then
So, here similarly, 
⇒ 
⇒ a =2 x 6 = 12, b = 2 (-8) -6 = -22
⇒(a,b) = (12, -22)
Hence, the coordinates of the point S = (12, -22)
