Draw a rectangle with diagonal 5 in. Inside this rect. are 2 acute triangles of hypotenuse 5. Note that 3^2 + 4^2 = 5^2; thus the width of the rect. is 3 and the length is 4, with the result that the hypo. is sqrt(3^2+4^2), as expected.
Answer:
The interest he will be paid in the first 4 years is $360
Step-by-step explanation:
The rule of the simple interest is I = Prt, where
∵ Bill deposits $3,000 into an account
∴ P = 3000
∵ The account pays simple interest at a rate of 3% per year
∴ r = 3% = 3 ÷ 100 = 0.03
∵ The time is 4 years
∴ t = 4
→ Substitute these values in the rule above
∵ I = 3000(0.03)(4)
∴ I = 360 dollars
∴ The interest he will be paid in the first 4 years is $360
Since x=8y, subsitute 8y for x in other equation
y=6x-11
y=6(8y)-11
y=48y-11
minus y both sides
0=47y-11
add 11 to both sides
11=47y
divide both sides by 47
subsitute taht for y to find x
x=8y
in (x,y) form
(x,y)
Area of a circle = pi*r^2.
Here, A = 380.13 mi. Unfortunately, "mi" is NOT a unit of area.
So I will assume that the problem should read A = 380.13 sq. miles.
380.12 mi^2
Thus, 380.13 mi^2 = 3.14*r^2, and r^2 = ------------------- 121.057 mi^2
3.14
The radius is the sqrt of 121.057 mi^2: 11.00 miles.
The diam. is twice that, or d = 22.00 miles.
Answer:
18.25
Step-by-step explanation:
1/4 = 0.25
