Answer:
Option B, Area of pentagon = 58.5 Square feet
Step-by-step explanation:
The remaining part of the question is attached as image
Solution
Area of pentagon has a triangle and a trapezoid
Area of triangle = 0.5 *base *height = 0.5*9 *3 = 13.5 square feet
Area of trapezoid = Area of rectangle – 2* area of smaller triangles
= 9 ft * 6ft – ( 2 * 0.5 * 6 ft * (9 ft – 6ft) /2
= 54 – (1*6*1.5)
Area of pentagon = 13.5 + 45 = 58.5 Square feet
Hence, option B is correct
Year GDP
y (billion $)
1985 577
1986 577+ 3.2% of 577 = 577 * 1.032
1987 577* 1.032 + 3.2% of 577 * 1.032 = 577 * (1.032)^2
1988 577 * (1.032)^3
1989 577 * (1.032)^4
.... .... => model GDP = 577 * (1.032)^ (y - 1985)
Then, for GDP = $3.4 trillion = $3400 billion =>
3400 = 577 (1.032)^ (y - 1985)
Divide both sides by 577:
(1.032)^ (y - 1985) = 3400 / 577 = 5.892548
Apply logarith to both sides:
(y - 1985) log (1.032) = log 5.892548
=> y - 1985 = log (5.892548) / log(1.032) = 56.3 years
=> y = 1985 + 56.3 = 2041.3
Answer: 2041
6(2(5)-4)= 6(10-4)= 6(6)=36 so your answer is 36
K is centroid of the the triangle => The answer is 7.5
They bought 2 cat toys and 3 dog toys.