Answer:
102cm³
Step-by-step explanation:
Imagine the shape as two rectangular prisms, a small one on top of a bigger one. Find their volumes individually, and then add them together:
<u>Small rectangular prism</u>
Volume=length*width*depth
=2*3*(7-5)
=6*2
=12cm³
<u>Bigger rectangular prism</u>
Volume=length*width*depth
=6*3*5
=6*15
=90cm³
12+90=102cm³
Answer:
can u copy the text and send it to help u
Answer:
Approximately
n = 21 years
Step-by-step explanation:
Original height of the tree = 4 1/2 feet
Final height of the tree = 40 feet
Common difference = 1 3/4 feet per year
The data shows the question is an arithmetic progression
Tn = a + (n-1) d
Tn = 40
a = 4 1/2
d = 1 3/4
n = ?
Tn = a + (n-1) d
40 = 4 1/2 + ( n - 1) 1 3/4
40 = 9/2 + (n - 1) 7/4
40 = 9/2 + 7/4n - 7/4
40 = 18-7/4 + 7/4n
40 = 11/4 + 7/4n
40 - 11/4 = 7/4n
160-11/4 = 7/4n
149/4 = 7/4n
Divide both sides by 7/4
n = 149/4 ÷ 7/4
= 149/4× 4/7
= 149/7
n = 21.29 years
Approximately
n = 21 years
Slit the shape into a rectangle and two triangles:
Rectangle = 9 x 8 = 72 sq. Ft.
Triangle = 1/2 x 8 x 2.5 = 10 sq. Ft x 2 = 20 sq. Ft.
Total area = 72 + 20 = 92 sq. Ft.
3 coats x 92 = 276 sq ft worth of paint.
1 quart covers 200 so he would need to buy 2 quarts:
2 x $8.97 = $17.94 total
The is answer is choice 3