Answer:
The width is 3cm
Step-by-step explanation:
Since the area of the rectangle is 27cm² and the length is 9cm you can just divide 27 by 9 to find out the width of the rectangle
Answer:
30 m^2.
Step-by-step explanation:
This is a right-angled triangle because it obeys the Pythagoras theorem
( 13^2 = 12^2 + 5^2).
So its area = 1/2 * base * height
= 1/2 * 5 * 12
= 30 m^2
*see attachment for the diagram of the triangular prism box
Answer:
528.8 in.²
Step-by-step explanation:
Surface area of triangular prism = 2(BA) + P*H
Area of triangular base (BA) = ½*b*h
b = 24.5 in.
h = 12 in.
BA = ½*24.5*12 = 147 in.²
Perimeter of triangular base = 24.5 + 17.1 + 17.1 = 58.7 in.
Height of prism = 4 in.
Plug in the values into the surface area formula:
Surface area of prism = 2(147) + 58.7*4
= 294 + 234.8
= 528.8 in.²
Answer:
Solutions are (6,3) and (-2,3).
Step-by-step explanation:
From the first equation given we can write:
substituting for 
in the second equation given we get
∴ y=3
Putting y=3 in the first equation we get
x-2 = ±4
Hence x=6 or x=-2.
Answer:
a. about 15.51 miles, rounded to 15.5 miles
b. about 31.02 miles, rounded to 31 miles
Step-by-step explanation:
Sunday Monday Tuesday Wednesday Thursday Friday Saturday
10 20 40 80 160 320 640
1280 2560 5120 10240 20480 40960 81920
81920/5280 = 15.51515151, rounded to the nearest tenth of a mile, 15.5 miles
Question b asks for how many miles in total has he ran. That means we have to add each of the values shown above and that equals to 163830 feet.
Divide that by 5280 and that equals 31.02 miles, rounded to the nearest tenth, 31 miles.
