Answer:
177 balls
Step-by-step explanation:
Let's start with the space we need for each sphere. If we approximate the value of the area to that of a cube that has the same dimensions of the diameter
[tex]V=H*W*D=0.8*0.8*0.8= 0.51 inches3
I can calculate the volume of the box as
[tex]V=H*W*D=3*4*7.5= 90 inches3
Finally I divide the volume of the box between the volume I need for each sphere Vt/Vs= 90/0.51 ≅ 177 balls
Answer:
step 1: distribute -1
step 2: combine like terms
step 3: subtract 4 on both sides
step 4: divided both sides by -8, so u can isolate M alone
M=-2
Step-by-step explanation:
It is A and B I think hope it helps
Answer:
49
Step-by-step explanation:
The area of a shape is the amount of space it can occupy.Laura's design will be light enoughThe shape is given as a trapezium (see attachment).First, calculate the height (h) of the trapezium using the following Pythagoras theorem 52=h2+x2 Where: x=11−92=1 So, we have: 52=h2+x2 52=h2+1225=h2+1 Collect like terms h2=25−1 h2=24 Take square root sh=4.90The area of the shape is then calculated as follows: Area=12(11+9)×h Area=12(11+9)x4.90 Area=12×20×4.90 Area=10×4.90 Area=49
The area of the shape is 49 square inches.Hence, the shape will be light enough (because 49 is less than 80