Step-by-step explanation:
<u>1</u><u> </u>*9^2 + 4
3
<u>1</u><u> </u>* 81 + 4
3
<u>1</u><u> </u>* 85
3
<u>85</u>
3
=28
Answer:
Area of the sector = 57.26295cm²
Step-by-step explanation:
Radius of the circle=9cm
π= 3.142
Angle at B= 81° ( opposite angle of a quadrilateral)
Area of the sector = πr² * 81/360
Area of the sector = 3.142 * 9*9 * 0.225
Area of the sector= 3.142*81*0.225
Area of the sector = 57.26295cm²
Answer:
280 cubic inches
Step-by-step explanation:
Cubic inches of foam required = volume of the box - volume of the basketball
The box has a shape of a cube, so that;
volume of the box = 
where l is the length of the sides of the box.
volume of the box = 
= 729 cubic inches
volume of the box = 729 cubic inches
The basketball has the shape of a sphere, so that;
volume of the basketball =


=
x 3.14 x 
= 448.693
volume of the basketball = 448.693 cubic inches
Thus,
cubic inches of foam required = 729 - 448.693
= 280.307
The cubic inches of foam to be used is 280 cubic inches.
Answer:
We conclude that the distance between the two numbers on a number line will be: 322
Step-by-step explanation:
Given the numbers
-212
-534
There can be a lot of ways to determine the distance between the two numbers on a number line like counting every number between them.
But, we can use a more efficient method in terms of determining the distance by taking the absolute value of the difference between those numbers.
so
Distance between the numbers:

Apply rule: -(-a) = a


Apply absolute rule: 

Therefore, we conclude that the distance between the two numbers on a number line will be: 322
Answer:
86 is the score that Maurice must get to average his score to 80