Answer:
about 8.2 cm
Step-by-step explanation:
The key is to realize that the volume never changes.
The formula for the volume of a sphere is (4/3)*pi*radius^3
22/7 is being substituted in place of pi in this problem
The volume of one of the small spheres is
(4/3)*(22/7)*2^3 is about 33.524 cm^3
64 of those spheres would have a volume of 33.524*64, or about 2145 cm^3
Now, the problem is to find a sphere with a volume of 2145 cm^3
Volume = (4/3)*(22/7)*radius^3
plug in and solve
2145 = 4.1905*r^3
r^3=511.87
r is about equal to 8.2 centimeters
Answer:
2 3/4 dozen cookies per hour
Step-by-step explanation:
To find his unit rate per hour, divide 5 1/2 by 2:
5.5/2
= 2.75 or 2 3/4 dozen cookies
So, his unit rate in dozen cookies per hour is 2 3/4
Answer:
7.3
Step-by-step explanation:
For this question, you must use the distance formula. The distance formula is based around Pythagorean Theorem, so you will see some similarities.
Distance = 
X2 is 7 (X coordinate of school)
X1 is 5 (X coordinate of friend's house)
7 - 5 = 2
2^2 = 4
Y2 is 7 (Y coordinate of school)
Y1 is 0 (Y coordinate of friend's house)
7 - 0 = 7
7^2 = 49
4 + 49 = 53
= 7.2801...
<em>Round to the nearest tenth...</em>
<em>7.3</em>
The correct answer is " (1) Reflect ABC across the x-axis and call this new triangle A'B'C'. (2) Translate A'B'C' 2 units right and 6 units up so that its image is A''B''C''. "
It is assumed that the points are
A in ABC is (1,9), B in ABC is (3,12), and C in ABC is (4,4).
A'' in A''B''C'' is (3,-3), B'' in A''B''C'' is (5,-6), and C'' in A''B''C'' is (6,2).
Both triangles are congruent. Since they are congruent, there are no contractions nor dilations occured. After rotating clockwise, we get A"C"B". So we need to reflect it to get A"B"C"
hope this helped :D
