Answer:
42.9 cm^3
Step-by-step explanation:
Volume of the box= (base x width x height) = 8.5 x 5 x 5 = 212.5 cm^3
Radius of a ball = 1.5 cm
Volume of a ball = 4/3 * radius^3 * pi = 4/3 x 1.5^3 x pi = 14,137167 cm^3
Volume of the balls = 14,137167 x 12 = 169,646003 cm^3
Final answer = 212.5 - 169,646003 = 42.9 cm^3
Answer:
- <u>80 mi²</u>
- <u>63 in²</u>
- <u>32 m²</u>
- <u>44 cm²</u>
- <u>59.5 ft²</u>
- <u>48 km²</u>
Step-by-step explanation:
<u>Q1</u>
- 8 x 4 + 12 x 4
- 32 + 48
- <u>80 mi²</u>
<u>Q2</u>
- 5 x 3 + 12 x 4
- 15 + 48
- <u>63 in²</u>
<u>Q3</u>
- 4 x 2 + 8 x 3
- 8 + 24
- <u>32 m²</u>
<u>Q4</u>
- 10 x 4 + 2 x 2
- 40 + 4
- <u>44 cm²</u>
<u>Q5</u>
- 5 x 2 + 11 x 4.5
- 10 + 49.5
- <u>59.5 ft²</u>
<u>Q6</u>
- 3 x 1 + 9 x 5
- 3 + 45
- <u>48 km²</u>
First off, the underline underneath means plus or minus, since when you take the square root of something, the answer can be negative or positive at the same time
1. 64 is a perfect square. 8 x 8 = 64, therefore it is +- (plus or minus) 8.
2. 45 is not a perfect square, so you can pull out numbers or plug into a calculator and estimate.
Both answers: Since 45 is divisible by 9 and five, you can break a nine into two threes, therefore pull it out, and since the answer is negative, you get:
-3(5)^0.5 (an exponent of one-half or 0.5 means square root)
If you solve by calculator, the answer is ~= (approximately equal to) -6.72
3. Since 90 is not a perfect square, repeat the previous question. 9 can go into 90, therefore you can pull out two threes and are left with: +-3(10)^0.5
Using the calculator, you get ~= +-9.49
We know that
if the y terms is squared so it opens left or right
Is a Horizontal Parabola, the equation is of the form
(y-k)²=4(p)(x-h)
vertex is (h,k)
and
p is distance from focus to vertex, also distance from vertex to directrix
if p>0, then it opens to the right and directrix is to the left of vertex
if p<0, then it opens to the left and directrix is to the right of vertex
so
(y-1)²=4(4)(x-(-3))
vertex is (-3,1)
4>0 so directrix is to left of vertex
left is in x direction
-3-4=-7
directrix is x=-7
the answer isx=-7
see the attached figure
4/15 = 0.267
8/25 = 0.32
0.267/0.32 = 0.834375