Answer:
<u>Option A. 11.15 in³ </u>
Step-by-step explanation:
The question is as following:
A snow cone is a tasty treat with flavored ice and a spherical bubble gum ball at the bottom. The radius of the cone is 1.75 inches, and its height is 3.5 inches. If the diameter of the bubble gum ball is 0.5 inches, what is the closest approximation of the volume of the cone that can be filled with flavored ice?
A.) 11.15 in³
B.) 11.22 in³
C.) 0.07 in³
D.) 33.67 in³
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<u>Solution:</u>
Volume of the cone = π r² h/3
Vcone = 3.14 * (1.75in)² * 3.5in/3
Vcone = 3.14 * 3.0625 in² * 1.167
Vcone = 11.22 in³
Volume of the gum ball = 4/3 * π * r³
Vball = 4/3 * 3.14 * (0.5in/2)³
Vball = 4/3 * 3.14 * (0.25in)³
Vball = 4/3 * 3.14 * 0.015625 in³
Vball = 0.065 in³
11.22 in³ - 0.065 in³ = 11.155 in³
<u>The answer is option A. 11.15 in³ </u>
-3x - 3 (5x - 17) = 3
-3x - 15x + 51 = 3. combine like terms
-18 x + 51 - 51 = 3 - 51
-18x = -48 divide by -18
x = 3
put 3 in for x
-3 (3) -3y = 3 multiply
-9 +9 - 3y = 3 + 9 combine like terms
-3y = 12 divide by -3
y = -4
Answer: No, it is not.
Step-by-step explanation:
In order to solve this exercise it is important to remember the definition of "Integers".
Integers are defined as those numbers that do not have a fractional part. Integers contains:
1. The positive numbers (these are the numbers greater than zero):
2. The negative numbers (these are the numbers less than zero):
3. The zero:
It is also necessary to remember the definition of "Decimal numbers".
Decimal numbers are those numbers that have a whole part, a fractional part and a point that separates these parts. That point is called "Decimal point".
Then, given the following number:
You can identify that it has a whole part and a fractional part separated by the Decimal point. Therefore, that number it is not an Integer.
Area of the rectangle ==> 9x13 =117 cm²
Area of the right triangle ==> 11x(5)/2 =55/2 cm²
Total area = 117 + 55/2 = 289/2 = 144.5 cm²
Area of a square=side²
Data:
area=1230 mm²
Therefore:
side²=1230 mm²
side=√1230 mm²≈35.07 mm
Answer: the length of the side would be 35.07 mm