Answer:
That would be 5 possibilities (or 5 events for position 1).
If I’m not mistaking it is either 80.29 or 80.30 after rounding,I’m not sure.
Answer:
The new volume is 14,850cm³
Step-by-step explanation:
Given
Volume of a rectangular prism = 550cm
Required
Value of volume when the dimensions are tripled.
The volume of a rectangular prism is calculated using the following formula.
V = lbh
<em>When Volume = 550, the formula is written as follows</em>
550 = lbh
<em>Rearrange</em>
lbh = 550
However, when each dimension is tripled.
This means that,
new length = 3 * old length
new breadth = 3 * old breadth
new height = 3 * old height
<em>Let L, B and H represent the new length, new breadth and new height respectively</em>
In other words,
L = 3l
B = 3b
H = 3h
Calculating new volume
New volume = LBH
Substitute, 3l for L, 3b for B and 3h for H;
V = 3l * 3b * 3h
V = 3 * l * 3 * b * 3 * h
V = 3 * 3 * 3 * l*b*h
V = 27 * lbh
Recall that lbh = 550
So,
V = 27 * 550
V = 14,850
Hence, the new volume is 14,850cm³
24th is the answer, you just double the 12 because it’s both a number 3 and 4 go into
Answer:
The correct answer to the question is;
1 < x < <u>4</u>
Step-by-step explanation:
The give parameters are;
ΔABC is an isosceles triangle, with the vertex angle = 35° + 20° = 55°
Therefore, the two base angles are 62.5° each by definition of isosceles triangle
Given that the angle subtended by 4·x - 4 which is 25° is lesser than the angle subtended by the 12 unit side length which is 35° we have;
4·x - 4 < 12
4·x < 12 + 4
∴ 4·x < 16
x < 16/4
x < 4
Therefore, the range is 1 < x < 4
