675 : 5 = 135
135 : 5 = 27
27 : 3 = 9
9 : 3 = 3
3 : 3 = 1
675 = 5 · 5 · 3 · 3 · 3 = 5² · 3³
For the answer to the question above, <span>what is the combined length of
the original line segment and its dilated image?
</span>RS = 10
image R'S' = 20
---> 10+20=30
I hope my answer helped you. Feel free to ask more questions. have a nice day!
Answer:
20/3
Step-by-step explanation:
If Ryan rides his bike 5 miles in 3/4 of an hour, then he rides 5/3 miles in 1/4 of a hour (divide both by 3). To get to a full hour from 1/4, you need to multiply it by 4. You must do the same for 5/3. 5/3*4 is equal to 20/3.
4.83 x 10^-3 can be re-written in standard form by moving the decimal point 3 units to the left: 0.00483.
Note: If you want to be mathematically correct, please write 10^(-3), not 10^-3. If the exponent is +, you don't need the parentheses.
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
