Answer:
surface area ratio = 49/1 = 49
Step-by-step explanation:
Two solid figure are similar when they have the same shape and the ratio of their corresponding sides are proportional.
Therefore the ratio of their surface area is the side ratio squared.
For a similar shape the ratio of their surface area is the squared of the scaled factor.
The ratio can be represented as a/b, therefore the surface area ratio can then be represented as (a/b)². Therefore,
7:1 or 7/1
The surface area ratio = (7/1)²
surface area ratio = 49/1 = 49
M= -2 because you divide both side by 7 to get m+5=3 then subtract 5 from both sides to get m=-2
1. <span>Divide the numerator by the denominator.
2. Write down the whole number answer.
<span>3. Then write down any remainder above the denominator.</span></span>
So you need to find the volume for the rectangular prism (1) and the rectangular prism in the center of it (2)
The formula for a rectangular prism is:
V = lwh [Volume = length x width x height]
1.
l = 15
w = 6
h = 6
V = lwh Plug in the numbers
V = (15)(6)(6) = 540
2.
l = 15
w = 4
h = 4
V = lwh
V = (15)(4)(4) = 240
Next you subtract the volumes by each other because the rectangular prism in the center(2) is the hole/empty part of the rectangular prism(1)
V = V(1) - V(2)
V = 540 - 240
V = 300
9514 1404 393
Answer:
4² = 16
Step-by-step explanation:
The applicable rule of exponents is ...
1/a^-b = a^b
So, ...
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<em>Additional comment</em>
If you were to evaluate this using the Order of Operations, you would evaluate the exponent first:
1/4^-2 = 1/(1/16)
Then, you would do the division.
1/(1/16) = 16
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We sometimes find it convenient to manipulate exponential terms to the form with the smallest positive exponents before we begin the evaluation.
