Answer:
Step-by-step explanation:
The lateral surface area excludes the area of top and bottom faces.
Given is the right pentagonal prism with side length of 7 in and height of 12 in.
<u>The lateral area is:</u>
- L = Ph = 5*7*12 = 420 in²
Correct choice is A
X + (x − 2) + (x − 4) = ? ; In which
<span>
x + x </span>− 2 + x − 4 ;
Combine the "like terms" ;
x + x + x = 3x ;
− 2 − 4 = −6 ;
So we have: "3x − 6" as the sum. ;
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The sum of three consecutive odd integers, in which "x" is the greatest integer; is: "3x − 6" .
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Note: The three consecutive odd integers, from least to greatest, are:
"(x − 4)" , "(x − 2)" , and "x" .
The sum is: "(3x − 6)<span>" .
</span>_____________________________________________
Note: "(3x − 6)" factors into: " 3(x −2)" .
Note that: " (x − 2) " is the second integer.
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So the sum total, which is: "(3x − 6)" ; is 3 (three) times the value of the second integer; that is, "3 (x − 2)" .
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The option third ∠R ≅ ∠V is correct because line segment RS and UV are parallel which is crossed by a transversal RV.
<h3>What is the similarity law for triangles?</h3>
It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have given two triangles:
Triangle RST and Triangle VUT
AS we can see Line segment RS and UV are parallel.
Which is crossed by a transversal RV.
The angle SRV = Angle RVU
Thus, the option third ∠R ≅ ∠V is correct because line segment RS and UV are parallel which is crossed by a transversal RV.
Learn more about the similarity of triangles here:
brainly.com/question/8045819
#SPJ1
Answer:
Step-by-step explanation:
The formula of a volume of a sphere:
We have
Substitute:
<em>divide both sides by π</em>
<em>multiply both sides by 3</em>
<em>divide both sides by 4</em>
![R^3=\dfrac{1}{2}:4\\\\R^3=\dfrac{1}{2}\cdot\dfrac{1}{4}\\\\R^3=\dfrac{1}{8}\to R=\sqrt[3]{\dfrac{1}{8}}\\\\R=\dfrac{\sqrt1}{\sqrt8}\\\\R=\dfrac{1}{2}](https://tex.z-dn.net/?f=R%5E3%3D%5Cdfrac%7B1%7D%7B2%7D%3A4%5C%5C%5C%5CR%5E3%3D%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%5Cdfrac%7B1%7D%7B4%7D%5C%5C%5C%5CR%5E3%3D%5Cdfrac%7B1%7D%7B8%7D%5Cto%20R%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B1%7D%7B8%7D%7D%5C%5C%5C%5CR%3D%5Cdfrac%7B%5Csqrt1%7D%7B%5Csqrt8%7D%5C%5C%5C%5CR%3D%5Cdfrac%7B1%7D%7B2%7D)
Answer:
C.) I believe
Step-by-step explanation:
