Answer:
The answer is - 113 that is the correct answer skipping in three's and the first one is - 97
-5t2 + 40t = 0
5t(-t+ 8) = 0
5t = 0 or t = 8
To find the volume of the box you will use the volume of the sphere formula to find the radius of the circular region of the sphere. You wil then double the radius to find the diameter.
V = 4/3 x pi x r^3
972 x pi= 4/3 x pi x r^3
729 = r^3
The cubic root of 729 is 9 because 9 x 9 x 9 = 729.
The radius is 9 inches, and the diameter is 18 inches.
The volume of the box is 18 in x 18 in x 18 in or 5832 in.³.
From the given figure ,
RECA is a quadrilateral
RC divides it into two parts
From the triangles , ∆REC and ∆RAC
RE = RA (Given)
angle CRE = angle CRA (Given)
RC = RC (Common side)
Therefore, ∆REC is Congruent to ∆RAC
∆REC =~ ∆RAC by SAS Property
⇛CE = CA (Congruent parts in a congruent triangles)
Hence , Proved
<em>Additional</em><em> comment</em><em>:</em><em>-</em>
SAS property:-
"The two sides and included angle of one triangle are equal to the two sides and included angle then the two triangles are Congruent and this property is called SAS Property (Side -Angle-Side)
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Consider the proof. Given: Segment AB is parallel to line DE. Prove: AD/DC = BE/EC What is the missing statement in Step 5? A.) AC = BC B.) AC/DC = BC/EC C.) AD...
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Answer:
1 + 12
Step-by-step explanation:
Let's do this one step by step!
We are going to make sure that we pay attention to the part in the parenthesis first!
Let's multiply -2x with -6 first.
Equation:
4+(-3)-2x(-6)
We do not need to parenthesis around the -3 because a negative cancels out a positive. So, no matter what you would have to subtract.
4 - 3 + 12x
And we get a positive 12 because both numbers that were being multiplied were negative.
Now let's combine common terms.
1 + 12x
This is your answer! I hope this helped!