Find the value of x. [ (2x-5) (x+4) = 3x + 30]
1 answer:
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<u><em>Note: It seems you may have unintentionally missed to add the complete question statement, but I will make sure to make you understand the concept of angle congruence anyways using which you may be able to clear all your queries regarding the concept.</em></u>
Answer:
When we say the angles Y and B are Congruent. It means these congruent angles have the same angle measured in degrees. (or in radians as both are units of measure for angles).
The figure a is also attached below to visualize the concept.
Step-by-step explanation:
When we say the angles Y and B are Congruent. It means these congruent angles have the same angle measured in degrees. (or in radians as both are units of measure for angles).
Here are some additional things to observe:
- Angles are congruent as long as the angles are the same
- they don't have to point in the same direction
- they don't have to be made with lines of the same length.
For instance, below is the example. Where,
- Angle Y is 42°
- Angle B is 42°
As the measure of these angles is same. It means the angles Y and B are Congruent. The figure a is also attached below to visualize the concept.
Keywords: congruent angles
Learn more about congruent angles from brainly.com/question/1700207
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The dimensions of the can are 1.457 inches and 2.913 inches that will give the most volume
Step-by-step explanation:
Let us revise the rule of surface area and volume of a cylinder
- S.A = 2π r h + 2π r²
- V = π r² h
Forty square inches of material is available to make a cylindrical; can of tuna and water, we need to find the dimensions of the can that will give the most volume
∵ S.A = 40 inches²
∵ S.A = 2π r h + 2π r²
∴ 2π r h + 2π r² = 40
Let us use this rule to find h in terms of r
- Subtract 2π r² from both sides
∵ 2π r h = 40 - 2 π r²
- Divide both sides by 2π r
∴
∴
∴
∵ V = π r² h
- Substitute h by its value above
∴
∴ V = 20 r - π r³
To find the most volume differentiate it with respect to r and equate it by 0 to find the value of r
∵ = 20 - 3π r²
∵ = 0
∴ 20 - 3π r² = 0
- Add 3π r² to both sides
∴ 20 = 3π r²
- Divide both sides by 3π
∴ r² = 2.122
- Take √ for both sides
∴ r = 1.457 inches
To find h substitute the value of r in the expression of h
∵
∴
∴ h = 2.913 inches
The dimensions of the can are 1.457 inches and 2.913 inches that will give the most volume
Learn more:
You can learn more about volume of solids in brainly.com/question/6443737
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