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Whitepunk [10]
2 years ago
14

In ^3/13, the 3 is called the:

Mathematics
1 answer:
JulijaS [17]2 years ago
7 0

Answer:

Index

Step-by-step explanation:

The 3 is the index, the √ is the radical sign and the 13 is the radicand.

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According to the Side Side Side postulate of congruent triangles, these triangles are congruent because each side is congruent to it’s corresponding side on the other triangle. When writing the congruence statement, you need to make sure that both triangles are read the same way so that one side corresponds to its congruent other side on the other triangle. One way to name these triangles would be HGK ≅ XWV
8 0
3 years ago
. If A = P + I, find l, when A= 4500 and P= 3750.
cestrela7 [59]

Answer:

Step-by-step explanation:

A = P + I

Putting values in the equation

4500 = 3750 + I

4500 / 3750 = I

1.2 = I

8 0
2 years ago
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67,396 divided by 123
ruslelena [56]
547.9 is the answer to this
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2 years ago
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An electric current, I, in amps, is given by I=cos(wt)+√8sin(wt), where w≠0 is a constant. What are the maximum and minimum valu
exis [7]
Take the derivative with respect to t
- w \sin(wt) + \sqrt{8} w cos(wt)
the maximum and minimum values occur when the tangent line is zero so we set the derivative to zero
0 = -w \sin(wt) + \sqrt{8} w cos(wt)
divide by w
0 =- \sin(wt) + \sqrt{8} cos(wt)
we add sin(wt) to both sides

\sin(wt)= \sqrt{8} cos(wt)
divide both sides by cos(wt)
\frac{sin(wt)}{cos(wt)}= \sqrt{8}   \\  \\ arctan(tan(wt))=arctan( \sqrt{8} ) \\  \\ wt=arctan(2 \sqrt{2)} OR\\ wt=arctan( { \frac{1}{ \sqrt{2} } )
(wt)=2(n*pi-arctan(2^0.5))
(wt)=2(n*pi+arctan(2^-0.5))
where n is an integer
the absolute max and min will be

I=cos(2n \pi -2arctan( \sqrt{2} ))
since 2npi is just the period of cos
cos(2arctan( \sqrt{2} ))= \frac{-1}{3} 

substituting our second soultion we get
I=cos(2n \pi +2arctan( \frac{1}{ \sqrt{2} } ))
since 2npi is the period
I=cos(2arctan( \frac{1}{ \sqrt{2}} ))= \frac{1}{3}
so the maximum value =\frac{1}{3}
minimum value =- \frac{1}{3}


4 0
3 years ago
1. A new company wants to mail out samples of its hair products. The company has a sample box that is a rectangular prism with a
Goryan [66]

Answer:

Volume of rectangular prism = 175 / 6 inch³

Step-by-step explanation:

Given:

Base area of rectangular prism = 23 ¹/₃ inch² =  70 / 3 inch²

Height of rectangular prism = 1 ¹/₄ inch = 5 / 4 inch

Find:

Volume of rectangular prism

Computation:

Volume of rectangular prism = Base area of rectangular prism x Height of rectangular prism

Volume of rectangular prism = [70 / 3] x [5 / 4]

Volume of rectangular prism = [350 / 12]

Volume of rectangular prism = 175 / 6 inch³

4 0
2 years ago
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