Which describes the relationship between

Mathematics

1 answer:

Nataly_w [17]3 years ago

8 0

They are corresponding angles because they both add up to equal 90 degrees

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What is the value of the cosecant of

Serjik [45]

Answer:

Step-by-step explanation:

csc=h/opp side

csc=(85)/36

this can simplify to 2.36111111111 or 2(13/36)

I hope this helps!

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3 years ago

Inverse laplace of L^-1 {5s/s^2 + 3s - 4}

kap26 [50]

Answer:

$e^{t}+4e^{-4t}$ .

Step-by-step explanation:

To find the Laplace inverse of the above problem, we have to first solve the problem as a partial fraction, hence:

$\frac{5s}{s^2+3s-4}=\frac{5s}{s^2+4s-s-4} \\\\=\frac{5s}{s(s+4)-1(s+4)}\\\\=\frac{5s}{(s-1)(s+4)}=\frac{A}{s-1}+\frac{B}{s+4}\\\\= \frac{A(s+4)+B(s-1)}{(s-1)(s+4)}\\\\Hence:\\\\\frac{A(s+4)+B(s-1)}{(s-1)(s+4)}=\frac{5s}{(s-1)(s+4)}\\\\A(s+4)+B(s-1)=5s\\\\to\ find \ A,put\ s=1:\\\\A(1+4)+B(1-1)=5(1)\\\\5A=5\\\\A=1\\\\to\ find \ B,put\ s=-4:\\\\A(-4+4)+B(-4-1)=5(-4)\\\\-5B=-20\\\\B=4\\\\Hence:\\\\\frac{5s}{s^2+3s-4}=\frac{1}{s-1}+ \frac{4}{s+4}\\\\$

$L^{-1} [\frac{5s}{s^2+3s-4}]=L^{-1}[\frac{1}{s-1} ]+L^{-1}[\frac{4}{s+4} ]\\\\But\ L^{-1}[\frac{1}{s-a} ]=e^{at}\\\\Hence:\\\\L^{-1} [\frac{5s}{s^2+3s-4}]=L^{-1}[\frac{1}{s-1} ]+L^{-1}[\frac{4}{s+4} ]=e^{t}+4e^{-4t}\\\\=e^{t}+4e^{-4t}$

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3 years ago

Which graph represents a relation that is also a function?<br> ( look at the graph and help me pls )

Triss [41]

D

explaining-
The lines don’t go through eachother on D

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3 years ago

Caleb and Sergio stacked boxes on a shelf. Caleb lifted 14 boxes and Sergio lifted 12 boxes. The boxes that Sergio lifted each w

Ierofanga [76]

If the weight of the boxes that Caleb lifted is equal to c, then each box that Sergio lifted weighed c + 10. The total number of pounds that Sergio lifted is equal to the product of the number of the boxes and the weight. That is,
12(c + 10)
Thus, the answer is letter C.

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Mr. Jackson took his new car on a family vacation.The car. 1,454.625 miles and used 4.5 tanks of gas. How many miles does he get

aleksklad [387]

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He gets 323.25 miles on a single tank of gas.

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