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3 years ago

I’m really hoping I do fail this assignment so can someone please help?

Mathematics

2 answers:

Mazyrski [523]3 years ago

7 0

The answer would be 99 degrees!
here is an explanation to help you understand:
the angles 81 degrees and b are supplementary angles. Supplementary angles mean that two angles have the sum of 180 degrees so you would need to find the x when you have a given already.
do an equation like this:
x + 81 = 180
here is how to answer the equation:
x + 81 - 81 = 180 - 81
x = 99

Here you only need to subtract 81 from both sides. in simple terms, do 180 minus the measure given.

i hope this helps!! i am doing this lesson right now so i know and if u need more help tell me in comments or message :)

kykrilka [37]3 years ago

6 0

180 - 81 = 99

the answer is 99!

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

Salsk061 [2.6K]

Answer:

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

Step-by-step explanation:

We have to simplify the original function using partial fraction, hence:

$\frac{5s}{s^2+3s-4} =\frac{5s}{(s-1)(s+4)}\\\\=\frac{A}{s-1}+\frac{B}{s+4}\\\\Therefore:\\\\\frac{A(s+4)+B(s-1)}{(s-1)(s+4)}=\frac{5s}{(s-1)(s+4)}\\\\Eliminating\ the \ denominator:\\\\A(s+4)+B(s-1)=5s\\\\substitute\ s=1:\\\\A(1+4)+B(1-1)=5(1)\\\\5A=5\\\\A=1\\\\tsubstitute\ s=-4:\\\\A(-4+4)+B(-4-1)=5(-4)\\\\-5B=-20\\\\B=4\\\\Therefore\ substituting\ A\ and\ B\ gives:\\\\\frac{5s}{s^2+3s-4}=\frac{1}{s-1}+ \frac{4}{s+4}\\\\$

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

5 0

3 years ago

Perpendicular to the line 2x-5y=-11; passes through (7,5)

Westkost [7]

Answer:

$y=-\frac{5}{2}x+\frac{45}{2}$

Step-by-step explanation:

The slope intercept form of a line is given as:

y = mx + c

Where m is the slope and c is the y-intercept

Let's rearrange the equation given in this form:

2x - 5y = -11

5y = 2x + 11

y = 2/5 x + 11/5

So the slope is 2/5

Slope of line that is perpendicular to this is the "negative reciprocal" of this slope. Which means the slope of perpendicular line would be -5/2

Thus, equation would become: y = -5/2x + c

Now we need to find c. For this we plug in 7 into x and 5 into y and solve for c [(7,5) is the point given]. Thus,

$y=-\frac{5}{2}x+c\\5=-\frac{5}{2}(7)+c\\5=-\frac{35}{2}+c\\c=5+\frac{35}{2}\\c=\frac{45}{2}$

Thus, the equation of perpendicular line is:

$y=-\frac{5}{2}x+\frac{45}{2}$

8 0

4 years ago

5 donuts and 2 cups of hot Chocolate costs 24$. 2 donuts and 3 cups of hot chocolate costs 14$.How much does each donut and each

Allushta [10]

Answer:cost of each donut =$4

and cost of each cup of hot chocolate =$2

Step-by-step explanation:

Step 1

Let donuts be represented as d

and cups of hot chocolate be rep as c so that

5 donuts and 2 cups of hot Chocolate costing 24$ will be expressed as

5 d+ 2 c= 24

And 2 donuts and 3 cups of hot chocolate costing 14$ will be expressed as

2d +3 c= 14

Step 2

Using elimination method,Multiply equation 1 by 3 and equation 2 by 2

15d+ 6c= 72----equation 3

4d+ 6c= 28-----equation 4

Subtracting equation 4 from equation 3 gives us

11 d=44

d= 44/11

d= 4

To find c, using equation 1

5 d+ 2 c= 24

5 x 4+ 2c=24

20+2c=24

2c=24-20

2c=4

c=4/2 =2

cost of each donut =$4

and cost of each cup of hot chocolate =$2

3 0

4 years ago

A 5kg bag of peas cost $17.91 at the same rate what would a 9kg bag of peas cost

iren2701 [21]

Answer:

17.91÷5=3.582

then

3.582×9=32.238

or 32.2 or just 32

Step-by-step explanation:

when you see something like this all you have to do is divide the two number then with that number just multiply.

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3 years ago

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kiruha [24]

Answer: B

Step-by-step explanation:

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3 years ago

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