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2 years ago

11

The amount spent on heating depends on the average temperature

2 answers:

anastassius [24]2 years ago

7 0

That's D.

A(t) is the amount as a function of the temperature t.

worty [1.4K]2 years ago

3 0

$\bf \stackrel{\textit{the amount spent on }\stackrel{H(t)}{heating}\textit{ depends on the average }\stackrel{t}{temperature}}{H(t)}$

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Your job pays $8 an hour. Write a variable expression for your pay in dollars for working h hours

puteri [66]

Lets say p is for pay. An expression for you would be p=8h because you would get 8 dollars per hour that you work. Then you would replace h with however many hours you worked. Ex: p=8h. You worked 12 hours, so 8 x 12 would equal 96, so you would get 96 dollars as your total pay, or p.

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2 years ago

Find the value of x in a triangle with one side 11 and 1 angle being 28

Andre45 [30]

Answer:

C: 12.5

Step-by-step explanation:

The sides x and 11 could be defined as the Adjacent angle and the Hypotenuse. This means that we will use the cos function to solve this.

First we can set up our equation

$cos28=\frac{11}{x}$

Next we can solve for x by multiplying by x and dividing by $cos 28$

$x=\frac{11}{cos28}\\\\x=12.458\\\\x=12.5$

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3 years ago

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Prove Euler's identity using Euler's formula.<br> e^ix = cos x + i sin x

Korolek [52]

First list all the terms out.

e^ix = 1 + ix/1! + (ix)^2/2! + (ix)^3/3! ...

Then, we can expand them.

e^ix = 1 + ix/1! + i^2x^2/2! + i^3x^3/3!...

Then, we can use the rules of raising i to a power.

e^ix = 1 + ix - x^2/2! - ix^3/3!...

Then, we can sort all the real and imaginary terms.

e^ix = (1 - x^2/2!...) + i(x - x^3/3!...)

We can simplify this.

e^ix = cos x + i sin x

This is Euler's Formula.

What happens if we put in pi?

x = pi

e^i*pi = cos(pi) + i sin(pi)

cos(pi) = -1

i sin(pi) = 0

e^i*pi = -1 OR e^i*pi + 1 = 0

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2 years ago

What is the perimeter of triangle ABC ?

blagie [28]

Answer:

$9+\sqrt{41}$

Step-by-step explanation:

From C-A, it goes from y=1 to y=5, so that 4 units

From A-B, it goes from x = -1 to x = 4, that is 5 units

Now, to find distance from B to C, we need to use the distance formula:

$D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

Where the variables are the respective points of B and C,

B (4,5) & C(-1,1)

So x_1 =4, y_1=5, x_2=-1, y_2=1

Plugging into the formula we get:

$D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\D=\sqrt{(1-5)^2+(-1-4)^2}\\D=\sqrt{16+25}\\ D=\sqrt{41}$

Summing it all (perimeter is sum of 3 sides):

Distance = $4+5+\sqrt{41}\\ =9+\sqrt{41}$

3rd answer choice is right.

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2 years ago

HELLO HELP ASAP ATTACHING PIC BELOW ITS KHAN

11Alexandr11 [23.1K]

Answer:

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Step-by-step explanation:

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2 years ago

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