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katrin [286]
3 years ago
7

A candle starts at 18 inches tall and burns 2 inches per hour. Write and solve and equation to find the number of hours (h) it w

as burning if it is currently 1 inch tall
Mathematics
1 answer:
Sergio039 [100]3 years ago
7 0

Answer:

You can put this solution on YOUR website!

y = -2x + 8

y is the height of the candle in inches.

x is the amount of time it burns in hours.

in 4 hours the candle should burn down to nothing.

domain of the function is x = 0 to 4.

range of the function is y = f(x) = 0 to 8

Step-by-step explanation:

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Find x on this special right triangle
tigry1 [53]

Answer:

The answer is 7

Step-by-step explanation:

We know than Tan45=1

Tanx=opp/adj

tan45=y/(7\sqrt{2})/2

Thus y=7\sqrt{2}/2

We know by pythagoras theorem that hyp^2=side^2+side^2

x^{2}=((7\sqrt{2} /2)^{2}+(7\sqrt{2}/2)^{2}

x^{2}=(49(2)/4)+(49(2)/4)

x^{2}=(49/2)+(49/2)

x^{2}=(98/2)

x^{2}=49

x=7

6 0
3 years ago
50% to 36.75 what is the original price
svetoff [14.1K]

Answer: 73.50

Step-by-step explanation:

I am assuming that the new price is 36.75

50% is 1/2

36.75·2=original price

original price=73.50

8 0
3 years ago
What is the equation of the line in standard form?
Paha777 [63]
I Would Say A Is The Correct One
8 0
4 years ago
Read 2 more answers
To the nearest degree, what i’d the measure of angle Z?<br> A. 30<br> B. 32<br> C. 47<br> D. 49
miskamm [114]

Answer:

C

Step-by-step explanation:

Using the cosine rule

cosZ = \frac{7^2+8^2-6^2}{2(7)(8)} = \frac{49+64-36}{112} = \frac{77}{112} , thus

Z = cos^{-1} (\frac{77}{112} ) ≈ 47° ( to the nearest degree ) → C

         

8 0
3 years ago
What’s the equation of a line that passes through (-9,10) and y=3/2x - 3/2
Natalija [7]

Answer:

y = 3x/2 + 23 1/2

Or

y = 3x/2 + 47/2

Step-by-step explanation:

Find the slope

y = 3/2x - 3/2

Equation of a line

y = mx + c

m = 3/2

using a point slope form equation

Substitute the point into the equation

( -9 , 10)

y - y1 = m( x - x1)

x1 = -9

y1 = 10

y - 10 = 3/2( x - (-9)

y - 10 = 3/2( x + 9)

Open the bracket

y - 10 = (3x + 27)/2

y = ( 3x + 27)/2 + 10

LCM = 2

y = ( 3x + 27 + 20)/2

y = ( 3x + 47)/2

Separate to get the value of slope and intercept

y = 3x/2 + 47/2

y = 3x/2 + 23 1/2

The equation of the line is

y = 3x/2 + 23 1/2

3 0
3 years ago
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