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Eddi Din [679]
3 years ago
13

A circle has the equation 2x2+12x+2y2−16y−150=0.

Mathematics
1 answer:
iris [78.8K]3 years ago
4 0
Using the formula, write in standard form (x+3)^2+(y-4)^2=100
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A ladder leans against the side of a house. The angle of elevation of the ladder is 62 degrees and the top of the ladder is 14 f
marysya [2.9K]

Answer:

7.4 feets

Step-by-step explanation:

Distance from bottom of ladder to side of the house = d

θ = 62 ; height, h = 14

Using trigonometry :

Tan θ = opposite / Adjacent

Opposite = height ; adjacent = d

Tan 62° = 14 / d

1.8807264 * h = 14

d = 14 / 1.8807264

d = 7.44

5 0
2 years ago
PLEASE help a girl out! :)What is the actual area of the room?
andrey2020 [161]

Answer:

=75ft^{2}

Step-by-step explanation:

Area is found by mulitplying width and height.

A=7.5(5)\\

A=37.5\\in

The ratio is 0.5in : 1ft, so if you multiply that ratio to the answer, you should get the answer in feet.

37.5in x \frac{1ft}{0.5in} =75ft^{2}

7 0
2 years ago
The actual length (L) of a rectangle is 27 centimeters. Use the scale drawing of the rectangle to find the actual width (W).
Dominik [7]
The ratio of the length to the width is \rm \dfrac{L}{W}.
The ratio of the sides will be the same for the scale and actual figures.

\rm \dfrac{2.4}{3.6}=\dfrac{27}{W}

I took the L/W of the scale figure
and set it equal to the L/W of the actual figure.

Now we can solve for the unknown width.
Cross-multiplication gives us this,

\rm 2.4W=3.6\cdot27

Divide by 2.4 and simplify,

\rm W=40.5

Hope that helps! :)
7 0
3 years ago
Read 2 more answers
Wangari plants trees at a constant rate of 1212 trees every 33 hours. Write an equation that relates pp, the number of trees Wan
igor_vitrenko [27]

Answer:

p=4h    

Step-by-step explanation:

Let p be the number of trees Wangari plants, and h  be the time she spends planting them in hours.

We have been given that Wangari plants trees at a constant rate of 12 trees every 3 hours.    

Let us find number of trees planted in 1 hour by dividing 12 by 3.

\text{Number of trees planted in 1 hour}=\frac{12\text{ plants}}{3\text{ hour}}

\text{Number of trees planted in 1 hour}=4\frac{\text{ plants}}{\text{ hour}}

We can represent this information as: p=4h

Therefore, the equation p=4h relates the number of trees (p) Wangari plants, and the time (h) she spends planting them in hours.

3 0
3 years ago
Read 2 more answers
If log65 = 1.812 what is the value of log(base 1000)65 ? 0.0604 0.604 0.1812 0.001812
ioda
If we have:

logₐy = (logₓy) / (logₓa)       By change of base formula.

log₁₀65 = (log₁₀₀₀65) / (log₁₀₀₀10)

(log₁₀₀₀65)  = log₁₀65 * (log₁₀₀₀10)

log(₁₀₀₀10) =  1/ (log₁₀1000) = 1/(log₁₀10³) = 1/3

(log₁₀₀₀65)  = (log₁₀65) * (log₁₀₀₀10)

(log₁₀₀₀65)  = 1.812 * (1/3)       

(log₁₀₀₀65)  = 0.604

I hope this helps.
8 0
3 years ago
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