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3 years ago

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A room has a cathedral ceiling. If the walls in the room are 10 feet high and the ceiling is 18 feet high in the center of the r

oom that is 35 feet wide, find the slope of the left side of the ceiling. Express your answer as a decimal rounded to two places.

1 answer:

9966 [12]3 years ago

4 0

Check the picture below

notice, the run is half 35

recall slope = rise/run

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Lily goes car shopping and finds two cars. The first one burns fossil fuel, gasoline, that sells for $18,000. It will cost $100

Anna007 [38]

Answer:

Cost to buy and run the first car for 5 years=$24000

Cost to buy and run the second car for 5 years=$26000

I think we should buy the first car, because It is cheaper to buy and maintain

Step-by-step explanation:

first car:

Cost $18000 to buy

Cost $100 to maintain each month

5years =5 x 12=60months

Cost to maintain for 60months=100x60=$6000

First car cost to buy and run over the 5 year period=18000+6000=$24000

Second car:

It cost $22400 to buy

Cost $60 to maintain each month

5years=60months

Cost to maintain for 60months is 60 x 60=$3600

Cost to buy and run over the second car for 5years is 22400+3600=$26000

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4 years ago

Use Euler’s method with two steps to estimate y(1) if y(x) is the solution to dy dx = x + y, y(0) = 1. Write your answer in the

tresset_1 [31]

Answer:

1.5

Step-by-step explanation:

The Euler's method is a common approximation method for the solution of differential equations. It can be used to obtain an approximate value of a given function. The Euler's formula is:

$y_{n} = y_{n-1} + hF(_{x_{n-1},y_{n-1}})$

Therefore, n =1 will give:

$y_{1} = y_{0} + hF(x_{0},y_{0})$

h is the step size and it is equivalent to $\frac{x_{1}-x_{2}}{2} = \frac{1-0}{2}=\frac{1}{2}$

$F(x_{0},y_{0}) = x_{0} + y_{0} = 0 + 1 = 1$

$y_{1} = 1 + (0.5)(0+1) = 1 + (0.5)(1) = 1 + 0.5 = 1.5$

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3 years ago

Mark simplified 3/5 divided by 5/8; his work is shown below. Identist where he made his error.

dolphi86 [110]

Answer:

Mark forgot to multiply 5 · 5, so he ended up with 5 in the denominator instead of 5 · 5 = 25

Step-by-step explanation:

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3 years ago

Which of the solution sets is all real numbers? |x| < -1 |x| = -1 |x| > -1?

charle [14.2K]

|x| > -1 represents all real numbers.

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3 years ago

Read 2 more answers

If f(x) = 2x − x² + 3, find f(x − 4).

belka [17]

Answer:

−x^2+10x−21

Step-by-step explanation:

Hope this helped you! If this is wrong, please tell me and have a good day!

7 0

2 years ago