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Alex73 [517]
3 years ago
8

A rectangle is twice as long as it is wide. The area of the rectangle is 50 ft. What is the length of the rectangle

Mathematics
1 answer:
UNO [17]3 years ago
4 0

Answer:

length=10 ft

width=5 ft

Step-by-step explanation:

10×5=50

10÷2=5

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A car traveled 140 miles in 2 hours. at this rate, how many miles will the car travel in 5 1/2 hours?

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The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm^2/
VARVARA [1.3K]

Answer:

The base is decreasing at 2 cm/min.

Step-by-step explanation:

The area (A) of a triangle is given by:

A = \frac{1}{2}bh   (1)

Where:

b: is the base

h: is the altitude = 10 cm

If we take the derivative of equation (1) as a function of time we have:

\frac{dA}{dt} = \frac{1}{2}(\frac{db}{dt}h + \frac{dh}{dt}b)

We can find the base by solving equation (1) for b:

b = \frac{2A}{h} = \frac{2*120 cm^{2}}{10 cm} = 24 cm

Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:

2 cm^{2}/min = \frac{1}{2}(\frac{db}{dt}*10 cm + 1 cm/min*24 cm)

\frac{db}{dt} = \frac{2*2 cm^{2}/min - 1 cm/min*24 cm}{10 cm} = -2 cm/min    

         

Therefore, the base is decreasing at 2 cm/min.

               

I hope it helps you!  

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2 years ago
Write the quadratic function f(x) = 3x2 - 6x + 9 in vertex form
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4 0
3 years ago
A small box of cereal contains 10 cups of cereal. A medium box of the same cereal contains 30% more cereal than the small box. H
mario62 [17]

Answer:

13 cups

Step-by-step explanation:

If the small box has 10 cups, then:

<u> (small) </u>     <u> 10 cups </u>   =  <u> 100% </u>

(medium)    x cups     =   130%

Now, cross multiply:

10 (130) = x (100)

1300 = 100x

x = 13

Another way to solve this is by turning 30% into a decimal:

30/100 = 0.3

10 (0.3) = 3

Now you have 30% of the 10 cups, but you need <u>30% more</u><em> </em>than the small box, so:

10 + 3 = 13 cups

6 0
3 years ago
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