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3 years ago

6

The length of a rectangle is 3.5 inches more tan its width. The perimeter of the rectangle is 31 inches. Find the length and the

width of the rectangle. Explain

1 answer:

leonid [27]3 years ago

8 0

Length (L): w + 3.5

width (w): w

Perimeter (P) = 2L + 2w

31 = 2(w + 3.5) + 2(w)

31 = 2w + 7 + 2w

31 = 4w + 7

24 = 4w

6 = w

Length (L): w + 3.5 = (6) + 3.5 = 9.5

Answer: width = 6 inches, length = 9.5 inches

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A train leaves the station at time t=0. Traveling at a constant speed, the train travels 480 kilometers in 4 hours. The function

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Answer:

<u>The function that relates the distance traveled d to the time t is:</u>

<u>f(t) = 120t, where d = f(t)</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

At a constant speed, the train travels 480 kilometers in 4 hours

2. The function that relates the distance traveled d to the time t is?

Let's write the relation as a linear equation and then we'll write it using function notation, as follows:

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Volume of the cone in ascending order.

$V_{2}=270\pi\ units^{3}$

cone with DIAMETER of 18 & height of 10

cone with RADIUS of 10 & height of 9

cone with RADIUS of 11 & height of 9

cone with DIAMETER of 20 & height of 12

Step-by-step explanation:

Let $V_{2}. V_{3}. and\ V_{4}.$ be the volume of the cone.

Let d, r and h be the diameter, radius and height of the cone.

Given:

$d_{1} = 20\ and\ h_{1}=12$

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The volume of the cone is given below.

$V=\pi r^{2} \frac{h}{3}$ ----------------(1)

where: r is radius of the base of cone.

and h is height of the cone.

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$r_{1} = \frac{d_{1}}{2}$

$r_{1} = \frac{20}{2}=10\ units$

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$r_{2} = \frac{d_{2}}{2}$

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