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gayaneshka [121]
3 years ago
10

A wooden plank of length x is cut into 8 sections such that each section is at most 5/2 meters long. What is the length of the e

ntire plank in meters?
Mathematics
2 answers:
kogti [31]3 years ago
6 0
5/2 * 8 = 40/2 = 20 meters
velikii [3]3 years ago
6 0

Answer:

the length of the entire plank is less or equal to 20 meters

Step-by-step explanation:

when the wooden plank is divided into 8 sections, the length of each section is 5/2 meters or less. Since we don't know exactly what is the length of every part, we just can calculate the maximum value of the wooden plank.

The maximum length of the entire plank is given by the next equation:

X maximum= (# sections)*(length maximum of every section)

X maximum= 8 * 5/2 meters

X maximum = 20 meters

This result says that X is less or equal to 20 meters.

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3 years ago
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A sound wave is given the following equation:
marshall27 [118]

Answer:

384

Step-by-step explanation:

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y = A sin(2πf x + B) + C

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In this case:

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5 0
4 years ago
line j is perpendicular to lines m and n. if the products of the slope of all three lines is -8, what is the slope of line j?
jeka94

Answer:

the slope of line j is -1/8, the slope of lines m and n are both 8.

Explanation step by step:

Suppose j is the slope of line j, m the slope of line m and n the slope of line n. Since:

1. line j is perpendicular of line m, so j*m= -1

2. J is perpendicular of line n, so  j*n=-1

3. m and n and parallel so m=n

As we want to know the slope of j we clear the equations presented to us in order to find it.

(1) m* n* j = -8, since n=m we have  n^{2}* j = -8.

we clear j; n^{2} * j = -8 \\ j =\frac{-8}{n^{2} }

replacing in the equation n*j = -1 we get

n*(-8/n^2) = -1. Thus n = 8. Since j = -1/n = -1/8.

7 0
3 years ago
A half-filled cylindrical water tank has a water level of 20 feet high. The tank can hold 6000 cubic feet of water. Find the dia
Alecsey [184]

Answer:

D=13.8\ ft

Step-by-step explanation:

we know that

If the tank half-filled with water is at 20 feet, then the height of the tank is 40 feet

The volume of the cylindrical tank is equal to

V=\pi r^{2}h

we have

h=40\ ft

V=6,000\ ft^{3}

assume

\pi =3.14

substitute and solve for r

6,000=(3.14)r^{2}(40)

r^{2}=6,000/[(3.14)(40)]

r=6.9\ ft

Find the diameter

Remember that the diameter is two times the radius

D=6.9*2=13.8\ ft

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4 years ago
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