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3 years ago

perimetrul unui paralelogram este de 30 cm.una dintre laturi are lungimea de 6 metri . dterminati lungimile celolrarte laturi

Mathematics

1 answer:

zzz [600]3 years ago

8 0

To solve this problem you must apply the proccedure shown below:

1. By definition, the opposite sides of a parallelogram are parallel and have equal length.

2. The figure attached shows that the opposite sides with equal length are:

$a=c\\b=d$

3. Keeping this on mind, you have that the side c and a are equal and measure six centimeters.

4. To find the length of the other sides, you must apply the following formula for calculate the perimeter of a parallelogram:

$P=2(a+b)$

4. If you solve for b, you will obtain the measure of b and d:

$30cm=2(6cm+b)\\30cm=12cm+2b\\b=9cm$

Therefore the answer is:

The lengths of the sides are: 6 cm, 6 cm, 9 cm and 9 cm.

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Your job is to paint lines in a long, straight parking lot. You determine the dividing lines need to be parallel. The length of

kozerog [31]

Answer:

a. 9 ft

b. 90 ° right angled

c. Right angle

d. 90°

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Step-by-step explanation:

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a. The separation distance of the dividing lines in a parking lot need to be far apart enough as to accommodate a vehicle with room to open the doors, therefore, it should be between 8.5 to 10 ft wide which gives a mean parking space width of approximately 9 ft

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4 years ago

The number of hours of daylight measured in one year in Ellenville can be modeled by a sinusoidal function. During 2006, (not a

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Answer:

$f ( t ) = 3.7*sin ( 0.01736*t ) + 12$

Step-by-step explanation:

Solution:-

- We are to model a sinusoidal function for the number of hours of daylight measured in one year in Ellenville.

- We will express a general form of a sinusoidal function [ f ( t ) ] as follows:

$f ( t ) = A*sin ( w*t ) + c$

Where,

A: The amplitude of the hours of daylight

w: The angular frequency of occurring event

c: The mean hours of daylight

t: The time taken from reference ( days )

- We are given that the longest day [ $f ( t_m_a_x )$ ] occurred on June 21st and the shortest day [ $f ( t_m_i_n )$ ] on December 21st.

- The mean hours of daylight ( c ) is the average of the maximum and minimum hours of daylight as follows:

$c = \frac{f(t_m_a_x ) +f(t_m_i_n ) }{2} \\\\c = \frac{15.7 + 8.3}{2} = \frac{24}{2} \\\\c = 12$

- The amplitude ( A ) of the sinusoidal function is given by the difference of either maximum or minimum value of the function from the mean value ( c ):

$A = f ( t_m_a_x ) - c\\\\A = 15.7 - 12\\\\A = 3.7$

- The frequency of occurrence ( w ) is defined by the periodicity of the function. In other words how frequently does two maximum hours of daylight occur or how frequently does two minimum hours of daylight occur.

- The time period ( T ) is the time taken between two successive maximum duration of daylight hours. We were given the longest day occurred on June 21st and the shortest day occurred on December 21st. The number of days between the longest and shortest day will correspond to half of the time period ( 0.5*T ):

$0.5*T = 7 + 31 + 31 + 30 +31 +30 +21\\\\T = 2* [ 181 ] \\\\T = 362 days$