Let the width = w.
The length is 6 times the width, so the length is 6w.
The perimeter is 70.
P = 2L + 2W
70 = 2(6w) + 2(w)
70 = 12w + 4w
70 = 14w
5 = w
The width is 5.
The length is 6 times the width, so the length is 6 * 5 = 30
Area of rectangle = LW
A = 5 * 30 = 150
Step-by-step explanation:
Let vertical height of ladder from ground be y and
horizontal distance of the base of the ladder from the wall be x respectively.
Length of the ladder = l (constant) = 10 ft
<u>Using Pythagoras theorem</u>:
Differentiate both sides w.r.t time
<u>We know that</u> (After 1 sec, y = 6 ft and x = 8 ft ; dy/dt = 2 ft/sec)
<u>( Ignore - ive sign)</u>
Therefore, bottom of the ladder is sliding away from the wall at a speed of 1.5 ft/sec one second after the ladder starts sliding.
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g(x) = h(x - 7) + 5
The plus 5 on the outside of the brackets represents the graph moving up by 5 units
The minus 7 on the inside of the brackets represents the graph moving right by 7 units.
Note: When it is on the inside of the brackets, you would do the opposite of what it suggests.
Normally, minus 7 would mean the graph shifts to the left, however, it means the opposite in this case.
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The frequency of the data sets is defined as the number of times the data is repeated in the given dataset. The frequency of the given data is calculated in the table below.
<h3>What is the frequency of the data sets?</h3>
The frequency of the data sets is defined as the number of times the data is repeated in the given dataset.
Height (cm) Frequency
146 -- 2
147 -- 1
148 -- 1
149 -- 1
150 -- 2
151 -- 1
152 -- 6
153 -- 2
154 -- 3
155 -- 1
As we can see that the height of 146 cm is repeated two times so its frequency is 2. From this concept, all the frequencies are calculated above.
To know more about the frequency of datasets follow
brainly.com/question/1512008
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Hello,
cosec(-1410°)=cosec(-330°)=cosec(30)=1/sin(30°)=1/(1/2)=2
