Perimeter of the drawing is 22 inches, Perimeter of the garden is 770 inches and the Perimeter of Garden becomes 35 times the Perimeter of drawing when drawing length and breadth is multiply by 35.
A closed route that covers, encircles, or outlines a one-dimensional length or a two-dimensional form is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter.
Perimeter of Rectangle = 2 ( Length + Breadth)
(a) Here Length of Drawing is 7 inches and Breadth of Drawing is 4 inches.
So, Perimeter of the drawing = 2( 7 + 4 )
= 2 * 11
= 22 inches.
(b) According to question , Length and Breadth of actual garden is 35 times of the length and breadth of drawing.
Therefore, Length of Actual garden = 35 * 7 = 245 inches
and, Breadth of Actual garden = 35 * 5 = 140 inches.
So, Perimeter of the garden = 2( 245 + 140 )
= 2 * 385
= 770 inches.
(c) The perimeter of Garden becomes 35 times the perimeter of drawing when drawing length and breadth is multiply by 35.
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Positive, because the products (-5)(-3) and (-8)(-6) are positive, and the product of two positive numbers is positive
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Explanation:
Recall we have these rules
Here is one example for each rule
So based on that, we know that (-5)(-3) is positive. The two negatives cancel each other out so to speak. The same goes for (-8)(-6). Then multiplying any two positive numbers produces another positive outcome.
44 cm
154 cm
616 cm
Answer: 154 cm is the answer
Step-by-step explanation:
Answer:
154 cm
Step-by-step explanation:
113.04 in2
56.52 in2
256.34 in2
1017.36 in2
Answer:
The answer is 254.34in².
Step-by-step explanation:
Given that the diameter is 2 times the radius. So the radius will be 9 in. Next, you have to find the area of circle, A = π × r² :
A = π × r²
Let π = 3.14, r = 9,
A = 3.14 × 9²
A = 254.34 in²
Answer:
Step-by-step explanation:
Given:
Slope (m) = -2
Point on the line = (4, -6)
Required:
Point-slope equation of the line
Solution:
Point-slope equation takes the following form:
,
Where,
m = slope of the line = -2
(a, b) = coordinates of the point on the line. = (4, -6)
Plug in the values into the slope-point equation
Answer:
The mean speed of the automobiles traveling on this road is the closest to 65 mph.
Step-by-step explanation:
frequency distribution of speeds.
Speed (mph) | Frequency
45 up to 55 | 70
55 up to 65 | 360
65 up to 75 | 250
75 up to 85 | 110
Using the midpoint method, we represent each group/class of speeds with the midpoint speed, then go ahead to compute the mean.
Let the speed be x
The frequency be f
x | f
50 | 70
60 | 360
70 | 250
80 | 110
Mean = (Σfx)/(Σf)
Σfx = (50×70) + (60×360) + (70×250) + (80×110) = 51,400
Σf = 70 + 360 + 250 + 110 = 790
Mean = (Σfx)/(Σf)
Mean = (51400/790) = 65.06 mph ≈ 65 mph
The mean speed of the automobiles traveling on this road is the closest to 65 mph
Hope this Helps!!!
Answer:
The car that has a fuel efficiency of 40 mpg consumed 35 gallons, while the car that has a fuel efficiency of 20 mpg consumed 40 gallons.
Step-by-step explanation:
The variable a will represent the fuel consumed by the first car, and the variable b will represent the fuel consumed by the second car.
Set up the formula: a+b=75, which will represent the total gas consumption.
The formula 20a+40b=2200 will help you solve.
To solve, we will first solve for a by changing the formula from a+b=75 to b=75-a. Then you plug in the value of b to the second formula:
20a+40(75-a)=2200
20a+3000-40a=2200
3000-20a=2200
After subtracting 3000 from both sides, you are left with -20a=-800. Multiply both sides by -1 so that both sides are positive:
20a=800
a=40
Now that we know that the car with a 20 mpg fuel efficiency consumed 40 gallons that week, we can subtract 40 from 75, leaving us with 35 being the amount of gallons consumed by the car with a 40 mpg efficiency.