Answer:
4 inches
Step-by-step explanation:
The computation of the scale that should be required to reproduced that fitted on the brochure is
Given that
Length of rectangular park = 4 inches
And the Breadth of rectangular park = 6 inches
As we know that
Area of rectangular park = length × breadth
= 4×6
= 24 square inches
Now the scale that required to reproduced is
= 24 ÷ 6
= 4 inches
Answer:
The correct option is;
a) It moves five places to the right
Step-by-step explanation:
Multiplying a whole number by 10 raised to a given (positive whole number) power, involves the shifting of the positioning of the decimal places to the right, depending on the value of the positive whole number power to which the 10 is raised
Similarly, multiplying a whole number by 10 raised to a given (negative whole number) power, involves the shifting of the positioning of the decimal places to the left, depending on the value of the negative whole number power to which the 10 is raised.
The reason is because, the number base generally used for arithmetic is in base 10 and multiplying or dividing by 10 is what is required to change a number's place value
Therefore, multiplying a whole number by 10 raised to the 5th power (10⁵) requires shifting the decimal place 5 places to the right
Example:
x.0 × 10⁵ = x00000.0
Where, x is a whole number.
The equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.
We are aware that any straight line's equation can be expressed as
y = mx + c,
where m denotes the slope and c denotes a constant.
Also, two perpendicular lines' slopes are the negative reciprocals of one another.
Here, the equation of the given straight line is
3x+8y=4
i.e. 8y = 4 -3x
i.e. y = (4/8) - (3/8)x
Now the negative reciprocal of - 3/8 is 8/3.
Then we can write the equation of the perpendicular line is
y = (8/3)x + c ...(1)
Since (1) passes through the point (8, -9), so we can put x = 8 and y = -9 in (1) to get the value of c.
So, -9 = (8/3)*8 + c
i.e. -9 = 64/3 + c
i.e. c = -9 -64/3 = - (27 + 64)/3 = - 91/3
(1) can be written as
y = (8/3)x - (91/3)
i.e. 3y = 8x - 91
i.e. 8x - 3y = 91
Therefore the equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.
Learn more about perpendicular lines here -
brainly.com/question/12209021
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Answer:
the answer is D
Step-by-step explanation:
Answer;
They will be 0.5x miles away from each other
Explanation;
Since the dog runs twice the speed of the cat
Its speed will be 2 * x = 2x mph
Now we want to know how far they will be from each other after 30 minutes
Kindly note that 30 minutes is 1/2 hour
Mathematically;
distance = speed * time
Distance of cat = x * 1/2 = 0.5x miles
Distance of dog = 2x * 0.5 = x miles
The dog is x - 0.5x miles = 0.5x miles away from the cat
