1. 45
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4. 190
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3. See attached
4. 190
The length of two parallel sides of a trapezium are 5cm and 7cm and the area is 120cm.sq find the distance between the parallel
1 answer:
The height or the distance between the two parallel sides of the given trapezium is 20 cm.
A trapezium or trapezoid is a two-dimensional geometric shape that has 4 sides, with one pair of parallel sides.
The parallel sides of a trapezium are called bases while the distance between them is the altitude or height.
The formula for the area of a trapezoid is given by
A = (a + b)/2 x h
where a and b are the parallel bases and h is the height.
Using this formula, the height or the distance between the two parallel sides can be computed.
A = (a + b)/2 x h
120 cm^2 = (5 cm + 7 cm) / 2 x h
120 = (12 / 2) x h
120 = 6h
h = 120 / 6
h = 20 cm
For more examples on solving the area of a trapezium, visit brainly.com/question/16904048.
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The values are x= -2 and x =4 of the given function f (x) =-5|x+1| +3
<h3>What is function?</h3>
Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
According to the question,
The given function is
Here f(x) = -12
Substitute f(x) and solve for x
By subtracting 3 on both sides
By dividing -5 on both sides
We get absolute values for the function.
By subtracting 1 on both sides
Therefore, the values of x are 2 and - 4 of the given function f (x) =-5|x+1| +3
Learn more about function here: brainly.com/question/12431044
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We want to change the digit in the number 5,341 into 5,841, and to find the difference between the numbers.
Refer to the figure shown below.
The number 3 is in the 3rd place (hundreds) of the number 5,341 as a digit.
It is replaced by 8 to form the number 5,841.
This means that 300 is replaced by 800 because, in the third place, we count by hundreds in the 3rd place.
The difference between 800 and 300 is 500.
Subtraction of 5,341 from 5,841 also yields 500.
Answer:
The digit is in the 3rd place (hundreds).
The difference between the numbers is 500.
Refer to the figure shown below.
The number 3 is in the 3rd place (hundreds) of the number 5,341 as a digit.
It is replaced by 8 to form the number 5,841.
This means that 300 is replaced by 800 because, in the third place, we count by hundreds in the 3rd place.
The difference between 800 and 300 is 500.
Subtraction of 5,341 from 5,841 also yields 500.
Answer:
The digit is in the 3rd place (hundreds).
The difference between the numbers is 500.