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kogti [31]
3 years ago
13

This trapezium is drawn on a centimetre grid Find the area of the trapezium

Mathematics
1 answer:
MissTica3 years ago
7 0

Answer:

21 cm²

Step-by-step explanation:

A = (b + B)×h/2

= (5 + 9)×3/2

= 14×3/2

= 7×3

= 21 cm²

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Simplify 5+2i/6+i
nlexa [21]

Given problem is \frac{(5+2i)}{(6+i)}

To simplify that we need to multiply and divide by conjugate of the denominator

conjugate of denominator 6+i will be 6-i as we just need to change sign of the imaginary part

Now multiply and divide by 6-i


=\frac{(5+2i)}{(6+i)}\cdot\frac{(6-i)}{(6-i)}

=\frac{30-5i+12i-2i^2}{36-6i+6i-i^2}

=\frac{30+7i-2i^2}{36-i^2}

=\frac{30+7i-2\left(-1\right)}{36-\left(-1\right)}

=\frac{30+7i+2}{36+1}

=\frac{32+7i}{37}

=\frac{32}{37}+\frac{7}{37}i

Hence final answer is \frac{32}{37}+\frac{7}{37}i

3 0
3 years ago
In your own words, what is a interquartile range?<br> REWARDING BRAINLY
melisa1 [442]

Answer: The range of the medians of the numbers left and right of the median of the entire data set.

3 0
3 years ago
Read 2 more answers
Which of the following expressions is always equivalent to -2b + 4 + 4b - 7
spayn [35]

Answer:

c. 2b - 3

Step-by-step explanation:

Simplify the following:

-2 b + 4 + 4 b - 7

Grouping like terms, -2 b + 4 + 4 b - 7 = (4 b - 2 b) + (4 - 7):

(4 b - 2 b) + (4 - 7)

4 b - 2 b = 2 b:

2 b + (4 - 7)

4 - 7 = -3:

Answer:  2 b + -3

3 0
3 years ago
Read 2 more answers
A water pipe has a circular cross section of radius 0.75 cm. Water flows through the pipe at a rate of 16 cm/s.
Alexeev081 [22]

Step-by-step explanation:

volume of water flows through the pipe per second= π r² h = 22/7 × ( 3/4)² × 16

= 22/7 × 9/16 × 16

= 22/7 × 9

= 3.14 × 9 = 28.26 cm ³= 28.26/ 1000= 0.02826 litre

0.02826litre = 1 second

1 litre = 1 / 0.02826 = 100000/2826

= 35 .38 seconds

answer = 35.38 seconds

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8 0
2 years ago
What is the slope of the line graphed on the coordinate plane? A graph with a line running through coordinates (-6, -1) and coor
Jobisdone [24]

Answer:

Slope = ¼

Step-by-step explanation:

The line passes through (-6, -1) and (6,2).

The point-slope formula for a straight line is

  y₂ - y₁ = m(x₂ - x₁)     Insert the points  

2 – (-1) = m[6 – (-6)]

           3 = m × 12         Divide by 12

          m = ¼

The slope of the line is ¼.

8 0
3 years ago
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