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3 years ago

What is the area of the parallelogram?

Mathematics

1 answer:

Fed [463]3 years ago

8 0

Answer:80cm^2

Step-by-step explanation:

Area of a parallelogram=base×height

In the above diagram we were given a base of 16cm and height of 5cm

Therefore area of the parallelogram=16×5 which is equal to 80cm^2

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45°

ioda

Answer:

$x = \sqrt{\frac{7}{2} }$

Step-by-step explanation:

<u><em>Explanation</em></u>

From given graph

AC = √7

Given angle ∝ = 45°

$cos\alpha = \frac{adjacentside}{Opposite side}$

$cos45 = \frac{x}{\sqrt{7} }$

$\frac{1}{\sqrt{2} } = \frac{x}{\sqrt{7} }$

$x = \frac{\sqrt{7} }{\sqrt{2} }$

$x = \sqrt{\frac{7}{2} }$

x = 1.8708

7 0

3 years ago

What value of x will make the triangles similar by the SSS similarity theorem?

Sophie [7]

Answer:

1,5

Step-by-step explanation:

3 0

4 years ago

The swim club rents the municipal pool for a flat fee of $500 plus a charge of $75 per swimmer during

xxTIMURxx [149]

Answer:

Y=500x+75

Step-by-step explanation:

4 0

4 years ago

What is the difference between the two hotel rates per night?

seropon [69]

Answer:

Step-by-step explanation:

5 0

3 years ago

How do I work this out?

zvonat [6]

We have to determine the value of $\sum _{m=9} ^{21} (5m+6)$

= (5(9)+6) + (5(10)+6) +(5(11)+6) + .......... + (5(21)+6)

= 51+56+61+66+ ........ + 111

Since, the common difference is 5, hence this series is in arithmetic progression.

Sum of AP is given by the formula:

$\frac{n}{2}[2a+(n-1)d]$

Since, there are 13 terms.

= $\frac{13}{2}[2(51)+(13-1)5]$

= $\frac{13}{2}[102+60]$

= $\frac{13}{2}[162]$

= $13 \times 81$

= 1053

Therefore, the sum of the series is 1053.

So, Option G is the correct answer.

8 0

3 years ago