4 years ago

Help me to work this out

1 answer:

4 0

Since the perimeter of the square is 16cm, each side is 4cm.

If we subtract the area of the two unshaded triangles from the area of the square we will know the area of the shaded portion...

The small inverted triangle on the left has a height of 4 and a base of 1. The are of the bottom triangle has a height of 2 and a base of 4...

So the area of the two triangles is 4*1/2+2*4/2=2+4=6

The area of the square is just 4*4=16 so:

The shaded area is 16-6=10cm^2

The proportion of the shaded area to the total area is then:

10cm^2:16cm^2

5:8

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A gym has 2kg and 5kg weights. There are 10 disks in all. The total weight of 2kg and 5kg disks is equal to 29kg. Find the numbe

Simora [160]

Answer:

no of 5 kg disks is 3, and no of 2 kg disks is (10-3) i.e. 7

Step-by-step explanation:

Let the no of 2kg disks be a.

Let no of 5 kg disks be b.

2a+5b=29

a+b=10

Using substitution, we have

2(10-b) + 5b=29

20-2b+5b=29

20+3b=29

3b=9

b=3

So no of 5 kg disks is 3, and no of 2 kg disks is (10-3) i.e. 7

6 0

4 years ago

|z - 1| = 7z - 13 solve this equation and check for extraneous solutions

Tema [17]

$|z - 1| = 7z - 13$
either:
$z - 1 = 7z - 13$
and in that case:
$- 1 + 13 = 7z - z$
$12 = 6z$
$z = 12 \div 6 = 2$
or:
$z - 1 = - 7z + 13$
and in that case
$z + 7z = 13 + 1$
$8z = 14$
$z = 14 \times 8 = 1.75$
So; the answer is: either 2 or 1.75

8 0

3 years ago

Read 2 more answers

PLZ HELP! WILL GIVE BRAINLIEST!

nalin [4]

Answer:

About 2105.98

Step-by-step explanation:

31% of 3354 is 1039.74

3354-1039.74=2314.26

9% of 2314.26 is 208.2834

2314.26-2018.2834=2105.9766