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LUCKY_DIMON [66]
3 years ago
10

Find the value of z and simplify completely.

Mathematics
1 answer:
Anna71 [15]3 years ago
3 0

Answer:

z = 6√2 = 8.49

Step-by-step explanation:

In this question, we are to find the value of the length z.

Mathematically, using Pythagoras’s theorem we can do this.

The Pythagoras’ theorem states that the square of the length of the hypotenuse equals the sum of the length of the squares of the two other sides.

Kindly note that the hypotenuse is the side that faces the angle 90

These are the points needed to solve for z

Using Pythagoras,

z^2 = y^2 + 4^2

z^2 = y^2 + 16 •••••••(i)

x^2 + z^2 = 20^2

x^2 + z^2 = 400 •••••••••(ii)

z^2 + 16^2 = x^2. ••••••••(iii)

Substitute iii into ii

z^2 + 16^2 + z^2 = 400

2z^2 + 256 = 400

2z^2 = 400-256

2z^2 = 144

z^2 = 72

z = √(72)

z = 6√2

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If anyone could solve this question for me while showing the steps. It would be GREATLY appreciated
Blizzard [7]

this is a very annoying problem, with lots of steps. it is on a next level of dragging on and on

Step-by-step explanation:

You can split this into different shapes. A triangle, a rectangle, and a void of a quarter circle. The total area is rectangle+triangle-quarter circle.

We find the second side of the triangle by doing 65-48=17

We then use the pythagorean theorem to find the third length. This is about 49.1426.

We can then use whatever method you'd like for finding the area of the triangle. it turns out to be about 417.7125

Next, we find the rectangle, easy enough, 49.1426*48=2358.8448

which seems a bit scuffed until you realize that the diagram itself is scuffed as well. Great, quarter circle next

16*16*pi/4=201.0619

Alright, now to combine it to find the area.

417.7125+2358.8448-201.0619=2575.4954

great, now let's find the perimeter, simple enough. Curved perimeter+straight perimeter-that one corner in the bottom right

52+48+49.1426+65-32+25.1327=207.2753

and now we convert to meters

207.2753feet=63.1775meters

We are almost done! Now let's find the cost.

Fencing first:

63.1775*8.50=537.01

Then the cement

2575.4954*5.50=14165.2247

Then we add it up and apply tax:

537.01+14165.2247=14702.2347

14702.23*1.13=$<u><em>16613.53</em></u>

if you find anything wrong message me, I may have made errors because its 10pm and i need sleep. I recommend you work through my steps on your own as well. There might be complications with rounding as well, so yea. Hope this helps!

3 0
1 year ago
Please help me it’s due
Kaylis [27]

Answer:

the answer is 22.36 or 22.4

Step-by-step explanation:

7 0
2 years ago
Francisco invested 5,000 into an account that earns 3% compounded quarterly. How many times will Francisco earn interest after k
suter [353]

Answer:Amount = 10,002.21



Step-by-step explanation:4 x 5 = 20 times


2.-

Principal = 5,000

Interest rate per yr = 3%

Compounded times per yr = 4

Time in years = 5


The formula is amt = p*(1 + r/n) ^ (n*t),

thus

Amount = 5,805.92


3.-

If Time in years = 23.2

then

Amount = 10,002.56


4.-

Principal = 5,000.00

Interest rate per yr = 5.82%

Compounded times per yr = 4

Time in years = 12




5 0
3 years ago
Read 2 more answers
5x + 1 = 56<br><br> Solving 2 step equations?
frutty [35]

Answer:

the x would equal to 11 ,so x=11

4 0
2 years ago
4 multiple ( 2+3) square 2
shtirl [24]

Answer:

100

Step-by-step explanation:

4 x (2 + 3)^{2}

  for this equation u have to use PEMDAS so u have to solve the parenthesis first which is 5 then exponets which is 5^{2} which is 25 and 24 x 4 gives you 100

hope this helps, if im wrong sorry

7 0
2 years ago
Read 2 more answers
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