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satela [25.4K]
3 years ago
12

Will someone please answer this and remind me how to solve this

Mathematics
2 answers:
Varvara68 [4.7K]3 years ago
7 0

You use the Pythagorean theorem .

Formula: a^2 + b^2 = c^2

<u>Solve for x:</u>

Take out exponent.

12^2 + x^2 = 20^2

Subtract 144 on both sides to get the variable alone.

144 + x = 400

-144         -144

You get the solution as 256. But you know it's bigger than the numbers given. So find the square root of 256.

x = 256

Which leaves you with:

x = 16

<u>Check:</u>

12^2 + 16^2 = 20^2

144 + 256 = 400

400 = 400

<u>Key:</u>

a = First shortest side (shorter side with the number smaller than side b and c)

b = Second shortest side (the number that is between side a's and c's number)

c = Third shortest side (longer side with the number larger than side a and b)

<u />

<u />

<u />

Veseljchak [2.6K]3 years ago
5 0

Answer:

Step-by-step explanation:

Since the two triangles are similar, you can use proportions to solve for the value of x

\frac{x}{12}  = \frac{4}{3}

Now, just multiply 4 and 12.

4 * 12 = 48

Then divide that by 3.

48 / 3 = 16

Therefore, x = 16.

You might be interested in
Which of the following expressions describes the solution to -2x &lt; -10
larisa [96]
The answer would be ×>5 because when u divide by a negative the sign will switch.
7 0
3 years ago
4 • (6 – 4) 2 ÷ 2
Dmitry_Shevchenko [17]

Answer:

Cary is wrong

Step-by-step explanation:

4* (6-4)= 4* 2=8

I think it is saying (8*2) divided by to, which in that case is 8,

but if it is asking 8 (2/2) then that would also be 8 I believe. I really hope this is correct and you have a great day :)

5 0
3 years ago
Read 2 more answers
All currently has $25. He is going to start saving $5 every week
sergij07 [2.7K]

Answer:

I believe the answer is b  

Step-by-step explanation: I think the answer is b because he gets $5 every week and he already has $25 the only thing we dont know is the weeks and you multiply 5 by the weeks so, 5(how much he gets each week) times x (The amount of weeks) plus 25(the amount he already has) equals y(the amount of everything put together)

5 0
3 years ago
an open rectangular cardboard box with a square base is to have a volume of 256cm^3. Find the dimensions of the box if the area
Anit [1.1K]
Let
x------> the length side of the square base of the box
y-------> the height of the box

we know that
volume of the box=b²*h
b=x
h=y
volume=256 cm³
so
256=x²*y------>y=256/x²-------->  equation 1

<span>The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area.</span>

surface area of the cardboard=area of the base+perimeter of base*height
area of the base=x²
perimeter of the base=4*x
height=y
surface area=x²+4x*y-----> equation 2
substitute equation 1 in equation 2
SA=x²+4x*[256/x²]-----> SA=x²+1024/x

step 1 
find the first derivative of SA and equate to zero
2x+1024*(-1)/x²=0------> 2x=1024/x²----> x³=512--------> x=8 cm
y=256/x²------> y=256/8²-----> y=4 cm

the answer is
the length side of the square base of the box is 8 cm
the height of the box is 4 cm

5 0
3 years ago
And here is the other one.
LUCKY_DIMON [66]
Since BD bisects angle ABC, that means angle ABD and angle CBD are equal to each other. With that set up the equation to solve for x like this:

-4x+33 = 2x+81
-2x -2x
————————
-6x +33 = 81
-33 -33
————————
-6x = 48
————- (divide by -6)
-6

x = -8


Now substitute that to ABD
-4(-8) +33
32 +33
=65

here’s CBD
2(-8) + 81
-16 + 81
=65

Finally angle ABC will be double the amount of ABD or CBD so 65 times 2 is 130.

ANSWERS: (angles)
ABD and CBD: 65
ABC: 130

3 0
3 years ago
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