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GREYUIT [131]
2 years ago
10

Find the missing length indicated ​

Mathematics
1 answer:
tiny-mole [99]2 years ago
5 0

Answer:

x = 256

Step-by-step explanation:

Remark

Interesting question. Thanks for posting.

The small triangle has the height as the missing side.

Part One: Givens

a = 144

b = height = ?

c = 240

a^2 + b^2 = c^2

144^2 + b^2 = 240^2

20736 + b^2 = 57600                   Subtract 20736 from both sides

b^2 = 57600 - 20736

b^2 = 36864

√b^2 = √36864

b = 192

Solve for x

The relationship between the height (b) and 144 and x is

b^2 = 144 * x

36864 = 144x          Divide by 144

x = 256

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I have attached the problem in a picture below!​
lesantik [10]

Answer:

A. The solution set is x = 5 or -7

Step-by-step explanation:

\sqrt[4]{ {x}^{2} + 2x }  =  \sqrt[4]{35}  \\ {({x}^{2} + 2x) }^{ \frac{1}{4} }  =  {(35)}^{ \frac{1}{4} }  \\ {x}^{ \frac{1}{2} } + {2x}^{ \frac{1}{4} }   =  {35}^{ \frac{1}{4} }  \\   {x}^{2}  + 2x = 35 \\  {x}^{2}  + 2x  -  35 = 0 \\ (x - 5)(x + 7) = 0 \\ x = 5  \: or \:  - 7

Therefore, the answer is A. as the solution is x = 5 or -7

4 0
1 year ago
Jill cuts a piece of cardboard in the shape of a trapezoid.The area of the is 43.5sp cm. If bases are cm and 8.5cm long,what is
boyakko [2]

Answer:

7.25cm

Step-by-step explanation:

Let the complete question be;

<em>Jill cuts a piece of cardboard in the shape of a trapezoid. The area of the is 43.5sp cm. If bases are 3.5cm and 8.5cm long, what is the height.</em>

<em />

Area of a trapezoid = 1/2(a+b)*h

a and b are the parallel sides (bases)

h is the height

Given

a = 3.5cm

b = 8.5cm

A = 43.5 sq.cm

Required

Height h

Substitute the given values into the expression

Area of a trapezoid = 1/2(a+b)*h

43.5 = 1/2(3.5+8.5)*h

43.5 = 1/2 * 12h

43.5 = 6h

h = 43.5/6

h = 7.25cm

Hence the height is 7.25cm

8 0
3 years ago
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