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Gala2k [10]
3 years ago
10

GEOMETRY- What is the area of the figure, show your work please!

Mathematics
1 answer:
Kamila [148]3 years ago
8 0
Since this is a 45-45-90 right triangle, the hypotenuse = sqrt2 * leg
24 is the hypotenuse so we need to find the leg.
24 = sqrt2 * leg
Divide both sides by sqrt2
leg = 16.97
A = (1/2)b*h
A = (1/2)*16.97*16.97
A = 144ft^2
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Answer:

8 Joule

Step-by-step explanation:

Mass of block = 2 kg

Displacement = x = 800 mm = 0.8 m

Spring constant = k = 25 N/m

Potential Energy of a spring

Work done = Difference in Potential Energy

Work Done = Δ P.E.

\Rightarrow \Delta\ P.E.=\frac{1}{2}kx^2

⇒P.E. = 0.5×25×0.8²

⇒P.E. = 8 Nm = 8 Joule

Here already the spring constant and displacement is given so the mass will not be used while calculating the potential energy.

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3 years ago
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Step-by-step explanation:

5 0
2 years ago
How do you do this ??
VikaD [51]

Answer:

(D)

Step-by-step explanation:

First, you have to graph the equation. Then you notice that it is a parabola facing downwards. This means that as the graph decreases on the left side, the x's become negative and the y's become negative. On the right side, the x's become positive and the y's become negative.

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ElenaW [278]

Answer:

Step-by-step explanation: One number is four more than the other."   is represented as 'x'

"One number is four more than the other."  is represented as 'x+4'

"Their sum is fourteen."  is represented as 'x+(x+4)=14'

"Find both numbers."

x+(x+4)=14

x+x+4=14  (add like terms)

2x+4=14 (isolate your 'x' variable on one side of the equality by subtracting 4 from both sides)

2x+4-4=14-4

2x=10 (isolate your 'x' variable by dividing by 2 from both sides)

2x/2=10/2

x=5  (this is the answer to one number)

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Your two numbers are 5 and 9.

6 0
3 years ago
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