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harkovskaia [24]
3 years ago
8

Find the length of the missing side The length of the missing side is​

Mathematics
2 answers:
givi [52]3 years ago
7 0

Answer:

52 m

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 + 39^2 = 65^2

a^2 + 1521 = 4225

4225 - 1521 = 2704

Square root of 2704 = 52

Svetllana [295]3 years ago
4 0

Answer:

52m

Step-by-step explanation:

as this is a right angled triangle (has a 90° angle), you can use the Pythagoras theorem to work out the missing side.

Pythagoras theorem:

a^{2} + b^{2} = c^{2}

side A squared (labeled on diagram below)

+ side B squared

= side C squared

for this example though, we don't know the length of side B so we need to swap around the formula.

c^{2} - a^{2} = b^{2}

replace the letters for their numbers,

65^{2} - 39^{2} = b^{2} (calculate)

65^{2} - 39^{2} = 2704  

2704 = b² but we want b by itself so we will square root b² (2704)

\sqrt{2704}  = 52

∴ side B = 52m (remember we were calculating in meters)

I hope this was helpful :-)

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A force of 60 N is used to stretch two springs that are initially the same length. Spring A has a spring constant of 4 N/m, and
goblinko [34]

Answer:

D:Spring A is 3 m longer than spring B because 15 – 12 = 3.

Step-by-step explanation:

In this question, you should remember the Hooke's Law in physics.

The Hooke's Law simply explains that the extension that occurs on a spring is directly proportional to the load applied on it.

The mathematical expression for this law is

F=-kx

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The question will need you to calculate the extension on the springs A and B then compare the values obtained.

<u>In spring A</u>

Force, F=60N and spring constant ,k=4 N/m

To find the extension x apply the expression;

F=-kx\\\\60=-4*x\\\\60=-4x\\\\\frac{60}{-4} =\frac{-4x}{-4} \\\\\\-15=x

Here the spring extension is 15 m

<u>In spring B</u>

Force, F=60N and spring constant , k=5N/m

To find the extension x apply the same expression

F=-kx\\\\60=-5*x\\\\60=-5x\\\\\\\frac{60}{-5} =\frac{-5x}{-5} \\\\\\-12=x

Here the extension on the spring is 12 m

<u>Compare</u>

The extension on spring A is 3 m longer than that in spring B because when you subtract the value of spring B from that in spring A you get 3m

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Step-by-step explanation:

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Andrews [41]

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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