A rectangle has a side length of 2x and a diagonal of 8x. What is the missing lenght?

Mathematics

1 answer:

Leona [35]3 years ago

6 0

Answer:

2x $\sqrt{15}$

Step-by-step explanation:

we can use the Pythagorean Theorem to find the missing side (a):

a² + (2x)² = (8x)²

a² + 4x² = 64x²

a² = 60x²

a = √60x²

a = $\sqrt{4}$ · $\sqrt{15}$ · $\sqrt{x^2}$

This can be simplified to be 2x $\sqrt{15}$

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This is worth 4 marks

tresset_1 [31]

1. x = cost of one adult ticket
y= cost of one child ticket

2x+3y=31.60
x+2y=18.60 l multiply by -2

2x+3y=31.60
-2x-6y=-37.2
-3y=-5.6
y=1.87

2x+3(1.87)=31.60
2x+5.6=31.60
2x=31.60-5.6
2x=26
x=26/2
x=13

Answer: The adult ticket is $13 and the child ticket is $1.87

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3 0

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Answer:

The percent error would be 27.27%

Step-by-step explanation: