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iris [78.8K]
2 years ago
5

Question 15 (5 points)

Mathematics
1 answer:
serg [7]2 years ago
8 0

Answer:

You need to attach the pictures and ask again.

Step-by-step explanation:

I cannot see any attachments.

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A sheet of glass has a density of 2.5 g/cm3. what is the density of the glass in kg/m3
asambeis [7]

Answer:

this is ez

Step-by-step explanation:

2.5 g converted to kg: 2.5 g x 1 kg/1000 g = 0.0025 kg = 2.5x10-3 kg

cm3 converted to m3: 1 cm3 x 10-6 m3/cm3 = 1x10-6 m3

Thus, the conversion of 2.5 g/cm3 to kg/m3 would be 2.5x10-3 kg/10-6 m3 = 2.5x103 kg/m3 = 2500 kg/m3

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I need help with these three problems please​
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Answer:

Q7. 11.3 inches (3 s.f.)

Q8. 96.2 ft

Q9. 36.4cm

Step-by-step explanation:

Q7. Please see attached picture for full solution.

Q8. Let the length of a side of the square be x ft.

Applying Pythagoras' Theorem,

34^{2}  =  {x}^{2}  +  {x}^{2}  \\ 2 {x}^{2}  = 1156 \\  {x}^{2}  = 1156 \div 2 \\  {x}^{2}  = 578 \\ x =  \sqrt{578}  \\

Thus, the perimeter of the square is

= 4( \sqrt{578} ) \\  = 96.2 ft\:  \:  \: (3 \: s.f.)

Q9. Equilateral triangles have 3 equal sides and each interior angle is 60°.

Since the perimeter of the equilateral triangle is 126cm,

length of each side= 126÷3 = 42 cm

The green line drawn in picture 3 is the altitude of the triangle.

Let the altitude of the triangle be x cm.

sin 60°= \frac{x}{42}

\frac{ \sqrt{3} }{2}  =  \frac{x}{42}  \\ x =  \frac{ \sqrt{3} }{2}  \times 42 \\ x = 21 \sqrt{3}  \\ x = 36.4

(to 3 s.f.)

Therefore, the length of the altitude of the triangle is 36.4cm.

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3 years ago
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Two sides of the triangle are 6 and 6. Which of the following could be the length of the third side?
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Answer:

6

Step-by-step explanation:

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Diego‘s mother is twice as old as he is. She is also as old as the sum of the ages of Diego and both of his younger twin brother
Pavel [41]
Diego's age is 22
And his mother's age is 42
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