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Mashcka [7]
1 year ago
13

Which of these situations can be represented with an integer​ that, when combined with the opposite of 8​, makes​ 0?

Mathematics
1 answer:
Lerok [7]1 year ago
6 0
-8
On the number line if you are at positive 8 and add -8 you will lose 8 and get zero! Hope this helps!
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I need help with these three problems please​
Liono4ka [1.6K]

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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What are three different ways to write 5 to the 11 power
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The fastest speed at table tennis ball has been hit is 21.12 faster than the speed for the fastest swimmer. What is the speed fo
Juli2301 [7.4K]

Remark

You cannot give an answer to this unless you are give the fastest speed of a swimmer. That stat is not an easy one to decide upon. At what distance for example or do you eliminate distance? Since this is a college level question, I don't think it unreasonable that you have to research raw distance over fastest time.

The fastest speed I can find is 100 meters in 46.91 seconds.  That means that the actual speed of the swimmer is 100 meters / 46.91 = 2.132 meters / second.

Givens

Set up a proportion with the numbers found and given

Speed of ball / speed of swimmer = 21.12 / 1

Speed of ball = x

Solution

Speed of swimmer = 2.132 m/s

x / 2.132 = 21.12 / 1          Multiply Both sides by 2.132

x = 21.12 * 2.132 / 1

x = 45.02 m/s

Answer

45.02 m/s

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