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Fiesta28 [93]
3 years ago
13

Write one inequality statement to show the relationship among the following shoe sizes: 10 1/2, 8, and 9.

Mathematics
1 answer:
astraxan [27]3 years ago
7 0

Answer:

a) 8 < 9 < 10 1/2

b) 10 1/2 > 9 > 8

Step-by-step explanation:

We can use inequalities to order shoe sizes. We need to know what the symbols mean, for example < means "is lower than" while > means "is greater than". We know that 8 is lower than 9, and 9 is lower than 10 1/2 (which can be written also as 10.5), so we can write:

a) 8 < 9 < 10 1/2

The other way around would be to say that 10 1/2 is greater than 9, and 9 is greater than 8, which means:

b) 10 1/2 > 9 > 8

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Given an isosceles right triangle with side 6 m, what is the length of the hypotenuse?
Artemon [7]

Answer: 6√2m or 8.49.

Step-by-step explanation:

Drawing the right angled triangle and label the sides, AC, which is the hypotenuse and the longest, AB , one if the sides, and BC the third sides. Since it is an isosceles right angle triangle with the right angle at B, based on my own diagram here, two of the sides are equal.

AB = BC = 6m

Now to find the hypotenuse, we apply the Pythagoras theorem which states that the square of the sum of the two sides equal the square of the hypotenuse side.That is

AC² = AB² + BC²

AC² = 6² + 6²

= 36. + 36

= 72

AC² = 72, Therefore, AC which is the hypotenuse

AC = √72

= √36 × √2

= 6√2m. or 8.49m

3 0
3 years ago
Solve for g E=4gh How do you solve this equation
11111nata11111 [884]

Answer:

g = E/4h

Step-by-step explanation:

In order to solve for a variable, you have to isolate it from the other values on one side of the equation.

Because g is multiplied by 4 and h, undo this operation by dividing both sides of the equation by 4h.

\frac{E}{4h} = \frac{4gh}{4h} \\\\ \frac{E}{4h} = g

8 0
3 years ago
Write the equation of the line that passes through the points (-7,9) and (-7,1). Put your answer in fully reduced point-slope fo
gulaghasi [49]

Answer:

It is a vertical line

Step-by-step explanation:

Find the slope using rise over run (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(1 - 9) / (-7 + 7)

-8/0

= undefined

Dividing by 0 gives you an undefined number. This means that the slope is undefined, and the line is a vertical line.

8 0
3 years ago
How many solutions are there for the pair of equations for lines Q and S? Explain your answer.
krek1111 [17]
No solution because the lines are parallel. 
7 0
3 years ago
Read 2 more answers
Find the value 'X' in this given picture
taurus [48]
Hi.
This is just messing around with exterior angles.
I say around 120 degrees, if I forgot what exterior angles were.
But <em>with quick calculation, it is probably 120 degrees</em>
5 0
4 years ago
Read 2 more answers
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