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elena-s [515]
3 years ago
9

The diagonal of a square measured 10 cm. Find the length of a side of the square to the nearest tenth.

Mathematics
1 answer:
Naddika [18.5K]3 years ago
6 0

Answer:

  7.1 cm

Step-by-step explanation:

Let s represent the side length of the square. The Pythagorean theorem tells you the relationship to the diagonal length is ...

  (10 cm)² = s² +s² . . . . the sum of the squares of the legs is the square of the hypotenuse

  100 cm² = 2s² . . . . . . simplify

  50 cm² = s² . . . . . . . . divide by 2

  √(50) cm = s ≈ 7.1 cm . . . . . take the square root

The length of a side of the square to the nearest tenth is 7.1 cm.

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DIA [1.3K]

Answer:

y = -1/2x + 3

Step-by-step explanation:

y = mx + b

The b is the y-intercept or the point where x is 0. According to the given graph, the y-intercept is (0, 3). So, b would equal 3

b = 3

Slope is simply rise over run, so for a simple line graph like this, we can count how many points the line goes up, or down, and right, or left, to reach the next point. According to the given graph, the slope is -2/4 or -1/2.

m = -1/2

plug these into the slope-intercept equation to find the answer

y = -1/2x + 3

8 0
3 years ago
Write the equation of the line parallel to 3x - 4y = 18 that goes through<br> the point (8,-3)
kkurt [141]

Answer:

y=3/4x-9

Step-by-step explanation:

3 0
3 years ago
The length of 2 sides of a triangle are 12 inches and 4 inches. Which is the third side?
Westkost [7]

Answer:

Let x = the third side

 

In a triangle, the sum of any 2 sides must be larger than the third side.

I believe this is called the triangle inequality theorem.

 

We can construct 3 inequalities to obtain the range of values for the third side.

 

  (Inequality #1)   12 + 4 > x

                                  16 > x

 

  (Inequality#2)    12 + x > 4

                                    x > -8   (we can discard this ... we know all sides will be positive)

 

  (Inequality #3)   4 + x > 12

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So when we combine these together,  

 

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X (the third side) must be a number between 8 and 16. but not including 8 and 16

7 0
2 years ago
Please help!!!!!<br> One third of a number x is no more than 15.
Nitella [24]

Answer:

1/3x is less than or equal to 15

Step-by-step explanation:

assuming you want an equation?

1/3x is less than or equal to 15

its this sign < with line under (srry i don't have the symbol)

7 0
3 years ago
Which of the following is a valid reason why the quadrilateral shown below is a parallelogram?
saveliy_v [14]
The correct answer to this question is: " A valid reason why the quadrilateral shown below is a parallelogram is that "B. All pairs of consecutive angles are supplementary."

The choices are:
A. Both pairs of opposite angles are congruent
B. All pairs of consecutive angles are supplementary
C. Both pairs of opposite sides are parallel
D. All pairs of consecutive angles are complementary
7 0
3 years ago
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