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Tomtit [17]
2 years ago
11

20) Find the length of a side of a square with a diagonal length of 100 cm.

Mathematics
1 answer:
Andre45 [30]2 years ago
5 0

Answer:

about 7.0710678cm

Step-by-step explanation:

it's a square so the sides are equal.

the diagonal is 100cm

This makes a right triangle with two sides

since the sides are equal, they both are equal to the square root of 50, which is half of 100

the square root of 50 is about 7.0710678cm

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Use the equation and type the ordered-pairs. y = log 3 x {(1/3, a0), (1, a1), (3, a2), (9, a3), (27, a4), (81, a5)
vagabundo [1.1K]

Answer:

Considering the given equation y = log_{3}x\\

And the ordered pairs in the format (x, y)

I don't know if it is log of base 3 or 10, but I will assume it is 3.

For (\frac{1}{3}, a_{0} )

x=\frac{1}{3}

y=a_{0}

y = log_{3}x\\y = log_{3}(\frac{1}{3} )\\y=-\log _3\left(3\right)\\y=-1

So the ordered pair will be (\frac{1}{3}, -1 )

For (1, a_{1} )

x=1

y=a_{1}

y = log_{3}x\\y = log_{3}1\\y = log_{3}(1)\\Note: \log _a(1)=0\\y = 0

So the ordered pair will be (1, 0 )

For (3, a_{2} )

x=3

y=a_{2}

y = log_{3}x\\y = log_{3}3\\y = 1

So the ordered pair will be (3, 1 )

For (9, a_{3} )

x=9

y=a_{3}

y = log_{3}x\\y = log_{3}9\\y=2\log _3\left(3\right)\\y=2

So the ordered pair will be (9, 2 )

For (27, a_{4} )

x=27

y=a_{4}

y = log_{3}x\\y = log_{3}27\\y=3\log _3\left(3\right)\\y=3

So the ordered pair will be (27, 3 )

For (81, a_{5} )

x=81

y=a_{5}

y = log_{3}x\\y = log_{3}81\\y=4\log _3\left(3\right)\\y=4

So the ordered pair will be (81, 4 )

4 0
3 years ago
Solve for k <br> 8k + 2m = 3m + k
butalik [34]

Answer:

k= m/7

Step-by-step explanation:

7 0
2 years ago
I need help on this, please explain
san4es73 [151]

Answer:

The answer would be A

Step-by-step explanation:

When you draw TV with V being the midpoint of SU, you would have two triangles that are congruent on all three sides (SSS). See picture. Hope this helped :)

3 0
3 years ago
7. A clothing trunk is 30 inches tall, 48 inches wide,
Vinvika [58]

Answer:

34,560 in^3

Step-by-step explanation:

A clothing trunk is 30 inches tall, 48 inches wide, 24 inches deep

The amount is cubic feet the trunk will hold can be calculated as follows

= 30×48×25

= 34,560 in^3

4 0
2 years ago
Let each square represent 1/3 unit by 1/3 unit
7nadin3 [17]
4110000 is the answer
4 0
3 years ago
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