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sergejj [24]
3 years ago
15

What is the range of possible sizes for side x? _ < x < _

Mathematics
1 answer:
allochka39001 [22]3 years ago
3 0

Answer:

  0.5 < x < 16.5

Step-by-step explanation:

The third side of the triangle must be longer than the difference of the other two sides:

  x > (8.5 -8.0)

  x > 0.5

And it must be shorter than their sum:

  x < (8.5 +8.0)

  x < 16.5

The third side must be in the range ...

  0.5 < x < 16.5

_____

These limits are a direct consequence of the triangle inequality, which requires the sum of the two shortest sides exceed the length of the longest side.

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Plz Helppp meeee assapppp
Gwar [14]

Given:

A right angled triangle.

To find:

The value of x.

Solution:

We have,

Base = x

Hypotenuse = \sqrt{5}

In a right angle triangle,

\cos \theta = \dfrac{Base}{Hypotenuse}

For the given triangle,

\cos 45^\circ= \dfrac{x}{\sqrt{5}}

\dfrac{1}{\sqrt{2}}= \dfrac{x}{\sqrt{5}}

Multiply both sides by \sqrt{5}.

\dfrac{\sqrt{5}}{\sqrt{2}}= x

\dfrac{\sqrt{5}}{\sqrt{2}}\times \dfrac{\sqrt{2}}{\sqrt{2}}= x

\dfrac{\sqrt{10}}{2}= x

Therefore, the required value of x is \dfrac{\sqrt{10}}{2}.

8 0
3 years ago
Amy, Bess, Cassie, Diana, and Ellen are a basketball team. Two of them will be guards. Assuming they all have an equal chance of
Alenkasestr [34]
There are 5 people who can be guards, 2 will be guards. Since each person has the same chance of becoming a guard, each person has a 2/5 chance of being a guard which makes it unlikely for Diana to become a guard.
4 0
3 years ago
Read 2 more answers
Explain the differences between adding and multiplying radical expressions using 2 examples you create.
ivann1987 [24]

Answer:

When you multiply radical expressions you multiply the numbers under the radical symbols.3–√×7–√=21−−√

When you add radical expression you CANNOT add the numbers under the radical symbols.

3–√+7–√≠10−−√

Step-by-step explanation:

6 0
3 years ago
What is 67 squared ? give answers
eduard
Here it is
67^2  = 67*67 = 4489 
7 0
4 years ago
A model of Pythagorean Theorem is shown below. Based on the
malfutka [58]
I don’t see the model :/
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