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Bogdan [553]
3 years ago
11

What is the range of possible sizes for x?

Mathematics
1 answer:
lutik1710 [3]3 years ago
3 0

Answer:

<em>0.5 < x < 15.5</em>

Step-by-step explanation:

<u>Triangle Inequality Theorem</u>

Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:

x + y > z

x + z > y

y + z > x

Combining the above inequalities, and provided y>z, the third size must satisfy:

y - z < x < y + z

The two side lengths given in the triangle of the figure are y=8.5, z=8.0, thus the possible values of x lie in the interval

8.5 - 8.0 < x < 8.5 + 8.0

0.5 < x < 15.5

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Olin [163]

Answer:

B

Step-by-step explanation:

definitely b because 6 percent of 2000 is 120 and 120 x 2 is 240 so add that to the 2000 and theres your answer

7 0
3 years ago
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Answer plzzzz<br> What are the set of all natural numbers greater than or equal to 5?
nlexa [21]
5,6,7,8,9,10 probably
8 0
3 years ago
Elena works out on a treadmill. She uses a program that combines running and walking. She knows that she runs .2 miles and she w
dedylja [7]

Answer:

s = 2t₁ + t₂

3 possible combinations:

t₁ = 0 min , t₂ = 8 min

t₁ = 1 min , t₂ = 6 min

t₁ = 2 min , t₂ = 4 min

Step-by-step explanation:

The distance covered by a body in uniform motion is given by the following equation:

s = vt

where,

s = distance

v = speed

t = time

For running:

s = s₁

t = t₁

v = 2 miles/min

Therefore,

s₁ = 2t₁

For walking:

s = s₂

t = t₂

v = 1 miles/min

Therefore,

s₂ = t₂

And the total distance will be:

s = s₁ + s₂

<u>s = 2t₁ + t₂</u>

where,

s = total distance covered in miles

t₁ = running time in min

t₂ = walking time in min

Now, the total distance is given as 8 miles:

8 = 2t₁ + t₂

So, the 3 possible combinations of time to satisfy this equation can be:

<u>t₁ = 0 min , t₂ = 8 min</u>

<u>t₁ = 1 min , t₂ = 6 min</u>

<u>t₁ = 2 min , t₂ = 4 min</u>

3 0
4 years ago
Can you guys distribute this problem and then figure out how many solutions does this problem have 5(m-3)=7m-17
Cloud [144]
                         5 (m - 3)  =  7m - 17

Eliminate
parentheses:        5m - 15  =  7m - 17

Subtract 5m
from each side:          - 15  =  2m - 17

Add 17
to each side:                  2  =  2m

Divide
each side
by  2 :                            1  =  m  

No more solutions.
Only one.

6 0
4 years ago
A bag contains 2 white marbles and 7 purple marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then
Masja [62]
A.
\frac{7purple}{9total} *  \frac{2white}{8total}  \\  \frac{14}{72}  \\ =0.194
The denominator of the second number goes down one because you aren't replacing the initial marble pulled, making the amount of marbles in the bag go down, but not affecting the white count because you pulled a purple marble.
b.
\frac{2white}{9total} *  \frac{1white}{8total}  \\  \frac{2}{72}  \\ =0.278
The same can be said about the denominator for this problem, but not the numerator. The numerator must go down one number as well, because you already chose one white marble, taking one of the white marbles out of the bag, leaving you with one solitary, white marble.
c.
Chance of selecting two purple marbles:
<u />\frac{7purple}{9total} *  \frac{6purple}{8total}  \\  \frac{42}{72}  \\ =0.583
Chance of selecting two white marbles:
\frac{2white}{9total} * \frac{1white}{8total} \\ \frac{2}{72} \\ =0.278
<u>Chance of selecting two purple</u> vs. <em>Chance of Selecting 2 white:</em>
<u>0.583</u>><em>0.278</em>.
It is more likely to select 2 purple marbles.

Hope this helps!
6 0
3 years ago
Read 2 more answers
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