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mart [117]
2 years ago
9

Determine if the given sides are a triangle or not A. 21 cm, 7 cm, 6 cm

Mathematics
1 answer:
fgiga [73]2 years ago
4 0

Answer:

This is not a triangle

Step-by-step explanation:

If you use the triangle inequality theorem you can reach your answer.

The theorem states that if you add the length of any 2 sides together, you will have a length greater than the length of the other side. Using this method we can easily see that 7+6=13 which is less than 21. Meaning this is not a triangle

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In a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, David has s
jasenka [17]

Answer:

The answer in interval notation is ( 73 ,  100 )

Step-by-step explanation:

If we call x and y the lower and upper values for David to get an average of 80 and 89 respectively, we can calculate these two values solving a pair of equations:

(81  +  92  + 74  +  x ) / 4  = 80     ⇒   (247  +  x  )/4 = 80

247  +  x  =  320    ⇒    x  =  320 - 247

x  =  73

And

(81  +  92  + 74  +  y ) / 4  = 89     ⇒   ( 247  +  y ) / 4  =  89

247   +  y  =   356

y  =  356  -  247

y  =  109

But tests are a 100-point test

Then the answer in interval notation is ( 73 ,  100 )

4 0
3 years ago
Can someone help me on this? I don’t need an explanation just the answers because I can work backwards. Thank you!
shutvik [7]

Answer:

a. t

b. a (or x = a)

c. r

d.

1) c

2) t

3) a

4) p

Step-by-step explanation:

a. Draw vertical line passing through the point (c,0). This line intersects the graph at point L. Point L has coordinates (c,t), so

f(c)=t

b. If f(z)=p, draw the horizontal line passing through the point (0,p). This line intersects the graph at point K with coordinates (a,p), so x=a.

c. Note that f(b)=0, then

z=0\\ \\f(z)=f(0)=r

d. Coordinates of point L are (c,t), coordinates of point K are (a,p)

4 0
3 years ago
Visitors to a cinema are either children, adults or pensioners the ratio of children to adult visitors is 1 : 2 the ratio of adu
Juliette [100K]

Answer:

the number of pensioners in the sample is 40

Step-by-step explanation:

The computation of the number of pensioners in the sample is shown below:

Given that

The Ratio of children to adult visitors is 1:2

The ratio of adults to pensioners is 3:4

And, the total number of seats is 85

Based on the above information,

The common ratios we could write as

1.5 : 3 : 4

Now we doubled it

3 : 6 : 8

So, the number of pensioners in the sample is

= 85 × 8 ÷ (3 + 6 +8)

= 40

Hence, the number of pensioners in the sample is 40

5 0
2 years ago
Which statement is true about whether Z and B are independent events
const2013 [10]
Independent Events are 2 events where the occurrence of the first doesn't affect the occurrence of the second and vice versa.
Example: rolling 2 simultaneously dies, the occurrence of the first, has no impact, no effect on the occurrence of the 2nd roll 


6 0
2 years ago
5/3 × 20 must show work
Romashka [77]

Answer:

5/3*20

5/3*20/1

100/3

33.3333

Step-by-step explanation:

5 0
3 years ago
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