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Ulleksa [173]
4 years ago
8

Which set of side lengths can be used to construct a triangle?

Mathematics
1 answer:
ankoles [38]4 years ago
5 0

Answer:

We verify: a < b + c; b < a + c; c < a + b;

Only a = 9, b = 12, c = 7  verify the conditions: 9 < 19; 12 < 16; 7 < 21;

The correct answer is D.

Step-by-step explanation:

You might be interested in
Use the values listed in the table to answer the question.
antoniya [11.8K]

Answer:

B. (b x d) - c

Step-by-step explanation:

i. -(a x d) + b

= -(6 x \frac{1}{2}) + 8

= -3 + 8

= 5

ii. (b x d) - c

(8 x \frac{1}{2}) - 4

= 4 - 4

= 0

iii. 2(b x f) + a

= 2(8 x \frac{1}{4}) + 6

= 4 + 6

= 10

iv. (a x e) - c

= (6 x \frac{1}{3}) - 4

= 2 - 4

= -2

Thus, the expression which is equivalent to 0 is that of option B.

4 0
3 years ago
Can a triangle have sides with the given lengths 1ft,5ft,11ft
Scilla [17]
Let a,b and c is side of a triangle where:
a = 1
b = 5
c = 11

a^2 + b^2 = c^2. if the following statement is right, then triangle have these side.

1^2 + 5^2 = 11^2
1 + 25 = 121
26 != 121 ( != means not equal to)

Therefore, triangle can't have side length of 1, 5 and 11 ft.
3 0
3 years ago
PLS HELP ME IS EZZZZZ
Arte-miy333 [17]

Answer:

825.663706143591cm

Step-by-step explanation:

80cm × 4 = 320cm

100cm × 3 = 300cm

The radius is 40

40 × 2 = 80cm

Circumference is πd

π80 = 251.327412287183

÷ 2 = 125.663706143591cm

In total

320 + 300 + 80 + 125.663... =

825.663706143591cm

6 0
3 years ago
Since an instant replay system for tennis was introduced at a major​ tournament, men challenged 1436 referee​ calls, with the re
Artemon [7]

There is no sufficient evidence to suggest that men and women have equal success in challenging calls. This was illustrated in the hypothesis.

<h3>How to compute the value?</h3>

It should be noted that based on the information given, P1 will be:

= 424/1436

= 0.295

P2 will be:

= 222/754

= 0.294

The value of the test statistic will be:

= (424 + 222)/(1436 + 754)

= 646/2190

= 0.2949

In this case, the value of the test statistic falls on the rejection region, therefore, there is no sufficient evidence to suggest that men and women have equal success in challenging calls.

Learn more about hypothesis on:

brainly.com/question/11555274

#SPJ1

4 0
2 years ago
If an object is projected upward with an initial velocity of 123 ft per​ sec, its height h after t seconds is h=−16t2+123t. Find
Alinara [238K]

Answer:

Height after 5 seconds is <em>215 ft</em>

Step-by-step explanation:

Given that:

The initial velocity of object which is projected upwards is 123 ft/sec.

Height of the object, <em>h</em> after time <em>t </em> in seconds,  is given as:

h=-16t^2+123t

Here, <em>t </em>will always be positive, so 123t and 16t^2 will also be positive.

But coefficient of 16t^2 is negative, that means something is subtracted from the positive term 123t.

To find:

Height of object after 5 seconds.

Solution:

Given that t=5 seconds.

Let us put the value in the given relation of h and t:

h=-16\times 5^2+123 \times 5\\\Rightarrow h=-400+615\\\Rightarrow \bold{h = 215\ ft}

So, height after 5 seconds is <em>215 ft</em>.

6 0
3 years ago
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