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3 years ago

13

By the Triangle Inequality Theorem, If two sides of a triangle have lengths of 3 and 7, what are all the possible lengths of the

third side?

2 answers:

Charra [1.4K]3 years ago

7 0

If you do
7+3>?
3+?>7
7+?>3
P.S: look at example

Nataliya [291]3 years ago

5 0

Answer:

4 < x < 10

Step-by-step explanation:

4 < x < 10

difference < x < sum

7 - 3 < x < 7 + 3

4 < x < 10

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An Olympic archer is able to hit the bull’s-eye 15% of the time. Assume each shot is independent of the others. If she shoots 7

Alinara [238K]

Answer:

a) 0.108

b) 1.00

c) 0.170

d) 0.0109

e) 0.0121

f) 0.999

Step-by-step explanation:

Success: p = 0.15

Failure: q = 1 - p = 0.85

a) q²p = 0.85² × 0.15

= 0.108375 = 0.108 (3 sf)

b) 1 - P(all hits)

= 1 - p⁷ = 1 - 0.15⁷

= 0.9999982914= 1.00 (3 sf)

c) q³p + q⁴p = 0.1704196875

= 0.170 (3 sf)

d) 7C4×p⁴×q³ = 35 × 0.15⁴ × 0.85³

= 0.01088152734 = 0.0109 (3 sf)

e) P(4,5,6 or 7)

= 7C4×p⁴×q³ + 7C5×p⁵×q² +

7C6×p⁶×q + 7C7×p⁷×q⁰

= 0.01210317188 = 0.0121 (3 sf)

f) 1 - P(more than 4)

= 1-(0.01210317188-0.01088152734)

= 1 - 0.001221644531

= 0.9987783555 = 0.999 (3 sf)

4 0

3 years ago

The distance between (2, 3) and (1,7) is:

devlian [24]

Answer:

$\sqrt{17}\: units$

Step-by-step explanation:

$d = \sqrt{ {(2 - 1)}^{2} + {(3 - 7)}^{2} } \\ \\ = \sqrt{ {(1)}^{2} + {( - 4)}^{2} } \\ \\ = \sqrt{ 1 + 16 } \\ \\ d= \sqrt{17} \\$

4 0

4 years ago

Read 2 more answers

Is the sum of two polynomials always a polynomial

xz_007 [3.2K]

The sum of two polynomials (polynomial plus polynomial) will always result in another polynomial

6 0

3 years ago

Nathan is planning to ride his bike for 24 minutes.

Bas_tet [7]

Answer:

2 miles

Step-by-step explanation:

60 min = 1 hour

24 min = x

x = 2/5 hour

1 hour = 5 miles

2/5 hour = y

y = 2 miles

7 0

3 years ago

Two hikers start from the same point and hike in opposite directions around a lake whose shoreline is 17 mi long. One hiker walk

Ainat [17]

Let A be the speed of hiker A and B the speed of hiker B.
let's say that B is faster than A, so B=A+0.5
we know that they met after 2 hours, and the distance each walked after 2 hours is given by:
$2A+2B=17

2A+2(A+0.5)=17

2A+2A+1=17

4A=16

A=4$
One of the hikers travels at 4 miles per hour, the other one at 4.5 miles per hour

5 0

3 years ago