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slavikrds [6]
3 years ago
12

If a triangle has lengths of 3ft and 54ft, what are all the possible lengths for the third side?

Mathematics
1 answer:
aleksandrvk [35]3 years ago
5 0

Answer:

53, 55

Step-by-step explanation:

by the triangular inequality theorem, in a triangle.. sum of two sides is always greater than the third side.

3+54=57  ... exclude 57 and 58

3+51=54   ... exclude 51

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Find the value of x.<br> 20<br> Х<br> 16<br> 24
faust18 [17]

Answer:

It has no value whatsoever, anyhoo, E does.

5 0
3 years ago
A researcher asks random samples of residents of two separate counties as to whether they had purchased organically grown food i
Leni [432]

Answer:

2 proportions z test

The two populations are named as residents from the first county and residents from the second county.

Step-by-step explanation:

This is testing hypothesis about the difference between two proportions.

When the proportions are tested if they are the test statistic

z= ( p^1-p^2)- (p1-p2) / √p₁q₁/n₁ + p₂q₂/ n₂

where p^1 is the proportion of success in the first sample and   p^2 of size n₁   is the proportion of success in the second sample of size n₂ with unknown proportions of successes p1 and p2 respectively.

When the sample sizes are sufficiently large

z= ( p^1-p^2)- (p1-p2) / √p₁q₁/n₁ + p₂q₂/ n₂ is approximately standard normal.

The two populations are named as residents from the first county and residents from the second county.

7 0
3 years ago
Find the circumference of a circle with a diameter of 18 in
brilliants [131]

Here is your answer

\bold{56.52 in}

REASON:

Diameter, d= 18 in

So,

Circumference = pi×d

= 3.14×18 in

= 56.52 in

HOPE IT IS USEFUL

5 0
3 years ago
A motorboat averages 20 miles per hour (mph) in still water. It takes the boat the same amount of time to travel 3 miles with th
bearhunter [10]

Answer:

4 mph

Step-by-step explanation:

Let :

Boat speed = 20 mph

speed of current = x mph

Distance against current = 2 miles

Distance with current = 3 miles

speed against current will be ; 20 - x

speed with current will be ; 20 + x

Time =distance / speed against time against = time with current

Solving Mathematically ;

2/(20-x )=3/(20 +x)

2(20+x )= 3( 20-x )

40+2x = 60-3x

3x +2x=20

5x=20

x = 20 / 5

x = 4 mph

Speed of current = 4 mph

8 0
3 years ago
Identical pentagons are joined as shown above work out the size of angle Y.
777dan777 [17]

9514 1404 393

Answer:

  36°

Step-by-step explanation:

Each exterior angle is 360°/5 = 72°. This is the base angle of the isosceles triangle formed by drawing a line opposite angle y at the corners of the pentagons.

The angle y is ...

  y = 180° -2(72°)

  y = 36°

7 0
3 years ago
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