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Mazyrski [523]
3 years ago
14

Find any three rational numbers between 1/4 and 1/2

Mathematics
1 answer:
cluponka [151]3 years ago
7 0

Answer:

12/40, 15/40, 18/40

Step-by-step explanation:

1/4, 1/2 = 1/4, 2/4

Since, Three rational numbers cannot come in between 1/4 and 2/4, we multiply them with 10.

∴ 1/4 × 10 = 10/40

∴ 2/4 × 10 = 20/40

∴ Three rational numbers between 10/40 and 20/40 = 12/40, 15/40, 18/40

(You can add more numbers from between 10/40 and 20/40 if you need)

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A toy soldier set a selection of 6 weapons for 3 soldiers.
Rudik [331]

Answer:

2

Step-by-step explanation:

4 0
3 years ago
A 9,000-lb load is suspended from the roof in a shopping mall with a 16-ft-long solid aluminum rod. The modulus of elasticity of
Westkost [7]

Answer:

Step-by-step explanation:

Given:

elongation, x = 0.50 in

Force, f = 9000 lb

Young modulus, E = 10,000,000 psi

Maximum Stress, Sm = 30000 psi

Length, L = 16 ft

Converting ft to in,

12 in = 1 ft

=16 × 12 = 192 in

Young modulus, E = stress/strain

Stress = force/area, A

Strain = elongation, x/Length, L

E = f × L/A × E

1 × 10^7 = stress/(0.5/16)

= 26041.7 psi

Minimum stress = 26041.7 psi

Maximum stress = 30,000 psi

Stress = force/area

Area = 9000/26041.7

= 0.3456 in^2

Stress = force/area

Area = 9000/30000

= 0.3 in^2

Using minimum area of 0.3 in^2,

A = (pi/4)(d^2)

0.3 in^2 = (pi/4)(d^2)

d = 0.618 inches

diameter, d = 0.618 inches

7 0
3 years ago
The security system in a house has two units that set off an alarm when motion is detected. Neither one is entirely reliable, bu
Mariulka [41]

Answer:

Probability that detector B goes off is '0.615'

Step-by-step explanation:

Given that:

1) Probability that detector A goes off and detector B does not go off is 0.25.

2)Probability that detector A does not go off is 0.35.

3)Probability that detector A  goes off is (1-0.35)=0.65

Assuming that

Probability that detector B goes off is 'p' Hence the probability that detector B does not goes off  is (1-p)

Thus the probability that detector A goes off and detector B does not go off is  product of the individual probabilities

P(E)=0.65\times (1-p)\\\\0.65\times (1-p)=0.25\\\\0.65-0.65p=0.25\\\\0.65-0.25=0.65p\\\\\therefore p=\frac{0.40}{0.65}=0.615

Probability that detector B goes off is '0.615'

5 0
3 years ago
What is the experimental probability
Zarrin [17]
The answer is 1/4 because when you add all the numbers up it equals 12 and B or C gives us 3 which simplifies to 1/4
6 0
2 years ago
Classify the triangle by side length and angle measure
grin007 [14]

Answer:

Isoceles Obtuse

Step-by-step explanation:

This triangle has 2 sides with the same side lengths and 2 of the same angles, so it is an isoceles triangle. Is it obtuse or actue? Well, we can see that there is an angle greater than 90 degrees, so this is an obtuse isoceles triangle.

4 0
2 years ago
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