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USPshnik [31]
3 years ago
10

The reciprocal of a positIve natoinal number is?

Mathematics
1 answer:
sleet_krkn [62]3 years ago
3 0

Answer:

If the rational number is ab then, te reciprocal is ba

Step-by-step explanation:

Suppose that rational number is ab

Then, the reciprocal of that number is ba

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A metallic sphere is immersed in water in a cylindrical container causing a rise in the level of water by 7.5cm if the cylinder
SVETLANKA909090 [29]

Answer:

6.51 cm

Step-by-step explanation:

Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus    V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.

Since V = V',

4πr³/3 = πR²h

dividing through by π, we have

4r³/3 = R²h

multiplying both sides by 3/4, we have

r³ = 3R²h/4

taking cube-root of both sides, we have

r = ∛(3R²h/4)

Substituting the values of the variables into the equation, we have

r = ∛(3(7 cm)² × 7.5 cm/4)

r = ∛(3 × 49 cm² × 7.5 cm/4)

r = ∛(1102.5cm³/4)

r = ∛(275.625 cm³)

r = 6.508 cm

r ≅ 6.51 cm to 2 decimal places

3 0
3 years ago
What is the estimated sum? Round each addend to the nearest thousand before adding. 75,364 + 472,756 . A. 550,000 B. 548,000 C.
exis [7]
Hey!

We can round 75,364 to 75,000 and 472,756 to 473,000


75,000 + 473,000 = 548,000

So, the answer is B. 548,000 =)
5 0
3 years ago
.Choose the equation that represents the line that passes through the point (−1, 6) and has a slope of −3.
leonid [27]
Y=-3+3 answer do I need to explain?
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2 years ago
What are the solutions of 4x2 + x = -3? (5 points) and <br> x2 - 7x = -12 (5 points)
Yuki888 [10]
4x^2 + x + 3 = 0

x =  [-1 +/- sqrt (1^2 - 4 * 4 * 3)]  / 8 =  - 1 +/- sqrt ( --47) / 8

=  ( - 1 +/- sqrt47i) / 8  =  -0.125 + 0.857i ,  -0.125 - 0.857i
7 0
3 years ago
Read 2 more answers
Solve this system of equations by
makvit [3.9K]

Answer:

x=4 and y=11

Step-by-step explanation:

x+y=15

5x-y=9

x+5x-y+y=15+9

6x=24

X=4

x+y=15

4+y=15

y=11

6 0
3 years ago
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