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Maru [420]
3 years ago
14

(b) The force, F, between two objects is inversely proportional to the square of the distance, d, between

Mathematics
1 answer:
LiRa [457]3 years ago
6 0

Answer:

F is reduced by 31%

Step-by-step explanation:

F = 1/(d²)

now, we increase the distance by 20% (multiply by 1.2).

F new = 1/(1.2×d)² = 1/(1.44×d²) = (1/1.44) × (1/(d²)) =

= 1/1.44 × old F = 0.69 × old F

100 - 69 = 31%

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dale has $25 to spend at a carnival. if the admission to the carnival is $5 and the rides cost $1.50 each, what is the greatest
Anuta_ua [19.1K]
$25-5=20
20÷ 1.50=13.333333333
Round off the answer and you get 13

5 0
4 years ago
What is the area <br> please help me
Angelina_Jolie [31]

The area and perimeter of the picture is 576 inches square and 96 inches respectively

<h3>How to determine the area</h3>

Given that each frame is a rectangle and four frames makes up the picture

Note that the picture takes the shape of a square

Let's find the total perimeter

Perimeter of the picture = sum of the four rectangular frame perimeters

Perimeter = 24 + 24 + 24 + 24

Perimeter = 96 inches

Formula for area of a square = a^2

Where 'a' is the length of the side  = 24 inches

Substitute the value of 'a'

Area of the picture = 24^2

Area of the picture = 576 inches square

Thus, the area and perimeter of the picture is 576 inches square and 96 inches respectively.

Learn more about a square here:

brainly.com/question/24487155

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5 0
2 years ago
What’s 19 to the second power
lyudmila [28]

Answer:

38

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find x. Round your answer to the nearest tenth. <br><br> ______________
liubo4ka [24]

Answer:

Step-by-step expThis is the concept of trigonometry, the value of x will be calculated as follows;

sin theta=[opposite]/[hypotenuse]

theta=x

opposite=16 units

hypotenuse=21 units

thus;

sin x=16/21

hence;

x=arcsin(16/21)

x=49.63

x=50 (to the nearest degrees)

7 0
3 years ago
The velocity of the current in a river is C = 0.6i + 0.8j km/hr. A boat moves relative to the water with velocity v=7i km/hr. a.
AnnyKZ [126]

Answer:

  a. 7.64 km/h

  b. 6.0°

  c. see below

Step-by-step explanation:

a) The total velocity of the boat is ...

  7i +(0.6i +0.8j) = 7.6i +0.8j

The magnitude of this velocity is the speed of the boat, relative to land. That is given by the Pythagorean theorem.

  |7.6i +0.8j| = √(7.6² +0.8²) = √58.4 ≈ 7.642 . . . . km/h

__

b) The angle of the total velocity with respect to the "i" direction (the direction of vector v) is ...

  α = arctan(0.8/7.6) ≈ 6.009°

__

c) The boat is headed in a direction 6° different from its velocity relative to the water. That may need to be accounted for if the boat is traveling any significant distance.

5 0
4 years ago
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