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Natasha2012 [34]

3 years ago

5

A map has a scale of 1 cm : 20 km. Two cities are 2.5 cm apart on the map. To the nearest tenth of a kilometer, what is the actu

al distance correponding to the map distance? Label your solution.

1 answer:

Pachacha [2.7K]3 years ago

6 0

50 Km

1 cm → 20 Km

2.5 cm → 20 × 2.5 = 50 Km

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Rewrite in simplest radical form square root of x times the fourth root of x. Show each step of your process.

Ipatiy [6.2K]

Answer:

$\sqrt[4] {x^3}$

Step-by-step explanation:

At this point, we can transform the square root into a fourth root by squaring the argument, and bring into the other root:

$\sqrt x \cdot \sqrt[4] x =\sqrt [4] {x^2} \cdot \sqrt[4] x = \sqrt[4]{x^2\cdot x} = \sqrt[4] {x^3}$

Alternatively, if you're allowed to use rational exponents, we can convert everything:

$\sqrt x \cdot \sqrt[4] x = x^{\frac12} \cdot x^\frac14 = x^{\frac12 +\frac14}= x^{\frac24 +\frac14}= x^\frac34 = \sqrt[4] {x^3}$

5 0

2 years ago

Pls help It’s due tomorrow question is in the picture

Slav-nsk [51]

Answer:

C

Step-by-step explanation:

Let's find the area of each of the two circles.

First Circle:

The first circle has a diameter of 10 inches. That means the radius is 5 inches. So, its area is:

$A=\pi r^2\\A=\pi (5)^2\\A=25\pi$

Second Circle:

The second circle has a diameter twice that of the first. So, the diameter is 20 inches. This means that the radius is 10 inches. Find the area:

$A=\pi r^2\\A=\pi (10)^2\\A=100\pi$

Now, find the ratio between them by dividing:

$\frac{\text{Smaller}}{\text{Larger}}=\frac{25\pi}{100\pi}$

Simplify:

$\frac{\text{Smaller}}{\text{Larger}}=\frac{1}{4}$

1/4 is the same as 1:4

So, our answer is C :)

5 0

4 years ago

a 20 cm nail just fits inside a cylindrical can. three identical spherical balls need to fit entirely within the can. what is th

DIA [1.3K]

The maximum radius of each ball is 3.33 cm.

<h3>What is a Cylinder?</h3>

A cylinder is a three-dimensional figure which is made of two parallel circular bases separated at a certain distance by a curved surface of the same radius as that of the bases.

A 20 cm nail perfectly fits the cylinder.

So the height of the cylinder = 20cm.

A sphere is a three-dimensional geometrical figure analogous to a circle. All the points of the sphere are at the same distance from the center.

If 3 spheres have to be fitted inside the cylinder,

The sum of the diameter of the spheres will be equal to the height of the cylinder.

The spherical balls are identical and so will have the same diameter

Let the maximum diameter of the sphere that can fit in the cylinder is d cm

Then,

d + d + d = 20

3d = 20

d = 20/3 = 6.67 cm

r = 3.33 cm

The maximum radius that the spheres can have to fit in the cylinder is 3.33 cm.

To know more about Cylinder

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5 0

1 year ago

If your dogs heart rate is 90 times per minute how many times would it beat in an hour?

Inga [223]

Answer:5400

Step-by-step explanation: 1 hour is 60 minutes, so 90 * 60 = 5400

7 0

3 years ago

Read 2 more answers

. Curt is installing a picket fence around his garden which is 45.45 ft by 14.63 ft. When he gets to the hardware store he finds

Dmitriy789 [7]

The fence must have two sides of length 45.45 ft and two sides of length 14.63

To cover each of 45.45 ft long side, he will need 45.45 / 2 = 22.7 slats which approximates to 23. So, they are 2 * 23 = 46 slats.

To cover each of 14.63 ft sides, he will need 14.63 / 2 = 7.3 which approximates to 8 (to not leave any spaces between each slat). So, they are 2 * 8 = 16 slats.

That makes 46 + 16 = 62 slats.

Answer: around 62 slats.

5 0

4 years ago