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goblinko [34]
2 years ago
14

On a​ map, 1 inch equals miles. Two houses are inches apart on the map. What is the actual distance between the​ houses? Use pen

cil and paper. Show how you can represent the scale with two different ratios.
Mathematics
1 answer:
dangina [55]2 years ago
7 0

Answer:

The actual distance between the houses is 18.9 miles.

Step-by-step explanation:

The exact question is as follows :

Given - On a​ map, 1 inch equals 5.4 miles. Two houses are 3.5 inches apart on the map.

To find - What is the actual distance between the​ houses?

Solution -

Given that,

1 inch = 5.4 miles

⇒3.5 inches = 3.5 × 5.4 miles

                 = 18.9 miles

∴ we get

The actual distance between the houses is 18.9 miles.

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What is the minimum number of angles required to determine the Cartesian components of a 3D vector and why?
Reika [66]

Answer: 3

Step-by-step explanation:

The 3D vector consists of 3 axes, let's say x, y and z.

Now, a vector P lies in all of them.

So, the angle it makes with x axis is α

The angle it makes with y axis is β

The angle it makes with z axis is γ

So, to determine the Cartesian components or to resolve the vector into it's Cartesian components we need 3 angles with each axis.

4 0
3 years ago
Someone please help me on this question ?:)
katrin2010 [14]

Answer: The TV is 48 inches wide.

Step-by-step explanation: To find the solution to this equation we must use the Pythagorean theorem. The Py. Theo. is basically the formula :

a^2 + b^2 = c^2    You say this as "A squared plus b squared equals c squared"

To use this formula you must plug in the given values of a and b, to find c. A and b represent the two bases of the triangle, while c is the hypotenuse. In this equation we already have the value of c and a. We need to find b, but in order to do that we use a different formula. We use : c^2 - a^2 = b^2

See :

52^2 - 20^2 = b^2       *The ^2 means "to the power of" aka an exponent*

2704 - 400 = b^2     *When dealing with ^2, all you do is multiply the number by itself*

2304 = b^2      *Next, we find the square root of our current number.*

48 = b    

*Another way to solve this equation is to memorize all the Pythagorean Triples. With that knowledge, you wont even need to use the formula because you will already know all three values. I hope this helped you understand :)



3 0
3 years ago
What is the product of 2r2 - 5 and 3r
faust18 [17]

Answer: 6r^3 - 15r

Step-by-step explanation:

(3r) (2r^2 - 5)

Distribute.

6r^3 - 15r

Hope this helped.

8 0
3 years ago
The height of a cylinder is 5 centimeters. The diameter of the base of the cylinder is 16 centimeters. Find the lateral surface
soldier1979 [14.2K]

Answer:

Lateral surface area of the cylinder =251.2 cm^2

Step-by-step explanation:

  Lateral surface area of he cylinder = 2*\pi*r*h  i.e area of side surface.

Height(h) = 5 cm

Diameter = 16 cm

radius(r)= 16/2= 8 cm

Lateral surface area of the cylinder = 2*\pi *8*5                        

                                                                         \pi =\frac{22}{7}=3.14

               L.S.A=  2*3.14*8*5

              L.S.A=  251.2 cm^2

The lateral surface area of the cylinder with radius 8 cm and height 5 cm is 251.2 cm^2

6 0
3 years ago
Simplify: (-4+√3)^2<br><br> 19 – 8√3<br> –5 –4√3<br> 19+8√3<br> 16 + 8√3
N76 [4]
It is a because when squared the product ensues as such so A Is the value
5 0
3 years ago
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