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3 years ago

A scale on a map shows that 2 inches equals 25 miles. How many miles is represented by 1/4 inch on the map?

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

8 0

3.125

to get this answer you divide 25 by 2, then divide that by 4, which equals 3.125

good luck hope I helped:)

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The Ferris wheel has a radius of 70 feet. The distance between the wheel and the ground is 4 feet. The rectangular coordinate sy

Gemiola [76]

Answer:

x² + (y-74)² = 4900

Step-by-step explanation:

Circle equation: (x-h)² + (y-k)² = r²

"h" refers to horizontal shifts while "k" refers to vertical shifts. If the center of the wheel is directly above the origin of the rectangular plane and the entire wheel is 4 ft. from the ground then:

h = 0
k = 74 (the radius + 4 ft.)
r = 70

So plugging those into the equation of circles, we get the answer above.

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3 years ago

I'll give u full brainlist if u do this!

alex41 [277]

Answer:

a. 54.75

b. 2.64

Step-by-step explanation:

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3 years ago

A homogeneous rectangular lamina has constant area density ρ. Find the moment of inertia of the lamina about one corner

frozen [14]

Answer:

$I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)$

Step-by-step explanation:

By applying the concept of calculus;

the moment of inertia of the lamina about one corner $I_{corner}$ is:

$I_{corner} = \int\limits \int\limits_R (x^2+y^2) \rho d A \\ \\ I_{corner} = \int\limits^a_0\int\limits^b_0 \rho(x^2+y^2) dy dx$

where :

(a and b are the length and the breath of the rectangle respectively )

$I_{corner} = \rho \int\limits^a_0 {x^2y}+ \frac{y^3}{3} |^ {^ b}_{_0} \, dx$

$I_{corner} = \rho \int\limits^a_0 (bx^2 + \frac{b^3}{3})dx$

$I_{corner} = \rho [\frac{bx^3}{3}+ \frac{b^3x}{3}]^ {^ a} _{_0}$

$I_{corner} = \rho [\frac{a^3b}{3}+ \frac{ab^3}{3}]$

$I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)$

Thus; the moment of inertia of the lamina about one corner is $I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)$

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3 years ago

Write the slope-intercept form of the equation of the line through the given point and slope.

Mandarinka [93]

Answer:

y=-4x+1

Step-by-step explanation:

Graph (1,-3)

Go down 4 over one/ up left one

Get y-intercept

Then BOOM you got it

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2 years ago

What is the value of the expression below when x equals 4?<br><br> 13 + 15x

antoniya [11.8K]

Answer:

Step-by-step explanation:

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3 years ago

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