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2 years ago

By which angle measures can the regular pentagon be rotated so it maps onto itself?

Mathematics

1 answer:

vazorg [7]2 years ago

5 0

Answer:

hi there the answer is 72

Step-by-step explanation:

sorry but my work is on a piece of paper in front of me

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F(x) = 3x - 3 <br> g(x) = 4x+5 <br> find (f•g) (3) <br><br> only numerical answers work

Andreas93 [3]

Answer:

48 bcoz u do 4(3)+5 do f(g) than for f(17) u do 3(17)-3

6 0

2 years ago

A safety regulation states that the maximum angle of elevation for a rescue ladder is 72°. A fire department's longest ladder is

Julli [10]

Answer:

The maximum safe rescue height is 104.6 feet above the height of the ground.

Step-by-step explanation:

Consider a triangle ABC where C is the point where the rescue ladder is standing and AB be the building and Ladder making an angle of 72° as shown.

We have to find the height of the building.

Let x be the height of building

Using Trigonometric ratio,

$\sin C=\frac{\text{Perpendicular}}{\text{Hypotenuse}}$

$\sin 72^{\circ}=\frac{AB}{BC}$

$\sin 72^{\circ}=\frac{x}{110}$

$x=110 \times \sin 72^{\circ}$

$x=104.6$

So, the maximum safe rescue height is 104.6 feet above the height of

the ground.

5 0

3 years ago

Read 2 more answers

A special liquid is held in a tank described as (x 2 + y 2 ) ≤ z ≤ 1 in a Cartesian coordinate system. Assume that the density o

vivado [14]

Since $\rho=\dfrac mV$ (density = mass/volume), we can get the mass/weight of the liquid by integrating the density $\rho(x,y,z)$ over the interior of the tank. This is done with the integral

$\displaystyle\int_{-1}^1\int_{-\sqrt{1-x^2}}^{\sqrt{1-x^2}}\int_{x^2+y^2}^1(2-z^2)\,\mathrm dz\,\mathrm dy\,\mathrm dx$

which is more readily computed in cylindrical coordinates as

$\displaystyle\int_0^{2\pi}\int_0^1\int_{r^2}^1(2-z^2)r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta=\boxed{\frac{3\pi}4}$

7 0

2 years ago

3a+2= -2n+3p solve for a

nataly862011 [7]

Answer:

Step-by-step explanation:

3a + 2 = -2n + 3p

3a = -2n + 3p - 2

a = (-2n+3p-2)/3

a = -2/3(n) + p - 2/3

8 0

3 years ago

Convert y-3=(1/3)(x+1) to slope intercept form

Mekhanik [1.2K]

Slope-intercept form is $y=mx+b$ , where m is the slope and b is the y-intercept.

Here, we first need to distribute the 1/3.

$y-3= \frac{1}{3} x+\frac{1}{3}$

Next, we add 3 to both sides of the equation.

$y= \frac{1}{3} x+\frac{10}{3}$

8 0

2 years ago