NEED ASAP: Carlos builds a robot that moves on small wheels. Each wheel has six 5-inch-long metal spokes that meet in the center. What is the area of the sector between these spokes? Express your answer as a simplified fraction in terms of \piπ.

Answer:

See below

Step-by-step explanation:

Sum of ingredients = sum of final solution

.50 x      where x =   50 percent amount    then 40 - x = 18% amount

.50 x    + .18(40 - x)   =   .30 ( 40 )

.50 x   + 7.2 - .18x  =   12

.32x  = 4.8

x = 15 L of 50%     25 liters of 18%

The regular polygon must have 12 sides so the smallest angle of rotational symmetry is 30°

We know that the smallest angle of rotational symmetry is 30°, then the exterior angles must measure that.

Remember that the sum of the exterior angles of a regular polygon must be equal to 360°, then we have:

360° = n*30°

Where n is the number of sides

Solving for n we get:

n = 360°/30° = 12

We conclude that the regular polygon has 12 sides.

If you want to learn more about regular polygons:

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Answer: B. 12

Step-by-step explanation: On Edge!!!

Answe

about 30-45 Percent.

Step-by-step explanation:

Answer:

15/40 or simplified 3/8

Step-by-step explanation:

Answer: The student may overestimate support for a plastic bag ban because the wording of the question may influence adults to support a ban.

Step-by-step explanation:

Answer:

13188mm^2

Step-by-step explanation:

D=60mm
H=136mm
L=140mm
then v=1/3xd^2x h= 1/3x3.14x60^2x136
SA=tc pl/2
=3.14x60x140= 13188mm^2
hope this helps!

Step-by-step explanation:

V=1/3hπr².

(h=3cm, r=5²cm

V= 1/3 x 3 x π x 5²

V= 25π

Answer:

See below ~

Step-by-step explanation:

Answer:

[tex]a=\sqrt[3]{\frac{27}{64}} = 0.75[/tex]

edge length = 0.75

Equation: [tex]a=\sqrt[3]{V}[/tex]

Answer:

104, with the assumption that "an alphabet" is the English alphabet

Step-by-step explanation:

26*4

Answer:

y>1/3x-3

Step-by-step explanation:

The slope for this equation is 1/3x-3. Because the line is dashed, we know that we're dealing with either < or >. The shading goes upwards, so it's greater than. That means, we would get y>1/3x-3.

Hope this helps!

Answer: B. 288m 2

Step-by-step explanation:

A = 2 (wl+hl+hw)

2 · (4 · 16 + 4 · 16 +4 · 4) = 288m 2

Answer:

445455

Step-by-step explanation:

Answer:

A 9.47% discount was given

Step-by-step explanation:

The question is asking us to find how much percent of 475 is 45. Therefore we do the following:

[tex] \frac{45}{475} \times \frac{100}{1} = \frac{4500}{475} [/tex]

after dividing we get 9.473 which is approximately 9.47%

To check if what we got is correct we do the opposite and instead find 9.47% of 475.

[tex] \frac{475}{1} \times \frac{9.47}{100} = \frac{4498.25}{100} [/tex]

After dividing we find that is equal to 44.98 which is approximately 45.

Answer:

168 inches

Step-by-step explanation:

To find the fence made each day by Libby, we will divide 56 by 4.

convert the length of fence into inches.

1 foot = 12 inches.

Answer:

477.28cu m

Step-by-step explanation: R (8) x3.14 (pi) is 25.12,  25.12x19=477.28

Answer:

11t² + 7t + 3

Step-by-step explanation:

⇒ (5t² + 4) - (6t² - 7t + 1)

⇒ 5t² + 4 - 6t² + 7t - 1

⇒ 11t² + 7t + 3

Answer:  [tex]-t^2 + 7t + 3\\\\[/tex]

Work Shown:

[tex](5t^2 + 4) - (6t^2 - 7t + 1)\\\\5t^2 + 4 - 6t^2 + 7t - 1\\\\(5t^2 - 6t^2) + 7t + (4-1)\\\\-t^2 + 7t + 3\\\\[/tex]

The initial angular velocity of the star will be [tex]w=2.4\times 10^{-6} \ \frac{rad}{sec}[/tex].

Angular velocity refers to how fast an object rotates or revolves relative to another point. It is a rate of change of angle.

Here for the 30 days period the angular velocity will be calculated as:

[tex]W=\dfrac{2\pi}{T}=\dfrac{2\times \pi}{30\times 24\times 3600}=2.4\times 10^{-6} \ \frac{rad}{sec}[/tex]

So the initial angular velocity of the star will be [tex]2.4\times 10^{-6} \frac{rad}{sec}[/tex]

To know more about Angular velocity follow

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If 10 inches is equal to 25.4 centimeters. Then the 45 inches will be equal to 114.3 centimeters.

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two things are equal.

A 10 inches long piece of string is approximately 25.4 centimeters long.

If the length of the string is 45 inches. Then the length in cm will be

Let x be the length. Then we have

x/45 = 25.4/10

    x = 114.3 cm

More about the ratio and the proportion link is given below.

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To write the equation in standard form

 ⇒ must know the standard form:

    ⇒ Ax + By = C

       ⇒ essentially move all the variables to one side and constant to

            the other

Let's solve:

 [tex]y = 3x + 4\\-3x+y=4[/tex]

Standard form: [tex]-3x+y=4[/tex]

Answer: [tex]-3x+y=4[/tex]

Hope that helps!

Answer:

Answer: 3, 3 of them are translated

Answer:

B. 3 triangles are congruent to ABC

Step-by-step explanation:

From the picture, triangle ABC is not a right triangle. The length of AB is graphed with a length of 4. From point C to segment AB is a height of 3. The triangle in quadrant I (top right) has both of these dimensions.

Similarly, the triangle on the x-axis (positive side) below it (between Q1 and Q4) is also congruent to ABC.

The triangle fully in quadrant III (bottom left) is congruent to ABC with a height of 3 and base length of 4.

The triangle in the bottom right corner (Q4) has a height of 4, therefore it is not congruent to ABC which has a height of 3.

The triangle on the x-axis (negative left side) is also not congruent to ABC. It may have a height of 3 and base length 4, but the angles are different which means the other side lengths don't correspond to ABC.

[+ I'm not sure if your teacher would consider this a real answer but I figured I'd mention that in proofs tri.ABC is also congruent to tri.ABC.]

Answer: heyaa!!

Step-by-step explanation:

Simplify the expression.

Hopefully this helps you <3

- Matthew :)

Answer:

x = 12

Step-by-step explanation:

In order for these lines to be parallel:

5x = 4x + 12

x = 12

Hope this helps

Answer:

Do not put A and I more than once, we already measured it before.

10 letters in all

Find how many there are per letter

C - 1/10

A - 2/10

L - 1/10

I - 2/10

F - 1/10

O - 1/10

R - 1/10

N - 1/10

Hi Student!

The first step that we need to take to solving this problem (and almost any problem), is to concentrate the important information for the problem that is provided.  Looking at the problem we can see that we are trying to determine what the length of the radius is.  In order to solve this problem we are provided with the area of a sector of 361.6 meters squared and a central angle of 288 degrees.

Now that we have the important information taken care of, we can move onto the part of actually solving the problem.  We must first convert our degrees to radians because the equation that we will be using can only use radians for the angle and not degrees.  We can simply convert our angle to radians by multiplying it by π/180.

[tex]288\ degrees\ *\ \frac{\pi }{180\ degrees}[/tex]

[tex]288\ degrees\ *\ \frac{3.14}{180\ degrees}[/tex]

[tex]\frac{288\ degrees\ *\ 3.14}{180\ degrees}[/tex]

[tex]5.024\ radians[/tex]

After completing this step, we have converted our degrees to radians and now we can move onto the step where we plug in our information into an equation and solve for our unknown.

[tex]Sector\ Area = radius^2\ *\ \frac{angle}{2}[/tex]

[tex]361.6\ m^2 = radius^2\ *\ \frac{5.024}{2}[/tex]

[tex]361.6\ m^2 = radius^2\ *\ 2.512[/tex]

[tex]\frac{361.6\ m^2}{2.512} = \frac{radius^2\ *\ 2.512}{2.512}[/tex]

[tex]143.949\ m^2 = radius^2[/tex]

[tex]\sqrt{143.949\ m^2} = \sqrt{radius^2}[/tex]

[tex]12\ m = radius[/tex]

Therefore, after solving our equation for our unknown, we can see that our radius is really close to 12 meters (so we can just round up as the problem stated).