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3 years ago

Can someone help ASAP. Please and thank you!!!

Mathematics

1 answer:

djyliett [7]3 years ago

6 0

Hey there! :)

Answer:

≈ $41330

Step-by-step explanation:

Begin by finding the area of the racetrack by subtracting the area of the smaller circle from the larger one.

Calculate the areas of the circles using: A = πr²

Larger circle:

A = π145²

A = 21025π = 66018.5 ft²

Smaller circle:

A = π80²

A = 6400π = 20096 ft²

Subtract the smaller from the larger of the areas:

66018.5 - 20096 = 45922.5 ft²

Divide this by 100 to solve for the amount of asphalt needed:

45922.5 / 100 = 459.225.

Since asphalt costs $90 dollars per 100 ft², then:

459.225 · 90 = $ 41330.25 ≈ $41330 rounded.

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The Jones family is planning a vacation. They will drive from Boston, MA to Tampa, FL (total of 1,336 miles) over 4 days. They w

Zarrin [17]

Answer:

The answer is 440 miles.

Step-by-step explanation:

You add up the miles that have already been driven and subtract them from the total number of miles. this will give you 440 miles.

5 0

3 years ago

Kendra bought a magazine for $3 and four paperback books for $5 each the expression 3 + 4 x 5 represents the total cost in dolla

Elodia [21]

I´m pretty sure that the terms would just be 3, 4, and 5. It depends what kind of problem it is.

3 0

3 years ago

Which of the following is the solution set of x² + 8x + 12 = 0?

raketka [301]

Answer:

$\fbox{\begin{minipage}{9em}x = -2 and x = -6\end{minipage}}$

Step-by-step explanation:

Given:

$x^{2} + 8x + 12 = 0$

Solve for:

$x$

Solution:

Step 1: Select the formula to solve for $x$

There are some ways to solve quadratic equations.

One of the simple way (if possible) is performing the factorization.

Another way is using the quadratic formula.

Here, we are going to use factorization.

Step 2: Perform factorization

$x^{2} + 8x + 12 = 0$

<=> $x^{2} + 2x + 6x + 12 = 0$

<=> $(x^{2} + 2x) + (6x + 12) = 0$

<=> $x(x + 2) + 6(x + 2) = 0$

<=> $(x + 2)(x + 6) = 0$

<=> $x = -2$ or $x = -6$

Hope this helps!

4 0

3 years ago

1. Determine a rule that could be used to explain how the volume of a

Eva8 [605]

Answer:

See explanation

Step-by-step explanation:

Solution:-

- We will use the basic formulas for calculating the volumes of two solid bodies.

- The volume of a cylinder ( V_l ) is represented by:

$V_c = \pi *r^2*h$

- Similarly, the volume of cone ( V_c ) is represented by:

$V_c = \frac{1}{3}*\pi *r^2 * h$

Where,

r : The radius of cylinder / radius of circular base of the cone

h : The height of the cylinder / cone

- We will investigate the correlation between the volume of each of the two bodies wit the radius ( r ). We will assume that the height of cylinder/cone as a constant.

- We will represent a proportionality of Volume ( V ) with respect to ( r ):

$V = C*r^2$

Where,

C: The constant of proportionality

- Hence the proportional relation is expressed as:

V∝ r^2

- The volume ( V ) is proportional to the square of the radius. Now we will see the effect of multiplying the radius ( r ) with a positive number ( a ) on the volume of either of the two bodies:

$V = C*(a*r)^2\\\\V = C*a^2*r^2$

- Hence, we see a general rule frm above relation that multiplying the result by square of the multiple ( a^2 ) will give us the equivalent result as multiplying a multiple ( a ) with radius ( r ).

- Hence, the relations for each of the two bodies becomes:

$V = (\frac{1}{3} \pi *r^2*h)*a^2$

$V = ( \pi *r^2*h)*a^2$

8 0

3 years ago

I neeeeeed help please!!!!!!!!!!!

Helga [31]

Answer:

Step-by-step explanation:

Its pretty easy math

6 0

3 years ago