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4 years ago

9

A circular pond 26 yd in diameter is surrounded by a gravel path 2 yd wide. The path is to be replaced by a brivk walk costing $

50 per square yard. Hiw much will the walk cost?

1 answer:

sattari [20]4 years ago

5 0

Your answer will be 8450.

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Which sphere has a volume of 0.288Pi in.3? A sphere with radius 0.4 inches. A sphere with radius 0.5 inches. A sphere with radiu

worty [1.4K]

<em>C. A sphere with radius 0.6 inches.</em>

<u><em>Here is why:</em></u>

The equation for the volume of a sphere is:

$V=\frac{4}{3} \pi r^3$

We can plug in and solve.

$V=\frac{4}{3}*\pi *0.6*0.6*0.6$

We will multiply everything but leave the 3 to divide later.

So...

$4*\pi *0.6*0.6*0.6=0.864\pi$

Divide by 3.

$0.864\pi /3=$

0.288π

5 0

3 years ago

Read 2 more answers

The volume of a rectangular prism is 2x^3+9x^2-8x-36 with height x + 2. Using synthetic division, what is the area of the base?

navik [9.2K]

Answer:

Area of the base = $2x^2+5x-18$

Step-by-step explanation:

We know that volume of rectangular prism = (Area of base) x (Height)

or [Area of base] = [Volume]/[Height]

So basically we need to divide given area by given height to find the answer.

given height is (x+2) that means (x+2) must be factor of volume equation

or x=-2 must be root of volume equation so write down coefficients of volume equation then we divide by -2 as shown in attached picture.

Last digit on the right is always remainder.

Remaining coefficients {2, 5, -18} will give the area equation: $2x^2+5x-18$

Hence final answer is:

Area of the base = $2x^2+5x-18$

5 0

3 years ago

ANSWER QUICKLY!!!!!

Paul [167]

Answer:

1. The possible roots are ±1, ±2, ±3, ±6. These are the factors of the trailing constant (6) divided by the factors of the leading coefficient (1). When the leading coefficient is 1, the possible roots are the factors of the constant

2. The polynomial is easier to evaluate when it is written in Horner form:

f(x) = ((x -4)x +1)x +6

To show that 2 is a zero, we want to find f(2):

f(2) = ((2 -4)2 +1)2 +6 = (-4 +1)2 +6 = -6 +6 = 0

f(2) = 0, so 2 is one of the zeros of this function

3. Using synthetic division (attached) or polynomial long division, we can divide the given polynomial by (x-2) to find the remaining factors. This division gives (x^2 -2x -3), which can be factored as (x -3)(x +1), so the three actual roots are ...

x = 2 (from above), x = 3, x = -1 (from our factorization)

4. In factored form, the polynomial can be written ...

f(x) = (x +1)(x -2)(x -3)

The first factor was found from the fact that 2 was given as a zero of the function. For any zero "a", a factor of the polynomial is (x-a).

The remaining factors were found by factoring the quadratic trinomial that resulted from the division of f(x) by x-2. That trinomial is x^2 -2x -3.

There are a number of methods that can be used to factor x^2 -2x -3. Again, the rational root theorem can help. It suggests that ±1 and ±3 are possible roots.

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2 years ago

Kaya rented a limousine for prom. There was a one-time charge of $100 plus an hourly rate of the total

kherson [118]

Answer:

3 hours

Step-by-step explanation:

it is $100 for 1 hour right. Ok so forget about the hourly rates. Then you are left with $300. $300 total÷100 per hour = 3 hours.

3 0

3 years ago

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A recipe that serves 8 calls for 1 1/2 pounds of ground beef. How many pounds are needed to serve 12?

tigry1 [53]

Answer:2 1/4 pounds

7 0

3 years ago

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