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2 years ago

Find the diameter of the object

Mathematics

1 answer:

UNO [17]2 years ago

7 0

Answer:

Step-by-step explanation:

The diameter of a circle is 2 times the radius. (the diameter is the length from an outer point in the circle, to one directly across)

In this case, the radius is 2.

So, 2 x 2 = 4.

The diameter is 4.

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How many different ways can you arrange 10 letters?

Sloan [31]

Multiply all of them together.10*9*8 and so on...
3,628,800 ways !

8 0

3 years ago

15 POINTS-

Doss [256]

I think it’s $3.55
I think this because if u subtract 2.45- 45% = 1.10 sooo u will have to add $1.10 to 2.25 and that will add up the 45% that Walmart is paying with the original price.

8 0

3 years ago

2. Carl needs 15 hours longer than Jennifer to paint a room. If they work together, they can complete the job in 4 hours. Explai

nasty-shy [4]

Answer:

Jennifer would complete the job on her own in 5 hours.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

$\Delta = b^{2} - 4ac$

Rates

The together rate is the sum of their separates rate.

We have that:

Jennifer takes x hours to complete the job on her own, so her rate is 1/x.

Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).

The together rate is 1/4. So

$\frac{1}{4} = \frac{1}{x} + \frac{1}{15+x}$

$\frac{1}{4} = \frac{15 + x + x}{x(15+x)}$

$\frac{1}{4} = \frac{15 + 2x}{x(15+x)}$

Applying cross multiplication.

$x^2 + 15x = 4(15 + 2x)$

$x^2 + 15x = 60 + 8x$

$x^2 + 7x - 60 = 0$

Quadratic equation with $a = 1, b = 7, c = -60$ . So

$\Delta = 7^{2} - 4*1*60 = 289$

$x_{1} = \frac{-7 + \sqrt{289}}{2} = 5$

$x_{2} = \frac{-7 - \sqrt{289}}{2} = -12$

Since the time to complete the job has to be a positive value.

Jennifer would complete the job on her own in 5 hours.

4 0

3 years ago

State the value of the discriminant for <br><br>y = <img src="https://tex.z-dn.net/?f=5x%5E2%2B9x-3" id="TexFormula1" title="5x^

Nostrana [21]

Answer:

141, meaning that there will be two real solutions

Step-by-step explanation:

The discriminant of a quadratic is $b^2-4ac$ , which in this case is:

$9^2-4(5)(-3)=81+60=141$

Since the discriminant is positive and not zero, there will be two real solutions to this equation. This is because when the discriminant is negative, and you take the square root of it, you get a negative number. If you take the square root of 0, you get 0, which means that there will only be one solution to the equation.

Hope this helps!

3 0

3 years ago

On average how fast did he drive in hours per mile

Sindrei [870]

Answer:

38 miles per hour

Step-by-step explanation:

<em>Simple just divide 342/9 to get 38</em>

4 0

3 years ago