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3 years ago

List four rational numbers between -2 and -1?

Mathematics

1 answer:

rosijanka [135]3 years ago

8 0

Answer:

See below.

Step-by-step explanation:

The 4 might be:

-1.9 - 3/2 , -1.8 and - 9/8.

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A basketball is shaped like a sphere as shown in the diagram. The basketball has a radius of 4.7 inches.

VMariaS [17]

Answer:

434.9

Step-by-step explanation:

The circumference is 29.53.

Hope that this helps!

7 0

2 years ago

Find the area of the triangle.

Vsevolod [243]

Answer:

20 m²

Step-by-step explanation:

Formula (Area of triangle):

$\text{A (Triangle)} = \dfrac{1}{2} \times \text{Base} \times \text{Height}$

From the triangle, we can see that the base of the triangle is "7 + 3" m and the height of the triangle is "4" m.

$\implies \text{A (Triangle)} = \dfrac{1}{2} \times (7 + 3) \times (4)$

Simplify the right-hand-side as needed to evaluate the area.

$\implies \text{A (Triangle)} = \dfrac{1}{2} \times (10) \times (4)$

$\implies \text{A (Triangle)} = \dfrac{40}{2} = 20 \ \text{m}^{2}$

Therefore, the area of the provided triangle is 20 m².

Learn more about this topic: brainly.com/question/15442893

8 0

2 years ago

Simplify CLEAR Step By Step Explanation Please. Will Mark Brainliest

siniylev [52]

Answer:

1/x+5

Step-by-step explanation:

1. Rewrite 3x as a difference

x-2/x^2 + 5x-2 - 10

2. Factor out x from the equation, then factor out -2.

x-2/ x+(x+5) - 2(x+5)

3. Factor out x+5 from the expression

x-2/ (x+5)(x-2)

4. Reduce the fraction with x-2

x-2 / (x+5) x-2

1/x+5

8 0

3 years ago

2x-3y=8 solve for y I don't understand this at all can someone please help??

suter [353]

You can't find the exact value of y, but you can find y in terms of x!

Adding 3y and subtracting 8 from both sides, we have:

2x-3y+3y-8=8+3y-8

2x-8=3y

Dividing by 3, we see that y=(2x-8)/3. This is the simplest form we can find for y.

3 0

3 years ago

Find x? In 3x - In(x - 4) = ln(2x - 1) +ln3

earnstyle [38]

Answer:

$x = \displaystyle \frac{5 + \sqrt{17}}{2}$ .

Step-by-step explanation:

Because $3\, x$ is found in the input to a logarithm function in the original equation, it must be true that $3\, x > 0$ . Therefore, $x > 0$ .

Similarly, because $(x - 4)$ and $(2\, x - 1)$ are two other inputs to the logarithm function in the original equation, they should also be positive. Therefore, $x > 4$ .

Let $a$ and $b$ represent two positive numbers (that is: $a > 0$ and $b > 0$ .) The following are two properties of logarithm:

$\displaystyle \ln (a) + \ln(b) = \ln\left(a \cdot b\right)$ .

$\displaystyle \ln (a) - \ln(b) = \ln\left(\frac{a}{b}\right)$ .

Apply these two properties to rewrite the original equation.

Left-hand side of this equation:

$\begin{aligned}&\ln(3\, x) - \ln(x - 4)= \ln\left(\frac{3\, x}{x -4}\right)\end{aligned}$

Right-hand side of this equation:

$\ln(2\, x- 1) + \ln(3) = \ln\left(3 \left(2\, x - 1\right)\right)$ .

Equate these two expressions:

$\begin{aligned}\ln\left(\frac{3\, x}{x -4}\right) = \ln(3(2\, x - 1))\end{aligned}$ .

The natural logarithm function $\ln$ is one-to-one for all positive inputs. Therefore, for the equality $\begin{aligned}\ln\left(\frac{3\, x}{x -4}\right) = \ln(3(2\, x - 1))\end{aligned}$ to hold, the two inputs to the logarithm function have to be equal and positive. That is:

$\displaystyle \frac{3\ x}{x - 4} = 3\, (2\, x - 1)$ .

Simplify and solve this equation for $x$ :

$x^2 - 5\, x + 2 = 0$ .

There are two real (but not rational) solutions to this quadratic equation: $\displaystyle \frac{5 + \sqrt{17}}{2}$ and $\displaystyle \frac{5 - \sqrt{17}}{2}$ .

However, the second solution, $\displaystyle \frac{5 - \sqrt{17}}{2}$ , is not suitable. The reason is that if $x = \displaystyle \frac{5 - \sqrt{17}}{2}$ , then $(x - 4)$ , one of the inputs to the logarithm function in the original equation, would be smaller than zero. That is not acceptable because the inputs to logarithm functions should be greater than zero.

The only solution that satisfies the requirements would be $\displaystyle \frac{5 + \sqrt{17}}{2}$ .

Therefore, $x = \displaystyle \frac{5 + \sqrt{17}}{2}$ .

7 0

3 years ago

List four rational numbers between -2 and -1?​

List four rational numbers between -2 and -1?