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2 years ago

A quarter has a diameter of 2.4 centimeters. What is the area of the coin (round answer to nearest tenth)?

Mathematics

1 answer:

mafiozo [28]2 years ago

4 0

Answer:

4.5

Step-by-step explanation:

The equation of an area of a circle is A=πr² where r is the radius.

The radius is also half the diameter. So the radius of the quarter is 1.2

A=π(1.2)²

A=π(1.44)

A=4.52389

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SLOVE THIS QUESTION

eduard

The answer is 1561 yuans and 27 jiao.

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2 years ago

Enter the correct answer in the box. solve the equation x2 − 16x 54 = 0 by completing the square. fill in the values of a and b

poizon [28]

The roots of the given polynomials exist $x=8+\sqrt{10}$ , and $x=8-\sqrt{10}$ .

<h3>What is the formula of the quadratic equation?</h3>

For a quadratic equation of the form $a x^{2}+b x+c=0$ the solutions are

$x_{1,2}=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Therefore by using the formula we have

$x^{2}-16 x+54=0$$

Let, a = 1, b = -16 and c = 54

Substitute the values in the above equation, and we get

$x_{1,2}=\frac{-(-16) \pm \sqrt{(-16)^{2}-4 \cdot 1 \cdot 54}}{2 \cdot 1}$$

simplifying the equation, we get

$$&x_{1,2}=\frac{-(-16) \pm 2 \sqrt{10}}{2 \cdot 1} \\$

$$&x_{1}=\frac{-(-16)+2 \sqrt{10}}{2 \cdot 1}, x_{2}=\frac{-(-16)-2 \sqrt{10}}{2 \cdot 1} \\$

$$&x=8+\sqrt{10}, x=8-\sqrt{10}$

Therefore, the roots of the given polynomials are $x=8+\sqrt{10}$ , and

$x=8-\sqrt{10}$ .

To learn more about quadratic equations refer to:

brainly.com/question/1214333

#SPJ4

3 0

1 year ago

Read 2 more answers

10]The graph of a function is a line that passes through the coordinates (2, 11) and (8. 14).Which is an equation in terms of x

aksik [14]

We know that the graph of a function is a line that passes through the coordinates (2, 11) and (8, 14) and we must find the equation for the line.

1. We must use the next formula to find the slope

$m=\frac{y_2-y_1}{x_2-x_1}$

Where (x1, y1) and (x2, y2) are the points.

Now, replacing the points in the formula for the slope

$m=\frac{14-11}{8-2}=\frac{3}{6}=\frac{1}{2}$

2. We must replace the slope and one of the points in the next formula

$y-y_1=m(x-x_1)$

Now, replacing the slope and the point (2, 11)

$\begin{gathered} y-11=\frac{1}{2}(x-2) \\ \end{gathered}$

3. We must delete the parenthesis and solve the equation for y

$\begin{gathered} y-11=\frac{1}{2}x-\frac{1}{2}\cdot2 \\ y-11=\frac{1}{2}x-1 \\ y=\frac{1}{2}x-1+11 \\ y=\frac{1}{2}x+10 \end{gathered}$

ANSWER:

$y=\frac{1}{2}x+10$

8 0

11 months ago

What is the answer to 2(x-3)-4(x+3)

Lyrx [107]

Step-by-step explanation:

2 (x-3)-4 (x+3)

2x-6-4x-12
-2x-18
-2(x+9)

7 0

2 years ago

Read 2 more answers

Can someone solve and explain how to do these absolute equations for 40 points? I'll give brainliest to the best correct answer.

irga5000 [103]

Answer:

Explanation Below

Step-by-step explanation:

1. -4 + | x - 1 | = 3

= -4 + | x - 1 | + 4 = 3 + 4

= | x - 1 | = 7

= x - 1 = -7 or x - 1 = 7

= x = -6 or x = 8

2. 6 + 4 | 2x + 6| = 14

= 6 + 4 | 2x + 6 | - 6 = 14 - 6

= 4 | 2x + 6 | = 8

= 4 | 2x + 6 | / 4 = 8/4

= 2x + 6 = -2 or 2x + 6 = 2

= x = -4 or x = -2

3. -10 + | -6 - x | = 1

= -10 + | -6 + x | + 10 = 1 + 10

= | -6 - x | = 11

= -6 - x = -11 or -6 - x = 11

= x = -17 or x = 5

4. | 7 - 2x | + 4 = 5

= | 7 - 2x | + 4 - 4 = 5 - 4

= | 7 - 2x | = 1

= 7 - 2x = -1 or 7 - 2x = 1

= x = 3 or x = 4

Here are the Steps:

SOLVING EQUATIONS CONTAINING ABSOLUTE VALUE(S)

Step 1: Isolate the absolute value expression.

Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.

Step 3: Solve for the unknown in both equations.

Step 4: Check your answer analytically or graphically.

Hopes this Helps :D

Mark me Brainliest : )

4 0

2 years ago