All categories

3 years ago

Work out the area of this circle give answer to 2 decmial places d = 9

Mathematics

1 answer:

vesna_86 [32]3 years ago

7 0

Answer:

64 is the answer

the formula for area of circle is A= πr2

so the value of r would be 4.5 as the diameter is 9

You might be interested in

Solve using the quadratic formula:

timurjin [86]

Answer:

$\boxed{x_1 = \frac{7 + \sqrt{5} }{2} ~~or~~x_2 = \frac{7 - \sqrt{5} }{2} }$

Step-by-step explanation:

$x^2 - 7x + 11 = 0$

$x^2 - 7x = -11$

$(x - \frac{7}{2} )^2 - \frac{49}{4} = -11$

$(x - \frac{7}{2} )^2 = -11 + \frac{49}{4}$

$(x - \frac{7}{2} )^2 = \frac{5}{4}$

$x - \frac{7}{2} = \pm \sqrt{\frac{5}{4}}$

$x = \frac{7 \pm \sqrt{5} }{2}$

3 0

3 years ago

What is two numbers that multiply to 24 but add to 25?

lesya [120]

X, y - the numbers

$xy=24 \\
x+y=25 \\ \\
\hbox{solve the second equation for y:} \\
x+y=25 \\
y=25-x \\ \\
\hbox{substitute 25-x for y in the first equation:} \\
x(25-x)=24 \\
25x-x^2=24 \\
-x^2+25x-24=0 \\
-x^2+24x+x-24=0 \\
-x(x-24)+1(x-24)=0 \\
(-x+1)(x-24)=0 \\
-x+1=0 \ \lor \ x-24=0 \\
x=1 \ \lor \ x=24 \\ \\
y=25-x \\
y=25-1 \ \lor \ y=25-24 \\
y=24 \ \lor \ y=1$

The numbers are 1 and 24.

6 0

4 years ago

Solve the equation for the variable. Show all work. 14 x – 21 = 49

Lubov Fominskaja [6]

x=5

14x5= 70

70-21=49

this is how I got the answer

8 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=Tanx%20%3D%202%2F3" id="TexFormula1" title="Tanx = 2/3" alt="Tanx = 2/3" align="absmiddle" cla

zlopas [31]

The answer for x is 33.69°.

4 0

3 years ago

Mary McDonald makes mugs in Miami. She makes two sizes of mugs: a small mug that she sells for $2.50 and a large mug that she se

IrinaVladis [17]

Mary McDonald sold 11 small mugs and 10 large mugs.

Step-by-step explanation:

Given,

Total cost of sold cups = $85

Cost of one small cup = $2.50

Cost of one large cup = $5.75

Cups at the start of day = 215

Cups at the end of day = 194

Cups sold = Cups at the start of day - Cups at end of day

Cups sold = 215 - 194 = 21

Let,

x represents the number of small cups.

y represents the number of large cups.

According to given statement;

x+y=21 Eqn 1

2.50x+5.75y=85 Eqn 2

Multiplying Eqn 1 by 2.50

$2.50(x+y=21)\\2.50x+2.50y=52.50\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(2.50x+5.75y)-(2.50x+2.50y)=85-52.50\\2.50x+5.75y-2.50x-2.50y=32.50\\3.25y=32.50$

Dividing both sides by 3.25

$\frac{3.25y}{3.25}=\frac{32.50}{3.25}\\y=10$

Putting in Eqn 1

$x+10=21\\x=21-10\\x=11$

Mary McDonald sold 11 small mugs and 10 large mugs.

Keywords: linear equation, subtraction

Learn more about linear equations at:

#LearnwithBrainly

7 0

3 years ago