Aileen is decorating for the grand opening of the town's new courthouse. The entrance is marked by two stone columns that each stand 4.5
meters tall and a semicircular arch above the columns. She has a hung a 2-meter-long welcome banner between the two columns, and she
wants to line the entrance with a garland.
WELCOME!
2 m
4.5 m
If the garland will cover the inside edge of the entrance, from the bottom of the columns to the top of the arch, how many meters of
garland will Aileen need?

Answer:

8

Step-by-step explanation:

1/4 x 4/10 x 80/1 = 320/40 which is 8

Answer:

240

Step-by-step explanation:

Its kinda hard because I dont know the shape of which is width or height or legnth

Answer:

C 3,000

Step-by-step explanation:

the step is you would take 15% of 20,000 candy bars

Answer:

(2,-3)

Step-by-step explanation:

by elemination

2x + 2y = –2

3x – 2y = 12

cross out the 2y and -2y because the cancle each other.

that leaves 2x= -2

and             3x = 12.

simply add/subtract. 2x+3x=5x

                                  -2+12=10.

                                    5x=10

                                    x=2.

now for the y. we have x so all we have to do is plug.

take any equation.   2x + 2y = –2  and plug 2 into the x.

2(2)+ 2y = –2

4+2y= -2

-2-4= -6

2y=-6

y=-3.

put x and y into ordered pairs

(2,-3) and done.

easy peasy.

Answer:

x=2 y= -3

Step-by-step explanation:

2x+2y = -2

x+y = -1 (dividing both sides with 2

x+1 = -y

3x - 2y = 12

3x + (-y)(2) = 12

3x + (x+1)(2) = 12

3x+2x+2=12

5x+2=12

x=2

-y= 1+2

y= -3

Answer:

3.2 x 10^13

Step-by-step explanation:

(8x10^4)(4x10^8)

reorder the terms using the commutative property

(8x4)x(10^4x10^8)

multiply

32x (10^4 x 10^8)

= 32 x 10^4+8

= 32 x 10^12

now convert to scientific notation

=3.2 x 10^13

Answer:

a=π9² is the formula with the radius plugged in

radius is half

Answer:

243in^2

Step-by-step explanation:

18/2=9

3 x 9 x 9=243

Answer:

14. 9²

15. 10²

Step-by-step explanation:

----------------------

Answer:

n=1/6

Add the numbers

1

−

4

+

1

6

−

6

4

=

9

{\color{#c92786}{1}}{\color{#c92786}{-4}}+{\color{#c92786}{16}}-64n=9

1−4+16−64n=9

1

3

−

6

4

=

9

{\color{#c92786}{13}}-64n=9

13−64n=9

2

Rearrange terms

1

3

−

6

4

=

9

{\color{#c92786}{13-64n}}=9

13−64n=9

−

6

4

+

1

3

=

9

{\color{#c92786}{-64n+13}}=9

−64n+13=9

3

Subtract  

1

3

13

13

from both sides of the equation

−

6

4

+

1

3

=

9

-64n+13=9

−64n+13=9

−

6

4

+

1

3

−

1

3

=

9

−

1

3

-64n+13{\color{#c92786}{-13}}=9{\color{#c92786}{-13}}

−64n+13−13=9−13

4

Simplify

Subtract the numbers

Subtract the numbers

−

6

4

=

−

4

-64n=-4

−64n=−4

5

Divide both sides of the equation by the same term

−

6

4

=

−

4

-64n=-4

−64n=−4

−

6

4

−

6

4

=

−

4

−

6

4

\frac{-64n}{{\color{#c92786}{-64}}}=\frac{-4}{{\color{#c92786}{-64}}}

−64−64n​=−64−4​

6

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

1

1

6

The value of × that satisfies the equation 243× = 73 is approximately 0.6691.

To solve the equation 243× = 73, where × represents the base of the number, we need to determine the value of × that satisfies the equation.

We can start by rewriting the equation as an exponential equation:

243ˣ= 73

To solve for ×, we need to isolate × on one side of the equation. We can do this by taking the logarithm of both sides of the equation. Let's take the logarithm with base 10 (log) for simplicity:

log(243ˣ) = log(73)

Applying the logarithmic property, we can bring down the exponent × as a multiplier:

× * log(243) = log(73)

Now, we can solve for × by dividing both sides of the equation by log(243):

× = log(73) / log(243)

× ≈ 0.6691

Therefore, the value of × that satisfies the equation 243× = 73 is approximately 0.6691.

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Answer:

Use this formula

[tex] \frac{4}{3} \pi \times {r}^{3}[/tex]

Answer will be option A

Process:

V= [tex] \frac{4}{3} \pi \times {r}^{3}[/tex]

   = 4/3 *[tex]\pi }[/tex]*[tex]8^{3}[/tex]

   =[tex]\frac{2048\pi }{3}[/tex]

   =2144.66[tex]m^{3}[/tex]

Answer:

A. 25 cm^3.

Step-by-step explanation:

Volume = 1/3 * area of base * perpendicular height,

= 1/3 * 5^2 * 3

= 5^3

= 25.

The correct option is A. Volume of the pyramid is 25 cm³ which is option A.

What is the volume of the pyramid?

The volume of a pyramid is given by lbh/3. It is also given by the product of the base area and height of the pyramid and then divided by 3.

The base of the pyramid is in the form of a square as all sides are 5 cm. Find the area of the square that is the base area.

5×5=25 cm²

Now multiply 25 by the height of the pyramid which is 3 cm.

25×3=75 cm³

Divide 75 by 3 to find the volume of the pyramid.

75÷3=25 cm³

Thus, the volume of the pyramid is 25 cm³ which is option A.

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Answer:

$45.36

Step-by-step explanation:

1 dinar = $1.4

32.4=?

32.4*1.4

$45.36

Answer: x = 8 y = 4 or C

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete; So, I will solve generally

Required

Quotient of two terms where 1 has a coefficient of 8

The quotient (Q) of a and b can be represented as:

[tex]Q = \frac{a}{b}[/tex]

Where a and b are the terms

For a or b to have a coefficient of 8, then a or b must be

[tex]a\ or\ b = 8x[/tex]

Where x is the variable

So, the quotient can be expressed as any of:

[tex]Q = \frac{8x}{y}[/tex]

[tex]Q = \frac{z}{8i}[/tex]

[tex]Q = \frac{24b}{8c}[/tex]

As long as one of the terms has a coefficient of 8

Answer:

1/4

Step-by-step explanation:

1/2 x 1/2

Answer:

the interest received is $957.03

Step-by-step explanation:

Given that

The invested amount is $10,000

There is 18 months

And, the interest rate is 6.25%

= (($10,000 × (1 + 6.25% ) × 0.0625  × 6 months ÷ 12 months)) + ($10,000 × 6.25%)

= $332.03 + $625

= $957.03

Hence, the interest received is $957.03

Answer:

2x-2 = 23

2x = 25

x=25/2 = 12.5

Step-by-step explanation:

Answer:

[tex] \frac{3(x + 1)}{ {(x + 1)}^{2} } \\ = \frac{3(x + 1)}{(x + 1)(x + 1)} \\ = \frac{3}{(x + 1)} [/tex]

Answer:

3(x+1)/2(x+1)

here ,(x+1) gets cancel

so answer is 3/2

Step-by-step explanation:

Answer:

.01*.5ˣ

Step-by-step explanation:

we can see that x=0 y= .01

so in our equation

a*bˣ

a=.01

This is throuhg plugging in 0 for x

a*b⁰=.01

a*1=.01

a=.01

Now it's just a matter of finding b

to do this just plug in a value

we know that when x=1 y=.005

.01*b¹=.005

b= .5

So our final equation is :  .01*.5ˣ

Answer:

(Xm, Ym) = [ x1+x2/2, y1 + y2/2]

Given (6,3) (-3,-7)

x1 y1 x2 y2

Step-by-step explanation:

(Xm,Ym) =[ 6-3/2, 3-7/4]

= [ 3/2, -1]

Answer:

2.1 pounds

Step-by-step explanation:

Given that :

Number of baseballs = 7

Weight of each baseball = 0.3 pounds

1 block = 0.1 pounds

Hence, each ball will represent 0.3 / 0.1 = 3 blocks

Hence, 3 blocks = 1 ball

7 balls will be : 3 * 7 = 21 blocks

Recall:

1 block = 0.1

Hence, 0.1 * 21 = 2.1

Therefore, the weight of the 7 balls = 2.1 pounds

Answer: [tex]c-56[/tex]

Step-by-step explanation:

Given

Luna has c caramel

Her sister took 56 caramel

The number of caramel luna has left is the subtraction of initial and 56 i.e.

[tex]\Rightarrow c-56[/tex]

Answer:

37

Step-by-step explanation:

Answer:

Each Towel is 4.95 each

Step-by-step explanation:

We can use 8t = 39.60 as our equation

8t = 39.60

Divide 8 on both sides.

t = 4.95

Hope this helps! ^^

Answer:

-5.5.

Step-by-step explanation:

The negative numbers are less than the positive and -5.5 is less than -5.

Answer:

the probability the octahedron will land on A is 3/8

the probability the octahedron will land on B is 1/8

the probability the octahedron will land on C is 4/8 or 1/2

Step by Step explanation:

All u have to do to figure this out is to first count the total amount of letters and in this case there are 8. To find the probability of a specific letter, you have to count how many of that letter there is in the total of 8. For example the letter A's probability is 3/8 since there are 3 A's and 8 letters in total.

hope this helps!!