Which expressions are equivalent to the given expression?
√80

Answer:

20.25 × pi cm²

Step-by-step explanation:

the circumference of a circle is

2×pi×r

with r being the radius.

in our case

9×pi = 2×pi×r

9 = 2r

r = 9/2 = 4.5 cm

the area of a circle is

pi×r²

in our case that is

pi×(4.5)² = 20.25 × pi cm²

Answer:

Option A

Step-by-step explanation:

Step 1:  Compare the sides

We can see that it was rotated in a way where Y is similar to R, X is similar to Q, and Z is similar to S.

[tex]\frac{SQ}{XZ }\neq \frac{QR}{XY} \neq \frac{RS}{YZ}[/tex]

[tex]\frac{0.5}{1}\neq \frac{1}{1.5}\neq \frac{1.5}{2}[/tex]

[tex]0.5\neq 0.6667\neq 0.75[/tex]

Answer:  Option A

Answer: 0.066, or a 6.6% Statistical Probability.

Step-by-step explanation:

When dealing with Statistical Probability, you are attempting to find the theoretical chance of an action occuring.

With the two actions described, one being a wheel with five set outcomes, and a dice with six set outcomes, you can find the probability of random numbers/outcomes by taking

[tex]\frac{1}{6} \\and\\\frac{1}{5}[/tex]

1/6 being number cube, 1-2-3-4-5-6

and

1/5 being spinner. A-B-C-D-E

In the Event, (made up by actions), it is described that The Cube AND Spinner are rolled and spun at random.

Also, The description asks: what is the probability of landing on B and rolling an even number?

So, the 1/6 chance of the dice becomes 1/3, or .33 or 33%.

And, the 1/5 chance for the spinner stays the same, because it is a single unit. So, probability of landing on B is still 1/5, or .2 or 20%.

When two actions are present in an Event, you are to procedurally multiply the outcomes by the decimal percentage, fraction, or actual percentage, to find the chance of occurence.

In this scenario, I used .2 x .33 and got 0.066

Which, equals 6.6%

I found this by multiplying the decimal percentage by 100, to scale the chance on a 100/100 based scale. In this case, the multiplier on the numerator is .066 ... creating 6.6/100, or .066 or 6.6%

Hope this Helped!

Answer:

24

Step-by-step explanation:

72=2*2*2*3*3

96=2*2*2*2*2*3

Hcf=2*2*2*3=24#

Answer:$11

Step-by-step explanation: 50c - 300= 250

Add 300 to both sides

Divide both sides by 50

Answer:

Day 1

4 times

8 mins

1 time

0 times

1 time

0 times ( I never use it)

Day 2

2 times

5.30 mins

0 times

2 times

0 times

0 times

Day 3

5 times

0 mins

0 times

2 times

1 time

0 times

Step-by-step explanation:

Hope it helped you

The required area of a sector with an arc of 40 cm and a radius of 12 cm is given as 240 cm².

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,
Sectoral area = arc / 2 × radius
Sectoral area = 40 / 2 × 12

                    = 20 × 12 = 240 cm²

Thus, the required area of a sector with an arc of 40 cm and a radius of 12 cm is given as 240 cm².

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Answer:

The question you are asking is a bit unclear but I might be able to offer some insight.

2(l + w) is sometimes used as the formula for the perimeter of a rectangle.

If l represents the length and w represents the width, then the perimeter (sum of the sides) is l + w + l + w.

This simplifies algebraically as 2l + 2w and can be factored into 2(l + w).  

So, to find the perimeter of the rectangle you must double the sum of the length and width.

Not sure if I helped, but finger crossed!!  :)

Step-by-step explanation:

The income tax rate is 14% if the Algerian government wishes to raise $9 billion in tax revenue and has a workforce of 9,416,534.

It is defined as the tax rate applied on the solely earned money by a single entity.

Algeria has a workforce of 9,416,534

Each entity average annual salary = $6,844

The raise in tax revenue = $ 9 bilion

To find the income tax rate we must find the total income of the workforce,

= 9,416,534×6844

= $64.45 billion

Now for income tax:

[tex]\rm = \frac{Tax \ revenue}{Total \ income}[/tex]

[tex]=\rm \frac{9 \ billion}{64.45 \ billion}\times 100[/tex]

≈ 14 %

Thus, the income tax rate is 14% if the Algerian government wishes to raise $9 billion in tax revenue.

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Answer:

  C

Step-by-step explanation:

The area of a square is the square of the side length. When the side length x=2.5 cm, the area is the square of that value.

__

  A(x) = x²

  A(2.5 cm) = (2.5 cm)² = 6.25 cm²
_____

Additional comment

The "square" of a variable is that variable to the second power. The terms 2x or 4x are linear terms with the variable to the first power, do not represent the area of a square.

The equation A(x) = 4x² introduces a multiplier of 4 that is not applicable to the area of a square based on side length. (The formula might be useful if x represents the distance from one side to the center of the square, the radius of an inscribed circle, for example.)

I dont know how to delete a answer and i got it wrong apparently so sorry

Answer:

1302

Step-by-step explanation:

Answer:

first, we need to know the gradient of the line, 2x+3y=15

Gradient of the line is -2/3

from 3y=-2x+15

Y=-2x/3+5

Step-by-step explanation:

new gradient will be 3/2 since the initial gradient is perpendicular to the new one

therefore, considering the general equation of the line, y-y1=m(x-x1)

where y1=3 and x1=1

we can therefore substitute in the values into the above equation

so, y-3=3/2(x-1)

y-3=3x/2-3/2

2y-6=3x-3

2y-3x=-3+6

2y-3x=3

therefore, the equation of the line perpendicular to line 2x+3y=15 is 3x-2y=-3

Answer:

8 home games and 10 away games

Step-by-step explanation:

Total home goals

= 8 +5 +9 +8 = 30

Number of home games

= 30/3.75 = 8

Total away game goals

= 7 + 8 + 4 + 5 = 24

Number of away games

= 24/2.4 = 10

Easy Peasy :) Hope this helped! <3 brainliest please :)

Answer:

2: 142.5

3: 42

Step-by-step explanation:

Remark

Problem 2

The diagonals of a kite meet at right angles. They also bisect each other. So the two triangles on the left and right side of the kite are congruent.

Because the smaller diagonal is bisected, you need only find the area of 1 of the triangles and double it.

1/2 of the smaller diagonal is the altitude of the triangle. The base is the other larger diagonal.

Solution

Area of the left triangle

Givens

altitude = 7.5

Base = 14 + 5 = 19

formula

Area = 1/2 * B * h

Solution

Area = 1/2 * 19 * 7.5

Area = 71.25

But there are 2 such triangles

Area of both = 71.25 * 2 = 142.5

Answer: A

Problem 3

Remark

The way they have given you the problem, you could be easily fooled. The 2 does not help you at all.

A parallelogram has an area of B * h. Those are the two numbers you use.

Givens

Base = 6

height = 7

Formula

Area = B * h

Solution

Area = 6*7

Area = 42

Answer: Area = 42m^2

A function that represents the number of minutes it takes to deliver x newspapers is y = 12 + 2x/3.

The function that represents the number of minutes it takes to deliver x newspapers is: total minutes = time it takes to orgainse the newspapers + time it takes to deliver x newspapers

Time it takes to orgainse the newspapers = 12 minutes

Time it takes to deliver x newspapers = 2x / 3

y = 12 + 2x/3

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[tex]\dfrac{276.5}{7.9}\\\\\\=\dfrac{276.5 \times 10}{7.9 \times 10}\\\\\\=\dfrac{2765}{79}\\\\\\=\dfrac{79 \times 35}{79}\\\\\\=35[/tex]

Answer:

Step-by-step explanation:

Remark

2 angles are complementary means that 2 angles add up to 90°. That is the guiding princeple behind the problem.

Givens

Let the smallest angle = x

Let the largest angle = 4x + 30

Equation

4x + 30° + x = 90°                   Combine like terms on the left

Solution

5x + 30 = 90                            Subtract 30 from both sides.

5x + 30 - 30 = 90 - 30             Combine

5x = 60                                     Divide both sides by 5

5x/5 = 60/5

x = 12

Answer

Answer:

[tex]m\angle FGC =101\degree [/tex]

Step-by-step explanation:

[tex]m\angle CBF = 46\degree[/tex] (Given)

[tex]m\angle FIG = 55\degree[/tex] (Given)

[tex]m\angle IFG = m\angle CBF[/tex] (Corresponding angles)

[tex]\implies m\angle IFG = 46\degree[/tex]

[tex]m\angle FGC =m\angle IFG+ m\angle FIG[/tex]

(By exterior angle theorem)

[tex]m\angle FGC =46\degree+ 55\degree [/tex]

[tex]m\angle FGC =101\degree[/tex]

Here

Using the formula

sum of interiors=external

The total cost for five years of her rent is less than she buys the townhome. Then the correct option is C.

The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.

Marquet is relocating to an area where she will be attending college.

She finds a townhome with an option to rent or buy.

The conditions of each are shown below.

rent: move-in cost of $1,350 and monthly payment of $795.

buy: move-in cost of $8,235 and monthly payments of $750.

Marquet plans to stay in the area for the 5 years it will take her to get a graduate degree, so she decides to buy.

The total cost for five years when she rents.

→ 1350 + 795 × 12 × 5

→ $49,050

The total cost for five years when she buys.

→ 8235 + 750 × 12 × 5

→ $53,235

She made a poor decision if the property value does not increase. renting the townhome would be cheaper over the 5 years period.

More about the decision-making link is given below.

https://brainly.com/question/3369578

Answer:

c. she made a poor decision if the property value does not increase. renting the townhome would be cheaper over the 5 year period.

Step-by-step explanation:

edge

The volume of a cylinder that has a radius of 6 inches and is 15 inches tall is 540 π cubic inches

The formula for calculating the volume of cylinder is expressed as:

V = πr²h

where

r is the radius

h isthe height

Given the following parameters

h = 15in

r = 6in

substitute

V =  6^2 * 15π
V  = 540 π cubic inches

Hence the volume of a cylinder that has a radius of 6 inches and is 15 inches tall is 540 π cubic inches

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Answer:

b

Step-by-step explanation:

Answer:

17.4 ft²

Step-by-step explanation:

The formula to find the area of a triangle:

1/2 x b x h, where b is the base and h is the height.

1) Substitute the given values into the formula and solve it.

= 1/2 x 6 x 5.8

= 1/2 x 34.8

= 17.4

Answer:

Area= 17.4 ft²

Step-by-step explanation:

The formula of the area of any triangle is given by: A = [tex]\frac{b*h}{2}[/tex]

where A: area of the triangle

           b: base of the triangle

           h: height of the triangle

in this figure we have:

b= 6ft

h= 5.8ft

A= [tex]\frac{6 * 5.8}{2}[/tex] = [tex]\frac{34.8}{2}[/tex]=17.4 ft²

HOPE THIS HELPS :)

Answer:

n = the number of necklaces Natasha sells

Answer:

the answer is y=4

Step-by-step explanation:

the left drawing is a law , and is always true . and on the right side i showed you how i got to the answer.

Applying the law of cosines, the measure of angle Y in the image below, to the nearest whole degree, is: B. 64°

Law of cosines is given as: y² = x² + z² – 2xz(cosY)

Given the following:

x = 12

y = 16

z = 17

Y = ?

Apply the law of cosines:

16² = 12² + 17² – 2(12)(17)(cosY)

256 = 433 - 408(cos Y)

256 - 433 = -408(cos Y)

-177 = -408(cos Y)

-177/-408 = cos Y

Y = cos^(-1)(177/408)

Y ≈ 64°

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Answer:

3.2

Step-by-step explanation:

I'm guessing you want to find the value of D.

so,

-0.4 = 3d -10

3d = 9.6

d = 3.2

Answer: 3.2

Step-by-step explanation:

-0.4= 3d + (-10)

-0.4= 3d -10

add 10 to both sides

9.6 =3d

d= 9.6/3

d = 3.2

Step-by-step explanation:

Sum of interior angles of a polygon

180°(n−2)

When n=10,

Sum of interior angles of a polygon

180°(n−2)

=180°(10−2)

=1440°

Therefore, Each interior angle of a regular heptagon measures 1440/10=144°

Sum of interior angles of a polygon

180°(n−2)

When n=7,

Sum of interior angles of a polygon

180°(n−2)

=180°(7−2)

=900°

Therefore, Each interior angle of a regular heptagon measures 900/7=128.6°

Answer: You d u m b. -3/4

Step-by-step explanation:

Answer:

$250

Step-by-step explanation:

50+100n= 50+100(2)= 50+200=250

Sincerest Apologies if this is incorrect