At a wrestling event, ringside seating will consist of three rows being laid out. It is planned so each row will be two more seats than the one before it and 90 people must be seated in each section. How many people will be in the third row?

The radius of the base after rotating the rectangle will be 5

Since it has a perimeter of 32 units and it is to be rotated about the line, the solid to be created is a cylinder.

Let's calculate its radius from the perimeter;

[tex]2p=32[/tex]

[tex]2(b+h)=32[/tex]

[tex]b+h=16[/tex]

[tex]b=16-h[/tex]

Also, [tex]bh=60[/tex]

Thus;

[tex]h(16-h)=60[/tex]

[tex]h^2-16h+60=0[/tex]

Using the online quadratic formula, we have h = 6

Thus; b = 16 - 6 = 10

Since the line of rotation is the center, and the radius is half the line segment of the basis, then the radius is 10/2 = 5.

Thus the radius of the base after rotating the rectangle will be 5

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Answer:

cylinder and 6 units

Step-by-step explanation:

on e2020

Answer:

200g of coffee beans

Step-by-step explanation: 453.592g = 1 pound going by 200 per $3.85 that would be way better than $960

Answer:

200 grams

Step-by-step explanation:

1 pound is 453.592 grams and 200 grams is 0.440925 of a pound. If you paid $3.85 for 200 grams you'd pay a little over $7.70 to get a pound. But if you paid $960 for a pound you'd have to pay a lot more money. So 200 grams of coffee beans is the better buy.

Step-by-step explanation:

Hope this image helps you!!

Answer:

66cm

Step-by-step explanation:

i kniw

Answer: 13.8

Step-by-step explanation:

Answer:

13.8

Step-by-step explanation:

The value of q is 16.

Collinear points are the points which are formed on a straight line, whether they are close or far away.

If three or more points are collinear, then they form on the same line.

The slope of each pair of points will be same.

Here if A, B and C are collinear,

Slope of AB = Slope of BC

(4 - 0) / (7 - 9) = (q - 4) / (1 - 7)

-2 = (q - 4) / -6

q - 4 = 12

q = 16

Hence the value of q is 16.

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Answer:

10

Step-by-step explanation: You would have to multiply 2 by itself 50 times.

The value of the given expression is 32.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression 2⁵

Evaluate using the Power rule:

mⁿ = m *m* m* m* m*m.......n times

Thus, the Value of the expression 2⁵ will be:

2⁵ = 2 * 2 * 2 * 2 * 2

2⁵ = 32

Therefore, The value of the given expression is 32.

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Find the perimeter of the room, which is the sum of all four sides:

12 + 12 + 7 + 7 = 38 feet.

The cost would be 38 ft x 0.97 per foot = $36.86

Answer:

5x^2+120x

Step-by-step explanation:

5x(x+24)

Step 1: Use distributive property to expand the expression. Multiply 5x separately  with all the terms inside the bracket.

Step 2: 5x(x) = 5x^2

5x(24) = 120x

Answer: 5x^2+120x

Note: If you need to further solve it, you can factor it.

To Factor;

5x^2+120x

Step 1: Factor out the common: 5x

Step 2: 5x times x = x^2

            5x times 24 = 120x

Therefore,

Factored answer: 5x(x+24)

Hope this helps.

Answer:x=6

Step-by-step explanation:

5x(x+24)=0

5x = x +24

5x - x = x - x + 24

4x = 24

X = 24/4

X = 6

The total amount paid by Kate as a portion of interest will be $12932.

The compound interest is the interest levied upon both the principal amount and the interest from the previous periods.

The formula for the calculation of the compound interest will be given as

[tex]A=P(1+\dfrac{r}{100^} )^n[/tex]

here,

A= Amount

P= priciple

r=Rate of interest

n=Time period

Now it is given that,

P=$9710

r=5.9%

n=5

Then putting the values in the formula we get

[tex]A=9710(1+\dfrac{5.9}{100})^5[/tex]

A=$12932

Hence the total amount paid by Kate as a portion of interest will be $12932.

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Answer:

the answer is C 1,526.22

Step-by-step explanation

2022 edge test

Answer:

yeah

Step-by-step explanation:

The natural numbers, whole numbers, and integers are all subsets of rational numbers. In other words, an irrational number is a number that can not be written as one integer over another. It is a non-repeating, non-terminating decimal.

Answer:

No irrationals are integers. Irrational numbers are by definition *not rational*, and all integers can represented as the rational

Answer:

The correct answer is 360 - 150 = x

Answer:

x=14

y=7

Step-by-step explanation:

this is a 30-60-90 triangle -- u can tell bc there is a right angle marker (90 degrees) and one angle is 30, so the other angle is 60

in a 30-60-90 triangle,,

the long leg = x√3

short leg = x

hypotenuse (the side opposite the right angle marker) = 2x

since u know the long leg is 7√3, the short leg = 7

and since the hypotenuse is 2x (twice the short leg), 7 times 2 = 14

5 ori 5 fac 25 și cu 25 egal 14 și cu 14 egal 100 și cu 100 egal 12

Step-by-step explanation:

sper ca team ajutat

Answer:

∠ 6 = 45°

Step-by-step explanation:

∠ 6 and 45° are vertically opposite angles and are congruent , so

∠ 6 = 45°

Answer:

sin = o/h = 5/13

cos = a/h = 12/13

tan = o/a = 5/12

o - opposite

a- adjacent

h - hypotenuse

Answer:

You times them, its easy.

Step-by-step explanation:

1 times 2 times 3, it will multiply in 6 hours

Answer:

It would be cheaper to use the online store

Step-by-step explanation:

the physical store added up to $129.04 and the online store was $128.82.

It would cost less to purchase the items from the physical store.

The correct option is C.

A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."

To calculate the total cost for each store, we need to take into account the discounts, taxes, and shipping fees.

For the physical store:

Batteries: 2 packs x $5.99/pack = $11.98

Stereo: 1 system x $100.00/system = $100.00

CDs: 3 CDs x $7.95/CD = $23.85

Subtotal: $135.83

After the 10% discount: $135.83 - 10% = $122.25

Sales tax: $122.25 x 5% = $6.11

Total cost: $122.25 + $6.11 = $128.36

For the online store:

Batteries: 2 packs x $4.99/pack = $9.98

Stereo: 1 system x $90.00/system = $90.00

CDs: 3 CDs x $8.95/CD = $26.85

Subtotal: $126.83

After the $5.00 discount: $126.83 - $5.00 = $121.83

Shipping fee: $6.99

Total cost: $121.83 + $6.99 = $128.82

Therefore, it would cost less to purchase the items from the physical store.

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Answer:

The common difference in this sequence is 16

Step-by-step explanation:

Answer: 21

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the number of hours Annie travelled be a, and same of Brian be b

Then we have

Substituting a in the first equation

Then finding a

So the answer is:

Answer:

A. 720

B. 120

Step-by-step explanation:

To do this you need to do permutation with your calculator

A.

KINDLY has 6 letters

an easy way to do this is by

6 x 5 x 4 x 3 x 2 x 1 = 720

or 6! = 720

B.

6 nPr 3 = 120

or

                n!               6!             6 x 5 x 4 x 3 x 2 x 1             720

P(n, r) = --------   =   ----------   =   -------------------------------   =   -----------   =   120

              (n - r)!        (6 - 3)!                3 x 2 x 1                          6

I hope this helps!

Answer:

1.312 I think

Step-by-step explanation:

answer: 1.312

explanation: 8.2×0.16= 1.312

Answer:

C, A, C

Step-by-step explanation:

1) Angle D corresponds to angle A, so since corresponding angles of similar triangles are congruent, it measures 64 degrees.

2) Angle E corresponds to angle B. To find the measure of angle B, we can start by using the fact that angles F and C correspond. This means that in triangle ABC, we have angles with measures of 64 degrees, 73 degrees, and angle B. It follows that angle B, and thus angle E, measures 43 degrees.

3) By the exterior angle theorem, the measure of angle G is equal to the measure of angles D and F combined. The measure of angle D is 64 degrees, and the measure of angle F is 73 degrees, so angle G measures 137 degrees.

Answer:

$84.38

Step-by-step explanation:

i did 5.5% of 79.99=4.39

79.99+4.39=84.38

Answer:

x³ - 12x² + 43x - 40

Step-by-step explanation:

f(x) × g(x)

= (x - 5)(x² - 7x + 8)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² - 7x + 8) - 5(x² - 7x + 8) ← distribute both parenthesis

= x³ - 7x² + 8x - 5x² + 35x - 40 ← collect like terms

= x³ - 12x² + 43x - 40

Answer:

are they talking bout how much will you have left then its 0 if they talking but the check its positive

Answer: 32.7

Step-by-step explanation:

Answer:

390 square miles I think