9) The diameter of a circular ice skating rink is 32 feet. What is the approximate area of the ice skating rink? Use a = 3.14. a) 803.84 square feet b) 50.24 square feet c) 100.48 square feet d) 64 square feet​

Answer:

sin(x)= 1/2 or sin(x)= -1/5

Answer: a c d e

Step-by-step explanation:2nd part

Answer:

-2

Step-by-step explanation:

Given :

Solving :

Answer:

-2

Step-by-step explanation:

Given expression: -k - k

Combine like terms and simplify:

⇒ -k - k

⇒ -(k + k)

⇒ -(2k) = -2k

Determining the constant:

The constant of the term MUST be an integer. It CANNOT be a variable. In this case, the only constant that is a cooeficient of k is -2.

Thus, the cooeficient of -k−k is -2.

Answer: 20.48

Step-by-step explanation: you add 5.12 four time then you get 20.48.

The value of the mean height for the given data will be 84.6 ft. Option A is correct.

It is a measurement of statistical data dispersion. The degree to which the value varies is known as dispersion.

Given data;

Mean,[tex]\rm\bar x = 84[/tex]

Standard deviation,[tex]\sigma= 2[/tex]

No of sample,n=64

The mean height is foundd as;

[tex]\rightarrow \bar x \pm \frac{\sigma}{\sqrt n} \times Z \\\\ \rightarrow \84 \pm\frac{2}{8} \times 1.96 \\\\ \rightarrow 83.51,84.49[/tex]

84.6>84.49

The value of the mean height for the given data will be 84.6 ft.

Hence option A is correct.

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Answer:

480 in³

Explanation:

Volume of Rectangular Prism = Length * Height * Width

Front Volume:

Behind Volume:

Total volume:

Both are cuboids

#1

Volume:-

#2

Volume:-

Total:-

400+80=480in³

Answer:

65

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

The diagonals of an isosceles trapezoid are congruent , then

4x - 1 + 4 = 2x + x + 6 , that is

4x + 3 = 3x + 6 ( subtract 3x from both sides )

x + 3 = 6 ( subtract 3 from both sides )

x = 3

Answer:

the 2nd option

Step-by-step explanation:

given a quadratic in standard form : y = ax² + bx + c (a ≠ 0 )

• if a > 0 then minimum turning point

• if a < 0 then maximum turning point

the graph here has a minimum turning point , so

the function has a positive leading coefficient.

the function is symmetrical about the y- axis , so is of even degree

the function has 1 turning point at (0, 2 )

the graph does not cross the x- axis so has 0 x- intercepts

Answer:

there is 5 jokers

Step-by-step explanation:

the dot plot shows that

Answer:

A. 6,8,10

Step-by-step explanation:

For a right triangle the the values for the three sides we pick must satisfy the Pythagorean theorem:

a(2 + b(2= c(2

A. 6,8,10

6(2 + 8(2 = 10(2

36 + 64 = 100

100 = 100

Bingo!

(For example lets solve the rest)

B. 2,4,6

2(2 + 4(2 = 6(2

4 + 16 = 36

20 ≠ 36

Nope.

C. 1,2,3

1(2 + 2(2 = 3(2

2 + 4 = 9

6 ≠ 9

No again!

D. 2,3,4

2(2 + 3(2 = 4(2

4 + 9 = 16

13 ≠ 16

Not this one.

Therefore our answer is A.

Answer:

The answer to this question is "x"-meter = 48 = B)

Answer:

1/5

Step-by-step explanation:

It is easy to see a right triangle on each side of the original square with its hypotenuse on the side of the original square, each with an area of 2⋅A2=A. Thus the total area of the original square is 5A, or the ratio of the area of the shaded square to the original square is 1/5.

Step-by-step explanation:

draw a number line and plot on 7 and make an arrow at the other end of the line

Answer:

B is 88 and C is 44

Step-by-step explanation:

I know I am right and I did the math

The total surface area of the remaining solid is 48(4+root3) centimeters square.

We have given that,

Through a regular hexagonal prism whose base edge is 8 cm

Whose height is 12 cm, a hole in the shape of a right prism

Total surface area=2(area of the base)+parameter of base×Height

Height=8cm

Parameter of base=12(2)=24

area of the base=6×root3/4×4^2

We use the given value in the formula

=2×6×root3/4×4^2+24×8

=48root3+192

=48(4+root3)cm^2

Therefore the total surface area of the remaining solid is 48(4+root3)cm^2.

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answer:

A=46°

a=17.983 (tenths- 18, hundredths- 17.98)

b=17.366 (tenths- 17.4, hundredths- 17.37)

explanation:

1. find angle A

it shows that the angle corresponding with the side length of 25 is a right angle, meaning it's 90°. using that information and the angle given to us (44°), we're able to find the missing angle. since all the angles in a triangle always add up to 180°, we can add the two angles together and then subtract that from 180° to find the missing angle.

90°+44°=134°

180°-134°=46°

A=46°

2. find side a

using the law of cosines, we're able to find the length of side a. cosine of an angle equals [tex]\frac{adjacent}{hypotenuse}[/tex]. we'll be using angle B (44°) for our angle. after we plug in the values, we can just solve the equation to find side a.

cosine44°=[tex]\frac{a}{25}[/tex]
(multiply both sides by 25)

25cosine44°=a
a=17.983

3. find side b

finding the length of side b is very similar to how you found side a. you can use the law of cosines again (make sure you use the right side lengths and angles!), but i used the law of sines. the sine of an angle equals [tex]\frac{opposite}{hypotenuse}[/tex]. we're going to be using the same angle for this.

sine44°=[tex]\frac{b}{25}[/tex]

(multiply both sides by 25)

25sine44°=b

b=17.366

--

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Answer:

Below in bold.

Step-by-step explanation:

y = x^2-8x+6

y = (x - 4)^2 - 16 + 6

y = (x - 4)^2 - 10

So the vertex is at (4, -10)

The coefficient of x^2 of this function is 1 ( positive) so there will be  a minimum value.

Minimum value = -10.

x-intercepts:

(x - 4)^2 - 10 = 0

(x - 4)^2   =   10

x -  4 =  +/- √10

x =  4 +/- √10

- therefore there are 2 x-intercepts.

Using the formula for volume and surface area of solids, we have the following:

1. 180 in.³; 258 in.²; $12.9

2. 144 in.³; 184 in.²; $9.2

3. 75 in.³; 228 in.²; $11.4

Volume of a rectangular prism = l × w × h

Surface area of a rectangular prism = 2(wl+hl+hw)

Volume of a square pyramid = 1/3 × a² × h

Surface area of a square pyramid = a² + 2al

Volume of a cylinder = πr²h

Surface area of a cylinder = 2πr( h + r)

1. Volume of the rectangular prism cereal box = 7.5 × 2 × 12 = 180 in.³

Surface area of the rectangular prism cereal box = 2(wl+hl+hw) = 2(2 × 7.5 + 12 × 7.5 + 12 × 2) = 258 in.²

Cost of material for the the rectangular prism cereal box = 258 × 0.05 = $12.9.

2. Volume of the square pyramid cereal box = 1/3 × a² × h = 1/3 × 6² × 12 = 144 in.³

Surface area of the square pyramid cereal box = a² + 2al = 6² + 2(6)(12.3) ≈ 184 in.²

Cost of material for the the square pyramid cereal box = 184 × 0.05 = $9.2.

3. Volume of the cylinder cereal box = πr²h = π(2.5²)(12) = 75 in.³

Surface area of the cylinder cereal box = 2π(2.5)(12 + 2.5) ≈ 228 in.²

Cost of material for the the cylinder cereal box = 228 × 0.05 = $11.4.

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Step-by-step explanation:

x > 4

you see the line covers everything to the right (larger than) of +4.

the large empty circle at 4 means this value is not included.

that is the reason why we cannot use x >= 4.

to include the value the market has to be sold (not empty).

Answer:

g(x)=(-x²-4)

Step-by-step explanation:

[tex] - {x}^{2} - 4 \: is \: th \: requied \: equation[/tex]

The Fran's balance will be $866.73.

She has an existing balance of $752.69

Her current card charges her a transfer fee of 12.5%, added to her balance, for transferring her debt.

An even distribution of weight enabling someone or something to remain upright and steady.

Which is given by,

[tex]0.125\times 752.69=94.04[/tex]

The total is given by,

[tex]752.69+94.04=846.77[/tex]

The new card has an opening fee of $50, which is also added to her balance.

This becomes now = [tex]846.77+50=896.77[/tex]

She also have to make an immediate minimum payment, which is 3.35% of her total balance.

This amount is = [tex]0.0335\times 896.77=30.04[/tex]

Now balance in her account is = [tex]0.0335 \times 896.77=30.04[/tex]

Therefore, Fran's balance will be $866.73.

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Answer:

Step One

Use the vertex to determine the basic equation for the parabola.

y = a(x - 2)^2 + 7 Notice the sign change for x. I have provided a graph to show how this would look with a = 1 (in red.)

What it means is the  2 has to be minus in order that the vertex will shift 2 units in the x direction.

Step Two

Use the point to solve for a.

y = a(x - 2)^2 + 7

When x = - 1

Then y = 3

3 = a(-1 - 2)^2 + 7                combine -1 with - 2

3 = a (-3)^2 + 7

3 = 9a + 7                            Subtract 7 from both sides

3 - 7 = 9a

-4 = 9a                                 Divide by 9.

a = -4/9

or                                

a = - 0.4444

y = -0.4444(x + 2)^2 + 7 <<<<< answer

y = - 4/9 (x + 2)^2 + 7

Note: if you have choices, list them please.

Note: The red graph is y = (x - 2)^2 + 7 ; a = 1

The blue graph is y = - 4/9(x - 2)^2 + 7 ; a = - 0.44444

1 It widens the graph

jcherry99 avatar

It turns the graph upside down. The next one is the tough one.

jcherry99 avatar

It gives the parabola two real roots.

jcherry99 avatar

If you thought of others, so much the better.

Step-by-step explanation:

Answer:

y = - 4x² - 16x - 9

Step-by-step explanation:

the equaion of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here (h, k ) = (- 2, 7 ) , then

y = a(x + 2)² + 7

to find a substitute (- 1, 3 ) into the equation

3 = a(- 1 + 2)² + 7 ( subtract 7 from both sides )

- 4 = a(1)² = a

then

y = - 4 (x + 2)² + 7 ← in vertex form

   = - 4(x² + 4x + 4) + 7

   = - 4x² - 16x - 16 + 7

   = - 4x² - 16x - 9 ← in standard form

Answer:

  3%

Step-by-step explanation:

The interest on the account is given by the simple interest formula:

  I = Prt

where I is the interest, P is the principal invested, r is the annual rate, and t is the number of years

  375 = 2500r(5) . . . . . . using the given values in the formula

  375/12500 = r = 0.03 . . . . . divide by the coefficient of r

Sonnie's account had a 3% interest rate.

Two rigid transformations must be applied:

The solution set can be identified by the fact that domain of quadratic functions is the real domain.

In the field of the Euclidean geometry rigid transformations are transformations applied on geometric loci such that Euclidean distances within the latter are conserved and herein we must determine what rigid transformations we should apply on f(x) to obtain g(x).

After a careful examination, we conclude that following two rigid transformations must be applied:

The solution set represents the set of x-values such that the function exists. As both functions are quadratic equations, then their solutions are described the entire real domain.

To learn more on rigid transformations, we kindly invite to check this verified question: https://brainly.com/question/1761538

Answer:

The Answer Is 10,000 Codes

Proof :

Answer:

10,000

Step-by-step explanation:

Took k-12 quiz

Answer:

34

Step-by-step explanation:

10 x 3 = 30

30 + 4 = 34

34 is the answer.

Answer:

10×3+4

=30+4

=34

hope this helps you