Simon has a certain length of fencing to enclose a rectangular area. The function
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A
Which of these statements are true?

Answer:

(h,k) = (32,-4)

r = 32

Step-by-step explanation:

The general equation for a circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]   (1)

where (h,k) is the center of the circle and r is the radius.

You have the following equation:

[tex]x^2+(y+4)^2=64x[/tex]   (2)

You first need to complete squares in order to obtain an equation of the form (1). Thus, you have that the second term must be in a perfect square trinomial:

2b = 64

b = 32

Then, you have to sum 32^2 and also subtract the same number in the expression (2):

[tex]x^2-64x+(y+4)^2=0\\\\(x^2-64x+32^2)+(y+4)^2-32^2=0\\\\(x-32)^2+(y+4)^2=32^2[/tex]

you compare the last result with expression (1) and obtain that the raiuds of the circle is r = 32

Furthermore, the center of the circle is (h,k) = (32,-4)

Answer:

-6 and 2

Step-by-step explanation:

Answer: 1/5

Step-by-step explanation:

From the question, there are ten dogs at the dog park on a busy Saturday and two of the dogs are Corgis. The probability that a randomly selected dog is a Corgi will be the number of Corgis divided by the total number of dogs. This will be:

Probability (Corgi) = Number of Corgis/total number of dogs.

Probability (Corgi) = 2/10

= 1/5

Answer: The volume is 480 in^3

Step-by-step explanation:

v= lwh

v= 12 * 5 * 8

v= 480 in^3

Answer:

Volume of the rectangular prism = [tex]480in.^{3}[/tex]

Step-by-step explanation:

Formula for the volume of a rectangular prism= Ah, where A= base area

                                                                                               & h= height

Base area(A)= Length×Width

                    = 12in.×8in.

                    = [tex]96in.^{2}[/tex]

Since height=5in.,

Volume= [tex]96in.^{2}[/tex]×5in.

            = [tex]480in.^{3}[/tex]

Hope this helps!!!

Pls mark as brainliest

Answer:

35°

Step-by-step explanation:

First you find the sine of x. That would be

sinx = opposite/hypotenuse

sinx = 57/100

sinx = 0.57

You can look it up if you want, but sin35 = 0.574

so the answer is 35°

The closest to the value of x is 35°.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

In order to find the sine of x. That would be

sinx = opposite/hypotenuse

sinx = 57/100

sinx = 0.57

sin35 = 0.574

Hence, the answer is 35°.

Learn more about trigonometric;

https://brainly.com/question/21286835

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Answer:

-0.8 and -8.2

Step-by-step explanation:

To solve a quadratic you first need to have one side of the equation equal to zero (because x-intercepts are when y is zero).

4x^2 + 24x + 13 = 2x^2 + 6x

2x^2 + 18x + 13 = 0

Then you can use the quadratic formula to solve for x. You will then come to

-18 ± sqrt(220) / 4

This will simplify out (rounding to the nearest tenth) to -0.8 and -8.2

Answer:

-25n-2

Step-by-step explanation:

-2(-5n+6)+5(2-7n)

-(-2×5n+2×6)+(-5×7n+5×2)

Answer:

V = pi r^2 h

Step-by-step explanation:

The formula for the volume of a cylinder is given by

V = pi r^2 h  where r is the radius and h is the height

Answer:

pi × r² × h

Step-by-step explanation:

Formulae for volume of a cylinder is:

V = pi × r² × h

Where,

r is the radius

h is the height

For pi, either use the value on the calculator or an approximate value of 3.14

Answer:

The answer is A or 155cm^2

Step-by-step explanation:

If you take the shape and separate it into two rectangles, one measuring 5*15 and the other measuring 10*8 you get two areas of 75 and 80, add them together to get the total of 155

Answer:

A.3times

B.$1214.68

Step-by-step Explanation

A

Using compound interest formula

A=P(1+I)^n

A is the amount

P is the principal=$300

I is the interest=0.06

n is the time ( between 52 and 16years)=36years

A=300(1+0.06)^36

A=$2444.175

Which means 300 would have become

$2444.175 which is 8 folds.

That means it would have doubled 3times(2×2×2) at age of 52.

B. The time would change to (52-28)=24

Using compound interest formula

A=300(1+0.06)^24

A=$1214.68

Therefore his investment would have been $1214.68.

Answer:

30%

Step-by-step explanation:

15/50 × 100% = 30%

Answer:

x= iz ( 15z²-1) ^1/2 ÷ 2y³ -69 ^1/2

hope this helped

Answer:

combine like terms

Step-by-step explanation:

u wont geta  proper answer but u will get a equation that i smaller

Answer:

See attachement

Step-by-step explanation:

The interval 0-20 on vertical axis will be skipped on paper graph and graph will start from 20.

Answer:

[tex]-\frac{2}{\sqrt{2}}[/tex] or [tex]-\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sec{x}[/tex] is the reciprocal of [tex]\cos{x}[/tex], or in symbols: [tex]\sec{x}=\frac{1}{\cos{x}}[/tex]. [tex]\tan{x}[/tex] is also the ratio of [tex]\sin{x}[/tex] to [tex]\cos{x}[/tex], and we can multiply both sides of the equation [tex]\tan{x}=\frac{\sin{x}}{\cos{x}}[/tex] by [tex]\frac{1}{\sin{x}}[/tex] to get the equation [tex]\frac{\tan{x}}{\sin{x}}=\frac{1}{\cos{x}}[/tex]. Of course, this is just the definition of [tex]\sec{x}[/tex], so we can rewrite this fact as [tex]\sec{x}=\frac{\tan{x}}{\sin{x}}[/tex].

In this problem, we're given that [tex]\sin{x}=\frac{\sqrt{2} }{2}[/tex] and [tex]\tan{x}=-1[/tex], so plugging those two values into our equation gives us

[tex]\sec{x}=\dfrac{-1}{\frac{\sqrt{2}}{2}} =-\frac{2}{\sqrt{2}}[/tex]

We could leave our solution as [tex]-\frac{2}{\sqrt{2}}[/tex], or we could rationalize the denominator to get a solution of

[tex]-\frac{2}{\sqrt{2}}\cdot\frac{\sqrt{2}}{\sqrt{2}}=-\frac{2\sqrt{2}}{2}=-\sqrt{2}[/tex]

Answer: The first one is correct but the second one is not

answer blank 1 = 21

answer blank 2 = 189

Step-by-step explanation: You know that 21 students are at each group of tables and you know there is 9 groups total so to get the answer you must multiply 8 times 21 which is 189. Where you went wrong was you multiplied 9 * 3 instead of 9 * 21

hope this helps mark me brainliest if it did

Answer:

21.24

Step-by-step explanation:

Edge 2020

The required arc length of the circle is 9.42 inches

The arc is a portion of the circumference of a circle.

Area of a sector of a circle = θ/360 × πr², where r is the radius of the circle and θ is the central angle.

To calculate the length of the arc, we use the formula:

S = 2πr (θ/360°)

where,

S = arc length

r = radius of the circle

θ = central angle

As per the given question, we have

r =  9 inches, and θ = 60°

Substitute the values in the above equation, we get:

S = 2π(9) (60°/360°)

S = 2π(9)/60°

S ≈9.42

Hence, the arc length of the circle is 9.42 inches.

Learn more about the arc of the circle here:

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The question seems to be incomplete, here is the complete question:

Given a radius of 9 inches intercepted by the central angle of 60°. Estimate the length of arc 'S' to the nearest hundredth.

Answer:

38°

Step-by-step explanation:

All triangles have a sum of 180°.

180 - (25 + 117) = missing angle

180 - (142) = missing angle

38 = missing angle

The measurement of the missing angle is 38°

Answer:

The measure of the missing angle is 38°

Answer:

126 Sq unite

Step-by-step explanation:

I took the assignment

Answer:

126 Sq

Step-by-step explanation:

im taking the test

Answer:

[tex] P(24< X<38)= P(X<38) -P(X<24)= F(38) -F(24)[/tex]

And replacing we got:

[tex] P(24< X<38)=\frac{38-20}{40-20}-\frac{24-20}{40-20}= 0.9-0.2= 0.7[/tex]

Step-by-step explanation:

We can define the random variable X as the thickness of a protective coating applied to a conductor designed to work in corrosive conditions. And the distribution for X is given by:

[tex] X \sim Unif (a = 20, b=40)[/tex]

And we want to find this probability:

[tex] P(24< X<38) [/tex]

And in order to find this probability we can use the cumulative distribution function given by:

[tex] F(x) = \frac{x-a}{b-a} , a\leq X \leq b[/tex]

And if we use this formula for the probability desired we have:

[tex] P(24< X<38)= P(X<38) -P(X<24)= F(38) -F(24)[/tex]

And replacing we got:

[tex] P(24< X<38)=\frac{38-20}{40-20}-\frac{24-20}{40-20}= 0.9-0.2= 0.7[/tex]

Answer:

x = 16

Step-by-step explanation:

We can use ratios to solve

12             x

--------- = ----------

3                    4

Using cross products

12*4 = 3x

Divide each side by 3

48/3 = 3x/3

16 =x

Corrected Question

Garth buys 24 kilograms of candy. He then repacks the candy into small bags of 3/4 kilogram each. How many bags does he pack?

Answer:

C. 32 bags

Step-by-step explanation:

Total Weight of Bag bought =24 kilograms

Since Garth wants to repack the candy into small bags of 3/4 kg, we simply divide 24 by 3/4 to obtain the number of small bags.

[tex]24 \div \dfrac{3}{4}= 24 X \dfrac{4}{3}\\=32[/tex]

There will be 32 small bags of 3/4 kg.

The correct option is C.

Question

A student solved this problem and said the answer was [tex]5\frac{1}{4}[/tex] miles. Danielle ran [tex]3\frac{1}{8}[/tex] miles on Tuesday, [tex]4\frac{1}{2}[/tex] miles on Wednesday, and [tex]5\frac{1}{4}[/tex] miles on Thursday. How far did Danielle run altogether? Is the student's answer reasonable?

- No, the answer is not reasonable. It should be about 13 miles.

- Yes, the answer is reasonable.

- No, the answer is not reasonable. It should be about 2 miles.

- No, the answer is not reasonable. It should be about 20 miles.

Answer:

- No, the answer is not reasonable. It should be about 13 miles.

Step-by-step explanation:

Given

Student solution = [tex]5\frac{1}{4}[/tex] miles.

Miles covered on Tuesday = [tex]3\frac{1}{8}[/tex] miles

Miles covered on Wednesday = [tex]4\frac{1}{2}[/tex] miles

Miles covered on Thursday = [tex]5\frac{1}{4}[/tex] miles

Required

- Total distance covered by the student

- Is the student answer reasonable?

To calculate the actual distance covered by Danielle, we simply add the distance covered on each day,

This goes thus

Distance = [tex]3\frac{1}{8}[/tex] + [tex]4\frac{1}{2}[/tex] + [tex]5\frac{1}{4}[/tex]

Convert to Improper Fractions

Distance = [tex]\frac{25}{8}[/tex] + [tex]\frac{9}{2}[/tex] + [tex]\frac{21}{4}[/tex]

Take LCM

Distance = [tex]\frac{25 + 36 + 42}{8}[/tex]

Distance = [tex]\frac{103}{8}[/tex]

Distance = 12.875

From the calculations above, we can conclude that the student's answe is not reasonable because his calculation ([tex]5\frac{1}{4}[/tex] miles) is much more smaller than the actual result 12.875 miles

From option A through D, Only option A is correct because 12.875 miles cam be approximated to 13 miles.

Hence,

A. - No, the answer is not reasonable. It should be about 13 miles.

is the right answer

Answer:

A=2x^2+5x

Step-by-step explanation:

length of frame = 2x+5

width of frame = x

A=lw

A=(2x+5)x

A=2x^2+5x

Answer:

1880

Step-by-step explanation:

I hope this helps you

Answer:

The correct option is;

[tex]\frac{1}{\pi }[/tex]

Step-by-step explanation:

Here we have that

[tex]Probability = \frac{Number \, of \, required\, outcomes}{Number \, of \, possible\ outcomes} = \frac{Dimension \, of \, the \, line}{Size \, of \, the \ needle} = \frac{l \times D}{\pi \times D \times l } = \frac{1}{\pi }[/tex]

Therefore, the probability that the needle will cut the line = 1/π.

Answer:

C

Step-by-step explanation

Answer:

c

Step-by-step explanation:

Answer: On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 8 pi.

Step-by-step explanation:

The function is y = sin(0.5*x)

We know that sin(0) = 0, so this graph must pass trough the point (0,0)

We know that the maximum of the sin(x) is 1, when x = pi/2. and the minimum is -1 when x = (3/2)*pi

but in our case the function is valuated in 0.5*x

then the maximum is when:

0.5*x = pi/2

x = pi/(2*0.5) = pi

and the minimum is when

0.5*x = (3/2)*pi

x = 3*pi

Now, knowing that sin(2*pi) = 0

The other 0 of the sin is when we have 0.5*x = 2*pi

x = 2*pi/0.5 = 4*pi

this means that in 4*pi we have one cycle, then in 8*pi we have tow cycles.

Then the correct option is:

"On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 8 pi."

Answer:

d

Step-by-step explanation:

Answer:

64\ units^{3}

Step-by-step explanation:

we have

V=s^{3}

This is the formula to calculate the volume of a cube

where

s is the length side of the cube

In this problem we have

s=4\ units

substitute

V=4^{3}=64\ units^{3}