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Answer: 4) The center is located at (1, 3), and the radius is 6

Step-by-step explanation:

Solve the general equation of the circle.

x^2 -2x +1+ y^2-6y+9= 26+1+9 (x-1)^2+(y-3)^2=36=6^2

Hence, the coordinates of the center (1,3) And the radius will be 6

The center is located at (1,3) and the radius is 6.

"The center is the point from which all of the points on the circle are the same distance."

"The radius is the exact distance from the center to any point on the circle."

We have

[tex]x^{2} -2x+y^{2}-6y = 26\\[/tex]

Add 1 and 9 on both sides of equation

⇒[tex]x^{2} -2x+1+y^{2}-6y+9 = 26+1+9[/tex]

⇒[tex](x-1)^{2} +(y-3)^{2}= 36[/tex]

⇒[tex](x-1)^{2}+(y-3)^{2}=6^{2}[/tex].......(1)

We know the Standard form of equation of the circle

[tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex]

By comparing the standard form and equation (1)

Center (h, k) = (1, 3) and radius is 6

Hence, The center is located at (1,3) and the radius is 6.

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Answer:

The number of candy which can be bought for 20 dollars is 16 candies. Hence, the required answer is 16. The number of candy bars that can be bought for $20 are 16.

16 candy bars can be bought for 20 dollars. Hence, the correct answer is C.

An expression is a mathematical representation or statement that combines variables, constants, and mathematical operations. It does not contain an equals sign (=) and does not make a statement of equality or inequality. Instead, an expression represents a value or a computation.

To determine how many candy bars can be bought for 20 dollars, we need to use the given information that 4 candy bars can be purchased for $5.

To find the cost of one candy bar, we divide $5 by 4:

Cost of one candy bar = $5 / 4 = $1.25

Now, we can calculate how many candy bars can be bought for $20 by dividing 20 by the cost of one candy bar:

Number of candy bars = $20 / $1.25 = 16

Therefore, 16 candy bars can be bought for 20 dollars. Hence, the correct answer is 16 bars.

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Answer:

[tex]x=-36[/tex]

Step-by-step explanation:

[tex]\frac{x}{6} +12=6[/tex]

[tex]\frac{-36}{6} +12=6[/tex]

[tex]-6+12=6[/tex]

Hence, x = -36

Answer:

X = -36

Step-by-step explanation:

x/6 + 12 = 6

-12         = -12

x/6 = -6

(6) = (6)

 x = -36

Answer:

x = 100

Step-by-step explanation:

365.12 x = 36512

36512 / 365.12 = x

x = 100

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Answer:

Step-by-step explanation:

Answer:

a. 49 ft (nearest ft)

b. 24.5 sec

Step-by-step explanation:

a. work out TOP

[tex] \sqrt{ {45}^{2} + {20}^{2} } \\ = 49.24 \\ = 49[/tex]

b.

[tex] \frac{49}{2} \\ = 24.5[/tex]

divide by 2 coz its 2 ft per second. so 49 ft for 24.5 sec

Answer:

49 feet

25 seconds

Step-by-step explanation:

use the pythagorean theorem

a² + b² = c²

20² + 45² = c²

400 + 2,025 = c²

2425 = c²

Take the square root of both sides

c = 49.244289009

Rounded

49 feet

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

time

t = 49 /2

t = 24.5 seconds

Rounded

25 seconds

Answer:

6x+30<102

0 ≤ x ≤ 12 gives all possible solutions for this problem.

Answer:

Your total would be 180 so with the extra you could donate or something like that

Step-by-step explanation:

I hope this helped:)

Answer:

c I am pretty sure of deep nuts u am playin it c

Answer:

See explanation

Step-by-step explanation:

Rules to follow when rounding

1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Eg: 56 rounded to the nearest ten is 60

2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 23 rounded to the nearest ten is 20

3. All the numbers to the right of the place you are rounding to become zero

1.Round 3 601 111 to the nearest million

= 4,000,000

2. Round 17.81 to the nearest whole number

= 18

An whole number is a number without a decimal point

3. Round 59.52 to the nearest 1 d.p.

= 59.5

1 d.p means one digits after the decimal point

4. Round 7.176 to the nearest 2d.p.

= 7.18

2 d.p means two digits after the decimal point

Answer:

[tex]\frac{686\pi }{3}[/tex] or 718.3775

Step-by-step explanation:

Formula:

[tex]\pi r^2\frac{h}{3}[/tex]

we have

[tex]\pi *7^2*\frac{14}{3}= \frac{686\pi }{3}[/tex]

Answer:

[tex]g = 18p[/tex] --- A

[tex]g = 10p[/tex] ---- B

Step-by-step explanation:

Given

[tex]Package\ A: 18\ soda[/tex]

[tex]Package\ B: 10\ soda[/tex]

Required

The equation of both packages

The given details represent the number of sodas in each package.

So, the equation of A is:

[tex]g = 18p[/tex]

And the equation of B is:

[tex]g = 10p[/tex]

Answer:

area=3.14 yd^2

Step-by-step explanation:

radius=diameter/2

=2/2

=1

area =π*r^2

=3.14&1

=3.14 yd^2

Answer:

3.14 yd^2

Step-by-step explanation:

First we need to find the radius

r = d/2 = 2/2 =1 yd

The area of a circle is given by

A = pi r^2

   = 3.14 ( 1)^2

   = 3.14 yd^2

Answer:

12 months

Step-by-step explanation:

community gym = 50 + 50x

workout gym = 170 + 40x

you need to find out how many months it will take for them to be equal, so:

50+50x = 170+40x

solve for x

10x = 120

x = 12

after 12 months, they will cost the same

Answer:

Step-by-step explanation:

Angle UTV is a central angle. The rule is that the measure of a central angle is the same as the measure of the arc its rays intercept. Angle UTV intercepts arc UV which measure 68 degrees. Therefore, angle UTV also measures 68 degrees.

As far as the next angle goes, angle VUW, the rule is that the measure of the angle is half the measure of the arc it intercepts. So angle VUW = 34 degrees

Answer:

Amount saved = £ 303.80

Step-by-step explanation:

Original Price = £980

After 25% discount :

                            [tex]980 - (25 \% \times 980) = \£ 735[/tex]

On the final day further discount of 8%.

That is ,

       [tex]735 - (8 \% \times 735) = \£ 676.20[/tex]

Total savings if buying on the final day of sale = 980 - 676.20 =£303.80  

Answer:

Y = +- √ x - 5

Step-by-step explanation:

1. write f (x) = x^2 +5 as an equation (y = x^2 + 5)

2. interchange the varibles (x = y^2 + 5)

3. Solve for Y

Answer:

[tex]x = 6.99in[/tex]

Step-by-step explanation:

Given

[tex]l =2in[/tex]

[tex]Volume = 72.66in^3[/tex]

See attachment for prism

Required

Find x

The prism has a regular hexagon base

The base area is calculated as:

[tex]Base\ Area= \frac{3\sqrt 3}{2}l^2[/tex]

This gives:

[tex]Base\ Area= \frac{3\sqrt 3}{2} * 2^2[/tex]

[tex]Base\ Area= \frac{3\sqrt 3}{2} * 4[/tex]

[tex]Base\ Area= 3\sqrt 3 * 2[/tex]

[tex]Base\ Area= 6\sqrt 3[/tex]

Side x represents the height.

So, we have:

[tex]Volume = Base\ Area*x[/tex]

Make x the subject

[tex]x = \frac{Volume }{ Base\ Area}[/tex]

[tex]x = \frac{72.66in^3}{6\sqrt 3 in^2}[/tex]

[tex]x = \frac{72.66}{6\sqrt 3}in[/tex]

[tex]x = \frac{12.11}{\sqrt 3}in[/tex]

[tex]x = 6.99in[/tex] --- approximated

Experimental probability of the name Alex being drawn is 4/10

This is because out of the ten times a name was drawn, Alex was drawn four times.

If the experiment was repeated 1,000 times, Ella's name could be expected to be drawn 200 times.

This is because of the ten names drawn, Ella's name was drawn twice which is 20% and 20% of 1,000 is 200.

Answer:

Volume of square based pyramid = 116.62 cm³

Step-by-step explanation:

Given:

Perimeter of square base = 16.9 cm

Height of pyramid = 19.6 cm

Find:

Volume of square based pyramid

Computation:

Perimeter of square base = 16.9 cm

4[Side] = 16.9

Side = 4.225 cm

Area of square = Side x Side

Area of square = 4.225 x 4.225

Area of square = 17.85 cm²

Volume of square based pyramid = [Area of square][Height of pyramid] / 3

Volume of square based pyramid = [17.85][19.6] / 3

Volume of square based pyramid = 349.86 /3

Volume of square based pyramid = 116.62 cm³

Answer:

1/6

Step-by-step explanation:

We know that a die has 6 sides. What would be the probability to roll 1 of those sides? (to rephrase the question)

well. the probability to roll one of the sides on a 6 side dice is 1/6, 1 side on the 6 sided die.

Answer:

1/6

Step-by-step explanation:

There are six possible outcomes when rolling a die

1,2,3,4,5,6

P(rolling a 2) = number of outcomes that is a 2/ total outcomes

                     = 1/6

Step-by-step explanation:

The formula for the lateral area of a right cone is :

LA = rs

Where

r is the radius of the base and s is the slant height of the cone

Equivalent expression,

[tex]r=\dfrac{LA}{s}[/tex]

or

[tex]s=\dfrac{LA}{r}[/tex]

Hence, this is the required solution.

In this exercise we have to use the formula for volume of the cone and we find that:

[tex]s=\frac{LA}{r}[/tex]

The formula for the lateral area of a right cone is :

LA = rs

Where:

Equivalent expression is:

[tex]s=\frac{LA}{r}[/tex]

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Answer:

45 degrees

Step-by-step explanation:

Since we have a right triangle, we use the appropriate trigonometric ratio

The angle marked P faces QR and that makes it the opposite side

PR faces the right angle and that makes it the hypotenuse

The trigonometric ratio that links the opposite and the hypotenuse is the sine

It is the ratio of the opposite to the hypotenuse

Thus;

sin P = √26/2 √13

Sin P = √2/2

P = arc sin √2/2

P = 45 degrees

Answer:

SA=376.9911184cm^2

Step-by-step explanation:

SA=2πrh+2πr^2

376.9911184cm^2=(2*π*5*7)+(2*π*5^2)

Answer:

0.58823529411

Answer:0.8

Step-by-step explanation:

Answer:

Answer Expert Verified

Given; prove; statements; and reasons. Explanation: The given is important information we are given at the beginning of the proof that we will use in constructing the proof. The "prove" is the statement we are trying to prove

Answer:

Sample Response: Proofs contain given information and a statement to be proven. You use deductive reasoning to create an argument with justification of steps using theorems, postulates, and definitions. Then you arrive at a conclusion.

Step-by-step explanation:

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