Mathematics High School

What is the equation of the circle?

Answers

Answer 1

Answer:

x² + y² = 3

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius )

Using Pythagoras' identity in right triangle CRT

CR² = 1² + ([tex]\sqrt{2}[/tex] )² = 1 + 2 = 3 ( take the square root of both sides )

CR = r = [tex]\sqrt{3}[/tex] , then

x² + y² = ([tex]\sqrt{3}[/tex] )² , that is

x² + y² = 3

Related Questions

The events x and y have a correlation coefficient of r = -0.08. What is the relationship between x and y?

Answers

Answer:

Very weak negative correlation/trend

Step-by-step explanation:

There's a very weak negative correlation between events x and y, given that r is negative, and the fact that r is very close to 0.

Raymond used 36 cubes to build the first layer of a rectangular prism. The edge length of each cube was 1 inch. The finished prism had a total of 8 layers. What is the volume of Raymond's prism in cubic inches?

Answers

Answer:

[tex]Volume = 288in^3[/tex]

Step-by-step explanation:

Given

[tex]Base\ Cubes = 36[/tex]

[tex]Layers = 8[/tex]

Required

The volume of the prism

The number of base cubes represents the base area and the number of layers represents the height of the prism.

So, the volume is calculated as:

[tex]Volume = Base\ Cubes * Layers[/tex] i.e Base Area * Heights

[tex]Volume = 36 * 8[/tex]

[tex]Volume = 36in^2 * 8in[/tex]

[tex]Volume = 288in^3[/tex]

Mrs. Logan traveled at an average speed of 55 miles per hour for 3.5 hours and then traveled at an average speed of 60 miles per hour for 2.5 hours. What was the total distance in miles that Ms. Logan traveled during this time?

Answers

Answer:

55 mph for 3.5 hours would be 192.5 miles. 60 mph for 2.5 hours would be 150 miles. The total of mile Ms. Logan went is 342.5.

i need help with this

Answers

Answer:

I believe H is the answer.

Step-by-step explanation:

Double checking.

Select an equation that is equivalent to a^2-144b^2 a) (a-12b)^2 B) (a+12b)^2 C) (a-12b)(a+12b) C) a^2-24ab+144b^2

Answers

Answer:

C) (a-12b)(a+12b)

Step-by-step explanation:

a^2-144b^2 = (a-12b)(a+12b)

This is the formula that when two terms squared are written with a minus sign between them their factors are the product of the original numbers once with a plus sign and once with the minus sign.

This can be explained by multiplying them.

(a-12b)

*(a+12b)

a²- 12ab

+12ab - 144b²

a² +0 - 144b²

We see we get the same answer as applying the formula above.

A spinner and 4 cards are shown below:
A spinner with 5 equal sectors is shown in the figure. The colors Green, Blue, Purple, Yellow, and Red are marked on it. The arrow points at the purple color. Four cards are shown on the right side. The colors Red, Yellow, Blue, and Pink are marked on them.

Jane spins the spinner and selects a card without looking. What is the probability that the spinner stops at purple and a pink card is selected?

1 over 20
1 over 5
1 over 4
9 over 20

Answers

Answer: 1 over 20

Step-by-step explanation: If the spinner has 5 parts to it at purple is one of those parts then the spinner has a 1/5 chance of it landing there.

If there are 4 cards and 1 of them are pink then there is a 1/4 chance of picking pink(if done randomly)

So if we mutiply 1/4 and 1/5, we get 1/20

That is how I arrived at my answer of 1 over 20

can someone plz plz plz help me?????

Answers

a) x+1+x+1+x+1+x+1=56 x=6.5

b) 2(6.5)+1=14cm

Find mAB.

I need help!

Answers

Answer:

Im working on it hold tight!

Step-by-step explanation:

Please help with math

Answers

Answer:

I think it is 3/3

Step-by-step explanation:

Find the circumference of the circle below. Hint: Use 3.14 for π.)

Use numbers only in your answer.

The circumference is
yd.

Answers

Answer:

[tex]\boxed {\boxed {\sf 163.28 \ yards}}[/tex]

Step-by-step explanation:

The circumference of a circle is the distance around the circle, or the perimeter. It is the product of pi and the diameter.

[tex]c= \pi \times d[/tex]

The diameter is the distance from one side to the other through the center. If we look at the circle given, we see the diameter must be 52 yards.

d= 52 yd

Also, remember we are using 3.14 for pi.

[tex]\pi[/tex]= 3.14

Substitute these values into the formula.

[tex]c= 3.14 * 52 \ yd[/tex]

Multiply.

[tex]c=163.28 \ yd[/tex]

The circumference of the circle is 163.28 yards.

Answer:

[tex]\large\fbox{\purple{\underline{Circumference of circle is 163.28 yards}}}[/tex]

Step-by-step explanation:

In the question we have given

Diameter of circle is 52 yards

And Value of π = 3.14

We know that

Circumference of circle = π × diamter

putting the values

Circumference = 3.14 × 52 yards

by mutiplying we get,

Circumference of circle = 163.28 yards

Therefore, Circumference of circle is 163.28 yards

Ty Given that the mzx is 30° in the diagram above, find the m_y.

Answers

9514 1404 393

Answer:

y = 30°

Step-by-step explanation:

Angles x and y are "vertical" angles, so are congruent.

x = y = 30°

Jason is building a toy box for his little brother Tom. He has painted all six pieces of wood on the outside only. How much area did Jason paint if the lid has a length of 3.5 feet and a width of 3.5 feet and the toy box is 2 feet tall?

Answers

Answer:

52.5 feet

Step-by-step explanation:

3.5x2.5x2=52.5

Decrease 117 kg in the ratio 10:13

Answers

Answer:

90kg

Step-by-step explanation:

it is so because, to decrease a number by a ratio you have to multiply with the smallest number and divide with the biggest one. For example 117 in the ratio 7:3. 117×3=351 which is divided by 7 and is equal to 50.14.

The value 117kg decreased in the ratio 10:13 will be 90kg

Ratios and proportion

Given the ratio 10:13. To reduce 117kg in this ratio, we will follow the steps:

Step 1: Multiply 117 by the smallest value

117 * 10 = 1170

Step 2: Divide the result by the largest value to have:

Value = 1170/13

Value = 90kg

Hence the value 117kg decreased in the ratio 10:13 will be 90kg

Learn more on decrement here: https://brainly.com/question/2328454

Need help with this question asap please please

Answers

Answer:

M< D = 105⁰

Step-by-step explanation:

the sum of the opposite angles of a cyclic quadrilateral is 180⁰

hence, <ADC + <ABC = 180⁰

<ADC + 75⁰ = 180⁰

<ADC = 180⁰ - 75⁰

< ADC= 105⁰

Evaluate 8 + w/4 when w = 16 (please help_

Answers

8 + [tex]\frac{w}{4}[/tex] = 8 + [tex]\frac{16}{4}[/tex] = 8 + 4 = 12

Reflect the point (3,6) across the x axis

Reflect the point (3,6) across the y axis

Answers

Answer:

(3, -6) reflected across the x axis

(-3, 6) reflected across the y axis

Step-by-step explanation:

What is the value of x? Round to the nearest tenth

Answers

Answer:

x = 8

Hope this helps!

Marty was renting a boat and wanted to get the best plan. Rental and plan A charges a fee of $50 plus $25 per hour. Plan B charges a fee of $10 plus $35 per hours. Write a system of equations that represent the situation above.

Answers

Answer:

Step-by-step explanation:

does anyone know the answer?

Answers

Answer:

Step-by-step explanation:

Answer:

It's E l did that before

Three fish are swimming at three different elevations: -1 foot, -5 feet, and - 8 feet. Which fish is closest to the surface of the water? How do you know?

Answers

Answer:

Fish with -1 foot

Step-by-step explanation:

- = under

+= above

If you set your water level to 0 then:

-1 +0 = -1 so the fish is 1 foot under the water level

-5 +0 = -5 do the fish is 5 foot under the water

And the last fish either jumped super high or it was hanging on a fishing line becouse it was 8 feet above the water level

So the fish that was the closes to the water level was the fish with -1

Are there any properties that hold for base - 10 logarithms that would not be valid for the logarithm base e ? Why ? Are there any properties that hold for base - 10 logarithms that would not be valid for some positive base b, such that b ≠ 1 ?

Answers

Answer:

nhuxu

Step-by-step explanation:

vxxgfx

45% of Ms. Stacey's students will go on a field trip to the museum. If 90 of Ms. Stacey's students went to the museum field trip how many students does she have overall? A. 40.5 B. 50 C. 200

Answers

Answer:

Step-by-step explanation:

Number of students = number of students that went to the museum / percentage of students that went to the museum

90 / 0.45 = 200 students

i need all the steps to the solution

Answers

Answer:

,,,,,, ,,,,,,,,,,,,,,,,,,

This is the answer if you’re doing it by “solve the system of inequality”

What is the measure of ∡U in the figure shown? ∘

Answers

Answer:

∠ U = 70°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

120° is an exterior angle of the circle , then

∠ U + 50° = 120° ( subtract 50° from both sides )

∠ U = 70°

Solve this 15 points HURRY UP

Answers

Answer:

Step-by-step explanation:

I think it is 23 so try this

Answer:

it's like calculating a volume in a prisim

14×6×6

504

jamie is in charge of covering the display box in felt including the bottom what is the total area to be covered

a.23
b.176
c.172
d.1260

Answers

Answer:

c. 172 in^2

I did this!

The surface area of the solid is 176 in².

What is surface area?

Surface area is the amount of space covering the outside of a three-dimensional shape.

Given that a solid figure made by joining two cuboids, we need to find the total surface area of the solid,

So, we will find the TSA of lower and upper cuboids and then minus the base area of the upper cuboid as it is a overlapping,

Also, the formula used for TSA of a cuboid = 2(LH + WH + LW)

L = length, W = width and H = height,

So,

TSA = 2(7·3 + 3·5 + 5·7) + 2(4·3 + 3·1 + 4·1) - 1·4

= 2(21 + 15 + 35) + 2(12 + 3 + 4) - 4

= 2 × 71 + 2 × 19 - 4

= 142 + 38 - 4

= 142 + 34

= 176 in²

Hence the surface area of the solid is 176 in².

Learn more about surface area click;

https://brainly.com/question/29298005

#SPJ2

Which pair of expressions below are equivalent?
O 3q + 7q and 10q
O 3(79) and 10q
Oq+r+rand 3qr
3q + 7q and 10q?

Answers

Answer:

iit's the 3q+ 7q =10q one

Answer:

O 3q + 7q and 10q

3q + 7q and 10q?

i need help with this please^^

Answers

They are both 51. Because m1 is 51, and m3 is as well bc they r opposing or “vertical” angles.

Step-by-step explanation:

here's your solution

=> angle 3 and angle 8 are interior angles

we know that sum of both angle is 180°

=> angle 3 + angle 8 = 180°

=> angle 3 + 129° = 180°

=> angle 3 = 180° - 129°

=> angle 3 = 51°

now , angle 3 and angle 1 are vertical angle

hence both angle are equal

=> angle 1 = 51°

hope it helps 【€€】

PLEASE HELP NO LINKS!! The temperature change in a chemistry experiment was –2C every 30 min.
The initial temperature was 6 C. What was the temperature after 4 h?

Answers

Answer:

what do you mean

Step-by-step explanation:

Answer:

The temperature change in a chemistry experiment was -2C every 30 min. The initial temperature was +6C. What was the temperature after 4 h

4 hours = 8 half hours

0, 1, 2, 3, 4, 5, 6, 7, 8 half hours

6, 4, 2, 0, -2, -4, -6, -8, -10

-10 degrees C

The total cost of 5 boxes of pasta is $13.00. There are 12 ounces of pasta in each box. Each box of past costs the same amount.

What is the cost, in dollars, of the minimum number of boxes needed to total 48 ounces of pasta?

Answers

Answer:

minimum =4 cost= 10.40

Step-by-step explanation:

hope this helps:))

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