Number 36 please for geometry

Number 36 Please For Geometry

Answers

Answer 1

Answer:

(x - 1)² + (y + 1/2)² = 65/4

Step-by-step explanation:

Given:  the endpoints of the diameter are (3, 3) and (-1, -4).  a( To determine the center of this circle, find the midpoint of the line segment connecting these two points:

      3 - 1

x = -----------

          2

and

         -1

y = ----------

          2

The center is at x = 1 and y = -1/2:  (1, -1/2).

b) The radius is half the diameter.  The diameter is the distance between the two endpoints given, that is, the distance between (-1, -4) and (3, 3):

diameter = √(4² + 7²) = √(16 + 49) = √65; therefore,

radius = (1/2)√65.

square of the radius = r² = 65/4

The general equation of a circle with center at (h, k) and radius r is

(x - h)² + (y - k)² = r².  In this case, the equation is:

(x - 1)² + (y + 1/2)² = 65/4


Related Questions

based on the given angle measures what is the measure of QRS

Answers

Answer:

∠QRS = 114°

Step-by-step explanation:

Note that the external angle ∠QRS is equal to the sum of the 2 opposite interior angles, hence

∠QRS = ∠PQR + ∠QPR = 52° + 62° = 114°

Final answer:

The measure of angle QRS in a triangle depends on the properties of the triangle and measurements of other angles. Without additional information, it's impossible to provide a definitive measure for angle QRS. A triangle's total angles are always 180 degrees.

Explanation:

In order to answer your question about the measure of ∠QRS, we first need information about the other angles in the triangle or the property that defines this triangle. For instance, if we know that this is a right-angle triangle and we have the measure of one of the other angles, we can easily find ∠QRS as a triangle's total angles are always 180 degrees. Alternatively, if this is an equilateral triangle, then all angles measure 60 degrees. Without more specific information, it is impossible to definitively state the measure of ∠QRS.

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what is the the MAD of 45.1 ? Or 45.1 rounded to the nearest tenth ?

Answers

Answer:

you have the rounded part already rounded how it should be. for the mad I need a list of numbers. sorry!!

Fifty people were surveyed about their favorite flavor of frozen yogurt. The results of the survey are displayed in the circle graph.

How many people prefer banana?



WORTH 20 POINTS!!! Pls help!

Answers

incomplete answer, we need to see the graph

Answer:

Step-by-step explanation:

18% of 50 people said they liked strawberry. The word 'of' in math means multiply, so 18%•50 or .18•50. Multiply them together: .18•50=9.00 or just 9. 9 people like strawberry ice cream :)

Brainliest + Points! Mathematicians needed please

If your projected earnings in 10 years are $36,000 per year, what would you save in one year according to the 10% rule?

A.
$360

B.
$720

C.
$3,600

D.
$7,200

Answers

Answer:

the correct answer is C). 3,600

Step-by-step explanation:

divide 36,000 by 10 and you get your answer hope this helps

p.s. you,re pretty

It might be C because you need to divide 36,000 with 10

Which equation represents a line parallel to the line shown on the graph?

Answers

The correct answer is:

y = -4x + 3

Answer:

The equation "y = -4 x + 3" represents a line parallel to the line shown on the graph.

Step-by-step explanation:

The line shown on the graph corresponds to the equation "y = -4 x + 8".

All linear functions with the same slope are represented by parallel lines.

The slope of the function of the graph is -4 and the slope function of the answer is -4, too. Therefore both of them represents parallel lines.

The function "y = 4 x - 1" has got different slope, so it represents a different line.

Please explain this to me too it would be helpful 44 points

Answers

Answer:

A. 72 in^2.

Step-by-step explanation:

What you do is you have to use the formula for a surface area of a rectangular prism which is:

A=2(wl+hl+hw).

Your height is 3 inches.

Your width is 2 inches.

Your length is 6 inches.

You will plug that into the formula.

A=2(2*6+3*6+3*2).

A=2(12+18+6)

A=2(36)

A=72 in^2 is your answer.

Answer:

The Surface Area is 72 square inches

Step-by-step explanation:

2*3=6 and 6*2=12

2*6=12 and 12*2=24

6*3=18 and 18*2=36

36+24+12=72

a motor boat traveld -34 miles per hour for o.75 miles . how far did it go?

Answers

Answer:

It could not have gone anywhere. It is impossible to travel negative miles per hour.

However if it was traveling 34 mph for 0.75 miles then it would go 25.5 miles

Help I will rate brainliest

Answers

The product of 167 and [tex]b[/tex] is [tex]167b[/tex]

65 less than this quantity is [tex] 167b-65[/tex]

Find the circumference of the circle to the nearest tenth. Use 3.14 for pi.

Answers

Answer:

circumference of the circle [tex]=18.8m[/tex]

Step-by-step explanation:

Given radius = r = 3m {From comment section}

We need to find the circumference of the circle to the nearest tenth. Question also says to use 3.14 for pi.

Apply formula of circumference of the circle.

circumference of the circle [tex]=2\pi r[/tex]

circumference of the circle [tex]=2(3.14)(3m)[/tex]

circumference of the circle [tex]=18.84m[/tex]

Rounding that to nearest tenth, we get:

circumference of the circle [tex]=18.8m[/tex]

please help
A. 2÷8
B. 1÷2
C. 1/8 ÷ 2
D. 2 + 1/8​

Answers

It’s c 1/8 divided by 2

Answer:

It's C. 1/8 ÷ 2

which of the following number lines models the expression -5 + 6?​

Answers

A because it equals 1 and it goes up.hope this helps :)

Answer:

THE FIRST ONE!! HOPE THIS HELPS!

Step-by-step explanation:

Pleasee Helppppp!!!!!!!

Answers

Answer:

Go to brainfuse.com

Step-by-step explanation:

This website will give you one on one tutoring for free (they won't see your face!)

The depth of the snow at Yellowstone National Park in April at the lower geyser basin was normally distributed with a mean of 3.9 inches and standard deviation of 0.52 inches. What value is two standard deviations above the mean?

Answers

Final answer:

The value that is two standard deviations above the mean for the depth of snow at Yellowstone's lower geyser basin is calculated to be 4.94 inches.

Explanation:

To find the value that is two standard deviations above the mean in a normally distributed set of data, you simply add two times the standard deviation to the mean. Given that the mean depth of snow at Yellowstone's lower geyser basin is 3.9 inches with a standard deviation of 0.52 inches, we perform the following calculation:



Value = Mean + (2 × Standard Deviation)

Value = 3.9 + (2 × 0.52)

Value = 3.9 + 1.04

Value = 4.94 inches



Therefore, two standard deviations above the mean is 4.94 inches of snow.

The value that is two standard deviations above the mean depth of the snow at Yellowstone National Park in April at the lower geyser basin is 4.94 inches.

The value that is two standard deviations above the mean is calculated as follows:

- Mean= 3.9 inches

- Standard deviation = 0.52 inches

To find the value that is two standard deviations above the mean, we multiply the standard deviation by 2 and then add this to the mean:

- Value = Mean + (2 × Standard deviation)

- Value = 3.9 + (2 × 0.52)

- Value = 3.9 + 1.04

- Value = 4.94 inches

factor mn–mk+xk–xn PPPPPPPLEEEES HELP

Answers

mn - mk + xk - xn

mn - xn - mk + xk

n(m - x) - k(m - x)

(n - k) (m - x)

//Hope it helps.

Answer: (n-k)(m-x)

Step-by-step explanation:

mn - mk + xk - xn

mn - xn - mk + xk

n(m - x) - k(m - x)

(n - k) (m - x)

The price of a house is originally listed at $200,000. The owners are having a hard time selling it and decided to reduce the price to $190,000. What is the percent decrease of the price of the house?​

Answers

Answer:

5%

Step-by-step explanation:

The volume of a cube is 27 cubic inches. What is the length of an edge? Explain.

Answers

Answer:

3 in

Step-by-step explanation:

The formula of a volume of a cube:

[tex]V=a^3[/tex]

a - length of an edge

We have V = 27 in³. Substitute:

[tex]a^3=27\to a=\sqrt[3]{27}\\\\a=3\ in[/tex]

Given: PKHE - inscribed, m∠E=120°,
m∠EPK=51°, PF ∥ EH .
Find: m∠KPF, m∠H.

Answers

m∠KPF = 29°, m∠H = 129°. Using angle properties, we found m∠KPF by subtracting known angles from 360° and m∠H by alternate interior angles.

To solve this problem, we'll use several properties of angles in circles, particularly those formed by chords, secants, and tangents intersecting inside or outside a circle.

Given:

- PKHE is an inscribed quadrilateral.

- ∠E = 120°.

- ∠EPK = 51°.

- PF is parallel to EH.

We need to find:

- m∠KPF

- m∠H

Let's start by drawing the situation:

        P

       / \

      /   \

     /     \

    /_______\

   E         H

      K

Step 1: Determine m∠KPE

Since PF is parallel to EH, we have alternate interior angles:

m∠KPE = m∠EPK = 51°

Step 2: Find m∠KEH

Inscribed angle ∠KEH is half the measure of its intercepted arc, ∠E. So:

m∠KEH = 1/2× m∠E = 1/2× 120° = 60°

Step 3: Find m∠KPH

∠KPH is an exterior angle to triangle KPE:

m∠KPH = m∠KPE + m∠KEH

        = 51° + 60°

        = 111°

Step 4: Find m∠KPF

In quadrilateral KPFH, the sum of angles is 360°. So:

m∠KPF + m∠KPH + m∠E + m∠H = 360°

m∠KPF + 111° + 120° + m∠H = 360°

m∠KPF + m∠H = 360° - 111° - 120°

m∠KPF + m∠H = 129°

We'll use this relationship in the next step.

Step 5: Find m∠H

Using the fact that PF is parallel to EH, we have alternate interior angles:

m∠H = m∠KPF = 129°

Step 6: Find m∠KPF

From step 4:

m∠KPF + m∠H = 129°

m∠KPF + 129° = 129°

m∠KPF = 0°

So, the final answers are:

- m∠KPF = 0°

- m∠H = 129°

HELP ME PLZ
*******************

Answers

Answer:96 km/h

Step-by-step explanation:

I need help can anybody help me ?

Answers

Answer:

i think b but its probably wrong knowing my luck

Step-by-step explanation:

Which expressions below are equivalent to
2(2x + 1)?
Select all that apply.
A. 4x + 2
B. 2(1 + 2x)
C. 2(2x) +1
D. 2x + 1 + 2x + 1
E. x + x + x + x +1+1

Answers

Final answer:

The expressions A (4x + 2), B (2(1 + 2x)), D (2x + 1 + 2x + 1), and E (x + x + x + x +1+1) are equivalent to the given expression 2(2x + 1).

Explanation:

The expressions equivalent to 2(2x + 1) are the ones that, when simplified, result in equivalent algebraic outputs. Let's verify this step-by-step:

A. 4x + 2: This simplifies to 4x + 2 which is the simplified version of the expression 2(2x + 1).B. 2(1 + 2x): This simplifies to 4x + 2 as well, since the distributive property permits the rearranging of the expression.C. 2(2x) +1: This simplifies to 4x + 1 which is not equivalent to the original expression 2(2x + 1).D. 2x + 1 + 2x + 1: This simplifies to 4x + 2, so it is also equivalent. E. x + x + x + x +1+1: This also simplifies to 4x + 2, making it equivalent as well.

Hence, the expressions that are equivalent to 2(2x + 1) are A, B, D, and E.

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Final answer:

The expressions that are equivalent to 2(2x + 1) are A. 4x + 2 and B. 2(1 + 2x).

Explanation:

The expression 2(2x + 1) can be simplified by distributing the 2 to both terms in the parentheses. This gives us 2 * 2x + 2 * 1, which simplifies to 4x + 2. Therefore, option A (4x + 2) is equivalent to 2(2x + 1).

We can also distribute the 2 to the terms inside the parentheses in option B (2(1 + 2x)). This gives us 2 * 1 + 2 * 2x, which simplifies to 2 + 4x, also equivalent to 2(2x + 1).

Option C (2(2x) + 1) is not equivalent because it simplifies to 4x + 1, not 2(2x + 1).

Option D (2x + 1 + 2x + 1) is not equivalent because it simplifies to 4x + 2, not 2(2x + 1).

Option E (x + x + x + x + 1 + 1) is not equivalent because it simplifies to 4x + 2, not 2(2x + 1).

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Given: Tangents
LA
and
LB

m∠AOB=110°
Find: m∠ALO.

Answers

Answer:

m<ALO=35°

Step-by-step explanation:

we know that

The right triangle AOL is congruent with the right triangle BOL

because

OA=OB=radius of the circle

OL is a common side

LA=LB ---> by applying the Pythagoras theorem

therefore

m<AOL=m<AOB/2

m<AOL=110°/2

m<AOL=55°

Remember that

m<AOL+m<ALO=90° ------> by complementary angles

m<ALO=90°-55°=35°

Choose 3 answers please!!

Answers

Answer:

The answers are C, D, and E.

Step-by-step explanation:

10% of 33 is 10%×33

10% = [tex]\frac{10}{100}[/tex] = [tex]\frac{1}{10}[/tex] = 0.1

You can plug in [tex]\frac{10}{100}[/tex], [tex]\frac{1}{10}[/tex], and 0.1 into 10%×33 for 10%.

[tex]\frac{10}{100}[/tex]×33 = E

[tex]\frac{1}{10}[/tex]×33 = C

0.1×33 = D

The answers are C, D, and E.

π is the ratio of _______________ to _______________.

Answers

Answer:

circumference of any circle to the diameter of that circle.

π is the ratio of a circle’s circumference to its diameter.

Sidney is making greeting cards, which she will sell by the box at an arts fair. She paid $32 for a booth at the fair, and the materials for each box of cards cost $3. She will sell the cards for $11 per box of cards. At some point, she will sell enough cards so that her sales cover her expenditures. How many cards will that take? How much will the sales and expenditures be?

Answers

So think of it like this she starts off $32 negative and subtract 3 from each box of cards she makes . So each box of cards she will make $8 that being said

32/8 =4 (it will take 4 box of cards to pay off her booth expense).

Sales would be 11x 4 =44

Expenditures would be 3x4 =32 (the amount used to make cards ) +32(the amount paid for the booth)

Which in total would be $64

Sidney needs to sell [tex]\( \boxed{4} \)[/tex] boxes of cards to cover her expenditures, totaling [tex]\( \$44 \)[/tex] in sales and expenditures.

To determine when Sidney's sales will cover her expenditures, we set up the following equations:

1. Cost equation:

  Total cost C consists of booth cost [tex]\( \$32 \)[/tex] plus material cost [tex]\( \$3 \)[/tex] per box:

  [tex]\[ C = 32 + 3n \][/tex]

  where n is the number of boxes of cards sold.

2. Revenue equation:

  Total revenue [tex]\( R \)[/tex] is obtained from selling each box for [tex]\( \$11 \)[/tex] :

  [tex]\[ R = 11n \][/tex]

3. Break-even point:

  To find when sales cover expenditures, set [tex]\( R = C \)[/tex]:

  [tex]\[ 11n = 32 + 3n \][/tex]

  Simplify and solve for n :

  [tex]\[ 11n - 3n = 32 \][/tex]

  [tex]\[ 8n = 32 \][/tex]

  [tex]\[ n = \frac{32}{8} = 4 \][/tex]

4. Calculation:

  - Number of cards: Sidney needs to sell 4 boxes of cards.

  - Sales: Total revenue [tex]\( R \)[/tex] at break-even point:

    [tex]\[ R = 11 \cdot 4 = \$44 \][/tex]

  - Expenditures: Total cost C at break-even point:

    [tex]\[ C = 32 + 3 \cdot 4 = \$44 \][/tex]

Sidney will cover her expenditures after selling 4 boxes of cards, where her total revenue from sales equals her total costs, including booth fees and material costs. This ensures she breaks even in terms of financial outlay versus income from sales.

Sidney needs to sell 4 boxes of cards to cover her expenditures, resulting in total sales of [tex]\( \$44 \)[/tex] and total expenditures of [tex]\( \$44 \)[/tex].

A blueprint is a scale drawing of a building. The dimensions of the blueprint for Patricia's doll house are 1/4 of the measurements of the actual doll house. The floor of the doll house has an area of 864 square inches. If the width of the doll house is 2/3 the length, what are the dimensions of the floor on the blueprint of the doll house?

Answers

Answer:

Length: 9 inches.

Width: 6 inches.

Step-by-step explanation:

Find the dimensions of the floor of the doll house.

Apply the formula:

[tex]A=lw[/tex]

Where  A is the area, l is the lenght and w is the width.

You know that:

[tex]A=864\\w=\frac{2}{3}l[/tex]

Then you can solve for l:

[tex]864=l(\frac{2}{3}l)\\\\864=\frac{2}{3}l^2\\\\l=\sqrt{\frac{864*3}{2}}\\\\l=36in[/tex]

Then the width is:

[tex]w=\frac{2}{3}(36)=24in[/tex]

Therefore, the dimensions of the floor on the blueprint of the doll house are:

[tex]l'=\frac{1}{4}(36in)=9in\\\\w'=\frac{1}{4}(24in)=6in[/tex]

Answer:

Step-by-step explanation:

The actual dollhouse floor measurements were figured out to be 24 by 36.

24x36 = 864 square inches for the area, which matches to the problem.

The blueprint measurements are to be 1/4 of the actual measurements, so 1/4 of 24 is 6, and 1/4 of 36 is 9.  Therefore, the scaled down measurements of the dollhouse floor are 6x9, which supposedly solves the problem.

But my family and I wondering -- if the actual floor area is 864, and the scaled down drawing is supposed to be 1/4 the size of the actual, then shouldn't the scaled down blueprint area be 1/4 of 864, so 216??

And 6x9 equals 54, not 216!  

What are we missing??

PLEASE HELP!!! (picture included!)
choose the equation below that represents the line passing through the point (-5,1) with a slope of 3/2

Answers

Answer:

D

Step-by-step explanation:

To find the equation of the line, substitute the point (-5,1) and the slope 3/2 into the point slope form [tex]y - y_1 =m(x-x_1)[/tex].

The equation is [tex]y - 1 = \frac{3}{2}(x --5)\\y - 1 = \frac{3}{2}(x+5)[/tex]

A rectangular prism has a length of 6 cm, a width of 3 cm, and a height of 45 cm
The prism is filled with cubes that have edge lengths of
cm.
How many cubes are needed to fill the rectangular prism?

Answers

Answer:

if they have sides of 1, its 810

Step-by-step explanation:

we find the volume of the prism by using formula l x h x w

we plug it in 6 x 45 x 3. this equals 810. if the cubes have sides of 1, we do 1 x 1 x 1 to get the volume one, divide it from 810 to get 810 .

W is the midpoint of VX. What is VX if VW=2x+5 and WX =4x-3

Answers

Answer:

VX = 26

Step-by-step explanation:

If W is the midpoint of VX then VW = WX. Therefore we have the equation:

2x + 5 = 4x - 3          subtract 5 from both sides

2x = 4x - 8       subtract 4x from both sides

-2x = -8        divide both sides by (-2)

x = 4

VX = VW + WX

VX = 2x + 5 + 4x - 3 = (2x + 4x) + (5 - 3) = 6x + 2

Put the value of x = 4 to 6x + 2:

VX = 6(4) + 2 = 24 + 2 = 26

Final answer:

The length of line segment VX, given W is the midpoint and the lengths of VW and WX are represented by 2x+5 and 4x-3 respectively, is 26 units.

Explanation:Solution

In the given problem, W is the midpoint of VX. This indicates that VW is equal to WX. So, we can set up an equation using the given expressions for VW (2x+5) and WX (4x-3).

We have:
2x+5 = 4x-3

By rearranging the terms, we can find the value of x:
2x-4x = -3-5
-2x=-8
x = 4

Substitute x=4 in either VW or WX to find the length of half of VX: 2x+5 = 2*4+5 = 13.

Since W is the midpoint, VW = WX, so VX = VW + WX = 13 + 13 = 26.

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Really need help on this please

Answers

Answer:

98,470.4 cubic cm

Step-by-step explanation

Write and solve an equation to find the measure of the unknown angle.​

Answers

Two angles on a straight line will always equal 180 when combined.

180 - 45 = x

X = 135

Answer:

135°

Step-by-step explanation:

These two angles, 45° and x, are "supplementary," which means that they add up to 180°.

Thus, x = 180° - 45° = 135°

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