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Lacey has a roll of wrapping paper with 2 3/4 yards remaining. She has six boxes to wrap, each of which requires 3/8 of a yard of paper. Will Lacey have enough wrapping paper left to also wrap a book that requires 1/2 yard of paper? Support your answer by showing your work.

Check the picture below, so the circle looks more or less like that one.

well, the center of it is simply the Midpoint of those two points, and its radius is simply half-the-distance between them.

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 3 -5}{2}~~~ ,~~~ \cfrac{ 5 + 9}{2} \right)\implies \left( \cfrac{-2}{2}~~,~~\cfrac{14}{2} \right)\implies \stackrel{center}{(-1~~,~~7)} \\\\[-0.35em] ~\dotfill[/tex]

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{diameter}{d}=\sqrt{[3 - (-5)]^2 + [5 - 9]^2}\implies d=\sqrt{(3+5)^2+(-4)^2} \\\\\\ d=\sqrt{8^2+16}\implies d=\sqrt{80}\implies d=4\sqrt{5}~\hfill \stackrel{\textit{half the diameter}}{\cfrac{4\sqrt{5}}{2}\implies \underset{radius}{2\sqrt{5}}}[/tex]

Answer:

13.  [tex]x^2+y^2+2x-3\sqrt{x^2+y^2}=0[/tex]

14.  [tex]r=3\cos(\theta)-2\sin(\theta)[/tex]

Step-by-step explanation:

Question 13

Conversion from Polar equation to rectangular equation:

[tex]x=r \cos(\theta) \implies \cos(\theta)=\dfrac{x}{r}[/tex]

[tex]y=r \sin(\theta) \implies \sin(\theta)=\dfrac{y}{r}[/tex]

[tex]x^2+y^2=r^2 \implies r=\sqrt{x^2+y^2}[/tex]

Given:

[tex]r=3-2\cos(\theta)[/tex]

[tex]\textsf{Substitute }\cos(\theta)=\dfrac{x}{r}:[/tex]

[tex]\implies r=3-\dfrac{2x}{r}[/tex]

Multiply both sides by r:

[tex]\implies r^2=3r-2x[/tex]

[tex]\implies r^2+2x-3r=0[/tex]

[tex]\textsf{Substitute }x^2+y^2=r^2\:\textsf{and }r=\sqrt{x^2+y^2}:[/tex]

[tex]\implies x^2+y^2+2x-3\sqrt{x^2+y^2}=0[/tex]

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Question 14

Conversion from Rectangular equation to polar equation:

[tex]x=r \cos(\theta)[/tex]

[tex]y=r \sin(\theta)[/tex]

[tex]x^2+y^2=r^2 \implies r^2\cos^2(\theta)+r^2\sin^2(\theta)=r^2[/tex]

Given:

[tex]x^2+y^2-3x+2y=0[/tex]

[tex]\textsf{Substitute }x^2+y^2=r^2\:\textsf{and }x=r \cos(\theta)\:\textsf{and }y=r \sin(\theta):[/tex]

[tex]\implies r^2-3r\cos(\theta)+2r\sin(\theta)=0[/tex]

Factor out common term r:

[tex]\implies r(r-3\cos(\theta)+2\sin(\theta))=0[/tex]

Divide both sides by r:

[tex]\implies r-3\cos(\theta)+2\sin(\theta)=0[/tex]

Rewrite to make r the subject:

Answer:

35

Step-by-step explanation:

V=Bh

V = 6(5)

V= 35

Answer: the answer is A.  10/9 cubic in.

Step-by-step explanation:

Answer:

Step-by-step explanation:

All you have to do for this problem is take 3, over the 20, and then turn into a percent. Your final answer is D. 15%, because if you multiply 3/20 by 5, you get 15/100, which is easier to turn into a percent, leaving you with 15%

Answer:

[tex] \sf \: x = 2[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

[tex] \sf 6x+6=10x−2 [/tex]

Step 1: Subtract 10x from both sides.

[tex] \sf6x+6−10x=10x−2−10x[/tex]

[tex] \sf−4x+6=−2[/tex]

Step 2: Subtract 6 from both sides.

[tex] \sf−4x+6−6=−2−6[/tex]

[tex] \sf−4x=−8[/tex]

Step 3: Divide both sides by -4.

[tex] \sf \frac{−4x}{−4}=\frac{−8}{−4}[/tex]

[tex] \sf x=2[/tex]

Answer:

h=[tex]-\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]6h-1=-3\\6h=-2\\h=-\frac{2}{6} \\h=-\frac{1}{3}[/tex]

Answer:

Step-by-step explanation:

Isolate by the h from one side of the equation.

6h-1=-3

First, add by 1 from both sides.

[tex]\sf{6h-1+1=-3+1}[/tex]

Solve.

-3+1=-2

Rewrite the problem down.

6h=-2

Then, you divide by 6 from both sides.

[tex]\sf{\dfrac{6h}{6}=\dfrac{-2}{6} }[/tex]

Solve.

-2/2=-1

6/2=3

Rewrite as a fraction.

[tex]\boxed{\sf{h=-\dfrac{1}{3}=0.33}}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

$12

Step-by-step explanation:

3/7 of 56 = 24 hats  

24 x $3.5 = $84

The remaining hats 56-24 =32 hats

HALF of 32 =16hats

    16x$3 =$48

$84 + $48 = $132

  But he spent $120

The profit Ravi made = 132-120 = $12

Answer:

811

Step-by-step explanation:

i d k

Answer:

5x/1/2 = 1x



answer  1.12 <3


hope it helps


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Step-by-step explanation:

Answer:

(a) 8000 times 5 times 2 = 800

The z-scores for a deta seller making $13 and $17 an hour will be [tex]Z_{13}=0.5 \ \ \ Z_{17}=2.5[/tex]

The z-scores give us information about how many standard deviations from the mean the data are. This difference can be negative, if the data are n deviations to the left of the mean, or it can be positive if the data are n deviations to the right of the mean.

To calculate the Z scores, we calculate the difference between the value of the data and the mean and then divide this difference by the standard deviation.

[tex]Z=\dfrac{X-\mu}{\sigma}[/tex]

Where x is the value of the data, μ is the mean and σ is the standard deviation

In this case :

μ = 12 $/h

[tex]\sigma[/tex] = 2 $/h

We need to calculate the Z-scores for x=17 and x=13

[tex]Z_{13}=\dfrac{13-12}{2}=0.5[/tex]

[tex]Z_{17}=\dfrac{17-12}{2}=2.5[/tex]

Thus the z-scores for a deta seller making $13 and $17 an hour will be [tex]Z_{13}=0.5 \ \ \ Z_{17}=2.5[/tex]

To know more about z-Value follow

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Answer:

g is 50 degrees

g is a supplement of 130 so they add up to 180

Answer:

The angel G:
= 50 degrees

A straight line is 180 degrees. The is already an angel has shown that takes up the majority of the line which is 130 degrees.

180 degrees - 130 degrees = 50 degrees

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

-4<x≤5

Step-by-step explanation:

An open circle means 'less than' or 'greater than' while a closed cirlce means 'less than or equal to' or 'greater than or equal to'

Answer:

15:11 ,where 15 = 435

So, 11 = 435×11//15 = 29×11 = 319

Hence, No. of girls = 319

Answer:

319 girls

Step-by-step explanation:

Given

Solving

Answer:

  D. perpendicular; midpoint

Step-by-step explanation:

A perpendicular bisector is perpendicular to a line segment and intersects the line segment at its midpoint .

__

This is a vocabulary question. It is always a good idea to learn the vocabulary, so you can understand statements that make use of these words. In the attached image, the line segment containing C is the perpendicular bisector of segment AB.

The function f(x) = x² and g(x) = |x|² are the same since they both give a positive value.

From the complete information, it should be noted that the function f(x) = x² and g(x) = |x|² are the same since they both give a positive value.

Also, f(x) = x³ and g(x) = |x|³ are not equal. This is because both functions are not equal for x < 0. This can be illustrated when x = -1. In this case, f(x) = -1 and g(x) = 1.

Learn more about functions on:

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The function f(x) = x² and g(x) = |x|² are the same since they both give a positive value.

Two functions are equal if they have the same domain and codomain and their values are the same for all elements of the domain.

The function f(x) = x² and g(x) = |x|² are the same since they both give a positive value.

Also, f(x) = x³ and g(x) = |x|³ are not equal.

This is because both functions are not equal for x < 0.

This can be illustrated when x = -1. In this case, f(x) = -1 and g(x) = 1.

Hence, the function f(x) = x² and g(x) = |x|² are the same since they both give a positive value.

Learn more about functions on:

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Answer:

The correct answer is 351.

Step-by-step explanation:

We will use order of operations to solve this problem. Recall that order of operations, AKA PEMDAS, states we should simplify numeric expressions in the following order:

Parentheses

Exponents

Multiplication/Division (ordered left to right)

Addition/Subtraction (ordered left to right)

Begin by evaluating the parentheses:

[tex]2+7^3+4(9-6)^2\div6\\2+7^3+4(3)^2\div6[/tex]

Simplify the exponents:

[tex]2+7^3+4(3)^2\div6\\2+343+4(9)\div6[/tex]

Multiply:

[tex]2+343+4(9)\div6\\2+343+36\div6[/tex]

Divide:

[tex]2+343+36\div6\\2+343+6[/tex]

Add:

[tex]2+343+6\\345+6\\351[/tex]

Step-by-step explanation:

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Answer:

  10 mm

Step-by-step explanation:

You can find the missing dimension using the triangle area formula with the dimensions you know.

  A = 1/2bh

  40 mm² = 1/2(b)(8 mm)

  b = 40 mm²/(4 mm) = 10 mm . . . . . . . divide by the coefficient of b

The triangle's base is b = 10 mm.

Answer:

x = 71

Step-by-step explanation:

The horizontal lines are parallel, right?

So that means the degrees shown are complimentary angles(they add up to 180 degrees, a straight line)

so that means the algebraic equation is 109 + x = 180

x = 180-109

x = 71

Hope this helps. Mark brainliest if best., if not, hope it helps anyway.

Step-by-step explanation:

inscribed angles subtended by the same arc are equal.

the central angle of a circle is twice any inscribed angle subtended by the same arc.

the first statement tells us that the 53° angle as well as y stay the same size no matter where on their arcs (between the 2 points connected to O) they would be. so, we don't need to bother with any line lengths.

the 2nd statement tells us that x = 2×53 = 106°. the 53° and x angles refer to the short arc on the right of the 2 points connected to O.

and y and x refer to the larger arc on the left of the 2 line connected to O. that means according to the second statement : 360-x (the big angle around O) = 2y

so,

360 - 106 = 2y

254 = 2y

y = 127°

Answer:

decreased by 7

Step-by-step explanation:

Based off of the table after each day, the money left on the card decreases by 7 after each day

eg. On Monday there is $40 on the card. On Tuesday there is $33 on the card. The money on the card decreases by 7 from Monday to Tuesday. It continues to decrease by this constant amount as the days pass.

Answer:

With each day additional day, the amount left on the card decreased by $7

Step-by-step explanation:

After each day you could see that the amount of money was lower and if you subtracted Monday by Tuesday, Tuesday by Wednesday, Wednesday by Thursday, and Thursday by Friday, you could see that it fell $7 each time.

Answer:

4:18

6:27

8:36

Hope this helps! :)

The standard equation for a circle is '[tex](x-h)^2+(y-k)^2=r^2[/tex]

      --> Standard form:

              [tex](x - )^2 +(y-(-5))^2=2^2\\x^2+(y+5)^2=4[/tex]

Hope that helps!

Answer:

x^2 + (y + 5)^2 = 4.

Step-by-step explanation:

Standard form is (x - a)^2 + (y - b)^2 = r^2

 - where (a, b) is the center and radius = r.

So our equation is:

(x - 0)^2 + (y - (-5))^2 = 2^2

x^2 + (y + 5)^2 = 4.

Answer:

50

Step-by-step explanation:

By the triangle midsegment theorem, 2(VX)=YZ.

This means that 2(t-25)=t, and thus t=50.

The area of the triangle def round to the nearest tenth of a square unit is 10.3 square units.

When the two sides and an angle of a  triangle is known, then the area of the triangle can be found out with the following formula.

[tex]A=ab\sin\left(\dfrac{C}{2}\right)[/tex]

Here, a,b are the adjacent sides and C is the angle made between them.

The image of the triangle DEF is attached below. In this the two adjacent sides are given with the length 5 units ans 8 units long.

The angle made between them has the measure of 31 degrees. Put the values in the above formula as,

[tex]A=(5)(8)\sin\left(\dfrac{31}{2}\right)\\A=10.3\rm\; unit^2[/tex]

Hence, the area of the triangle def round to the nearest tenth of a square unit is 10.3 square units.

Learn more about the triangle here;

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Answer: A, 10.3

Step-by-step explanation: edge 2022

Answer:

In geometry, a vertex form is a point where two or more curves, lines, or edges meet.

Step-by-step explanation:

this equation is stander form