Jenny bought scrapbooking supplies for $156.50. She paid $10.17 in sales tax. What was the sales tax rate on the supplies? If necessary, round your answer to the nearest tenth.

Its A trapezium

For Calculations Refer to the attachment

Answer:

Step-by-step explanation:

Plot the points.

See the attached.

It is easy to calculate the length of sides and diagonals using the coordinates and the distance formula.

The sides are all equal to [tex]\sqrt{5}[/tex] units and the diagonals are both equal to [tex]\sqrt{10}[/tex] units.

This is a property of a square.

Answer:

option d.opposite / adjacent

Step-by-step explanation:

opposite /adjacent ratio represents the tangent of an angle .

hope it is helpful to you ☺️

Answer:

D.

Step-by-step explanation:

From the trigonometry shortcuts we can use the acronyms:

SOH  CAH  TOA

for an arbitrary angle Ф, plug in the length of the sides:

sin(Ф) = opposite/hypotenuse

cos(Ф) = adjacent/hypotenuse

tan(Ф) = opposite/adjacent

Answer:

480

Step-by-step explanation:

(10)3- (2)3- (8)3

1000- 8- 512

= 480

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Answer:

[tex]\int _{\left(-1\right)}^1\frac{x^3+1}{2}dx[/tex]

[tex]=\frac{1}{2}\cdot \int _{\left(-1\right)}^1x^3+1dx \Leftarrow(take \: constant\: out)[/tex]

[tex]=\frac{1}{2}\left(\int _{\left(-1\right)}^1x^3dx+\int _{\left(-1\right)}^11dx\right) \Longleftarrow (Sum\:Rule)[/tex]

[tex]\int _{\left(-1\right)}^1x^3dx=0[/tex]

[tex]\int _{\left(-1\right)}^11dx=2[/tex]

[tex]=\frac{1}{2}\left(0+2\right)[/tex]

[tex]=1[/tex]

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❃❃❃❃❃❃❃❃❃❃❃

Answer:0.824

Step-by-step explanation:

The coefficient of determination is approximately 0.885 or 88.5%.

A correlation coefficient (r) is a number between -1 and 1 that measures the strength and direction of a linear relationship between two variables.

The coefficient of determination (R-squared) is equal to the square of the correlation coefficient (r).

Therefore, to find the coefficient of determination with an r-value of 0.941, we can simply square it:

R-squared = r² = 0.941² = 0.885481

Thus, the coefficient of determination is approximately 0.885 or 88.5%.

This means that 88.5% of the variation in the dependent variable can be explained by the independent variable(s) in the data set.

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Answer:

x = 135

Step-by-step explanation:

Answer:

17cm

Step-by-step explanation:

Given that the Volume of a cone is 4,000 cm³. And we need to determine the height of the cone , if the diameter is 30cm .

Diagram :-

[tex]\setlength{\unitlength}{1.2mm}\begin{picture}(5,5)\thicklines\put(0,0){\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\put(-0.5,-1){\line(1,2){13}}\put(25.5,-1){\line(-1,2){13}}\multiput(12.5,-1)(2,0){7}{\line(1,0){1}}\multiput(12.5,-1)(0,4){7}{\line(0,1){2}}\put(17.5,1.6){\sf{15cm }}\put(9.5,10){\sf{17\ cm }}\end{picture} [/tex]

Step 1: Using the formula of cone :-

The volume of cone is ,

[tex]\rm\implies Volume_{(cone)}=\dfrac{1}{3}\pi r^2h [/tex]

Step 2: Substitute the respective value :-

[tex]\rm\implies 4000cm^3 =\dfrac{1}{3}(3.14) ( h ) \bigg(\dfrac{30cm}{2}\bigg)^2 [/tex]

As Radius is half of diameter , therefore here r = 30cm/2 = 15cm .

Step 3: Simplify the RHS :-

[tex]\rm\implies 4000 cm^3 = \dfrac{1}{3}(3.14) ( h ) (15cm)^2\\ [/tex]

[tex]\rm\implies 4000 cm^3 = \dfrac{1}{3}(3.14) ( h ) 225cm^2\\ [/tex]

Step 4: Move all the constant nos. to one side

[tex]\rm\implies h =\dfrac{ 4000 \times 3}{ (3.14 )(225 )} cm \\[/tex]

[tex]\implies \boxed{\blue{\rm Height_{(cone)}= 16.98 \approx 17 cm }}[/tex]

Hence the height of the cone is 17cm .

Answer:

17

Step-by-step explanation:

Step-by-step explanation:

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Angle formed by each blade = 40°

So, total angle formed by 3 blades

= 40° × 3 = 120°

Total angle of a circle = 360°

Ratio of angle formed by total circle to angle formed by the 3 blades

= 360° : 120°

= 360 : 120

= 3 : 1

Total area of circle

= πr²

= π(3m)²

= π9m²

Let the area of blades be x.

So, area of total circle : x = 3 : 1

= π9m² : x = 3 : 1

= π9m²/x = 3/1

= π9m²/3 = x/1

= π9m²/3 = x

= π3m² = x

So, the area of all three blades is π3m².

Answer:

D is the least common denominator

Answer:

[tex]\text{A. }39/50[/tex]

Step-by-step explanation:

The probability that a randomly selected cap will not be green is equal to the number of non-green caps divided by the total number of caps.

Since there are 100 caps total and 22 are green, there must be [tex]100-22=78[/tex] non-green caps.

Divide this by the total number of caps (100) to get the probability that a randomly selected cap will not be green:

[tex]\frac{78}{100}[/tex]

Simplify by dividing both the numerator and denominator by 2:

[tex]\frac{78}{100}=\boxed{39/50}[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

I find it convenient to draw the graph first when looking for relative extrema.

The function can be differentiated to get ...

  f'(x) = -3x^2 +9

This is zero when ...

  -3x^2 +9 = 0

  x^2 = 3

  x = ±√3 . . . . . x-values of relative extrema

Then the extreme values are ...

  f(±√3) = x(9 -x^2) = (±√3)(9 -3) = ±6√3

The lower extreme (minimum) corresponds to the lower value of x (-√3), so the extrema are ...

 (x, y) = (-√3, -6√3) and (√3, 6√3)

__

Since the leading coefficient is negative and the degree is odd, the function is decreasing for values of x below the minimum and above the maximum. It is increasing for values of  x between the minimum and the maximum.

  decreasing: x < -√3, and √3 < x

  increasing: -√3 < x < √3

Answer:

A visit must be of at least 42.39 minutes to put a shopper in the longest 10 percent.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 27.8 minutes and a standard deviation of 11.4 minutes.

This means that [tex]\mu = 27.8, \sigma = 11.4[/tex]

How long must a visit be to put a shopper in the longest 10 percent?

The 100 - 10 = 90th percentile, which is X when Z has a p-value of 0.9, so X when Z = 1.28.

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

[tex]1.28 = \frac{X - 27.8}{11.4}[/tex]

[tex]X - 27.8 = 1.28*11.4[/tex]

[tex]X = 42.39[/tex]

A visit must be of at least 42.39 minutes to put a shopper in the longest 10 percent.

Answer:

z-score=2.17

Step-by-step explanation:

We are given that

Mean, [tex]\mu=0[/tex]

Standard deviation, [tex]\sigma=1[/tex]

Probability, p-value=0.9850

We have to find z-score for the standard normal distribution  with mean 0 and standard deviation 1 with the probability 0.9850.

To find the z score for the standard normal distribution we will use z-table.

From z- table we get

p-value =0.9850 when z -score=2.17

[tex]\implies[/tex]z-score corresponding to p-value=2.17

Therefore, the z-score for the standard normal distribution with mean 0 and standard deviation 1 with the probability 0.9850=2.17

Answer:

This spinner can be designed in 5040 ways.

Step-by-step explanation:

Number of possible arrangements:

The number of possible arrangements of n elements is given by:

[tex]A_{n} = n![/tex]

In this question:

7 colors, so:

[tex]A_{7} = 7! = 5040[/tex]

This spinner can be designed in 5040 ways.

Answer:

x = y² + 12x

y² = x - 12

y² = -11x.

Step-by-step explanation:

We need to find the inverse of the given function , which is ,

[tex]\rm\implies y = x^2 + 12x [/tex]

Step 1 : Interchange x and y :-

[tex]\rm\implies x = y^2 + 12y [/tex]

But according to the steps given in the Question , in very first step in 12x , x is not replaced by y . After which , the steps go wrong in the question .

The 3 errors :-

Answer:

B = 55°

b = 17.1 (rounded to the nearest tenth)

c = 20.9 (rounded to the nearest tenth)

Answer:

4 miles per hour

Step-by-step explanation:

3 miles

Change the 45 minutes to hours

45 minutes * 1 hour/60 minutes = 3/4 hour

3 miles ÷ 3/4 hour

Copy dot flip

3 * 4/3

4 miles per hour

Answer:

y=x-5/2

Step-by-step explanation:

Swap y and x

x=2y+5

since a function has to be in the form y=mx+c

take 5 to the other side in order to remain with 2y then divide both sides by 2

x-5/2=y

y=x-5/2

Answer:

Duke is a very good team and

Answer:

The equation is

y=1/4x-3

Answer:

y = 1/4x - 5

Step-by-step explanation:

If gradient or slope (m) equal to 1/4

then y - y¹ = m( x - x¹) ..........(1)

where the line happen to be passing through the point given above

therefore let x¹ be 8.........(2)

and y¹ be -3...............(3)

substitute (3) and (2) into (1)

we have y -(-3) = 1/4 (x - 8)

so 4(y+3)= (x-8)

4y = x - 8 - 12

therefore y = 1/4x - 5

Answer:

10

Step-by-step explanation:

1. [tex]6^{2} + 8^{2} = c^{2}[/tex]

2 [tex]100 = c^{2}[/tex]

3. c = 10

Answer:

The answer is "21.6".

Step-by-step explanation:

Let A stand for tent 1

Let B stand for tent 2

Let C be a shower

Using cosine formula:  

[tex]c= \sqrt{b^2 +a^2 - 2ab\cdot \cos(C)}\\\\[/tex]

  [tex]= \sqrt{(19)^2 + (15)^2 - 2\cdot 19 \cdot 15 \cdot \cos(78^{\circ})}\\\\= \sqrt{361 + 225 - 570\cdot \cos(78^{\circ})}\\\\ = \sqrt{586- 570\cdot \cos(78^{\circ})}\\\\= 21.6\\\\[/tex]

Therefore, you need to reduce the similarity from B to C which is the length from tent 2 to shower:

Tent 2 Distance to Dusk = 21.6m

Bert's tent is 21.6m away from the shower

Answer:

A

Step-by-step explanation:

The composite solid is made up of a cone and a rectangular prism.

Volume of the composite solid = volume of the cone + volume of the rectangular prism

✔️Volume of Cone = ⅓*π*r²*h

Where,

r = 4.8 yd

h = √(6² - 4.8²) = √12.96 = 3.6 yd

Substitute

Volume of cone = ⅓*π*4.8²*3.6

= 86.86 yd²

✔️Volume of rectangular prism = l*b*h

Where,

l = 7 yd

w = 5 yd

h = 4.5 yd

Substitute

Volume of prism = 7*5*4.5 = 157.5 yd²

✔️Volume of composite solid = 86.86 + 157.6 = 244.4 yd² (which is close to 244.36 yd²)

Answer:

Sydney's age = 42

Step-by-step explanation:

104 divided by 2 = 52

52 - 10 = 42

I am sorry if this is wrong. But this is what I learned at my school.

Answer:y - y1 = m(x + x1)

m = (y2 - y1)/(x2 - x1) = (-6 - 2)/(-1 - 5) = -8/(-6) = 4/3

y - 2 = 4/3(x - 5) is a possible answer

y + 6 = 4/3(x + 1) is also a possible answer

Step-by-step explanation:

can i be brainliest

Answer:

C

Step-by-step explanation:

Rationalize the denominator by multiplying [tex]\frac{\sqrt{5}}{\sqrt{5} }[/tex]. The denominator will become 5, while the numerator will be 3[tex]\sqrt{100}[/tex]. This is equal to 30/5, which is 6.

Hope this helps!

Given:

The vertices of a parallelogram are P(1,2,1), Q(1,0,-1), R(2,2,0).

PQ and PR are the adjacent sides of the parallelogram.

To find:

The coordinates of vertex S.

Solution:

We know that, the diagonals of a parallelogram bisect each other.

Let the coordinates of the vertex S are (a,b,c).

In the given parallelogram PS and QR are the diagonals. It means their midpoints are same.

[tex]\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{1+2}{2},\dfrac{0+2}{2},\dfrac{-1+0}{2}\right)[/tex]

[tex]\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{3}{2},\dfrac{2}{2},\dfrac{-1}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{1+a}{2}=\dfrac{3}{2}[/tex]

[tex]1+a=3[/tex]

[tex]a=3-1[/tex]

[tex]a=2[/tex]

Similarly,

[tex]\dfrac{2+b}{2}=\dfrac{2}{2}[/tex]

[tex]2+b=2[/tex]

[tex]b=2-2[/tex]

[tex]b=0[/tex]

And,

[tex]\dfrac{1+c}{2}=\dfrac{-1}{2}[/tex]

[tex]1+c=-1[/tex]

[tex]c=-1-1[/tex]

[tex]c=-2[/tex]

Hence, the coordinates of vertex S are (2,0,-2).

Answer:

10:18am

Step-by-step explanation:

The time at which they meet, given that Ivan leaves his house at 8:00 A.M. and bikes towards Kate's house at a constant speed of 12 mph, while Kate leaves her house at 9:30 A.M. but bikes toward Ivan at a constant speed of 18 mph is 10:18 A.M.

The speed of a body is given as the ratio of the distance it travels and the time it takes. Thus, it can be shown as:

Speed = Distance/Time.

The other equations formed from this are:

Distance = Speed*Time

Time = Distance/Speed.

In the question, we are given that Ivan and Kate live 42 miles apart.

We are asked for the time at which they meet, given that Ivan leaves his house at 8:00 A.M. and bikes towards Kate's house at a constant speed of 12 mph, while Kate leaves her house at 9:30 A.M. but bikes toward Ivan at a constant speed of 18 mph.

The time for which Ivan travels alone is from 8:00 A.M. to 9:30 A.M., that is, 1.5 hours.

The distance covered by Ivan at a constant speed of 12 mph during this time can be shown as,

Distance = Speed*Time,

or, Distance = 12*1.5 = 18 miles.

The distance left to be covered now is, 42 - 18 miles = 24 miles.

After 9:30 A.M., both Ivan and Kate are biking toward each other.

Thus, their relative speed moving toward each other is the sum of their speeds.

Thus, the relative speed = 12 + 18 = 30 mph.

Thus, the time taken by them after 9:30 A.M. to meet can be shown as:

Time = Distance/Speed,

or, Time = 24/30 = 0.8 hours = 48 minutes.

Thus, Ivan and Kate meet at 9:30 + 48 minutes = 10:18 A.M.

Thus, the time at which they meet, given that Ivan leaves his house at 8:00 A.M. and bikes towards Kate's house at a constant speed of 12 mph, while Kate leaves her house at 9:30 A.M. but bikes toward Ivan at a constant speed of 18 mph is 10:18 A.M.

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