Linda throws a dart that hits the square shown below: What is the probability that the dart hits a point in the circle?
18%
21.5%
78.5%
81%

Answer:

1+B,2+D,3+E,4+C and 5+A

Step-by-step explanation:

(A)161 (B)130 (C)168 (D)150 (E)132

1. 26 x 5=130

This is Option B, therefore we have the match:1+B

2. 25 x 6=150

This is Option D, therefore we have the match:2+D

3. 22 x 6=132

This is Option E, therefore we have the match: 3+E

4. 21 x 8=168

This is Option C, therefore we have the match: 4+C

5. 23 x 7=161

This is Option A, therefore we have the match:5+A

Answer:

To prove that 3·4ⁿ + 51 is divisible by 3 and 9, we have;

3·4ⁿ is divisible by 3 and 51 is divisible by 3

Where we have;

[tex]S_{(n)}[/tex] =  3·4ⁿ + 51

[tex]S_{(n+1)}[/tex] = 3·4ⁿ⁺¹ + 51

[tex]S_{(n+1)}[/tex] - [tex]S_{(n)}[/tex] = 3·4ⁿ⁺¹ + 51 - (3·4ⁿ + 51) = 3·4ⁿ⁺¹ - 3·4ⁿ

[tex]S_{(n+1)}[/tex] - [tex]S_{(n)}[/tex] = 3( 4ⁿ⁺¹ - 4ⁿ) = 3×4ⁿ×(4 - 1) = 9×4ⁿ

∴ [tex]S_{(n+1)}[/tex] - [tex]S_{(n)}[/tex] is divisible by 9

Given that we have for S₀ =  3×4⁰ + 51 = 63 = 9×7

∴ S₀ is divisible by 9

Since  [tex]S_{(n+1)}[/tex] - [tex]S_{(n)}[/tex] is divisible by 9, we have;

[tex]S_{(0+1)}[/tex] - [tex]S_{(0)}[/tex] =  [tex]S_{(1)}[/tex] - [tex]S_{(0)}[/tex] is divisible by 9

Therefore [tex]S_{(1)}[/tex] is divisible by 9 and [tex]S_{(n)}[/tex]  is divisible by 9 for all positive integers n

Step-by-step explanation:

Answer:

A (3, 1)

B (2, 2)

C (1, 2)

D (1, 1)

Step-by-step explanation:

When a point is rotated 90° (90 degrees) counterclockwise about its origin, the coordinate B (x, y) transforms into B' (-y, x).

A′ (-1, 3) B′ (-2, 2) C′ (-2, 1) D′ (-1, 1)

Using the formula above B (x, y) ⇒ B' (-y, x), we have the coordinates for the polygon as:

A′ (-1, 3) ⇒ A (3, 1)

B′ (-2, 2) ⇒ B (2, 2)

C′ (-2, 1) ⇒ C (1, 2)

D′ (-1, 1) ⇒ D (1, 1)

∴  coordinates of the original polygon is given by the vertices:

A (3, 1), B (2, 2), C (1, 2), D (1, 1)

Answer:

Option (1)

Step-by-step explanation:

Let the number of adult tickets sold = x

And the number of child tickets sold = y

Cost of adult tickets sold = $8x

And the cost of child tickets sold = $4y

If the theater company needs to earn at least $1280,

8x + 4y ≥ 1280

2x + y ≥ 320 ---------(1)

Since community center has a capacity of 240 people,

x + y ≤ 240 ----------(2)

By graphing these inequalities with the help of a graphing tool,

Shaded area above the solid line will be represented by inequality (1) (red line)

And the shaded area below the line will be the represented by inequality (2) (blue line)

Common area of both the shaded regions will represent the solution area .

Option (1) will be the answer.

Answer:

1/1001 < 4/10 < 49/100 < 357/10

Step-by-step explanation:

4/10 => 0.4

49/100 => 0.49

357/10 => 35.7

1/1001 => 0.0009

Ascending order is from smallest to the greatest.

Answer:

1/1001, 4/10, 49/100, 357/10

Step-by-step explanation:

Convert the fractions to decimals.

4/10 = 0.4

49/100 = 0.49

357/10 = 35.7

1/1001 = 0.0009

Arrange in ascending order.

0.0009, 0.4, 0.49, 35.7

Change back to fractions.

Answer:

9.36kg

Step-by-step explanation:

Given That:

Mass of her Packages = 8.7 kg

Mass of bag = 660g = 0.66 kg

Total Mass = ?

To find the total mass, add the 2 weight together :"

8.7 + 0.66 = 9.36kg.

Hope this helps.

Good Luck

Answer:

Mass of the things=8.7kg

Mass of the bag=660g=0.66kg

Total mass=mass of the bag+mass of the things

Total mass=8.7kg+0.66kg

Total mass=9.36kg≈9kg

Step-by-step explanation:

i hope this will help you :)

Answer:

4a+5b

Step-by-step explanation:

Given:

Apple=£a

Banana=£b

Quantity of Apple=4

Quantity of banana=5

Find the cost of 4 apples and 5 bananas

Total cost=PaQa+PbQb

Where,

Pa=price of Apple

Qa=quantity of Apple

Pb=price of banana

Qb=quantity of banana

Total cost=PaQa+PbQb

=4*a+5*b

=4a+5b

Answer:

18.0

Step-by-step explanation:

==>Given:

Triangle with sides, 16, 30, and x, and a measure of an angle corresponding to x = 30°

==>Required:

Value of x to the nearest tenth

==>Solution:

Using the Cosine rule: c² = a² + b² - 2abcos(C)

Let c = x,

a = 16

b = 30

C = 30°

Thus,

c² = 16² + 30² - 2*16*30*cos 30°

c² = 256 + 900 - 960 * 0.8660

c² = 1,156 - 831.36

c² = 324.64

c = √324.64

c = 18.017769

x ≈ 18.0 (rounded to nearest tenth)

Answer:

The ratio is 2:3

Step-by-step explanation:

The first thing we need to get here is how much was paid for the Van in total.

That would be;

23,500 + 20% of 23,500

= 23,500 + (20/100 * 23,500)

= 23,500 + (23500/5)

= 23,500 + 4,700 = £28,200

She pays a deposit, which of course wasn’t stated in the question.

But we know she pays the rest in 18 equal payments at £940 each.

The total amount she paid asides the deposit would be :

28,200 -(940 * 18) = 28,200 - 16,920 = £11,280

So what this means is that she paid a deposit of £11,280 and a cumulative installment payment of £16,920

So now, we want to find the ratio of the deposit to the 18 equal parts payment.

Mathematically, that would be;

11,280 : 16,920

= 1128 : 1692

Divide both by 1128

= 1: 1.5

= 1: 3/2

which is same as 2:3

The ratio of the deposit Emma pays to a total of the 18 equal payments is 2/3 and this can be determined by finding the deposit amount and total amount paid for the Van.

Given :

Emma buys a camping van for £23500 plus vat at 20% she pays the deposit then pays the rest of the cost in 18 equal payments of £940 each month.

The total amount paid for the Van is:

[tex]= 23500 + \dfrac{20}{100}\times 23500[/tex]

= 23500 + 4700

= £28200

The total deposit amount is given by:

[tex]= 28200-18(940)[/tex]

= 28200 - 16920

= £11280

So, the ratio of the Emma pays to a total of the 18 equal payments is:

[tex]\dfrac{11280}{16920}=\dfrac{1128}{1692}[/tex]

Further, simplify the above ratio.

[tex]=\dfrac{2}{3}[/tex]

Therefore, the ratio of the deposit Emma pays to a total of the 18 equal payments is 2/3.

For more information, refer to the link given below:

https://brainly.com/question/15385899

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, .

Answer:

1)0.123( bar on 3)

Let X = 0.123 ( bar on 3)

Then X = 0.1233 --------(1)

Multiply equation (1) by 100 we get,

100X = 12.33 --------(2)

Again multiply equation (2) by 10 we get,

1000X = 123.33 -------(3)

Subtract equation (2) from equation (3) we get,

1000X = 123.33

100X = 12.33

____________

900X = 111

X = 111/900

Hence,

0.123 ( bar on 3) is in the form of 111/900 which is in the form of P/Q.

Answer:

587.18 square inches

Step-by-step explanation:

We would find the Total surface area of the cone

Diameter of the cone = 11 inches

Radius = Diameter ÷ 2 = 11 / 2 = 5.5 inches

Slant height ( l ) = 28.5 inches

Let's take π = 3.14

Total Surface Area of a cone = πrl + πr²

= πr(l + r)

= 3.14 × 5.5( 28.5 + 5.5)

= π × 5.5(34)

= 587.18 square inches

There the square inches of paper will she need to cover the entire cone is 587.18 square inches

Answer:

[(a + b), c]

Step-by-step explanation:

Midpoint of a segment with extreme ends represented by ordered pairs [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],

Midpoint = [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

It is given that extreme ends of the segment QS are Q(2b, 2c) and S(2a, 0)

Coordinates of the midpoint of QS will be,

= [tex](\frac{2a+2b}{2},\frac{2c+0}{2} )[/tex]

= [(a + b), c]

Therefore, ordered pair representing the midpoint of QS will be [(a + b), c].

Answer:

(a+b, c)

Step-by-step explanation:

CORRECT FOR ACELLUS

Answer:

4(3x+2)

Step-by-step explanation:

Since all four sides of a square are the same length, the perimeter can be expressed as four times one of the side lengths. In this case, that is 4(3x+2). Hope this helps!

Step-by-step explanation:  since there are 4 sides on a square that will be the answer.

Answer: 4(3x + 2)

Answer: 56

Step-by-step explanation:

Let's organise our information :

The area of the cercle's quarter area is :

The area of the triangle is :

NOw the area of the shaded segment :

The first column is found by plugging in the x values to get corresponding y values. For instance, if x = -5, then y is...

y = x^2+3x-18

y = (-5)^2+3(-5)-18

y = 25-15-18

y = 10-18

y = -8

So that explains how they got -8 in the second column, next to x = -5.

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

The column of first differences is found by subtracting the adjacent terms in the y column. The distance from y = -8 to y = -14 is 6 units, so we'll write 6 in the first row of the "first differences" column. The rest of the values of this column are filled out in a similar fashion. This means that you'll need to completely fill out the y column before you can move onto the "first differences" column.

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

The second differences is found by subtracting the adjacent first differences. You should find the results of this column are all the same value. This is true of any quadratic function.

Answer:

40 students.

Step-by-step explanation:

There are 60 12th graders that voted for Nick and only 20 12th graders that voted for Garett. 60 - 20 = 40.

Hope this helps!

Answer:

[tex]a_{10}=124[/tex]

Step-by-step explanation:

In an arithmetic sequence, we are given that:

[tex]a_{17}=82\\d=-6[/tex]

The nth term of an arithmetic sequence, [tex]a_n=a+(n-1)d[/tex]

When n=17, [tex]a_{17}=82,d=-6[/tex], we have:

[tex]a_{17}=a+(17-1)(-6)[/tex]

82=a+(16)(-6)

82=a-96

a=82+96

a=178

Therefore, the 10th term of the sequence

[tex]a_{10}=178+(10-1)(-6)\\=178+9(-6)\\=178-54\\a_{10}=124[/tex]

Answer:

Check Explanation

Step-by-step explanation:

The number line required to answer this question is missing.

But I'll explain how to get the total number of basketball cards Juan has, given the number that corresponds to 60% of the total number of cards.

Let the total number of basketball cards be x.

The first step is to check the number line presented. We furst require the number that corresponds to 60% of all of Juan's basketball cards..

Let us assume that the number of basketball cards according to the number line is 45.

This means that

60% of the total number of basketball cards = 45

60% × x = 45

0.6x = 45

x = (45/0.6) = 75 basketball cards.

So, the way to go is just to divide the number that the number line gives (which represents 60% of the total number of basketball cards) by 0.6 to obtain the total number of basketball cards.

Hope this Helps!!!

Answer:

hello : here is an solution

Step-by-step explanation:

We have proven that ∠D ≅ ∠A as shown below

From the question, we are to complete the proof

Statements                                           Reasons

  AB ≅ DB                                             1. Given

1. EB ≅ CB

2. ∠ ABC ≅ ∠DBE                                2. Congruent postulate

3. ΔABC ~ ΔDBE                                3. Side-angle-side postulate

4. ∠D ≅ ∠A                                         4. CPCTC (Corresponding parts of

                                                               congruent triangles are congruent.)

Hence, we have proven that ∠D ≅ ∠A  

Learn more on Proof of angles here: https://brainly.com/question/11673033

#SPJ1

Answer:

[tex]z=-0.842<\frac{a-30}{7.8}[/tex]

And if we solve for a we got

[tex]a=30 -0.842*7.8=23.432[/tex]

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.  

Step-by-step explanation:

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

[tex]X \sim N(30,7.8)[/tex]  

Where [tex]\mu=30[/tex] and [tex]\sigma=7.8[/tex]

For this part we want to find a value a, such that we satisfy this condition:

[tex]P(X>a)=0.80[/tex]   (a)

[tex]P(X<a)=0.20[/tex]   (b)

As we can see on the figure attached the z value that satisfy the condition with 0.20 of the area on the left and 0.80 of the area on the right it's z=-0.842

If we use condition (b) from previous we have this:

[tex]P(X<a)=P(\frac{X-\mu}{\sigma}<\frac{a-\mu}{\sigma})=0.20[/tex]  

[tex]P(z<\frac{a-\mu}{\sigma})=0.20[/tex]

But we know which value of z satisfy the previous equation so then we can do this:

[tex]z=-0.842<\frac{a-30}{7.8}[/tex]

And if we solve for a we got

[tex]a=30 -0.842*7.8=23.432[/tex]

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.  

Answer:

D=y=In x+5

Step-by-step explanation:

Answer:

  41%

Step-by-step explanation:

The table shows that 36 of the 88 students that like traveling out of state do not like camping. That percentage is ...

  36/88 × 100% ≈ 41%

Answer:

[tex] \dfrac{1}{a^6} [/tex]

Step-by-step explanation:

[tex] a^{-6}x^0 = [/tex]

[tex] = \dfrac{1}{a^6} \times 1 [/tex]

[tex] = \dfrac{1}{a^6} [/tex]

Answer:

The submarine is  307.8 yards below sea level.

Step-by-step explanation:

Since the 500 yards are the hypotenuse of the right angle triangle, the acute angle opposite the side of the triangle we need to find is known ([tex]38^o[/tex]), we can use the sine function to solve the problem:

[tex]sin(\theta)=\frac{opposite}{hypotenuse} \\sin(38^o)=\frac{x}{500} \\500\,*\,sin(38^o)=x\\x = 307.8307\,\,yards[/tex]

which rounded to the nearest tenth is : 307.8 yards

Answer:

The transformation was a 90° rotation about the origin.

Step-by-step explanation:

Triangle ABC was transformed using the rule (x, y) → (–y, x). The vertices of the triangles are shown. A (–1, 1) B (1, 1) C (1, 4) A' (–1, –1) B' (–1, 1) C' (–4, 1) Which best describes the transformation? The transformation was a 90° rotation about the origin. The transformation was a 180° rotation about the origin. The transformation was a 270° rotation about the origin. The transformation was a 360° rotation about the origin.

Answer: Transformation is the process of moving a point in a graph to another point. The new point formed is the image of the old point. When an object is transformed each point of the object is moved to another point. There are three types of transformation: Reflection, Rotation, Translation and dilation.

If a point O(x, y) is rotated 90° rotation about the origin., the new point is at O'(-y, x). That is the x coordinates becomes negative of the y coordinate and the y coordinate becomes the x coordinate.

The vertices of the triangles are shown. A (–1, 1) B (1, 1) C (1, 4), If a transformation of 90° rotation about the origin is done, the new points are A' (–1, –1) B' (–1, 1) C' (–4, 1)

Answer:

The answer is a

Step-by-step explanation:

Answer:

Step-by-step explanation:

the x-intercepts represent that the profit is $0

maximum value represents the highest profit which is $270

increasing intervals: (0, 4)

decreasing intervals: (4, 8)

in order to find the average rate of change, find the x and y coordinates for when x = 1 and x =4. The coordinates are (1, 120) and (4, 270). The average rate of change is basically the slope, which is (270-120)/(4-1) = 160/3= approximately 53.3333. The rate represents the change in profit in $ over the increase of cost of erasers.

As you can see, this a parabola, which consists of going up and down. The constraints of the domain represent that 4 is the best price for eraser because it yields the highest profit. The domain (x values) that are above and below 4 do not yield the best profit.

Answer: £6.80

Step-by-step explanation:

Kara bought 5 jumpers for the price of 4.  Thus, multiply 4.8*5 = 24.  Then divide 24/4 to get 6.

Hope it helps <3

Answer:

222222:#&&&#+17265262

Answer:

Step-by-step explanation:

In a quadrilateral all the angles equal to 360 degrees

ADC= 136+90+62=288.

360-288=72

A straight line is equal to 180 degrees

CDE= 180-72=108

x=108

Answer:

the value of x is 62 degrees.

Step-by-step explanation:

we know that corresponding angles are equal, so the value of x is 62 degrees as x is an corresponding angle of 62°