what is 7 less than the difference between j and 4

5 holes have been punched into a 12 cm by 12 cm square piece of paper. The area of remaining paper will be 27.714 cm².

Firstly, we will calculate the area of the square of paper in which the holes are punched.

Side of square = 12 cm

Area of square = side²

= (12) ²

= 144 cm²

Now, we will calculate the area of the bigger punch holes

Radius of big punch hole = 3 cm

Area of 1 big punch = π (radius) ²

= 22/7 × (3)²

22 / 7 × 9

= 198 / 7 cm²

Area of 4 punches = 4 × 198/7

= 792/7 cm²

Now, we will calculate the area of smaller punch whose radius is 1cm

Area = 22/7 × 1²

= 22/7 cm²

Now, we will calculate the total area covered by circles

Total area covered by circles = area of small punch + area of 4 big punch

= 22/7 + 792/7

= 814 /7 cm²

Remaining area = area of square - area of circles

= 144 - 814/7

= (1008 - 814) / 7

= 194 / 7

= 27.714 cm²

To know more about area:

https://brainly.com/question/27683633

#SPJ1

By changing the central angle, ∠CAB, the inscribed angle, ∠CDB has the following data sets:

m∠BAC (β)                                m∠BDC (α)

42°                                               84°

40°                                               80°

45°                                               90°

35°                                               70°

52°                                               104°

A circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Also, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).

In Geometry, a circle is considered to be a conic section which is formed by a plane intersecting a double-napped cone that is perpendicular to a fixed point (central axis) because it forms an angle of 90° with the central axis.

The inscribed angle theorem states that the measure of an inscribed angle is one-half the measure of the intercepted arc in a circle. Thus, this is given by this mathematical expression:

m∠BDC = ½ × m∠BAC.

For this exercise, we would change the central angle, ∠CAB, so that the inscribed angle, ∠CDB can have the following data sets:

m∠BAC (β)                                m∠BDC (α)

42°                                               84°

40°                                               80°

45°                                               90°

35°                                               70°

52°                                               104°

Read more on inscribed angle here: https://brainly.com/question/3538263

#SPJ1

Answer:

plato

Step-by-step explanation:

m∠BAC m∠BDC

50° 25°

70° 35°

90° 45°

125° 62.5°

150° 75°

The contractor should lower the ramp by approximately 4.62° to meet safety regulations.

We have,

To determine the angle created by the bottom of the ramp and the ground, we can use the trigonometric function of sine.

In the given triangle, the height is 6 ft and the base is 16 ft.

The angle we want to find is opposite the height (let's call it θ).

The sine of an angle is defined as the ratio of the opposite side to the hypotenuse.

sin(θ) = opposite/hypotenuse

sin(θ) = 6/16

sin(θ) = 0.375

To find the angle θ, we can take the inverse sine (also known as arcsine) of 0.375:

θ = arcsin(0.375)

θ ≈ 22.62°

To meet safety regulations, the angle should be no more than 18°. Therefore, the contractor needs to lower the ramp by:

22.62° - 18° ≈ 4.62°

Thus,

The contractor should lower the ramp by approximately 4.62° to meet safety regulations.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ1

Answer: 14 = x

Disclaimer: it may end up just being 14.136363636363636363636363636364

Step-by-step explanation: basically 311 ÷ 22 would = 14.136...(more numbers but they repeat) but you probably drop those decimals and it is

14 if you don't end up having to drop it then it would be 14.136363636363636363636363636364 which in your case 14.136363636363636363636363636364 is your answer

Answer:

\(c=2.25\)

Step-by-step explanation:

\(4.5=2c\\2c=4.5\\c=4.5/2\\c=2.25\)

Answer:

The first one is 10.5, I am unsure about the second one but I think 338.56.

The probability of selecting 50 jars is 0%

The z score determines by how many standard deviations the raw score is above or below the mean. It is given by:

\(z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where \mu=mean,\sigma=standard\ deviation, x=raw\ score,n=sample\ size\\\\Given\ that\ \mu=17,\sigma=0.68,n=50,x=16.8\\\\z=\frac{16.8-17}{0.65/\sqrt{50} } =-5\)

The P(z < -5) = 0%

Therefore the probability of selecting 50 jars is 0%

Find out more at: https://brainly.com/question/15016913

Answer:

2/3

Step-by-step explanation:

1 and 2 are taken away, therefore you have 3, 4, 5, and 6 left as options to roll. So the answer is 4/6 since there's 4 numbers, but simplified it's 2/3.

Answer:

There are six possible outcomes when rolling a die, each of which is equally likely. Of these six outcomes, three are greater than 2 (3, 4, 5) and three are not (1, 2, 6). Therefore, the odds in favor of rolling a number greater than 2 are 3 to 3, or simply 1 to 1. Alternatively, we could express this as a probability: the probability of rolling a number greater than 2 is 3/6, or 1/2, since there are three favorable outcomes out of a total of six possible outcomes.

Step-by-step explanation:

The vertices of the image after a dilation with the origin as its center and a scale factor of 2 are having coordinates A' = (12, 8), B' = (4, 8), C' = (12, -4) and D' = (4, -4)

To dilate a figure with the origin as the center, we only need to multiply each coordinate by the scale factor. In this case, the scale factor is 2.

So, for vertex A(6, 4), we have:

x-coordinate after dilation: 2 × 6 = 12

y-coordinate after dilation: 2 × 4 = 8

Similarly, for vertex B(2, 4), we have:

x-coordinate after dilation: 2 × 2 = 4

y-coordinate after dilation: 2 × 4 = 8

For vertex C(6, -2), we have:

x-coordinate after dilation: 2 × 6 = 12

y-coordinate after dilation: 2 × (-2) = -4

Finally, for vertex D(2, -2), we have:

x-coordinate after dilation: 2 × 2 = 4

y-coordinate after dilation: 2 × (-2) = -4

To learn more on Coordinate Geometry click:

brainly.com/question/27326241

#SPJ1

Answer:

Step-by-step explanation:

22.57 cm inches are the net weight of the slope

The solution for the equation -2(2x + 5) - 3 = -3(x - 1) is x = - 16 which can be solved by the use the distributive property.

Distributive Property that when we multiply a number by a group of numbers that are added together, we can multiply each value in the group separately, then add the products of the multiplications.

-2(2x + 5) - 3 = -3(x - 1)

To solve this equation, we need to first use the distributive property to expand the left side of the equation.

We have:

-4x-10-3 = -3(x - 1)

-4x-13 = -3(x - 1)

Now, we can group the like terms on the left side and the right side of the equation.

On the left side, we have -4x - 13 and on the right side, we have -3x + 3.

-4x-13 = -3x + 3

To solve for x, we can add 3x to left side of the equation and add 13 to the right side.

This results in the equation:

-4x+ 3x  = 13 + 3

Now, we can add 3x with -4x of the equation to isolate the x-term.

We have:

-x = 16

x = - 16

For more questions related to equation

https://brainly.com/question/17145398

#SPJ1

Answer: 25.7142857143

Step-by-step explanation:

180 / 0.7 = 25.7142857143

Answer:

Lets express this as equations to get a better idea of this situation.

let f represent February, m represent march and so on

60 mangoes in feburary

(60)2=m

m=120

120 mangoes in march

A=120+60+20

a=200

m+f+a=total amount of mangoes

60+120+200=t

380=total

Step-by-step explanation:

The total mangoes harvested by Martin is 380 kilograms.

A word problem in math is a math question written as one sentence or more that requires children to apply their math knowledge to a 'real-life' scenario.

Given that, Martin harvested 60 kilograms of mangoes last February, twice as much in March, and 20 kilograms more in April than the combined harvest in February and March.

We need to find the total harvested mangoes,

Let f represent February, m represent march and April be a

February = 60 mangoes

So, in March,

(60) 2 = m

m = 120

Therefore, 120 mangoes in March

A = 120+60+20

a = 200

Now, the total mangoes = 60+120+200 = 380

Hence the total mangoes harvested by Martin is 380 kilograms.

Learn more about word problems click;

https://brainly.com/question/29203255

#SPJ3

Answer:

20,-25

Step-by-step explanation:

Answer:

she did better on her math quiz

Step-by-step explanation:

15/20<9/10

15/20<18/20

Simple but effective

Let me know if this helps

The solution to the system is x = -6 and y = 4.

To solve the system by the addition method, we want to add the equations together in a way that will eliminate one of the variables.

Let's start by multiplying the first equation by -3 to get -3x - 9y = -18, and then add the second equation to it:

-3x - 9y = -18

+ 3x + 4y = -2

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

    -5y = -20

Now we can solve for y by dividing both sides by -5:

y = 4

We can substitute y=4 into one of the original equations, say x+3y=6, to solve for x:

x + 3(4) = 6

x + 12 = 6

x = -6

So the solution to the system is x = -6 and y = 4.

for such more question on  variables.

https://brainly.com/question/19803308

#SPJ11

Answer:-95°

Step-by-step explanation: a p e x

The negative angle that is equivalent to 265° would be equal to negative 85 degrees.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

The negative angle is equivalent to 265°.

We know that the sum of angles is always 180

So,

we will subtract the angle 180 from the angle of 265 degrees.

265 - 180

= 85°

Learn more about the triangles;

https://brainly.com/question/2773823

#SPJ2

9514 1404 393

Answer:

Step-by-step explanation:

Let d and s represent the cost of a drink and a sandwich, respectively. The two purchases give rise to the equations ...

  3d +5s = 25.05

  4d +2s = 13.80

Dividing the second equation by 2 gives ...

  2d + s = 6.90

Subtracting the first equation from 5 times this, we get ...

  5(2d +s) -(3d +5s) = 5(6.90) -25.05

  7d = 34.50 -25.05 = 9.45

  d = 1.35

The cost of each drink is $1.35.

__

Additional comment

Using the simplified 2nd equation, we can find the cost of a sandwich.

  s = 6.90 -2d = 6.90 -2.70 = 4.20

The cost of each sandwich is $4.20.

Answer:

\(4(x^4+7)\)

Step-by-step explanation:

Taking out the greatest common factor,\(16x^4+28=4(x^4+7)\).

Answer:

negatively skewed

Step-by-step explanation:

because most of the value is on the right side .

The average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6 is approximately 0.29 to the nearest hundredth.

To find the average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6, we need to calculate the change in the function divided by the change in the input variable over that interval.

The change in the function between x = 2 and x = 6 is:

f(6) - f(2) = √(6+4) - √(2+4) = √10 - √6

The change in the input variable between x = 2 and x = 6 is:

6 - 2 = 4

So, the average rate of change of the function over the interval 2 ≤ x ≤ 6 is:

(√10 - √6) / 4

To approximate the answer to the nearest hundredth, we can use a calculator or perform long division to get:

(√10 - √6) / 4 ≈ 0.29

For such more questions on function

https://brainly.com/question/11624077

#SPJ8

Answer:

y = 4\(\sqrt{5}\) , ? = 10

Step-by-step explanation:

using Pythagoras' identity on the smallest right triangle

x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )

x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)

using Pythagoras' identity on the middle right triangle

y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )

y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)

using Pythagoras' identity on the largest right triangle

?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100

Take square root of both sides

? = \(\sqrt{100}\) = 10

Answer:

D

Step-by-step explanation:

Answer:

16263 ways

Step-by-step explanation:

Given that:

Number of coin tosses, n = 15

Number of heads is between 8 and 12 inclusive

For 8 heads, tails = 15 - 8 = 7

15! / (8!7!) = 6435

For 9 heads, tails = 15 - 9 = 6

15! / (9!6!) = 5005

For 10 heads, tails = 15 - 10 = 5

15! / (10!5!) = 3003

For 11 heads, tails = 15 - 11 = 4

15! / (11!4!) = 1365

For 12 heads, tails = 15 - 8 = 3

15! / (12!3!) = 455

(6435 + 5005 + 3003 + 1365 + 455) = 16,263 ways

The answers for the conversion of the given masses in grams and kilograms are:

The conversion factor between kilogram and grams is given below:

The conversion of the given masses is as follows:

19 3/5 kg = 19 × 1000 + 3/5 × 1000

19 3/5 kg = 19,600 g

3.4 kg + 3/10 kg = 3,400 g + 300 g / 10

3.4 kg + 3/10 kg = 3,700 g

8.5 kg - 45 g = 8,500 g - 45 g

8.5 kg - 45 g  = 8,455 g

The mass of the dictionary is 1200 g = 1.2 kg

The difference in mass between the dictionary and the book is 1.2 kg - 0.4 kg = 0.8 kg

difference in mass = 800 g

1/2 kg + 50 g + 3.9 kg = 500 g + 50 g + 3,900 g

1/2 kg + 50 g + 3.9 kg = 4,450 g

3 kg 15 g = 3,015 g

1/4 kg = 250 g

3,015 g - 250 g = 2,765 g

7/10 kg + 7/100 kg = 700 g + 7 g

7/10 kg + 7/100 kg = 707 g

8 kg 8 g + 4 1/2 kg = 8,008 g + 4 × 1000 + 500 g

8 kg 8 g + 4 1/2 kg = 12,508 g

8 kg 8 g + 4 1/2 kg = 12.508 kg

Lisa's mass = 2/5 × 75 kg = 30 kg

Lisa's mass = 30,000 g

Mass of one box = 0.6 kg = 600 g

Mass of 12 boxes = 12 × 600 g

Mass of 12 boxes = 7,200 g

Learn more about kg to grams at: https://brainly.com/question/30391620

#SPJ1

Answer:

Therefore, the angle ∠CDA is 58°.

Step-by-step explanation:

∠CDA = 58°

In the given figure, let's consider the angle ∠CDA as x.

Since AB is the diameter of the circle, we know that the angle subtended by any diameter at any point on the circumference is always 90°. Therefore, ∠CAB = 90°.

In triangle CAD, the sum of angles is 180°. So, we have:

∠CAD + ∠CDA + ∠CAB = 180°

Substituting the known values:

32° + x + 90° = 180°

Combining like terms:

x + 122° = 180°

Subtracting 122° from both sides:

x = 180° - 122°

x = 58°

Answer:

15

5% of 300= 15

Hope this helps!! :) <3

Answer: 5% of 300 is 15

15 x 2 is 30

30 is 10%

10 x 10 100 = 300

The type of angle in which angle 3 and angle 6 are, is that they are alternate interior angles ( option C)

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Since line c and line b are parallel to each other and line a is the transversal that cut through both of them the angle on line a and line b will have the following characteristics;

They can be;

supplementary

alternate exterior

alternate interior

vertically opposite

and corresponding

The property between angle 3 and angle 6 is that they are alternate interior to each other.

Therefore angle 3 and angle 6 are alternate interior angles.

learn more about angle on parallel lines from

https://brainly.com/question/24607467

#SPJ1