it takes a skydiver 30 seconds to fall 5,100 feet before opening the parachute. how many feet is this per second?

The area of the shape for the quilt block is 166.5 in²

The area is the region bounded by the shape of an object. The space covered by the figure or any two-dimensional geometric shape, in a plane, is the area of the shape

Given that, a quilt has blocks of design on it, we need to find the area of the block,

To find the area of the block = sum of the areas of the right triangle and the rectangle,

Area of the block = 16 × 9 + 6 × 7.5 × 1/2 = 166.5 in²

Hence, the area of the shape for the quilt block is 166.5 in²

Learn more about areas, click;

https://brainly.com/question/27444262

#SPJ9

The figure is unavailable is the question is solved for the figure attached

The equations that are true of the values x, y, and z are :

The line that x degrees and 65 degrees is on, is a straight line which means that they will both add up to 180 degrees :

x degrees + 65 degrees = 180 degrees

x and z are congruent angles which means they are both the same angle measure.

y would be equal to 65 degrees because, just like x and z, y and 65 degrees are congruent.

Find out more on equations at https://brainly.com/question/2198418

#SPJ1

Options include:

Answer:

360-137+x+y

Step-by-step explanation:

The percent of increase in price is 20 %

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Percentage formula = (Value/Total value) × 100

increase 700 to 840

old price is 700

new price is 840

price increase is  840 - 700

=140

percentage increase in price is

= 140*100/700= 20 percentage

Percentage formula = (Value/Total value) × 100

know more about percentage click here;

https://brainly.com/question/1342236

#SPJ4

The Distance between A, B based on the information will be 28.705 feet

From the information, the policewoman has positioned herself 500 ft from the intersection of two roads and she has carefully measured the angles of the lines of sight to the points.

Distance between A, B will be:

= 500 tan(15.4) - 500 tan(12.3)

= 500 (tan 15.4 - tan 12.3)

= 500(0.0574)

= 28.705 feet

The speed will be:

= 28.705 / 1.75

= 16.403 ft/s

= 12.3 mph

Learn more about distance on:

brainly.com/question/26550516

#SPJ1

Answer:

This is a math problem. To solve it, you need to use algebra. Let me show you how.

Let x be the number of badges Katya sold. Then we can write an equation using the given information:

46 × 1.40 + 32 × 1.50 + 0.90 × x = 134

Simplifying the equation, we get:

64.4 + 48 + 0.9x = 134

Subtracting 64.4 and 48 from both sides, we get:

0.9x = 21.6

Dividing both sides by 0.9, we get:

x = 24

Therefore, Katya sold 24 badges.

Step-by-step explanation:

To get by what percent the second number (10) is greater than the first number (5), we can use the following formula:

percent increase = ((new value - old value) / old value) x 100%

So, for the pair of numbers 5 and 10:

percent increase = ((10 - 5) / 5) x 100% = 100%

This means that 10 is 100% greater than 5.

To determine by what percent the first number (5) is less than the second number (10), we can use the following formula:

percent decrease = ((old value - new value) / old value) x 100%

So, for the pair of numbers 5 and 10:

percent decrease = ((10 - 5) / 10) x 100% = 50%

This means that 5 is 50% less than 10.

To know more about Percentage:

https://brainly.com/question/29306119

#SPJ4

The equation that can be used to find the number of gardens that Kalisa welds is given as follows:

200 + 5.5w = 260.50.

Kalisa's earnings are divided as follows:

Hence the equation for the total earnings is constructed follows:

T(w) = 200 + 5.5w.

Her total earnings are of $260.50, hence the number of gardens that Kalisa welds is given as follows:

200 + 5.5w = 260.50.

More can be learned about equations at https://brainly.com/question/24808124

#SPJ1

The equation representing the scenario is 1.5x + 8 = 20 and the possible number of rides is 8.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, The cost of entering the fair is $8 and the cost of each ride is $1.50.

Let, The number of rides be 'x'.

Therefore, The equation can be formed as, 1.5x + 8 = 20.

Now, To obtain the number of rides,

1.5x + 8 = 20.

1.5x = 12.

x = 12/1.5.

x = 8.

So, 8 rides are possible.

learn more about equations here :

https://brainly.com/question/10413253

#SPJ9

There are 8 different trips that can be made from City X to City Z, passing through City Y.

To find the number of different trips that can be made from City X to City Z, passing through City Y, we can use the multiplication principle of counting.

First, we need to choose one of the 2 major roads from City X to City Y. Then, for each of these roads, there are 4 major roads from City Y to City Z, and we need to choose one of these roads.

By the multiplication principle of counting, the total number of different trips from City X to City Z, passing through City Y, is the product of the number of choices at each stage. Thus, we get:

Number of different trips = Number of roads from City X to City Y x Number of roads from City Y to City Z

= 2 x 4

= 8

This calculation shows how the multiplication principle of counting can be used to find the total number of possible outcomes in a multi-stage process where the number of choices at each stage is known.

To learn more about outcomes click on,

https://brainly.com/question/14796795

#SPJ4

Complete question is:

Automobile Trips. There Are 2 Major Roads From City X To City Y And 4 Major Roads From City Y To City Z. How Many Different trips can be made from City X to City Z, passing through City Y?

0.3 as a fraction would be 3/10

33.3 would be 333/10

To check it so 3 ÷ 10 and 333 ÷ 10

It will give you the decimal again.

You're welcome.

Answer: the answer is 33.3 is 33 3/10  and 0.3 is 3/10

Step-by-step explanation:

you welcome (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

a) The electric field magnitude on the balloon surface will be different from the electric field magnitude on the box surface.

b) the electric field lines intersect with the planar surface of the box, the field lines will be compressed or spread out depending on the angle of incidence.

At the point of contact between the spherical balloon and the wall of the cubical box, the electric field magnitude will not be the same on both surfaces. This is because the surface of the balloon is spherical, while the surface of the box is planar. The electric field lines emanating from the charged ball will be spherically symmetric around the ball and perpendicular to the surface of the balloon. However, when the electric field lines intersect with the planar surface of the box, the field lines will be distorted due to the change in direction of the surface. As a result, the electric field magnitude on the balloon surface will be different from the electric field magnitude on the box surface.

At the point of contact, the number of field lines per unit area will also be different for the balloon surface and the box surface. The electric field lines from the charged ball will be distributed uniformly over the surface of the spherical balloon, so the number of field lines per unit area will be constant over the entire surface. However, when the electric field lines intersect with the planar surface of the box, the field lines will be compressed or spread out depending on the angle of incidence. Therefore, the number of field lines per unit area on the box surface will not be the same as the number of field lines per unit area on the balloon surface.

Learn more about electric field here https://brainly.com/question/8971780

#SPJ4

Question:

A small charged ball is suspended at the center of a spherical balloon that is nestled snugly inside a cubical cardboard box. On one side, the balloon touches the wall of the box. (a) At this point of contact, is the electric field magnitude on the balloon surface equal to the electric field magnitude on the box surface? Assume neither object is polarized. (b) At this point of contact, is the number of field lines per unit of balloon surface area equal to the number of field lines per unit of box surface area?

The probability that the sample average amount of time taken on each day is at most 11 min:

P([tex]\bar{X_1}[/tex] < 11) =  0.8682

P([tex]\bar{X_2}[/tex] < 11) =  0.8897

We know that the formula for the z-score is:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Let X be the time taken by a randomly selected applicant for a mortgage to fill out a certain form

[tex]\mu_x[/tex] = 10

[tex]\sigma_x[/tex] = 2

Here, five individuals fill out a form on one day and six on another.

This means that the population is the same on both days, but the samples of different sizes.

On Day 1 the average[tex]\bar{X_1}[/tex] ∼Norm(10, 2/[tex]\sqrt{5}[/tex])

We find the probability using z-score.

The probability that the sample average amount of time taken on day 1 is at most 11 min:

P([tex]\bar{X_1}[/tex] < 11)

=[tex]P(\frac{\bar{X_1}-10}{(\frac{2}{\sqrt{5} } )} < \frac{11-10}{(\frac{2}{\sqrt{5} } )})[/tex]

= P(z < 1.118)

= 0.8682

Similarly, on Day 2 the average[tex]\bar{X_1}[/tex] ∼Norm(10, 2/[tex]\sqrt{6}[/tex])

So the probability that the sample average amount of time taken on day 1 is at most 11 min:

P([tex]\bar{X_2}[/tex] < 11)

=[tex]P(\frac{\bar{X_2}-10}{(\frac{2}{\sqrt{6} } )} < \frac{11-10}{(\frac{2}{\sqrt{6} } )})[/tex]

= 0.8897

Learn more about the probability here:

https://brainly.com/question/15124899

#SPJ4

The complete question is:

The time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with mean value 10 min and standard deviation 2 min. If five individuals fill out a form on one day and six on another, what is the probability that the sample average amount of time taken on each day is at most 11 min?

Answer: Maybe first give an equation

Step-by-step explanation:

The area of the right triangle with side lengths of 15cm and 12cm is 90 cm².

The area of triangle can be determined using the equation;

Area = 1/2 × base × height.

The angle described forms a right-triangle.

Area = 1/2 × base × height

Area = 1/2 × 12cm × 15cm

Area = 6cm × 15cm

Area = 90 cm²

Therefore, the area of the triangle is 90 cm².

Learn more about area of triangles here: brainly.com/question/19305981

#SPJ1

Rounding to the nearest degree, the angle between the vector i + √5j and the positive direction of the x-axis is approximately 63 degrees.

The angle between a vector and the positive direction of the x-axis can be found using the inverse tangent function, also known as arctan. The formula for finding the angle θ between a vector (x, y) and the positive x-axis is given by:

θ = arctan(y/x)

In this case, the vector is i + √5j, so x = 1 and y = √5. Plugging these values into the formula, we get:

θ = arctan(√5/1) = arctan(√5)

The arctan function returns the angle in radians, so we'll need to convert it to degrees. To do this, we multiply by 180/π:

θ = arctan(√5) * (180/π) = 63.43 degrees (rounded to two decimal places)

So, Rounding to the nearest degree, the angle between the vector i + √5j and the positive direction of the x-axis is approximately 63 degrees.

To learn more about nearest degree please click on below link.

https://brainly.com/question/29127876

#SPJ4

The pair of functions f(x) and g(x) below that equals 0 as the limit as x goes to infinity of the quotient of f of x and g of x will be C. f(x) = ln(x); g(x) = ex

For the limit of the quotient of f(x) and g(x) to equal 0 as x approaches infinity, it is necessary for f(x) to grow more slowly than g(x).

Out of the options given, the only pair of functions where this is true is f(x) = ln(x) and g(x) = ex. As x approaches infinity, ex grows much faster than ln(x), so the limit of the quotient of these two functions as x approaches infinity is 0.

In conclusion, the correct option is C.

Learn more about limit on:

https://brainly.com/question/4724064

#SPJ1

Answer:

here you go

Step-by-step explanation:

A guy wire runs from the top of a cell tower to a metal stake in the ground. Emily places a 10-foot tall pole to support the guy wire. After placing the pole, Emily measures the distance from the stake to the pole to be 11 ft: She then measures the distance from the pole to the tower to be 23 ft: Find the length of the guy wire, to the nearest foot.

The inequality that represents the more minutes needed to reach 80% of the battery is 3x + 40 ≤ 80. And the number of minutes will be 13.33 minutes.

Inequality is defined as an equation that does not contain an equal sign.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let 'x' be the number of minutes and 'y' be the total battery percentage. Then the equation is given as,

y = 3x + 40

The inequality that represents the more minutes are needed to reach 80 of battery is given as,

3x + 40 ≤ 80

Simplify the inequality, then we have

3x + 40 ≤ 80

3x ≤ 40

x ≤ 13.33 minutes

The inequality that represents the more minutes needed to reach 80% of the battery is 3x + 40 ≤ 80. And the number of minutes will be 13.33 minutes.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ1

The volume of storage space that the nursery needs for the wood if 60 crates are delivered in an order is; D: 3360 cubic feet

The formula for volume of a cuboid is;

Volume = Length * width * height

We are given;

Length = 4 feet

Width = 3.5 ft

Height = 4 ft

Thus;

Volume of one crate = 4 * 3.5 * 4

= 56 cubic ft

We need a total of 60 crates. Thus;

Total Volume = 60 * 56

Total volume = 3,360 cubic feet

Read more about Cuboid Volume at; https://brainly.com/question/46030

#SPJ1

Based on the given simultaneous equation, the value of x=-4  whereas the value of   y=-7

Two or more algebraic equations that share variables, such as x and y, are referred to as simultaneous equations.

Because the equations are solved simultaneously, they are referred to as simultaneous equations.

Here are some examples of simultaneous equations:

2x + 4y = 14

4x 4y = 4

6a + b = 18

4a + b = 14

3h + 2i = 8

2h + 5i =10

Each of these equations could have an infinite number of solutions.

However, if we have at least as many equations as variables, we may be able to solve them using simultaneous equations methods.

So, given

{y=−2x+1

{4x+y=9

-4x+y=9     get y alone

add 4x both sides

y=4x+9

insert into y=2x+1

2x+1=4x+9

subtract 1 both sides

2x=4x+8

subtract 4x both sides

-2x=8

divide by -2

x=-4

y=2x+1

y=2(-4)+1

y=-8+1

y=-7

check

-4(-4)+(-7)=9

16+(-7)=9

9=9

x=-4

y=-7

To know more about solving simultaneous equations, visit:https://brainly.com/question/20627346

#SPJ1

The solution to the equation log_6 x + log_6 3 = log_6 (x+1) is x = 1/2.

Explain:

We can reduce the complexity of the left side of the equation by using the logarithmic identity log a + log b = log (ab):

Log6 x plus Log6 3 equals Log6 (3x)

When we add this to the initial equation, we obtain:

Log6 (3x) equals Log6 (x+1).

Because logarithms have the one-to-one property, we can drop the logarithm on both sides to get the following results:

3x = x + 1

When we simplify this equation, we obtain:

2x = 1

x = 1/2

As a result, x = 1/2 is the answer to the equation log 6 x + log 6 3 = log 6 (x+1).

To know more about Logarithmic visit:

https://brainly.com/question/20835449

#SPJ1

The statement is incorrect. The replacement of three 2s with two threes will change the sum.

For example, consider the set {2, 2, 2}. The sum of this set is 6. However, if we replace three 2s with two threes, the new set becomes {3, 3}, and its sum is 6, which is different from the original sum. Hence, replacing a set of three 2s with a set of two threes does change the sum. An integer is a  whole number that can be positive, negative, or zero. Integers are numbers that don't have any fractional or decimal component. Some examples of integers are: -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, and so on. The set of integers is denoted by the symbol "Z", which stands for Zahlen, the German word for "numbers". Integers are an important mathematical concept used in many branches of mathematics and science, including algebra, number theory, and computer science.

To learn more about integers click here

brainly.com/question/1768254

#SPJ4

Complete Question

In any set of positive integers the replacement of a set of three 2s with a set of two threes will not change the sum" State whether the statement was correct or incorrect.

Answer:15/25

Step-by-step explanation:

According to the information, we plan to have cruising speed on for a minimum of 3 hours and a maximum of 4.1 hours.

To calculate how many hours we are going to have the cruising speed on we must carry out the following process:

To calculate the minimum we must subtract 35 from 215 and then divide by the speed:

So the minimum hours would be 3 hours.

On the other hand, to calculate the maximum we must add 35 to 215 and divide it by the speed:

So the maximum time would be 4.1 hours.

Learn more about speed in: https://brainly.com/question/28224010

#SPJ1

The length of the rectangle given the area and width is 21 inches

Area of the rectangle = 357 square inches

Width of the rectangle = 17 inches

Length of the rectangle= l

Area of a rectangle = Length × width

357 = l × 17

357 = 17l

divide both sides by 17

l = 357 / 17

l = 21 inches

In conclusion, 21 inches is the length of the rectangle.

Read more on area of rectangle:

https://brainly.com/question/25292087

#SPJ1