The perimeter of a rectangle is 22 ft and the area is 24 ft what is the length and width

The volume of water can be calculated by dividing the mass of water by the density of water.

The question asks for the volume of water when 700 kilograms of water and 450 kilograms of ice are combined in a container. To find the volume of water, we need to subtract the volume of ice from the total volume. The density of water is 1000 kg/m³, so the volume of water can be calculated by dividing the mass of water (700 kg) by the density of water (1000 kg/m³).

Volume of water = Mass of water / Density of water

Volume of water = 700 kg / 1000 kg/m³

Volume of water = 0.7 m³

https://brainly.com/question/14373997

#SPJ12

Answer: B. 19.9

Step-by-step explanation: Set up an equation where sin and the degree angle is in the numerator, and the side length is in the denominator.

Sin65/8 = Sinx/3

Plug Sin65 into your calculator and you will get 0.9063. Divide this number by 8.

0.9063/8 = 0.1133

Your equation is now 0.1133 = sinx/3

Multiply by 3 on each side.

0.3399 = sinx

Put sin on the left side. It will look like:

Sin^-1(0.3399) = x

Press enter on your calculator. You will get

X = 19.9.

I think that it would be a linear model.

Answer:

Step-by-step explanation:

quadratic C

We have been given that a bag of uninflated balloons contains 10 red, 12 blue, 15 yellow and 8 green balloons.

We need to find the probability of drawing a red balloon.

We know that probability is given by

[tex]\\ \text{Probability =} \frac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

Since we know that there are 10 red balloons. Therefore, our number of favorable outcomes is 10.

In order to find the total number of outcomes, we will add balloons of all colors.

Therefore, total outcomes are  = [tex]10+12+15+8 = 45[/tex]

We can now substitute the values of favorable outcomes and total outcomes in order to find the required probability.

[tex]\\ \text{Probability =} \frac{\text{10}}{\text{45}} = \frac{2}{9}[/tex]

The person 64 feet above the water can see 9.84 miles.

It is given in the question that the distance to the horizon is directly proportional to the square root of the elevation of the observer.

if the elevation of the observer be h and distance to the horizon be x then:

[tex]x=k\sqrt{h}[/tex]  where k is the constant of proportionality

from the given data:

[tex]7.4= k\sqrt{36}\\\\7.4=6k\\\\k=1.23[/tex]

So, if h = 64 feet then,

[tex]x=k\sqrt{h}\\\\x=1.23\sqrt{64}\\\\x=9.84 miles[/tex] is how far the person 64 feet above the water can see.

Learn more:

https://brainly.com/question/16998607

Answer:

The answer is A

Step-by-step explanation:

sadly i dont have the work of it just by looking it up you can get the answer tho. Answer is A

Answer: 57

=====================================================

Explanation:

Convert each raw score to a z score

If x = 63.4, then

z = (x-mu)/sigma

z = (63.4-72.3)/8.9

z = -1

if x = 81.2, then 

z = (x-mu)/sigma

z = (81.2-72.3)/8.9

z = 1

So P(63.4 < x < 81.2) is the same as P(-1 < z < 1)

Through the empirical rule (aka the 68-95-99.7 rule), we know that roughly 68% of the data values are within one standard deviation of the mean. In other words

P(-1 < z < 1) = 0.68 approximately (see note below)

Multiply 0.68 by the total 84 to get

0.68*84 = 57.12

which rounds to 57 people

Note: we can use a calculator to get a more accurate result of 0.68268949; a data table works as well but it won't be as accurate. For the purposes of this problem, the value 0.68 is good enough

It should be regular octagon, regular hexagon, and square

The surface area of the square pyramid is [tex]\(360 \, \text{mm}^2\)[/tex]

To calculate the surface area of a square pyramid, we need to find the area of its base and the area of its four triangular faces. Given the following:

The base side length [tex](\(s\))[/tex] is [tex]10\ mm[/tex].

The height of the pyramid [tex](\(h\))[/tex] is [tex]12 \ mm[/tex]

Step-by-Step Calculation:

1. Area of the base:

The base is a square with side length [tex]\(s = 10\) mm.[/tex]

[tex]\[\text{Area of the base} = s^2 = 10^2 = 100 \, \text{mm}^2\][/tex]

2. Slant height of the pyramid:

To find the slant height [tex](\(l\))[/tex], we need to use the Pythagorean theorem. The slant height is the hypotenuse of a right triangle where one leg is half the side length of the base [tex](\(\frac{s}{2} = \frac{10}{2} = 5\) mm)[/tex] and the other leg is the height of the pyramid [tex](\(h = 12\) mm)[/tex].

[tex]\[l = \sqrt{\left(\frac{s}{2}\right)^2 + h^2} = \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13 \, \text{mm}\][/tex]

3 Area of the four triangular faces:

Each triangular face has a base of [tex]10\ mm[/tex] and a slant height of [tex]13 \ mm[/tex].

[tex]\[\text{Area of one triangular face} = \frac{1}{2} \times \text{base} \times \text{slant height} = \frac{1}{2} \times 10 \times 13 = 65 \, \text{mm}^2\][/tex]

Since there are four triangular faces:

[tex]\[\text{Total area of the four triangular faces} = 4 \times 65 = 260 \, \text{mm}^2\][/tex]

4. Total surface area:

The total surface area of the square pyramid is the sum of the area of the base and the area of the four triangular faces:

[tex]\[\text{Total surface area} = \text{Area of the base} + \text{Total area of the four triangular faces} = 100 + 260 = 360 \, \text{mm}^2\][/tex]

A polynomial function of nth degree with given zeros, use the form f(x) = a (x - x1)(x - x2)...(x - xn), which is [tex]f(x) = x^3 - 2x2 - 5x + 6[/tex]

To write a polynomial function of the nth degree with given zeros, you can use the fact that a polynomial function f(x) with zeros at x1, x2, ..., xn can be expressed as:

f(x) = a (x - x1)(x - x2)...(x - xn)

Where 'a' is the leading coefficient, which can be any non-zero real or complex number, and (x - xi) are factors for each zero of the polynomial. If the polynomial is supposed to have a specific coefficient for the highest power term, then 'a' is that coefficient; otherwise, 'a' can be chosen freely to define the polynomial.

To illustrate with an example, if we had a polynomial of degree 3 with zeros at 1, -2, and 3, and we want the leading coefficient to be 1, our polynomial would be:

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

Expanding this product, we would get:

[tex]f(x) = x^3 - 2x2 - 5x + 6[/tex]

This polynomial of third degree has the specified zeros and a leading coefficient of 1.

By definition the interquartile range or IQR is obtained when the 25th percentile or [tex] Q_{1} [/tex] is subtracted from the 75th percentile or [tex] Q_{3} [/tex].

Thus, from the above definition, the formula for IQR is:

[tex] IQR=Q_{3}-Q_{1} [/tex]

As we can see from the provided options that the definition of IQR matches the expression provided in Option A and thus, Option A is the correct answer.

Quartile 3 (Q3) minus quartile 1 (Q1) is right for apex.

Final answer:

The original rectangle had a width of 20 feet and a length of 30 feet (20 feet + 10 feet). After solving a quadratic equation, we determined the original dimensions by setting up an equation that represented the area before and after the increase.

Explanation:

The original rectangle has a length that is 10 feet longer than its width. Let the width be represented by w feet. Therefore, the length would be w + 10 feet. After increasing each side by 10 feet, the new width is w + 10 and the new length is w + 20. The area of the new rectangle is 4 times larger than the original rectangle's area.

The area of the original rectangle is given by w(w + 10). The area of the larger rectangle is given by (w + 10)(w + 20). By multiplying the larger area, we get 4 times the original area, so (w + 10)(w + 20) = 4w(w + 10). We can simplify this equation to solve for w.

Step-by-step solution:

Thus, the original width is 20 feet and the original length is 30 feet (20 + 10).

Answer:

X + (0.18 * X)

where X is the price of the bill without the tip

Step-by-step explanation:

The first thing you have to do is convert the percentage to a decimal value. For example, if it is 30%, its decimal value is 0.30. As simple as dividing that 300 by 100. Repeat the previous step with all the percentages you have to add.

In this case it is 18% therefore the decimal value will be 0.18. As we do not have the value of the account, we will call this value X .

Therefore the total price of the account, that is, with the addition of the tip is as follows:

X + 18% de X =

X + (0.18 + X)

The equation that represent that image of the line after dilation is

[tex]y = 2x-6[/tex]

Given :

The line [tex]y=2x-4[/tex] is dilated by a scale factor of [tex]3\div2[/tex] and centered at the origin.

Solution :

The given line has slope 2 and y intercept -4.

As dilation conserves the parallelism, the dilated line will have the same slope = 2 and the y intercept of the dilated line is

[tex]= -4\times \dfrac{3}{2}=-6[/tex]

Therefore the equation that represent that image of the line after dilation is

[tex]y = 2x-6[/tex]

For more information, refer the link given below

https://brainly.com/question/14022834

Answer:

According to the description of the case, the angles should be named after this picture.

The congruents angles among each other are:

Blue: 1,4,5,8

Purple: 2,3,6,7

Therefore the three possibilities are:

a. 1 and 4

b. 4 and 8

c. 1 and 8

Step-by-step explanation:

Answer:

  15x^3·y

Step-by-step explanation:

The numbers 60, 45, 75 are all multiples of 15, so 15 is their greatest common factor.

The least power of the factor x is 3; the least power of the factor y is 1, so the GCF is ...

  GCF = 15·x^3·y