Unit 4
Which equation represents the
value of in a triangle when all
other angle information is
known? Plssss help!

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

SOLUTION

16A. We want to find the relationship between n and 4 in

Therefore, the relationship between n and 4 is that n must be greater than 4

16B. The relationship between a and b

Therefore the relationship between a and b is that a must be equal to b

a = b

Answer:

2000*(1.08)^t where t is years after deposit

Step-by-step explanation:

The congruent reason for the triangles is (b) HL theorem

From the question, we have the following parameters that can be used in our computation:

Triangles = FGH and JHK

The SSS similarity theorem implies that the corresponding sides of the two triangles in question are not just similar, but they are also congruent

From the question, we can see that the following corresponding sides on the triangles:

Sides GH and HK

Sides FH and JK

These parameters are given in reasons (2) and (3) and it implies that these sides are congruent sides

For the triangle to be congruent by SSS, the following sides must also be congruent

GH must be congruent to HK

The above statement is true because point H is the midpoint of line GK

This is indicated in reason (2)

Hence, the congruent statement is SSS.

However, we can also make use of the HL theorem in (B)

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A box that contains two times as many cubes as a box that is 2 by 3 by 5 can have dimensions of 2 by 3 by 10.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

A box that is 2 by 3 by 5 has a total of 2 x 3 x 5 = 30 cubes. To build a box that will hold twice as many cubes, we need to find the dimensions that will give a total of 60 cubes.

Let's assume the dimensions of the new box are x, y, and z. Then, we have:

xyz = 60

We can express one of the variables in terms of the other two.

z = 60 / (xy)

Substitute this in above equation.

xy60/xy=60

60=60

This is true for any values of x and y, as long as z is calculated as z = 60 / (x y).

There are infinitely many solutions for the dimensions that will give a box with a total of 60 cubes.

set of dimensions that satisfies the condition is x = 2, y = 3, and z = 10.

Hence, a box that contains two times as many cubes as a box that is 2 by 3 by 5 can have dimensions of 2 by 3 by 10.

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Answer:

Present age of A = 16 years

Present age of B = 12 years

Step-by-step explanation:

Let the age of B be x years.

Therefore, age of A = (x + 4) years

Four years ago:

Age of A = (x + 4 - 4) = x years

Age of B = (x - 4) years

According to the given information:

\( \frac{x}{x - 4} = \frac{3}{2} \\ \\ 2x = 3(x - 4) \\ \\ 2x = 3x - 12 \\ \\ 2x - 3x = - 12 \\ \\ - x = - 12 \\ \\ x = 12 \\ \\ x + 4 = 12 + 4 = 16 \\ \\ present \: age \: of \: a = 16 \: yeras \\ \\ present \: age \: of \: b = 12 \: years \\ \)

Answer:

true

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

This gigantic system, powered by energy from the Sun, is a continuous exchange of moisture between the oceans, the atmosphere, and the land. Earth's water continuously moves through the atmosphere, into and out of the oceans, over the land surface, and underground.

Recall that when we do a reflection around the axis y = 1 (a horizontal line going through the point "1" in the y axis, each point gets reflected at the same distance they have to the y = 1 axis, but on the other side of the line.

So let's start with the point :

J = (2, 4) which is located at 3 units from the line y = 1 and above it. So during a reflection, it will keep the x-value, and chenge its y-value to 3 units BELOW the y=1 axis, leading to: (2 , -2)

Then (2, 4) goes to (2, -2)

Now the point: K = (-4, -2)

This one is located below the y = 1 axis , and 3 units below it, so during a reflection it will go 3 units above the y = 1 axis, and will keep the same x value:

(-4, -2) will go to (-4, 4)

finally the point L = (-1, 0)

This point is located below the y=1 axis in one unit, then its reflection will place it ONE unit above the y=1 axis. and again the x value will be kept intact:

(-1, 0) goes to (-1, 2)

Then we have found the reflection of all three vertices of the triangle.

Look at a reflection around the line y = 1, like if on that line you have a mirror and the points get reflected on the other side of it.

The x value will not change, but the y value will according to how far away from the "mirror" (y = 1 axis) they were initially.

Understanding statistical questions and data distributions is an important concept in data analysis and statistics. A statistical question is one that can be answered by collecting and analyzing data.

These questions typically ask about a population or group of individuals and are often related to trends or patterns.

Data distributions refer to the way data is spread out or distributed within a dataset. This can include measures like the mean, median, and standard deviation. Understanding data distributions is important for making accurate interpretations and predictions based on the data.

To practice understanding statistical questions and data distributions, it's important to work with real-world datasets and ask questions that can be answered using statistical analysis.

This can involve looking at trends and patterns in the data and interpreting the results in a meaningful way. By building these skills, you can become better equipped to analyze and interpret data in a variety of settings.

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The largest area the farmer can enclose with 100 feet of fencing is a rectangle with sides that measure 25 feet by 40 feet. The area of this rectangle is 1000 square feet. The farmer can use this information to fence off the largest possible area for his farm with the 100 feet of fencing he has available.

Area is the measurement of a two-dimensional figure or space. It is represented by a numerical value and is typically measured in units of square meters, square centimeters, or square feet. Area is often used to measure the size of a piece of land, the area of a room, or the total surface of a 3D object. In mathematics, area is a fundamental concept and is used to calculate various other figures, such as the perimeter and volume.

The largest area the farmer can enclose with 100 feet of fencing is a rectangle with sides that measure 25 feet by 40 feet. This can be determined through the proper and complete calculation of the perimeter and area of the rectangle. To start, the perimeter of a rectangle is equal to the sum of its four sides, so the farmer needs to use all of the fencing to create a rectangle with a perimeter of 100 feet. This means that the two sides of the rectangle, x and y, have to add up to 100 feet when added together. This equation can be expressed as x + y = 100.

Next, the area of a rectangle is equal to the product of its two sides, so the farmer needs to find the two sides that will give the largest product when multiplied together. To do this, the farmer can use the equation from the perimeter, x + y = 100, to solve for x and y. This gives the equation x = 100 – y. Plugging this equation into the area equation gives the equation A = (100 – y)y. To find the maximum area, the farmer needs to take the derivative of this equation and set it to zero. This gives the equation y = 50, meaning that the two sides of the rectangle are both 50 feet.

Therefore, the largest area the farmer can enclose with 100 feet of fencing is a rectangle with sides that measure 25 feet by 40 feet. The area of this rectangle is 1000 square feet. The farmer can use this information to fence off the largest possible area for his farm with the 100 feet of fencing he has available.

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The number of millimeters in each glass is 200ml.

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. in this case, it is vital to note that they have at least two terms which have to be related by through an operator.

It is important to note that some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

Since Cheetan brought a 2L bottle of milk and used 400 ml from it with the remaining amount of milk he could complely fill 8 glases of the same size and shape. The amount in each will be:

= (2l - 400ml )/8

= (2000 - 400) / 8

= 1600 / 8

= 200ml

Therefore, based on the calculation, there'll be 200 millimeters on each glass.

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Complete question

cheetan brought a 2L bottle of milk and used 400 ml from it with the remaining amount of milk he could complely fill 8 glases of the same size and shape. How many ml will each contain?

Answer:

If x is replaced with -x the graph will stay the same because the absolute value makes 2 values so a negative number and a positive one.

Step-by-step explanation:

Go search it up on desmos.

Answer:

2) 9/4

Step-by-step explanation:

12/5 in decimal form is 2.4. As a mixed number, 12/5 is 2 2/5. And, 12/5 is just a reduced form of 36/15. So, the only answer it can be is answer 2: 9/4

Answer:

{√49,-1,0}

Step-by-step explanation:

√49 = 7, because 7*7 = 49

7, -1 and 0 are all integer numbers.

π isn't integer, √20 is not an integer (it's 2√5), 9.5 is not an integer.

Given the expression :

so, at first , we need to factor each function of the expression :

And for the second fraction:

So, writing the given expression using the factors :

The result will be :

Cross the similar factors :

As you can see, at the numerator : (3x-7) , (x+3) and (2x+7) are similar with the same factors in the denominator

so, after crossing the similar factors, the result will be :

The result is similar to :

So, as a = 1 , the values of the other variables will be :

Answer:

1, -1

Step-by-step explanation:

(-2/3)⁰

Anything that is raised to the power of 0 automatically becomes the value 1. Knowing this, apply the exponent.

(-2/3)⁰ = 1

-(7)⁰

Now using what we know, apply the exponent to the 7.

-(7)⁰ = -1

Notice that the negative is NOT inside the parenthesis and therefore does NOT get affected by the power.

Answer:

 (3) x = 17/6   (4) y = -41/4

Step-by-step explanation:

i hope this helps u

Answer:

0.09

Step-by-step explanation:

hope it helps!!!!!!

Answer:

35

Step-by-step explanation:

You can easily graph this in desmos for a visual understanding.

The slope of a line is received by (y2-y1)/(x2-x1). Assuming that Days is X and the cost is Y, we get (160-90)/(4-2), and it makes 70/2, which equates out to 35. Because the prices become more and more expensive, the slope is positive 35.

Answer:

15% 30% 50% 75% 89%

Step-by-step explanation:

u change 0.15 to a function 15/100 then the one hungred below is persent

The expression for the difference quotient is option C and the simplified form of the function f(x) when evaluated at x and x + h is 2x + 4 + 2h.

We are asked to find the expression for the difference quotient of the function f(x) when evaluated at x and x + h. The difference quotient is given by:

\($\frac{f(x+h) - f(x)}{h}$\)

where h is a small nonzero number representing the change in the input.

Substituting f(x) with its expression, we get:

\($\frac{(2(x+h)^2 + 4(x+h) - 3) - (2x^2 + 4x - 3)}{h}$\)

Expanding and simplifying the numerator, we get:

\($\frac{2x^2 + 4xh + 2h^2 + 4x + 4h - 3 - 2x^2 - 4x + 3}{h}$\)

Simplifying further, we get:

\($\frac{2x^2 + 4xh + 2h^2 + 4h}{h}$\)

Canceling the common factors of h, we get:

\($2x + 4 + 2h$\)

Therefore, the expression for the difference quotient of the function f(x) when evaluated at x and x + h is 2x + 4 + 2h.

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Answer: b = 11.62

Step-by-step explanation:

We can use this formula to solve for b:

\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)

\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)

\(b^2= \sqrt{144-9}\)

= 11.61895004

We can round that to 11.62.

Hope this helped!

A plane intersecting a rectangular prism can create different cross-sectional shapes depending on the orientation of the plane. A plane intersects the pyramid parallel to its base. The cross section is a rectangle  A plane intersects the pyramid perpendicular to its base and through the top vertex. The cross section is a triangle

A plane intersecting a rectangular prism can create different cross-sectional shapes depending on the orientation of the plane. Let's explore the two scenarios you mentioned:

Plane parallel to the base: When a plane intersects the rectangular prism parallel to its base, the resulting cross section is also a rectangle. The shape of the cross section will have the same dimensions as the base of the rectangular prism.

Plane perpendicular to the base and through the top vertex: In this case, the cross section will be a triangle. The shape of the cross section will be determined by the intersection of the plane with the three sides of the rectangular prism. The base of the triangle will be formed by the side of the rectangular prism, while the other two sides will be formed by the edges connecting the top vertex of the pyramid to the corresponding vertices of the base.

It's important to note that a rectangular prism is different from a pyramid. A rectangular prism has six rectangular faces, while a pyramid has a polygonal base (in this case, a rectangle) and triangular faces converging to a single point called the apex or top vertex.

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Answer:

Step-by-step explanation:

9. sin 18 = x/21

 x = 21* sin 18

  x = 6.5

10. tan 55 = 29/x

  x* tan 55 = 29

x = 29/tan 55

x = 20.3

11. sin 23 = x/25

  x = 25 * sin 23

  x = 9.8

12. sin 47 = 33/x

  x * sin 47 = 33

 x = 33/sin 47

  x = 45.1

Answer:

Step-by-step explanation:

25