Given \(\triangle DEF\ :\ \triangle RST\), find the scale factor.

0.338 is the answer

hope this helped

Based on the information, the combined thickness will be 0.3338.

From the information given, we are told to find the combined thickness of these shims: 0.008, 0.125, 0.15, 0.185 and 0.005 cm.

This simply means that we need to add the decimals. This will be:

= 0.008 + 0.125 + 0.15 + 0.185 + 0.005

= 0.3338 cm

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Answer:

321%

Step-by-step explanation:

hope I helped Kkkkkkkk

Notice that, since B is the center of dilation, B'=B. Furthermore, is a dilation all the distances are enlarged by a factor equal to the dilation factor; thus,

Calculate BC using the formula below,

Therefore,

Hence,

The answer is B'C'=31.32

Answer:

yes

Step-by-step explanation:

Answer:

360°

Step-by-step explanation:

  Sum of interior angles of polygon =  (n - 2) *180

n is the number of sides of the polygon.

                                                            = (4 - 2) *180

                                                           = 2 * 180

                                                           = 360°

The number of DVDs shipped is, 20000 less that the previous year ,

Therefore, the integer -20000 can be used to describe the change.

Answer:

i could only get part one done

Step-by-step explanation:

Perimeter is a measurement of the distance around a shape and area gives us an idea. Understanding how much space you have and learning how to fit shapes ... If the shape is a polygon, then you can add up all the lengths of the sides to find the perimeter. ... You can write “in2” for square inches and “ft2” for square feet

ANSWER

m∠D = 50º

EXPLANATION

Triangle DEF is:

We want to know the measure of angle D, knowing the side lengths DE (the hypotenuse of the triangle) and FD (the adjacent side to angle D). We can use the cosine of D:

Answer:

i don't have ideas

The converse of the following statement: If x < 0, then x5 < 0 is If x5 < 0, then x < 0. The answer is option D.

The converse "If x5 < 0, then x < 0" is true. Conditional statements are made up of two parts: a hypothesis and a conclusion. If the hypothesis is valid, the conclusion is also true, according to conditional statements. The inverse, converse, and contrapositive are three variations of a conditional statement that have different implications. The converse of a conditional statement is produced by exchanging the hypothesis and the conclusion. A converse is valid if and only if the original conditional is valid and the hypothesis and conclusion are switched. The hypothesis "x < 0" and the conclusion "x5 < 0" are the two parts of the conditional statement "If x < 0, then x5 < 0."

Therefore, the converse of this statement is "If x5 < 0, then x < 0." This converse is correct since it is always valid. If x5 is less than zero, x must be less than zero because a negative number to an odd power is still negative.

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Developing strategies for remembering facts is essential for children before they engage in drill and practice activities to develop fluency. By establishing these strategies, children can effectively learn, retain, and recall information, ultimately enhancing their performance during practice sessions.

Yes, it is important for children to develop strategies for remembering facts before engaging in drills and practice to develop fluency. By doing so, children can enhance their ability to recall information more quickly and accurately, making it easier for them to perform well on tests and assignments. Strategies such as visualizing, chunking, and using mnemonic devices can help children remember information more effectively. Once these strategies are established, drill and practice can then be used to further reinforce their understanding and speed up their recall time. This approach can ultimately lead to improved academic performance and a stronger foundation for learning.

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SOLUTION:

We are to find the instruments that same number of students play?

Considering the given bar-chart, 32 students played each of Saxophone and Drums.

Therefore the answer is Saxophone and Drums.

Answer:

12$

Step-by-step explanation:

74 - 4(1.50+3+2) = 48

48 / 4 = 12

Answer:

n/a

Step-by-step explanation:

how does it feel

A simple method for adding and subtracting fractions with unlike denominators:

Find a common denominator: The first step is to find a common denominator that is a multiple of both denominators. The smallest common denominator is usually the least common multiple (LCM) of the two denominators.

Convert the fractions to equivalent fractions with the common denominator: Once you have a common denominator, you can convert each fraction to an equivalent fraction with the same denominator by multiplying the numerator and denominator by the same number.

Add or subtract the numerators: Once both fractions have the same denominator, you can add or subtract the numerators to get the numerator of the resulting fraction.

Simplify the resulting fraction: Finally, simplify the resulting fraction by dividing both the numerator and denominator by their greatest common factor, if possible.

Here is an example:

To add 1/3 + 1/4, we first find a common denominator:

The LCM of 3 and 4 is 12, so we multiply both the numerator and denominator of each fraction by 4 to get 12/12 as the common denominator:

1/3 * 4/4 = 4/12

1/4 * 3/3 = 3/12

Next, we add the numerators:

4/12 + 3/12 = 7/12

Finally, we simplify the fraction:

7/12 = (7 ÷ 1) / (12 ÷ 1) = 7/12.

So the result is 7/12.

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A useful graphical method of constructing the sample space for an experiment is a tree diagram that is option A.

A tree diagram is a useful graphical method of constructing the sample space for an experiment. It is a type of diagram used to represent the possible outcomes of an event. The diagram is structured in a way that each branch of the tree represents an event that can occur, and each level of the tree represents a stage in the experiment. By using a tree diagram, it is easier to visualize and understand all the possible outcomes of an experiment and the probabilities associated with each outcome. Therefore, option A is the correct answer.

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Answer:

96 in²

36 in²

60 in²

6.51 in

Step-by-step explanation:

Given that :

Dimension of paper = 12 in by 8 in

Dimension of right triangles :

2 in by 9 in ; 3 in by 6 in

Area of sheet of paper = 12 in * 8 in = 96 in²

Area of triangle = 1/2 base * height

Therefore, area of remnant right triangle :

2 * 1/2 * 2 * 9 = 18 in²

2 * 1/2 * 3 * 6 = 18 in²

Combined area of triangle left = 18in + 18in = 36 in²

Area of parallelogram = Area of sheet - Area of triangles left

Area of parallelogram = 96in² - 36in² = 60 in²

Base, b of parallelogram = 9.22 in

Area of parallelogram = base * altitude,h

60in² = 9.22h

h = 60 / 9.22 = 6.51 in

Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

Answer:

\(8 + x = 25 \\ x = 25 - 8 \\ 17\)

Answer: 2

5542 divided by 17 is 2

Answer:

A.22 is the answer

Step-by-step explanation:

When it says "f(5)", it is basically saying that what is the y-value if the x-value is 5. To find the y-value, we need to substitute 5 in for the variables. I have provided you with the steps.

Answer:

(0, –6)

Step-by-step explanation:

The y-intercept is when x = 0

so options

(–2, 0)

(–6, 0)

are incorrect

According to the table, when x = 0, f(x) = -6

Answer:

y ≤ 1/2x + 5

Step-by-step explanation:

-3x + 6y ≤ 30

add 3x on both sides:

6y ≤ 3x + 30

divide 6 on both sides:

y ≤ 3/6x + 30/6

This is simplified to:

y ≤ 1/2x + 5

The approximate area of the region bounded by the graph of the given function and the x-axis over the interval [0, 4] is -12.5 square units.

What is the midpoint rule?

The midpoint rule is a numerical method used to approximate the definite integral of a function over an interval. It is based on approximating the area under the curve of the function using rectangles.

To approximate the area of the region bounded by the graph of the function\(f(x) = x^2 - 4x\) and the x-axis over the interval [0, 4] using the midpoint rule with n = 4, we can follow these steps:

1.Divide the interval [0, 4] into subintervals of equal width. Since n = 4, we will have four subintervals with a width of \(\frac{4 - 0}{ 4} = 1.\)

2.Find the midpoint of each subinterval. The midpoints for the four subintervals are 0.5, 1.5, 2.5, and 3.5.

3.Evaluate the function \(f(x) = x^2 - 4x\) at each midpoint. We get the following values:

\(f(0.5) = (0.5)^2 - 4(0.5)\\= -1.75\)

\(f(1.5) = (1.5)^2 - 4(1.5)\\= -3.75\)

\(f(2.5) = (2.5)^2 - 4(2.5)\\= -4.25\\ f(3.5) = (3.5)^2 - 4(3.5)\\ = -2.75\)

4.Multiply each function value by the width of the subintervals (1 in this case). We get the following products:

(-1.75)(1) = -1.75

(-3.75)(1) = -3.75

(-4.25)(1) = -4.25

(-2.75)(1) = -2.75

5.Sum up the products to approximate the area of the region. -1.75 + (-3.75) + (-4.25) + (-2.75) = -12.5

Therefore, the approximate area of the region bounded by the graph of the function \(f(x) = x^2 - 4x\) and the x-axis over the interval [0, 4] using the midpoint rule with n = 4 is -12.5 square units.

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The volume and surface area of the ice cream cone are given by adding

the volume and surface area of the component parts.

Responses (approximate values)

i) 1,696.46 cm³

ii) 229.68 cm²

iii) 169.45 cm³

iv) 565.49 cm²

v) 10 cones

Given:

The diameter of the cylinder = 12 cm

Height of the cylinder, h = 15 cm

Height of the cone, h = 12 cm

Diameter of the cone, D = 6 cm

Shape of the cap of the cone = Hemispherical

i) The capacity of the container = The volume of the cylinder

Volume of a cylinder = Area of base × height

Radius of the cylinder, R = \(\mathbf{\dfrac{D}{2}}\)

Which gives;

\(R = \dfrac{12 \, cm}{2} = 6 \, cm\)

Volume of the cylinder, V = \(\pi \times R^2 \times h\)

ii) The surface area of a cone, \(A_c\) = π·r·(r + √(h² + r²))

Surface area of the hemisphere = 3·π·r²

Which gives;

Surface area of ice cream cone,\(A_{ch}\) = π·r·(r + √(h² + r²)) + 3·π·r²

Where;

r = The radius of the cone = \(\dfrac{6 \, cm}{2}\) = 3 cm

\(A_{ch}\) = π ×3 × (3 + √(12² + 3²)) + 3·π·3² ≈ 229.68

iii) The volume of 1 ice-cream, \(V_{ic}\) = \(\frac{1}{3}\) × π × r² × 12 + \(\frac{2}{3}\) × π × r³

Which gives;

\(V_{ic}\) = \(\frac{1}{3}\) × π × 3² × 12 + \(\frac{2}{3}\) × π × 3³≈ 169.45

iv) The CSA of the cylindrical container is given as follows;

Curves Surface Area of a cylinder, CSA = 2·π·R·h

v) The number of ice-cream cones, n, that can be filled is given as follows;

\(n = \dfrac{V}{V_{ic}}\)

\(n = \dfrac{1,696.46 \, cm^3}{169.45 \, cm^3/cone} \approx 10 \ cones\)

The number of ice-cream cones that can be filled ≈ 10 cones

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The given linear programming problem aims to maximize the objective function \(Z = 3x1 + 2x2\), subject to four constraints: x1 ≤ 4, x2 ≤ 6, 3x1 + 2x2 ≤ 18, and x1 ≥ 0, x2 ≥ 0.

The objective of linear programming is to optimize (maximize or minimize) a linear objective function while satisfying a set of linear constraints. In this case, the objective is to maximize \(Z = 3x1 + 2x2\).

The constraints in the problem define the feasible region, which is the set of all points that satisfy the constraints. The constraints state that x1 must be less than or equal to 4, x2 must be less than or equal to 6, and the linear combination \(3x1 + 2x2\) must be less than or equal to 18. Additionally, both x1 and x2 must be greater than or equal to zero.

To solve this linear programming problem, graphical methods or optimization algorithms such as the simplex method can be employed. The feasible region is determined by graphing the constraints and finding the overlapping region. The optimal solution is the point within the feasible region that maximizes the objective function.

The explanation of the solution, including the optimal values of x1 and x2, the maximum value of Z, and the graphical representation of the problem, can be provided based on the chosen method of solving the linear programming problem.

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The 90th percentile with a mean of 392 hours and a standard deviation of 9 hours is  403.538.

Given:

The lifetimes of light bulbs of a particular type are normally distributed with a mean of 392 hours and a standard deviation of 9 hours.

P(z<=?) = 0.90

z = 1.282

1.282 = x - mean / standard deviation

1.282 = x - 392 / 9

1.282 * 9 = x - 392

11.538 = x - 392

x = 392 + 11.538

x = 403.538.

Therefore the 90th percentile with a mean of 392 hours and a standard deviation of 9 hours is 403.538.

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