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When the former image is rotated, the dots will be located at section 2 and 7.

When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.

From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.

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(1) The value of x is determined as 16.8.

(2) The measure of length VX is calculated as 4.1.

(3) The measure of angle UWV is 69.5⁰.

The value of the missing lengths of the triangle is calculated by applying the following formula;

(1) For the two similar triangles, the value of x is calculated as follows;

20 / (28 - x) = 30 / x

20x = 30 (28 - x )

20x = 840 - 30x

20x + 30x = 840

50x = 840

x = 840 / 50

x = 16.8

(2) The measure of length VX is calculated by applying trig ratios.

tan 63 = 8 / VX

VX = 8 / tan 63

VX = 4.1

(3) The measure of angle UWV is calculated as follows;

angle T = 360 - (94 + 127) = 139

angle UWV = ¹/₂ x 139 (angle at circumference is half of angle at center)

angle UWV = 69.5⁰

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Answer:

y = 3x + 3

slope = 3 y-intercept = 3

Step-by-step explanation:

check:

y = 3(2) + 3

y = 6 + 3

y = 9

(2,9)

Answer:

The low tide, when it is 10 feet below the high tide would be at 7am and 7pm

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

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The line of symmetry for the above figure is attached accordingly.

In mathematics, symmetry with regard to a reflection is known as reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry.

That is, a figure with reflectional symmetry does not alter when it is reflected. A line/axis of symmetry exists in 2D, while a plane of symmetry exists in 3D.

After inserting the symmetry lines, the above resulted in a kite.

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Answer:

-2.5>-25

Step-by-step explanation:

Gender is categorical nominal, end-of-the-year stock classification is categorical and ordinal, and distance is quantitative and ratio.

Quantitative variables are measured with numbers. Some examples include:

Weight measured in kilos

The distance measured in meters or kilometers

Time measured in seconds or hours

On the other hand, a categorical variable is defined by features, categories, or concepts rather than numbers. Here is an example:

Breeds of dogs: Poodles, Boston Terriers, German shepherds, etc.

Moreover, variables can be classified as:

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Answer:

30 days

Step-by-step explanation:

Look at you z-score table to find the value closest to .6400  (64%)

 my table shows this corresponds to z-score + .36   standard deviation ABOVE the mean of 22 days

    .36  * 22 = ~ 8 days

  added to the mean   8  + 22 = 30 days      

Answer:

180 is the answers for the question

Step-by-step explanation:

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Answer:

C. 50 - 4x < 36 - 3x

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

By question,

=> y = kx

When y = 16 , x = 8

=> 16 = x(8)

=> x = 2

When y = 10 ,

=> 10 = 2x

=> x = 5

Answer:

5

it is the correct answer

Answer:

f(x) = -3x + 5

Step-by-step explanation:

The slope of the function is -3 as the outputs decrease by three for each iteration.

The constant is 5 and can be determined if you plug in 1 as an x value and solve for c in an equation like this: -3(1) + c = 2

We know that the original width was 5, and that after the enlargement the width is 45. To calculate the scale factor we divide the final width between the original one, then:

Therefore the scale factor is 9.

Answer:

224

Step-by-step explanation:

360.-136.

Answer:

Yes

Step-by-step explanation:

This is clearly a function

A) The cross-sectional area of the cylinder is 706.9 square centimeters (cm²).

B) The volume of the cylinder is 10007.6 cubic centimeters (cm³).

A) To calculate the cross-sectional area of the cylinder, we need to find the area of the circular base. The formula to calculate the area of a circle is A = πr², where A represents the area and r represents the radius.

Given that the radius of the cylinder is 15 cm, we can substitute this value into the formula: A = π × 15². Using the approximation of π as 3.14, the calculation becomes A = 3.14 × 15² = 3.14 × 225 = 706.5 cm². Rounded to one decimal place, the cross-sectional area of the cylinder is 706.9 cm².

B) To calculate the volume of the cylinder, we need to multiply the cross-sectional area by the length. The formula for calculating the volume of a cylinder is V = A × h, where V represents the volume, A represents the cross-sectional area, and h represents the height or length.

Using the previously calculated cross-sectional area of 706.9 cm² and the given length of 29 cm, we can substitute these values into the formula: V = 706.9 × 29 = 20,474.1 cm³. Rounded to one decimal place, the volume of the cylinder is 10007.6 cm³.

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Answer: negative one third

Answer:

-1/3

Explanation:

There's a formula that I'll use to find the slope - it's called the slope formula.

\(\sf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)

Plug in the data:

\(\sf{m=\dfrac{8-4}{-4-8}}\\\\\sf{m=\dfrac{4}{-12}\)

Simplify:

\(\sf{m=-\dfrac{4}{12}}\)

\(\sf{m=-\dfrac{1}{3}}\)

Hence, the slope is negative one-third.

However, I can still give you some general steps to solve a math problem in 200 words.

Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.

Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.

Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.

Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.

Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.

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Answer:

70

Step-by-step explanation:

The 7 is in the 10s place so its value would be 70

The 7 is in the tens place, so it represents 70

1379 = 1000 + 300 + 70 + 9

1379 = 1*1000 + 3*100 + 7*10 + 9*1

1379 = 1*10^3 + 3*10^2 + 7*10^1 + 9*10^0

Answer:

There are no solutions.

Step-by-step explanation:

Let's solve your equation step-by-step.

9m−4=−3m+5+12m

Step 1: Simplify both sides of the equation.

9m−4=−3m+5+12m

9m+−4=−3m+5+12m

9m−4=(−3m+12m)+(5)(Combine Like Terms)

9m−4=9m+5

9m−4=9m+5

Step 2: Subtract 9m from both sides.

9m−4−9m=9m+5−9m

−4=5

Step 3: Add 4 to both sides.

−4+4=5+4

0=9

Answer:

Its no solution

Step-by-step explanation:

1)Combine like terms

2)Letters with numbers in one side and only Number on the other side

3)Solve

9m – 4 = -3m + 5 + 12m

    9m-4=9m+5

  9m-9m=4+5

            0=9

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The p value is greater than α.

Hence we made a conclusion that:

There is a significant difference between treatments.

There is no significant difference between treatments.

Given:

An experiment has been conducted for four treatments with eight blocks.

Source of Variation Sum of Squares Degrees of Freedom Mean Square F Treatments 900 Blocks 400 Error Total 1800 Use A = .05 to test for any significant differences.

we are asked to find:

The p-value is = ?

What is your conclusion = ?

P value of treatments = 0.0001

Hence p value is less than α = 0.05

so we reject H₀

P value for blocks = 0.0650

Hence p value is greater than α = 0.05

so we fail to reject H₀

Conclusion:

There is a significant difference between treatments.

There is no significant difference between treatments.

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Answer:

\(x=8, y=3\)

Step-by-step explanation:

Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.

Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:

\(y=11-x----(1)\)

Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:

\(y+5=x----(2)\)

Substitute (1) into (2):

\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)

Substitute (3) into (1):

\(y=11-8=3\)

Answer:

\(7^{3}\)

Step-by-step explanation:

7 is being multiplied by itself 3 times meaning it's to the power of 3 so the base is 7 while the exponent is 3.

The equation is proved.

G\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`\)

We need to prove the given equation. Solution: Using the identity \(`sin2x=2sinxcosx` and `cos2x=1-2sin^2x`\)

in the given equation, we get

\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`⟹ `tan(x-1)(2sinxcosx-2(1-\)

\(2sin^2x))=2(1-2sinxcosx)`⟹ `tan(x-1)(4sin^2x-2)=2-4sinxcosx`⟹ `2sin(x-1)\)

\((2sin^2x-1)=2(1-2sinxcosx)`⟹ `2sin(x-1)(2sin^2x-1)=2(1-2sinxcosx)`⟹\)

\(`2sinxcos(x-1)(4sin^2x-2)=2(1-2sinxcosx)`⟹ `2sinxcos(x-1)(2sin^2x-1)=1-\)

\(sinxcosx`⟹ `2sinxcos(x-1)(2sin^2x-1)=sin^2x+cos^2x-sinxcosx`⟹\)

`\(2sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2/2`\)

For `LHS`, using identity

\(`sin(90 - x) = cosx`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-sin(91-x))^2/2`⟹\)

\(`sinxcos(x-1)(2sin^2x-1)=(-sin(x-1))^2/2`⟹ `sinxcos(x-1)(2sin^2x-1)=sin^2(x-\)

\(1)/2`⟹ `sinxcos(x-1)(4sin^2x-2)=sin^2(x-1)`⟹ `sinxcos(x-1)(2sin^2x-1)=1/2`⟹ `1/2=1/2`.\)

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According to the problem,Therefore, x = 12714.29 and y = 1285.71. Mitchell invested $12714.29 at 6% and $1285.71 at 7%.

Investment is the process of using money to purchase assets in order to generate income or increase in value. Investing involves the purchase of assets such as stocks, bonds, mutual funds, real estate, commodities, or other investments in order to achieve financial goals. It is a long-term strategy that involves setting aside funds for the future, with the expectation of obtaining a return on the investment. The ultimate goal of investing is to maximize the return on an investment while minimizing the risk of loss.

Let x be the amount invested at 6%, and y be the amount invested at 7%.

We know that x + y = 14,000, as this is the total amount of the advance.

We also know that the total interest each year is $930. We can calculate the interest individually using the formula I = Prt, where P is the principal (the amount invested), r is the interest rate and t is the time (1 year in this case).

For the 6% investment: I = (x)(0.06)(1) = 0.06x

For the 7% investment: I = (y)(0.07)(1) = 0.07y

We now have two equations:

0.06x + 0.07y = 930

x + y = 14,000

We can use substitution to solve for x and y.

Substitute x + y = 14,000 into equation 0.06x + 0.07y = 930 to get 0.06(14,000) + 0.07y = 930.

Simplifying, we get 840 + 0.07y = 930.

Subtract 840 from both sides to get 0.07y = 90.

Divide both sides by 0.07 to get y = 1285.71.

We now know that y = 1285.71.

Substitute y = 1285.71 into x + y = 14,000 to get x = 14,000 - 1285.71 = 12714.29.

Therefore, x = 12714.29 and y = 1285.71. Mitchell invested $12714.29 at 6% and $1285.71 at 7%.

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Answer:

RS

Step-by-step explanation:

If we flip triangle PQR, we can see that RS is congruent to PR

Congruent triangles are exact same triangles, but they might be placed at different positions. The diagram below, ΔPQR ≅ ΔSTR. Complete the statement PR ≅ RS.

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

\(\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF\)

(|AB| denotes the length of line segment AB, and so on for others).

Given that the ΔPQR ≅ ΔSTR. Therefore, the sides that are equal are,

Therefore, the blank can be filled with RS.

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The set of side measurement could be used to form a triangle is option(4) 7, 12 and 18

If the sides of the triangles are a, b and c. There will be three condition

a + b > c

b + c > a

c + a > b

We have to check these condition

Part 1

The sides are 3, 5 and 7

3 + 5 > 11

8 < 11

It does not form a triangle

Part 2

The sides are 4, 18 and 23

4+18 >23

22 < 23

It does not form a triangle

Part 3

The sides are 5, 9 and 14

5+9 > 14

14 = 14

It does not form a triangle

Part 4

The sides are 7, 12 and 18

7+12 > 18

19 > 18

12 + 18 > 7

30 > 7

7+18 > 12

25 > 12

It forms a triangle

Hence, the set of side measurement could be used to form a triangle is option(4) 7, 12 and 18

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