Doing push ups is an example of

Usually dilations have a center of dilation at the origin (0,0). When this occurs all we need to do is multiply each coordinate by the dilation scale. Unfortunately things get a little more complicated when the center of dilation is not at the origin.

In this case the center of dilation is located at F: (3,1)

The first step we must take is to find how many units point F is from vertex A.

In this case, F is 4 unit up and 8 units right of vertex A. (Reference the first image below to see how I found this)

Now we must multiply these dimensions (4 units and 8 units) by the factor of dilation (0.25)

4 * 0.25 = 1

8 * 0.25 = 2

This shows us how many dimensions away point \(A^{1}\) is from point F:

1 unit vertically

2 units horizontally

Now how do we know if \(A^{1}\) is above or below, left or right from point F? Easy! There has been no translations so the directions will be the same as the original:

Point F: (3, 1) ---> (3-2, 1-1) ---> (1, 0)

Reference the second image to see this

Hopefully this helps and makes sense. Let me know if you need further explanation or clarification.

~Just a girl in love with Shawn Mendes

Answer:

D 1,0

Step-by-step explanation:

credit to the one up above

Let us solve the problem step by step:

Firstly, we can use the following formula in order to solve the problem:

sinθ = -sqrt(1 - cos²θ) where sinθ = 7/47.

Substituting in the above equation we get:

7/47 = -sqrt(1 - cos²θ)

Squaring both the sides of the equation, we get:

cos²θ = 1 - (7/47)²

Therefore, cos²θ = 2208/2209

As the angle is in the fourth quadrant, cosθ will be negative.

Therefore, we take the negative root.

cosθ = -sqrt(2208/2209)

= -48/47

Now, using the formula for secθ we get:

secθ = 1/cosθ

= -47/48

Lastly, using the formula for tanθ we get:

tanθ = sinθ/cosθ

= (7/47)/(-48/47)

= -7/48

In this problem, we are required to find the exact values of secθ and tanθ for an angle θ in the fourth quadrant given that sinθ = 7/47.

We start solving the problem by using the formula:

sinθ = -sqrt(1 - cos²θ).

By substituting the value sinθ = 7/47 in this formula, we get:

7/47 = -sqrt(1 - cos²θ).

On squaring both sides of the equation we get:

cos²θ = 1 - (7/47)²

= 2208/2209.

Hence, the exact values of secθ and tanθ are -47/48 and -7/48 respectively.

Thus, the exact values of secθ and tanθ for the given angle θ in the fourth quadrant are -47/48 and -7/48 respectively.

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Answer:

y=-1/3x+1

Step-by-step explanation:

you can also use desmos.

It's a graphing calculator

What type of relationship between points?

Answer:

Step-by-step explanation:

Given 2 points

The slope formula is

Substituting the values in slope formula:

Answer: y = 22

Answer:

angle KML= 50 degrees

Step-by-step explanation:

because triangle JHK is congruent to triangle LMK

so y = 50 then angle KML = 50 degrees

Answer:

h = 440.94 feet

Step-by-step explanation:

It is given that,

An architect is standing 370 feet from the base of a building, x = 370 feet

The angle of elevation is 50°.

We need to find the approximate height of the building. let it is h. It can be calculated using trigonometry as follows :

\(\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{h}{x}\\\\h=x\tan\theta\\\\h=370\times \tan50\\\\h=440.94\ \text{feet}\)

So, the approximate height of the building is 440.94 feet

Step-by-step explanation:

Constructions are useful in life. From learning it, you are able to use the required tools, and get familiarized with different shapes and angles. This would help you prepare for the task of proving theorems that involved those shapes and angles. It is not the end, ultimately, it prepares you for real life. Constructions are applied in building houses, estates, etc, and constructions of roads, bridges, etc.

Answer:184161240771

Step-by-step explanation:

Calculator

Answer:

184,161,240,771

Step-by-step explanation:

have a nice day!

₊˚ ‧꒰ mei ꒱ ‧₊˚

Answer:

Step-by-step explanation:

it is 2x

The two schools will have an equal number of students enrolled in 21 years (3150 + 75(21) = 2475 + 60(21)).

The solution involves applying algebraic equation to find the unknown value.

The two high schools, Lincoln High School and Desert Mountain High School, have 3150 and 2475 students enrolled, respectively. Lincoln High School is estimating a decrease in enrollment at an average of 75 students per year. Meanwhile, Desert Mountain High School is expecting an increase of 60 students per year.

At these projected rates, the schools will have an equal number of students enrolled in 21 years.

To calculate the number of years that the two schools will have an equal number of students enrolled, you can use the formula:

L + 75x = D + 60x

Where L is the initial enrollment of Lincoln High School, D is the initial enrollment of Desert Mountain High School, and x is the number of years.

Substituting the given values, we get:

3150 + 75x = 2475 + 60x

Solving for x, we get:

15x = 675

x = 45

Therefore, the two schools will have an equal number of students enrolled in 21 years (3150 + 75(21) = 2475 + 60(21)).

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Answer:

The cheerios are more expensive per ounce

Step-by-step explanation:

6. 22 ounce box of Cheerios cost $2.79---$0.45

A 32 ounce box of Wheaties cost $3.50----$0.11

2.79/6.22 =0.45

3.50/32 = 0.11

Answer:

8 inches.

Step-by-step explanation:

3 1/4 + 4 3/4

= 3 + 4 + 1/4 + 3/4

= 7 + 4/4

= 7 + 1

= 8 inches.

Answer:

The child grew 8 inches

Step-by-step explanation:

Step 1:  Convert to improper fractions

\(3\frac{1}{4}\)

\(\frac{1+(3*4)}{4}\)

\(\frac{1+12}{4}\)

\(\frac{13}{4}\)

\(4\frac{3}{4}\)

\(\frac{3+(4*4)}{4}\)

\(\frac{3+16}{4}\)

\(\frac{19}{4}\)

Step 2:  Combine the fractions

\(\frac{13}{4}+\frac{19}{4}\)

\(\frac{13+19}{4}\)

\(\frac{32}{4}\)

\(8\)

Answer:  The child grew 8 inches

Answer:

B.) $970

Step-by-step explanation:

The person above me is correct and I did the quiz.

(a) A basis for the solution space of the homogeneous system of linear equations is:

{(-3, 1, 0, 0), (-5, 0, -5, 1)}

(b) The dimension of the solution space is 2.

To find a basis for the solution space, we first write the augmented matrix of the system and row-reduce it to its echelon form or reduced row-echelon form.

Then, we identify the free variables (variables that can take any value) and express the dependent variables in terms of the free variables. The basis for the solution space consists of the vectors corresponding to the free variables.

In this case, after performing row operations, we obtain the reduced row-echelon form:

[1 0 -1 -1 0]

[0 1 3 2 0]

[0 0 0 0 0]

The first and second columns correspond to the free variables x3 and x4, respectively. Setting these variables to arbitrary values, we can express x1 and x2 in terms of x3 and x4 as follows: x1 = -x3 - x4 and x2 = -3x3 - 2x4. Therefore, a basis for the solution space is {(-3, 1, 0, 0), (-5, 0, -5, 1)}.

Since the basis has 2 vectors, the dimension of the solution space is 2.

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All the measure of angle θ, to the nearest minute are,

⇒ tan 35° = 0.70

⇒ sin 60° = 0.87

⇒ cos 25° = 0.91

⇒ tan 75° = 3.73

⇒ cos 45° = 0.71

⇒ sin 20° = 0.34

⇒ tan 80° = 5.67

⇒ cos 40° = 0.77

We have to simplify all the measure of angle θ, to the nearest minute as,

1) tan 35 degree

⇒ tan 35° = 0.70

2) sin 60 degree

⇒ sin 60° = √3/2 = 0.87

3) cos 25 degree

⇒ cos 25° = 0.91

4) tan 75 degree

⇒ tan 75° = 3.73

5) cos 45 degree

⇒ cos 45° = 1/√2 = 0.71

6) sin 20 degree

⇒ sin 20° = 0.34

7) tan 80 degree

⇒ tan 80° = 5.67

8) cos 40 degree

⇒ cos 40° = 0.77

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Answer:

y= -1/3x+3

Step-by-step explanation:

we only need to look at the gradient as the gradient of both equations is not the same.

gradient= -1-0/12-9

= -1/3

hence, the answer is y= -1/3x+3

Answer:

V≈47.12cm³

Step-by-step explanation:

i really hope this helps

Answer:

87.50??

Step-by-step explanation:

OKAY Im not to sure if this is right but here-

Answer:

it is 14 ok ok ok

Step-by-step explanation:

Answer:

will or will not

Step-by-step explanation:

The inequality that represents the number of games [g] Cynthia can bowl to remain within her budget is -

gx ≤ 20

The general equation of a straight line is -

[y] > [m]x + [c]

[y] < [m]x + [c]

[y] ≥ [m]x + [c]

[y] ≤ [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Strict inequalities are those inequalities which use either > or < to compare expressions. Example : 2x + 4 > 5

Slack inequalities are those inequalities which use either ≤ or ≥ to compare expressions. Example : 2x + 4 ≥ 5

We have Cynthia’s mom who gave her $20.00 to spend at her friend’s birthday party on Friday night.

Assume that a single game costs $x. Then, the inequality that represents the number of games [g] Cynthia can bowl to remain within her budget is-

gx ≤ 20

Therefore, the inequality that represents the number of games [g] Cynthia can bowl to remain within her budget is -

gx ≤ 20

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We use ANOVA to test for differences between population means by examining the amount of variability between the samples relative to the amount of variability within the samples. Hence, it is TRUE

The statistical analysis tool known as analysis of variance (ANOVA) divides the observed aggregate variability present in a data set into two categories: systematic variables and random components. The random factors have no statistical impact on the presented data set, whereas the systematic factors do. The ANOVA test is used by analysts to ascertain how independent factors in a regression analysis affect the dependent variable.

ANOVA basically stands for analysis of the variance.

Hence, according to above statements, given fact is true.

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Answer:

a or b

Step-by-step explanation:

it should be p≥18

greater then or equal to 18. because if you have 18, you can get the group rate and I'd you have more than 18 you can also get the group rate.

Answer:

If A is the distance from the center of the dilation to a vertex of the pre-image, and B is the distance from the center of the dilation to the corresponding vertex on the image, then B/A is the scale factor of the dilation.

Step-by-step explanation:

The rule about the distance from the center of dilation to the vertices of the pre-image and image is \((x,y) \to (kx,ky)\)

Dilation involves changing the size of a shape.

Assume the image is shape B, and the pre-image is shape A

The scale factor would be to divide the side length of the image, by the corresponding side length of the pre-image

So, the scale factor (k) is:

\(k = \frac BA\)

Hence, the rule of dilation is:

\((x,y) \to (kx,ky)\)

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Answer:

x=8

Step-by-step explanation:

2x + 5 = 21

Subtract 5 from each side

2x+5-5 = 21-5

2x= 16

Divide each side by 2

2x/2 = 16/2

x = 8

Answer:8

Step-by-step explanation:

2 times eight plus five is 21

Check the picture below.

Answer: 8x + 6

Step-by-step explanation: Multiply the like terms. 4x times 2x is 8x, and 2 times 3 is 6. That equals 8x+6

A website randomly generates an initial password for new users, which consists of five letters. The password cannot contain numbers or special characters, and each letter can only be used once. To create such a password, you would follow these steps:

1. Start with an empty password string.
2. Generate a random letter.
3. Check if the generated letter is already in the password string.
4. If the letter is not in the password string, add it to the string.
5. Repeat steps 2-4 until the password string contains five unique letters.
6. Use the final password string as the initial password for the user's account.

By following these steps, the website can ensure that each user is assigned a unique initial password consisting of five letters, without any numbers or special characters.

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