Bella wants to know how long her dog is. She measure its body and finds that it is 54 cm long. Then she measures the tail and find it is 34 cm long. How long is Bella's dog from body to tail?

The proper steps for the construction are given as 1, 2 4, and then 3.

The proper steps for the construction are;

1. Place the compass needle on the external point R. Make the compass width greater than the distance from R to the given line.

2. Draw an arc cutting the given line at two points. Mark and label the points of intersection P and Q.

3. Move the compass needle to P and make an arc below the line. Keep the compass width, and move the compass needle to Q. Draw an arc below the line crossing the other arc. Mark and label the point of intersection S.

4. Draw a line from the external point R to the points where the arcs intersect, S. Line RS is perpendicular to line PQ and passes through the external point R.

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Answer:

Step-by-step explanation:

7 marks

6 same colors

from 12 red 6 same exactly the same

12 x 11 x 10 x 9 x7 x6

1 remainig

from 9 green 6 saem exactly the same

9 x 8 x 7 x 6 x5 x4

1 remaining

add the results above to get your final answer

26 markers in total

6 to be chosen of the same color from 7

Answer:

1.37

Step-by-step explanation:

3^1=3/2=1.5

2^(1/3)=1.26

1.5×1.26=1.89

1.89^(1/2)=1.37

The cardinality of the set indicated in the task content is; 11.

It follows from the task content that the cardinality of the intersection set of set A compliment and set B compliment is to be determined.

Hence, it follows that the elements in the described set include the elements in set C only and the elements in the compliment of set A, B and C union.

On this note, it follows that the cardinality of the set is; 4 +7 = 11.

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The surface area of the given composite figure is; 528 ft²

To get the surface area of the attached composite shape, we will have to break the object down into smaller shapes to get;

Surface area 1 = 2(15 * 4) = 120 ft²

Surface area 2 = 2(9 * 4) = 72 ft²

Surface area 3 = 2(6 * 4) = 48 ft²

Surface area 4 = 2((15 * 15) - (9 * 9)) = 288 ft²

Thus;

Total surface area = 120 + 72 + 48 + 288

Total surface area = 528 ft²

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Answer:

36 hours

Step-by-step explanation:

To find the percentage of a number, change the percent to decimal form

20 percent = .20

Multiply this by the number

.20 * 180

36

20 percent of 180 = 36

The z-score for 81 is 1.75

The given parameters are:

μ = 60 , X=81, and σ = 12

The z scores is calculated using:

[tex]z = \frac{x - \mu}{\sigma}[/tex]

Substitute the given values

[tex]z = \frac{81 - 60}{12}[/tex]

Evaluate the difference

[tex]z = \frac{21}{12}[/tex]

Simplify

z = 1.75

Hence, the z-score for 81 is 1.75

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Answer:

x=−2 and y=−1

Step-by-step explanation:

Problem:

Solve y=x2;y=−x−3

Steps:

I will solve your system by substitution.

y=1/2x;y=−x−3

Step: Solve y= 1/2x for y:

Step: Substitute 1/2 x for y in y=−x−3:

y=−x−3

1/2x= =−x−3

1/2x+x=−x−3+x(Add x to both sides)

3/2x = -3

3/2x/3/2 = -3/3/2 (Divide both sides by 3/2)

x=−2

Step: Substitute −2 for x in y=1/2x:

y=1/2x

y=1/2(-2)

y=−1(Simplify both sides of the equation)

Answer:

x=−2 and y=−1

Answer:

Domain: All real number
Range: y≤-4

Answer:

The condantrnirte will be 3x if x is 0 (underfined)

Step-by-step explanation:

Line q has slope 3, as you've found.

Any line perpendicular to q will then have slope -1/3, as you've found.

Line p thus has slope -1/3 and we know it passes through (6, -5), so from the point-slope formula we get the equation

[tex]y - (-5) = -\dfrac13 (x - 6) \implies \boxed{y + 5 = -\dfrac13 (x - 6)}[/tex]

Answer:

1)A because 3 < 3.9 < 4

2)C because 8.2<8.23<8.3

3) D because 6.1>5.9

4)B because 3.6<3.625<3.7

Hope it helps!

A percentage is a way to describe a part of a whole. The relative change from last year to this year is 3.7%.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

28.6% of city employees ride the bus to work, therefore, the final value is 28.6. While Last year, 29.7% of city employees rode the bus to work, therefore, the initial value is 29.7.

Since relative change means change with respect to some value. Thus, the relative value with respect to last year is,

Relative value = (29.7-28.6)/29.7 = 0.037 = 3.7%

Hence, the relative change from last year to this year is 3.7%.

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Both statements are true. Therefore (4,2) is a solution and option D is correct.

The given inequalities are [tex]y\leq 2x-2[/tex] and [tex]y\leq x^{2} -3x[/tex].

We need to select the point that is a solution to the system of inequalities (-2,-1), (1,3), (2,1) and (4,2).

Inequalities can be seen in the speed limits on roads, the minimum age for seeing certain movies, and the distance you have to walk to go to the park. Inequalities represent a limit of what is permitted or achievable rather than a precise quantity.

Any point is a solution to this system of inequality if it satisfies both inequalities.

Check the inequalities by each option.

For (-2, -1), [tex]-1\leq 2(-2)-2 \implies -1\leq -6[/tex].

This statement is false because -1 is greater than -6. Therefore (-2,-1) is not a solution and option A is incorrect.

For (1, 3), [tex]3\leq 2(1)-2 \implies 3\leq 0[/tex]

This statement is false because 3 is greater than 0. Therefore (1,3) is not a solution and option B is incorrect.

For (2,1), [tex]1\leq 2(2)-2 \implies 1\leq 2[/tex].

[tex]1\leq 2^{2} -3(2) \implies 1\leq -2[/tex]

This statement is false because 1 is greater than -2. Therefore (2,1) is not a solution and option C is incorrect.

For (4,2), [tex]2\leq 2(4)-2 \implies 2\leq 6[/tex]

[tex]2\leq 4^{2} -3(4) \implies 2\leq 4[/tex]

Both statements are true. Therefore (4,2) is a solution and option D is correct.

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Answer: A

Step-by-step explanation:

[tex]V=\frac{1}{2}(6)(4)(2)=\boxed{24}[/tex]

Answer:

option B or 40%

Step-by-step explanation:

Well if 14/35 of the class is male. You divide 14 by 35. And after using calculator I see the answer is 40% of the class is male.

Thank

Using a trigonometric identity, it is found that the equivalent expression is given by 1.

Relating sine and cosine, we have that:

[tex]\sin^{2}{\beta} + \cos^{2}{\beta} = 1[/tex]

Then:

[tex]\cos^{2}{\beta} = 1 - \sin^{2}{\beta}[/tex]

For the tangent, we have that:

[tex]\tan{\beta} = \frac{\sin{\beta}}{\cos{\beta}}[/tex].

For the secant, we have that:

[tex]\sec{\beta} = \frac{1}{\cos{\beta}}[/tex].

In this problem, the expression is:

[tex]\frac{(1 - \sin{\beta})(1 + \sin{\beta})}{\cos^{2}{\beta}} = \frac{1 - \sin^2{\beta}}{\cos^2{\beta}} = \frac{\cos^2{\beta}}{\cos^2{\beta}} = 1[/tex]

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Answer: Tbh i don’t know anything besides that all the angles are equal to another and you have to prove it. I would just say: “90 degrees = 90 degrees

Sorry mate I can’t help

Step-by-step explanation:

Answer:

don't know is is mathematics or any other subject

Answer: C. 1, 2, 4

Step-by-step explanation:

      A factor is an integer that is a divisor of a number. In other words, the number can be divided by this integer and result in another integer.

     To answer this question, we can list the factors of both numbers. I have underlined and bolded integers that appear in both lists, giving us our answer.

   Factors of 16: 1, 2, 4, 8 and 16

   Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

                  C. 1, 2, 4

y equals short dash 2 x minus 1

In other words, y = -2x - 1 is the equation

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

Explanation:

Slope = m = -2

Point on the line is (x,y) = (1, -3)

Use these three items to find the y intercept b

y = mx+b

-3 = -2*1 + b

-3 = -2 + b

-3+2 = b

-1 = b

b = -1

The slope intercept form of y = mx+b turns into y = -2x-1 after plugging m = -2 and b = -1

The line y = 12 has a slope of 0 because it is a horizontal line, meaning that for any change in x, there is no change in y. Ths means the slope of a line parallel to it would be 0 (since parallel lines have the same slope), and the slope of a line perpendicular to it would be undefined (since perpendicular lines have slopes that are negative reciprocals of each other, and when you divide by 0, you get an undefined result).

Answer:

y =  4

x = -1

Step-by-step explanation:

4x + 2y = 4     Eq. 1

3x - y = -7       Eq. 2

from the  Eq. 2

3x = y - 7

3x + 7 = y        Eq. 3

Replacing the value of the Eq. 3 in the Eq. 1

4x + 2(3x+7) = 4

4x + (2*3x + 2*7) = 4

4x + (6x + 14) = 4

10x + 14 = 4

10x = 4 - 14

10x = - 10

x = -10/10

x = -1

from the Eq. 3

3x + 7 = y

3*-1 + 7 = y

-3 + 7 = y

4 = y

Check:

from the Eq. 1

4x + 2y = 4

4*-1 + 2*4 = 4

-4 + 8 = 4

Answer: y = 3x - 21

Step-by-step explanation:

If the lines form a right angle, this means that they are perpendicular. Therefore, we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other (in other words, their slopes multiply to -1).

The slope of AB is [tex]\frac{3-5}{8-2}=\frac{-2}{6}=-\frac{1}{3}[/tex]. This means that the slope of BC is 3.

Substituting into point-slope form,

[tex]y-3=3(x-8)\\\\y-3=3x-24\\\\\boxed{y=3x-21}[/tex]

Answer:

140km

Step-by-step explanation:

Distance = Speed x Time

= 70km/h x 2 hours

= 140km

Answer:

about 27.27 hours.

Step-by-step explanation:

If it can travel 0.11 miles in 1 hour, we need to divide 3 miles by 0.11 miles to get the number of hours it would take to travel 3 miles. 3/0.11 is 27.27 repeating.

Hope this helps!

Answer:

27.27 hours

Step-by-step explanation:

You need to set up a proportion. I did distance over time.

[tex]\frac{.11 mi }{1 hr} = \frac{3 mi}{x hr}[/tex]

Cross multiply

.11x = 3

Divide by .11

x = 27.27

D.

[tex]m(x) = 0 \\ - 3x = 0 \\ x = 0[/tex]

E.

[tex]m(x) = \frac{ - 3}{25} [/tex]

[tex] \frac{ - 3x}{x {}^{2} + 2x - 24} = \frac{ - 3}{25} [/tex]

[tex] - 3(x {}^{2} + 2x - 24) = - 3(x)(25) \\ divide \: both \: sides \: by - 3[/tex]

[tex]x {}^{2} + 2x - 24 = 25x[/tex]

[tex]x {}^{2} - 23x - 24 = 0[/tex]

[tex](x - 24)(x + 1) = 0 [/tex]

[tex]x = 24 \\ x = - 1[/tex]

Answer:

D

x=0

Step-by-step explanation:

E)

[tex]\frac{-3x}{x^2+2x-24} =\frac{-3}{25} \\x^2+2x-24=25x\\x^2+2x-25x-24=0\\x^2-23 x-24=0\\x^2-24x+x-24=0\\x(x-24)+1(x-24)=0\\(x-24)(x+1)=0\\x=24,-1[/tex]

Step-by-step explanation:

look at the attached and just plot the data. S on the x-axis and s(x) on the y-axis.

Answer:

y = 1, 9.

Step-by-step explanation:

They are the y values of the points of intersection of the 2 parabolas.

y = 1, 9.