Solve x for this diagram

Answer:

x is 46 and c is 17

Step-by-step explanation:

Answer:

8 and 4

Step-by-step explanation:

let the 2 numbers be a nd b

equations :

a + b = 12

a - b = 4

Adding the two equations

a + b + a - b = 12 + 4

2a= 16

a = 8

b = 4

Answer:

C

Step-by-step explanation:

Imagine folding the paper at the x-axis line

you will see the base of the triangle will be at (1, -1) and (3, -1), and the top of the triangle will be reflected at (1, -3)

Option C matches the description

In general, the tallest and shortest plant heights can vary widely depending on the species of plant being considered.

For example, some species of trees can grow over 300 feet tall, while certain species of mosses may only grow a few millimeters in height. The specific environmental conditions, such as the availability of water, sunlight, and nutrients, can also impact the growth and height of plants. Therefore, without more specific information, it is difficult to provide a more precise answer.

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Answer:

  2.62 radians

Step-by-step explanation:

The angle is found from its cosine using the inverse cosine function.

  cos(θ) = (-√3)/2

  θ = arccos((-√3)/2) = 5π/6 ≈ 2.62 . . . radians

Step-by-step explanation:

cos 9x cos 6x - sin 9x sin 6x = cos (9x+6x)

= cos 15x

Answer:

1.95secs

Step-by-step explanation:

Given the height of the float expressed as h(t) = -16t2 - 3t + 55.

The floats reach the swimmer at h(t) = 0

Substitute

0 = -16t^2 - 3t + 55.

16t^2 + 3t - 55 = 0

Using the general formula;

t = -3±√3²-4(16)(-55)/2(16)

t = 3±√9+3520/32

t = 3±√3529/32

t = 3+59.41/32

t = 62.41/32

t = 1.95

Hence it will take 1.95secs

Answer: your picture is blocked btw

Step-by-step explanation:

According to the lectures, should we use the first angle projection in all the drawings used in our class
b. False

Explanation:
The first angle projection is one of two standard methods used in technical drawing. The choice between first angle projection and third angle projection depends on the country or region. In some parts of the world, the first angle projection is used, while in others, the third angle projection is preferred. Therefore, it is not necessary to use the first angle projection in all the drawings used in our class.

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The ordered pairs that are solutions to the inequality in this problem are given as follows:

The general format of an ordered pair is given as follows:

(x,y).

In which the coordinates are given as follows:

The ordered pairs that are solutions to the inequality are in the shaded region for this problem, hence they are given as follows:

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Answer:

a) 12 people --> weight (3) so each figure represents 4 people

b) 15×4= 60 total people

Answer:

corresponding angles, alternate exterior angles

Step-by-step explanation:

when you have to parallel lines cut be a transversal, you get different pairs of angles that are either equal or supplementary (add to 180).

For example, corresponding angles are congruent, and alternate exterior angles are congruent.

Answer:

10 is the answer of q u estion

Answer:

1) 100 degrees F

2) 50 degrees F

Step-by-step explanation:

its just simple subtraction

Answer:

32n

Step-by-step explanation:

Product means to multiple

So “product of a number” is something times a variable, in this case I used “n” to represent “number” but you don’t have to use “n” if you don’t want to, you could other letters to represent the “number”. The “number” is unknown so that way it is a variable.

The “and 32” is what the “number” is multiple to, so the answer would be: 32n

When we translate a graph adding X units it will have a horizontal shift to the left.

But if we subtract X units, it'll have a horizontal shift to the right

So in this case, x-3 means we are doing a horizontal shift to the right.

Answer:

the one that doesn't belong is 5/3

Answer:

Step-by-step explanation:

The expression is (4 x 1,000) + (3 x 100) + (6 x 1 / 100) + (7 x 1 / 1000) in simplified as the decimal number = 4,300.067

Answer:

Step-by-step explanation:

(3x + 4)(5x - 2)(4x - 3) = 60x^3 + 11x^2 - 74x + 24 =>

a  = 60

b = 11

c = -74

d = 24

Answer:

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

c) 12.3x – 18 = 3(–6 + 4.1x)

Step-by-step explanation:

A linear equation can be said to have an infinite number of solutions when the number of the right hand side is the same at the number on the left hand side of the equation.

For example:

2 = 2 or x = x or 0 = 0

Solving the question above:

Which linear equations have an infinite number of solutions? Check all that apply.

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

x - 3/7 = 6x/6 - 18/42

x - 3/7 = x - 3/7

Collect like terms

x - x = -3/7 + 3/7

0 = 0

The linear equation in option a has an infinite number of solutions

b) 8(x + 2) = 5x – 14

8x + 16 = 5x - 14

Collect like terms

8x - 5x = -14 - 16

3x = -30

x = -30/3

x = -10.

The linear equation in Option b has a true solution.

c) 12.3x – 18 = 3(–6 + 4.1x)

12.3x - 18 = -18 + 12.3x

Collect like terms

12.3x - 12.3x = -18 + 18

0 = 0

The linear equation in Option c has infinite number of solutions

d) 1\2(6x + 10) = 7(3\7x – 2)

6x/2 + 5 = 21/7x - 14

3x + 5 = 3x - 14

Collect like terms

3x - 3x = -14 - 5

0 = -19

The linear equation Option d has no solution

e) 4.2x – 3.5 = 2.1 (5x + 8)

4.2x - 3.5 = 10.5x + 16.8

Collect like terms

4.2x - 10.5x = 16.8 + 3.5

-6.3x = 20.3

x = -20.3/6.3

x = -3.22

Hence, the linear equation in Option e has a true solution

Therefore, the linear equations have an infinite number of solutions are:

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

c) 12.3x – 18 = 3(–6 + 4.1x)

Answer(x – 3\7) = 2\3 (3\2x – 9\14 ) and (12.3x – 18 = 3(–6 + 4.1x)

Step-by-step explanation:

two groups of five objects which are arranged in different ways is called permutations.

Two groups of five objects that are arranged in different ways can be referred to as permutations or combinations, depending on whether the order of the objects matters.

Permutations: If the order of the objects matters, the arrangement is called a permutation. In this case, the arrangement of the objects is significant.

Combinations: If the order of the objects doesn't matter, the arrangement is called a combination. Here, only the presence or absence of the objects matters, not their sequence.

To determine whether you're dealing with permutations or combinations, consider whether the order of the objects in each group is important for the specific problem or scenario.

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Answer:

\(10 \frac{2}{5}\)

Step-by-step explanation:

Using BODMAS

\(6\frac{1}{2} \times (\frac{8}{9} \div\frac{13}{18}) + ( \frac{3}{4} )\ of \ 3\frac{1}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ solving \ expression \ inside \ bracket \ ]\\\\\frac{13}{2} \times (\frac{8}{9} \times \frac{18}{13}) + (\frac{3}{4}) \ of \ \frac{16}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} \ ]\\\\\frac{13}{2} \times (\frac{16}{13}) + (\frac{3}{4}) \ of \frac{16}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ solving \ of \ ] \\\\\)

\(\frac{13}{2} \times (\frac{16}{13} ) + (\frac{3}{4} \times \frac{16}{5} )\\\\\frac{13}{2} \times (\frac{16}{13} ) + \frac{12}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\ solving \ \times \ expressions \ ] \\\\(\frac{13}{2} \times \frac{16}{13}) + \frac{12}{5}\\\\8 + \frac{12}{5}\\\\\frac{40 + 12}{5}\\\\\frac{52}{5}\\\\10\frac{2}{5}\)

Answer:

1oz =29.5735ml

Step-by-step explanation:

Multiply your fluid ounces number by 29.5735 to convert US fluid ounces to millilitres. Multiply your number by 28.4131 if you're using British Imperial fluid ounces as your unit of measurement. The British Imperial ounce is somewhat smaller than the US fluid ounce.

Even though one fluid ounce is slightly less than 29 millilitres, the numbers on nutrition labels are rounded up to 30. In the US, a fluid ounce is a unit of volume. Both fl oz and fluid ounces are acceptable abbreviations for fluid ounces.

The ratio of 1 fluid ounce to 29.57353193 millilitres is known as the ounce-to-millilitre conversion factor.

An ounce is a unit of weight that is equal to 480 grains, or 1/12 pound, in the troy and apothecaries' systems and 1/16 pound (437 1/2 grains) in the avoirdupois system.

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The interquartile range of the data set is 29, option B.

To find the interquartile range (IQR), we first need to find the first quartile (Q1) and the third quartile (Q3) of the data set.

First, to order the data set from smallest to largest:

43, 49, 53, 55, 61, 64, 66, 68, 75, 76, 82, 83, 86, 88, 90, 91, 92, 94, 97

Next, find Q1 and Q3. Q1 is the median of the lower half of the data set, and Q3 is the median of the upper half.

Q1 = median of 43, 49, 53, 55, 61, 64, 66, 68, 75 = 61

Q3 = median of 82, 83, 86, 88, 90, 91, 92, 94, 97 = 90

The IQR is the difference between Q3 and Q1:

IQR = Q3 - Q1 = 90 - 61 = 29

Therefore, the interquartile range (IQR) of the data set is 29.

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The population of the town increased by 1450 from 2008 to 2012. The relative increase, expressed as a percentage, is approximately 43.94%.

To find the absolute increase, we subtract the initial population from the final population: 4750 - 3300 = 1450.

Therefore, the population of the town increased by 1450 individuals over the four-year period.

To calculate the relative increase as a percentage, we use the following formula:

Relative Increase (%) = (Absolute Increase / Initial Population) × 100

Substituting the values into the formula, we have:

Relative Increase (%) = (1450 / 3300) × 100 ≈ 43.94%

This means that the population of the town increased by approximately 43.94% from 2008 to 2012.

The relative increase gives us a measure of the percentage change in the population size.

In this case, the town experienced a significant population growth of 43.94% over the four-year period.

This information can be useful for understanding demographic trends, planning infrastructure, and making policy decisions to accommodate the increased population.

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Answer:

• (0,12)

• (1,6)

• (9,8)  

• (-2,19)

• (8,3)    

Step-by-step explanation:

See the attached graph.

The two inequalities are graphed and the points that are solutions to both equations are all those in the purple area of the graph (the result of the red and blue solutions that overlap [= purple]).  The individual points are added to find which points do, or do not, fall within the solution set of both inequalities:

• (0,12)   Yes

• (-2,0)    No

• (-6,13)    No

• (1,6)      Yes

• (9,8)     Yes

• (-2,19)   Yes

• (8,3)      Yes

• (0,10)     No

The length of the legs of the right triangle are the ones in option D;

4.9 units, 14.2 units

Here we have a right triangle with one interior angle that measures 19°, and the hypotenuse measures 15 units.

To find the measures of the legs we can use trigonometric relations; we will get the measures of the two legs.

cos(19°) = x/15 ----> x = cos(19°)*15 = 14.2 units.

sin(19°) = y/15 ----> y = sin(19°)*15 =  4.9  units

Then the correct option will be D, these are the two lenghts of the legs of the right triangle.

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Using Chi-square test,

the P-value of test is 11.34 and null hypothesis is rejected, then failure type of and mounting position are dependent.

We have provide a data of failure type mounting position. Two are failure position and other mounting position.

data contains in table with rows(r) = 2 and

column (c) = 4

H₀ : type of failure is independent of the mounting position

Hₐ : type of failure is not independent of the mounting position

Using Chi-square test, we shall find out critical value,

degree of freedom = (r-1) (c-1) = 1× 3 = 3

From critical value table , degree of freedom ( df ) = 3 and significance level , α = 0.01

the Chi-square critical value , X²critical = 11.34

but excetpted value (X²) = row total ×Column total/ grand total = 10.7

therefore, X²(10.7)< X² critical ( 11.34)

so, we reject the hypothesis H₀ at α = 0.01

therefore , there is sufficient evidence that failure type of and mounting position are dependent .

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The probability that 10 squared centimeters of dust contains more than 10140 particles is 0.1841

Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.

The mean asbestos particles in 1 cm2 is given as 1000, therefore in 10 cm2 of dust, the mean number of particles is given as: 1000*10 = 10,000

The number of particles here is given as:

X ~ Poisson(y = 10000)

Therefore the normal approximation here is given as:

X Nu = 10000,02 = 10000)

The probability here is computed as:

P(X > 10090)

Converting it to a standard normal variable, we get here:

10090 – 10000 P(Z > V10000

P(Z > 0.9)

Getting it from the standard normal tables, we get here:

P(Z > 0.9) = 0.1841

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Answer:

6/42 = 1/7

Step-by-step explanation:

1/6 x 42/1

1 x 42 = 42

6 x 1 = 6

simplify to 1/7 (6 divided by 6 = 1, 42 divided by 6= 7)

hope this helps :)

Answer:

7

Step-by-step explanation:

1/6 x 42 = 7