Determine x to two decimal places.
*PICTURE ATTACHED*
*TRIGONOMETRY*​

Answer:

Father=36 years old

Step-by-step explanation:

5 people 4 children and a father

average age=12

add the ages

3+5+6+10=24

24+12=36

check the work

36 +24=60

60/5=12

answer=36

Answer:

36 years old

Step-by-step explanation:

The average age of father and four children can be expressed in mathematics as:

[tex]\displaystyle \large{\dfrac{f+c_1+c_2+c_3+c_4}{5}}[/tex]

The above expression is what you call average value or mostly known as mean - the mean value is sum of all data values divided by number of data values. The formula reference for mean/average value is:

[tex]\displaystyle \large{\dfrac{x_1+x_2+x_3+...+x_n}{n} = \dfrac{1}{n} \sum_{i=1}^n x_i}[/tex]

Determine or let the following be:

It is also given in the question that children’s ages are 3, 5, 6 and 10. Hence:

[tex]\displaystyle \large{\dfrac{f+3+5+6+10}{5} = 12}[/tex]

From above, it is also given that average of father’s age and children’s age is 12 years old - that now gives us an equation. What we have to do now is to solve for f.

First, multiply 5 both sides to get rid of denominator.

[tex]\displaystyle \large{\dfrac{f+3+5+6+10}{5} \cdot 5 = 12 \cdot 5}\\\\\displaystyle \large{f+3+5+6+10=60}[/tex]

Evaluate 3+5+6+10 which equals 24.

[tex]\displaystyle \large{f+24=60}[/tex]

Next, subtract both sides by 24 to isolate f-term.

[tex]\displaystyle \large{f+24-24=60-24}\\\\\displaystyle \large{f=36}[/tex]

Finally, we have received the value of term which is f = 36. We know that the term represents father’s age and therefore, father’s age is 36 years old!

If you have any doubts, please let me know in the comment!

Answer:

Hi,

Step-by-step explanation:

[tex]\begin{array}{|c|c|c|c|}x&3x^2+5&\Delta_1x&\Delta_2x\\--&--&--&--\\0&5&-&-\\1&8&3&-\\2&17&9&6\\3&32&15&6\\4&53&21&6\\--&--&--&--\\\end{array}[/tex]

Answer:

r = 21

Step-by-step explanation:

nth of sequence P :

[tex]T_{n} = 4n -2[/tex]

[tex]r^{th} term[/tex] : [tex]4r-2=145-3r\\4r+3r=145+2\\7r=147\\r=21[/tex]

Volume is a three-dimensional scalar quantity. The amount of water that this tank will hold till it is a quarter full is 576.576 ft³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The total volume of the right rectangular prism will be,

Total Volume = 17.6ft × 12.6ft × 10.4ft

                       = 2306.304 ft³

Since the total volume of the right rectangular prism is 2306.304 ft³, the water it will hold will be equal to its volume.

Now, the amount of water that this tank will hold till it is a quarter full is,

Amount of water = Total volume /4

                            = 2306.304ft³ / 4

                            = 576.576ft³

Hence, the amount of water that this tank will hold till it is a quarter full is 576.576 ft³.

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Answer:

1. < 3
2. < 8
3. < 5
4. < 4
5. < 6
6. < 7
7. < 2
8. < 1
9. < 8

< = Angle

Answer:

1800 meter cube

Step-by-step explanation:

you know volume = W× h× b = meter cube

10 m × 12m× 15m = 1800 meter cube

Answer:

  A, C, F

Step-by-step explanation:

The first figure is drawn using 8 squares. The next uses 11 squares, and the one shown in Step 3 uses 14 squares. The numbers of blocks follow the sequence ...

  8, 11, 14

which begins with 8 and increases by 3 from one step to the next. This constant increase from one term to the next makes it an arithmetic sequence.

__

The general term, an, of an arithmetic sequence can be written in terms of its first term, a1, and its common difference, d, as ...

  an = a1 +d(n -1)

When the first term is a1=8, and the common difference is d=3, this becomes ...

  an = 8 +3(n -1)

which simplifies to

  an = 8 +3n -3 = 3n +5

Written in functional form, these explicit equations are ...

  f(n) = 8 +3(n -1) . . . . . matches choice A

  f(n) = 3n +5 . . . . . . . . matches choice F

__

The recursive form of the definition of a sequence starts with the first term, then tells you how to obtain the next term from that. Here, the first term is ...

  f(1) = a1 = 8

and each term is 3 more than the last:

  f(n) = 3 +f(n-1) . . . . . . . . . 3 is added to the previous term

Together, this is ...

  f(n) = 8, f(n) = 3 +f(n -1) . . . . . matches choice C

Answer:

64

Step-by-step explanation:

Important angle relationships that will help us answer this question :

For more clarification kindly view the attached images :)

Using these angles relationships, we can easily find the answer two different ways.

First way :

Creating an equation : We want to find the measure of angle MPN. It's important to note that this angle falls on a line made up of other angles ( angle mpe and angle npe ) forming a straight line ( line e )

Using our angle relationships we know that angles that form a straight line are supplementary and add up to 180 degrees.

So we can say angle mpe + angle npe + angle MPN = 180. ( we can use this equation to solve for angle MPN )

Here we are given that angle mpe is a right angle ( indicated by the little square ) meaning it has a measure of 90 degrees.

So we can further simplify our equation saying that angle npe + 90 + angle MPN = 180 ( by plugging in angle mpe = 90 )

Now if you didn't know we can solve an equation ( find the missing angle ) if there is a single variable ( in this case we want the variable to be angle MPN ). This means that in order to solve for angle MPN we just find the measure of the other angle, angle npe.

Finding angle npe

The angle under "x" is corresponding to angle mpE so we can say the angle under x = angle npe.

The angle under x also appears to be supplementary to the angle with a measure of 153 degrees. So we can say that angle under x + 154 = 180

Subtracting both sides by 153 we get that angle under x = 180 - 154 = 26 degrees.

Because the angle under x and angle npe are corresponding and equal to each other, angle npe also has a measure of 26 degrees.

Finishing creating the equation and solving for angle MPN : So we have angle npe + angle mpe + angle MPN = 180

We know angle mpe = 90 and angle npe = 26

So we can say 90 + 26 + angle MPN = 180

Now we can solve for angle MPN

90 + 26 + angle MPN = 180

==> combine like terms

116 + angle MPN = 180

==> subtract 116 from both sides

angle MPN = 64 degrees

Second way :

We can also solve for angle MPN using the angle relationship " opposite interior angles "

The angle with a measure of 154 degrees and angle ePN are opposite exterior angles meaning they are congruent. ( so angle ePN = 154 )

Angle ePN is made up of angle mpe and angle MPN. This means that angle mpe + angle MPN = 154

We've already identified that angle mpe = 90 degrees because it's a right angle so we can say angle angle MPN + 90 = 154

Subtracting both sides by 90 we get that angle MPN = 154 - 90 = 64 degrees

And we are done!

A 3D shape's net is what it looks like after it's flattened out. A net can be folded into a three-dimensional shape. The correct option is C.

A 3D shape's net is what it looks like after it's flattened out. A net can be folded into a three-dimensional shape. For the same 3D shape, there may be multiple potential networks. You can make a net out of paper and fold it into the desired shape.

The net of the square pyramid has a square and 4 triangles. For a pyramid with a base as a polygon having n sides, the number of triangles is n.

Hence, it can be concluded that a pyramid can contain any number of triangles greater than or equal to 3. Thus, the correct option is C.

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Answer:

pls write your answer in order i dont know if they are together or separate

The relationship between the corresponding sides of similar triangles indicates that the height of the tree is 60 feet. The correct option is therefore;

Similar triangles are triangles in which the ratio of the corresponding sides of the triangles are equivalent for the three sides of the triangle.

The location of the tree divides the hypotenuse side and the base of the triangle formed by the building into two parts of the same length, therefore;

The length of the hypotenuse side to the building = 2 × 108 ft = 216 ft

The length of the base to the building = 2 × 90 ft = 180 ft

The ratio of corresponding sides of similar triangles and the trigonometric ratio of sines, indicates that we get;

Height of the tree/108 = 120/216

Height of the tree = 108 × (120/216) = 60 feet

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Answer:

Part A:

In order to find a coterminal angle, or angles of the given angle, simply add or subtract 360 degrees of the terminal angle as many times as possible.

Part B:Simply put, coterminal angles start at 0° and end at the same place, though in different directions and multiple times around (you're probably going to want to make that sound a little more formal). Since each time around is 360°, boom

Part C: 75° is in Quadrant II, right? If I go one more time around, 75 + 360 = 435°. I can also go "backward. Starting at 0 and going clockwise, I'm going 75 fewer degrees than all the way around, so 360-75 = 285° but since I'm going "backward" 75 - 360 = -285°. One more is on you.

Step-by-step explanation:

Answer: attached image

Answer:

B: Save $10

Step-by-step explanation:

A: $14.80, B: $12, C:$18.70, D: $16.50

Answer:

x < 5.

Step-by-step explanation:

Creo que esto es correcto. :')

Step 4 is the reason SSS

Logarithmic are inverse of exponential functions. The point where graph of f and g intersect is (0, ∞)

Logarithmic are inverse of exponential functions. Given the following functions;

g(x)=log2x and g(x)=log10x

The point where the graphs intersect is the point where g(x) = g(x)

Equate

log2x = log10x

2x = 10x

The value of x that made them equal is 0

Determine the value of g(x)

g(0) = log2(0)

g(0) = ∞

Hence the point where graph of f and g intersect is (0, ∞)

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Amir should buy the computer in Paris

Amir would pay the most sales tax in Maryland.

Amir would pay $60 in sales tax in Washington DC

The complete question is

Amir lives in Washington, DC. He wants to buy a new computer for college, and it will cost him $1,000. In Washington, DC, the sales tax rate is 6 percent. In a nearby town in paris the sales tax rate is 5 percent. A few miles away in Maryland, the sales tax rate is 9 percent. To spend the least amount total, Amir should buy the computer in . Amir would pay the most sales tax in . Amir would pay $60 in sales tax in

A sales tax is a tax paid to a governing body for the sales of certain goods and services.

In Washington, DC, the sales tax rate is 6 percent.

Paris, the sales tax rate is 5 percent.

Maryland, the sales tax rate is 9 percent.

1. To buy the computer he should prefer Paris

2. To pay the most sales tax he should prefer Maryland.

3. To  pay $60 in sales tax in he should prefer Washington DC.

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Answer:

virginia, maryland, washington

Step-by-step explanation:

edge

Answer:

1.08 inches

Step-by-step explanation:

13 / 12 , to keep aspect ratio the same

Answer:

About 61 cartons with a reminder with a remainder of 10

Step-by-step explanation:

12 * 61 = 732 → 742 - 732 = 10 eggs

hope this helps

Answer:

range is 515, mode:All values are equal, Median is 243 and the mean is  311.18

mean:to find the mean you need to add up all you numbers so all of these add up to be 3423 and then you divide by the amount of numbers which it 11 so 11 / 3423 = 311.18  so the answer is the mean is 311.18

median: to find it you need to put all the numbers smallest to biggest so it would be in the order 155, 175, 190, 210, 213, 243, 340, 380, 390, 457, 670 and then you pick the one in the middle and that would be 243

mode:All values appeared just once so there is not one

range: to find the range to need to find the differences in the smallest to the biggest number so smallest one is (155) biggers (670) so 155 - 670 = 515 so the range is 515

Hope This Helped

Answer: Hope this helps you!

x = 4

Step-by-step explanation:

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

remove parentheses (equals to 4+1(x-3) = 2x-3 which is equal to the same equation without parentheses)

4+x-3 = 2x-3

Simply

1+x = 2x-3

subtract x from both sides

1 = 1x -3

add 3 to both sides

4 = 1x

divide by 1

4 = x

Brainliest?

Answer:

Option C, The volume of the length cube is 3 times the volume of the smaller cube

Step-by-step explanation:

21.8 / 7.8 = 2.8

the volume of the larger would be 21.8^3 = 10360.23

the volume of the larger would be 7.8^3 = 474.55

The number of sections on the spinner so that each person has heir own shape and number is 5

The given parameters are:

People, n = 30

Die = 6 sided

Let the sections on the spinner be s.

The equation to calculate s is represented as:

People = Die * s

This gives

30 = 6 * s

Divide both sides by 6

s = 5

Hence, the number of sections on the spinner so that each person has heir own shape and number is 5

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Answer:

Below

Step-by-step explanation:

100 * 170/200

= 170/2

= 85%.

Answer:

A and B

Step-by-step explanation:

Hello!

Parallel lines are lines with the same slope but different y-intercept.

y = mx + b

A:

y = 2x + 3 has a slope of 2 and a y-intercept of 3.

B:

y = 2x - 5 has a slope of 2 and a y-intercept of -5

C:

y = -2x + 3 has a slope of -2 and a y-intercept of 3

Since A and B have the same slope but a different y-intercept, they are parallel lines.

Using the normal distribution, it is found that there is a 0.0582 = 5.82% probability that their mean repair time is less than 8.9 hours.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the parameters are given as follows:

[tex]\mu = 8.4, \sigma = 1.8, n = 32, s = \frac{1.8}{\sqrt{32}} = 0.3182[/tex]

The probability that their mean repair time is less than 8.9 hours is the p-value of Z when X = 8.9, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{8.9 - 8.4}{0.3182}[/tex]

Z = 1.57

Z = 1.57 has a p-value of 0.9418.

1 - 0.9418 = 0.0582.

0.0582 = 5.82% probability that their mean repair time is less than 8.9 hours.

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Answer:

18%

Step-by-step explanation:

178 200 / 990 000    x 100% = 18%