Find the value of x in the triangle shown below.

Answer:

Question 1 is A  (7/10) Question 2 is b (39/56)

Step-by-step explanation:

Answer:

Story

Jane is 1.7 m tall.  She stands 250 m away from the base of the Eiffel tower and looks up at the top of the building.  The angle of elevation from her eyeline to the top of the building is 45°.

Question

Calculate an estimate of the height of the building. Give your answer to the nearest meter.

Calculation

Label the sides of the triangle O, A and H (where O is the side opposite to the angle, A is the side adjacent to the angle and H is the hypotenuse).

In the triangle, the angle and side A is known, and O must be calculated.

Therefore, use the trig ratio tan(x) = O/A:

⇒ tan(40) = O/250

⇒ 250tan(40) = O

⇒ O = 209.7749078...

Assume Jane's eye-level is approximately 1.5 m above the ground.

Therefore, the Eiffel tower is approximately:

209.7749078... + 1.5 = 211.2749078.. meters tall

Rounding to the nearest meter ⇒ 211 m

Answer:

3 into 1 apple so if u have 3 apples u need 9 strawberrys

Step-by-step explanation:

Answer:

17 biscuits

Step-by-step explanation:

Since she starts with 50 and gives away half which is 25, that will leave her with 25 biscuits herself. If she then eats 8 of them, that will leave her with 17 since 25-8=17.

Answer:

the answer is x=12√2

hope it helps

x = 2

y = -1/2

multiply 1st equation by 2 to get common coefficient

6x + 4y = 10

2x + 4y = 2

‐-------------- subtract equation

4x = 8

x = 2

substitute

3×2 + 2y = 5

6 + 2y = 5

2y = -1

y = -1/2

Answer:

can you make it look better

Step-by-step explanation:

The quality

Answer:

Yo hope you do not get in trouble for plagiarism

Step-by-step explanation:

Answer:

last one "kiki" is true...

Answer:

Option 2 and 4

Step-by-step explanation:

2) Number of science questions = (3/4) of total questions

                              = [tex]\dfrac{3}{4}*24[/tex]

4) Number of marbles in the jar = (3/4) of the total marbles

                  [tex]=\dfrac{3}{4}*24[/tex]

Answer:

Step-by-step explanation:

Let the width is x, then the length is 2x.

Area of rectangle:

Dimensions are:

Perimeter is:

Let dimensions be x and 2x

Now

Now

Breadth=3

Length=2(3)=6

Perimeter

Answer:

37

Step-by-step explanation:

（x+10)+x+(3x-5)=180

5x=185

x=37

The sum of angles in the triangle is 180 degrees. Therefore, the value of x in the triangle is 35

The sum of angles of a triangle is 180 degrees. This simply implies the sum of the three angles in a triangle is equals to 180 degrees.

Therefore,

x + 10 + 3x - 5 + x = 180

combine like terms

x + x + 3x + 10 - 5 = 180

5x + 5 = 180

subtract 5 from both sides of the equation

5x + 5 - 5 = 180 - 5

5x = 175

divide both sides by 5

5x / 5 = 175 / 5

x = 35

learn more on angles of triangles here: https://brainly.com/question/25873833

The correlation coefficient of the number of employees and the number of products is 0.1.

The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.

A result of zero indicates no relationship at all, therefore, independent variable.

A.) In order to find the correlation between the two quantities we need to know the mean of the two values, therefore, the mean of the number of employees can be written as,

The mean of the  number of employees

[tex]\text{Mean of the number of employees} = \dfrac{0+50+100+150+200+250+300+350+400}{9}[/tex]

[tex]\text{Mean of the number of employees} = 200[/tex]

The mean of the  number of products

Mean of the number of Products [tex]= \dfrac{100+1100+2100 +3100+ 4100 +5100+ 6100+ 7100+ 8100}{9}\\\\\\=4100[/tex]

Now, the table can be written in the following manner as shown below, using the formula of the correlation,

[tex]r =\dfrac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}[/tex]

[tex]r =\dfrac{(30 \times 10^4)}{\sqrt{(15 \times 10^4)\times (60 \times 10^6)}}\\\\r = 0.1[/tex]

B.) The given data follows the linear relationship, therefore, the function of the given data will follow the general equation of a line.

y = mx + C

If we look at the value of y when the value of x was 0,

[tex]y = mx +C \\\\100 = m(0) + C\\\\C = 100[/tex]

Substitute the value of C in any other data point we will get,

[tex]y = mx+C\\\\1100 = m(50) +100\\\\m = 20[/tex]

Hence, the function that best fits the data is y=20x+100.

C.)  The slope and y-intercept of the plot indicate that as the number of employees in the organization increases the number of products increases as well. The y-intercept shows us that if there are no employees in the company at that point the company will be able to produce 100 products on its own.

Learn more about Correlation Coefficients:

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Answer:

The 4th term is geometric

Step-by-step explanation:

For geometry series we use Tn = a•r^n-1

r = -3

a = 3

Use the equation Tn = 3(-3)^n-1 and you'll see that it's geometric.

Answers:

16 chickens

35 pigs

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

Explanation:

x = number of chickens

y = number of pigs

There are 51 heads, so x+y = 51 which solves to y = 51-x

2x = number of legs just from the chickens (2 legs per chicken)

4y = number of legs just from the pigs (4 legs per pig)

2x+4y = 172 legs total

----------

Plug in y = 51-x and solve for x.

2x+4y = 172

2x+4(51-x) = 172

2x+204-4x = 172

-2x+204 = 172

-2x = 172-204

-2x = -32

x = -32/(-2)

x = 16

Now use this to find y

y = 51-x

y = 51-16

y = 35

Since x = 16 and y = 35, this means there are 16 chickens and 35 pigs.

----------

Check:

x+y = 16+35 = 51 which works

2x+4y = 2*16+4*35 = 172 and that also works.

Both equations are confirmed.

Answer:

what are you asking

Step-by-step explanation:

what are u asking

Answer:

10,11,12

Step-by-step explanation:

32-2/3=smallest

Answer:

B. nonlinear

Step-by-step explanation:

Difference                        Difference

   in x                x     y            in y

                         0   -2

       1                                         1

                         1     -1

       1                                         7

                        2      6

       1                                         19

                       3     25

The difference between any two consecutive x-coordinates is 1. Each difference between any two consecutive y-coordinates is different. This means it is a nonlinear function.

Answer:

When a radius meets a tangent the angle is always 90° and the length of the radius stays constant

So you can do pythagoras theorem

A2+b2=c2

9^2+14^2=C^2

C= 16.64

C~17

Answer:

= B

[tex]\frac{16}{40} +\frac{15}{40} = \frac{31}{40} \\\\\frac{2}{5} +\frac{3}{8} =\frac{31}{40}[/tex]

Answer:

-28, -20, -12, 4, 4

Step-by-step explanation:

I really dont know how to explain this but yeah pretty much thats the answer.

Answer:

a) 7 in

b) 72 steps

Step-by-step explanation:

Angle of elevation formula:  [tex]tan(\theta)=\dfrac{y}{x}[/tex]

where [tex]\theta[/tex] is the angle of elevation, y is the vertical distance (rise) and x is the horizontal distance.

a)  Given:

[tex]\implies tan(32)=\dfrac{y}{12}[/tex]

[tex]\implies y=12tan(32)[/tex]

[tex]\implies y=7 \ \textsf{in (nearest inch)}[/tex]

b)  Given:

⇒ Total height = 21 + 21 = 42 feet

1 foot = 12 inches

⇒ 42 feet = 42 x 12 = 504 inches

Using vertical rise of 7 in per step found in part (a):

Number of steps = 504 ÷ 7 = 72

Increased accuracy

Using unrounded vertical rise of 12tan(32):

Number of steps = 504 ÷ 12tan(32) = 67 steps to the nearest step

The number of days for which the money is left to reach the 20,400$ mark is; 21.28 days

The final amount to be reached is; $20400

The principal amount is; $8,000 and at. rate of 4.75 % compounded.

Hence, it follows that;

Divide both sides of the equation by 8000; we have;

Take log of both sides;

Read more on compound interest;

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Answer:

e= 2.15

Step-by-step explanation:

Subtract both sides by 6

2.15=e

Thus e is 2.15

Hope this helps!

Answer:

-8

Step-by-step explanation:

given x as 4/5   and y =  - 0.1...

converting x to decimal it becomes 0.8

we then input values for x and y in the equation x/y

x/y =   0.8 /  -0.1  =   -8

The value of the fraction x/y is -8.

Given that, x= 4/5 and y= −0.1.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

To find the value of fraction x/y:

Here, x=4/5 = 0.8

Now, x/y = 0.8/(-0.1)

= -8

Hence, the value of the fraction x/y is -8.

To learn more about the fraction visit:

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Answer: 1) 36 m and 60 m^2     2) 15π/2 + 10 m and 75π/4 m^2

Step-by-step explanation:

Using the pythagorean theorem in the first question, we get that the slope is 10 m so the perimeter = 10 + 14 + 6 + 6 = 36 m and the area is

(14 + 6)*6/2 = 60 m^2

So in the next question, the arc of the circle has a length of

2π*5*3/4 = 15π/2

So the perimeter is 15π/2 + 5 + 5 = 15π/2 + 10 m

And the area is 3/4*π*5*5=75π/4 m^2

Hope it helps

Answer:

7 X = 30 + 2(x + 5)

7x = 30 + 2x + 10

7x = 40 + 2x

7x - 2x = 40 + 2x -2x

5x = 40

x=8

Answer:

x=8

Step-by-step explanation:

7 X = 30 + 2(x + 5)

7x = 30 + 2x + 10

7x = 40 + 2x

7x - 2x = 40 + 2x -2x

5x = 40

x=8