What is the approximate value of x in the diagram below

What Is The Approximate Value Of X In The Diagram Below

Answers

Answer 1

We use Tan in this case:

Tan=(opposite/adjacent)

Tan(36)=23/x

x=23/Tan(36)

x=31.64 length

Hope it helps!

Answer 2

Answer:

x ≈ 31.64

Step-by-step explanation:

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)

Given:

sin 36° ≈ 0.588cos 36° ≈ 0.809tan 36° ≈ 0.727

The given trigonometric ratios all use the angle of 36°.

From inspection of the given diagram:

x is the side adjacent to the angle of 36°23 is the side opposite to the angle of 36°

Therefore, we should use the tan trig ratio.

[tex]\implies \sf \tan(36^{\circ})=\dfrac{23}{x}[/tex]

[tex]\implies \sf x=\dfrac{23}{\tan(36^{\circ})}[/tex]

Substituting the given value for tan 36°:

[tex]\implies \sf x \approx \dfrac{23}{0.727}[/tex]

[tex]\implies \sf x\approx31.64[/tex]


Related Questions

Age of father is 13 times the age of his son , it will be only five times after four years find the present age of the father

Answers

Answer:26

Step-by-step explanation:

c) How long does he travel at 30 km/h, if he travels 1.2 h at 20 km/h?​

Answers

Answer:

1.8 hrs

Step-by-step explanation:

1.2 hr = 20 km/hr

A hr = 30 km/hr

(cross multiply)

30 x 1.2 = 20 x A

(30 x 1.2) / 20 = A

on simplifying...

1.8 = A

Therefore, it takes 1.8 hrs to travel 30 km/hr

[this is totally my method]

A girl get n cedis pocket money each week. she saves her money for five weeks and buys a present for her mother which costs ghc7900.00.
i) write an expression for the amount of money left.
ii) what is the minimum amount she needs to save each week to be able to afford the gift

Answers

Answer:

1) n = 5n - 7900

2) 1580

Step-by-step explanation:

first one you just set up an equation and second one you set up a different equation and solve for N ( I divided n by 5 to get the answer)

Determine whether the given graph is a function or not.

Answers

Answer:

function

Step-by-step explanation:

The graph shows a function since it passes the vertical line test.

The volume of a cylinder with a height of 4 feet is 144n cubic feet what is the radius of the base of the cylinder V=nr2h

Answers

Answer: 6 ft

Step-by-step explanation:

[tex]144\pi =\pi(r^{2})(4)\\\\144\pi=4\pi r^{2}\\\\36=r^{2}\\\\r=\boxed{6 \text{ ft}}[/tex]

can someone help meeee

Answers

Answer:

1. 0

2. undefined

3. -3/2

Step-by-step explanation:

y=-3/2. This value is constant and the x does not change the value at all. so the coordinate are going to be (x, -3/2) so if we take any 2 values you're going to get (-3/2 - (-3/2)) / (x2 - x1) = (-3/2 + 3/2) / (x2 - x1) = (0) / (x2 - x1) which is always going to be 0.

x=-3/2. This value is also constant except the x-value does not vary at all so x2 and x1 are always going to be equal which will result in a 0 as the denominator thus making the slope undefined

y=-3/2x. it's just -3/2 given the slope-intercept form y=mx+b where m is the slope

Answer:

0 underfined 3

2

Step-by-step explanation:

SOLVING STEP.

the line y= 3 is parallel to the x-axis,

— 2

so the slope is 0

the line x= 3 is perpendicular to the x-axis,

2

so the slope is underfined

the slope of the line y= 3 x 3

2.

2

thank me later

Drivers pay a toll to pass over a busy bridge, and there are many toll booths that collect money. The city manager counted the total number of cars waiting to pay their tolls at 15-minute intervals during two different days, once on a weekday and once on a weekend. The histograms below show the results.

2 histograms. A histogram titled weekday traffic has number of cars in line on the x-axis, and frequency on the y-axis. 0 to 10, 4; 10 to 20, 13; 20 to 30, 19; 30 to 40, 8; 40 to 50, 5; 50 to 60, 1. A histogram titled weekend traffic has number of cars in line on the x-axis, and frequency on the y-axis. 0 to 10, 12; 10 to 20, 20; 20 to 30, 14; 30 to 40, 3; 40 to 50, 1.

Using the histograms, which of the following is the correct comparison of the distributions?

The 10–20 interval contains the most observations on both days.
The two distributions for number of cars in line are both skewed right.
The median number of cars for both distributions lies in the 20–30 interval.
There were more than 40 cars in line more often on the weekend than the weekday.

Answers

The conclusions are:

The median number of cars for both distributions lies in the 20–30 interval.There were more than 40 cars in line more often on the weekend than the weekday.What is mean and median ?

The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list

The median is the middle value in a list ordered from smallest to largest.

Given:

Data A:

0 - 10     4

10 - 20   13

20 - 30  19

30 - 40   8

40 - 50   5

50 - 60   1

Data B:

0-10  12

10-20  20

20-30  14

30-40  3

40-50  1

The median number of cars for both distributions lies in the 20–30 interval.There were more than 40 cars in line more often on the weekend than the weekday.

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The median number of cars for both distributions lies in the 20–30 interval and there were more than 40 cars in line more often on the weekend then the weekday.

What is mean and median ?

The arithmetic mean is found by adding the numbers and dividing the sum by the number of data in the list.

The median is the middle value in a list ordered from smallest to largest.

Given data:

Data A:

0 - 10           4

10 - 20        13

20 - 30       19

30 - 40        8

40 - 50        5

50 - 60        1

Data B:

0-10           12

10-20        20

20-30        14

30-40         3

40-50         1

Thus, the median number of cars for both distributions lies in the 20–30 interval and there were more than 40 cars in line more often on the weekend then the weekday.

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Which of the following are solutions to the equation below?
Check all that apply.
(3x - 5)^2 = 19

Answers

Answer:

To solve the answer, you can do it in 2 ways:

1) you could take the square root on both sides and solve for x

OR

2)you could multiply 3x-5 times itself and subtract 19 on both sides and use the grouping or quadratic formula method to find x.

Hope it helps.

Take the square root of each side of the equation to set up the solution for

Remove the perfect root factor

under the radical to solve

The complete solution is the result of both the positive and negative portions of the solution.

The result can be shown in multiple forms.

Exercise 1.2 1 Round each of these numbers to the degree of accuracy shown in brackets. a) 7765 (nearest hundred). b) 1099 (nearest thousand). c) 487 (nearest ten) d) 34 766 (nearest hundred) e) 45620000 (nearest million please help me​

Answers

Answer:

a. 700

b. 1000

c. 80

d. 700

e.

What is the asymptote of the following function: Y = e^x-x

Answers

Answer:

y = -x

Step-by-step explanation:

Breaking down the equation

[tex]y=e^x-x[/tex] can be written as [tex]y=e^x + (-x)[/tex], making it more clear that this function is composed of two functions:

An exponential function, and a linear function

asymptotes of the parts

The regular exponential function normally has an asymptote at y=0, a horizontal line because as "x" gets more and more negative, e^(x) gets closer and closer to zero (see blue graph).  This asymptotic behavior perhaps can be more easily understood by recognizing that [tex]e^{-x}[/tex] is equivalent to [tex]\dfrac{1}{e^x}[/tex], so that as the x values get more and more negative, it is effectively dividing 1 by a larger and larger number, thus getting closer and closer to zero.

In this situation, that exponential function is added to "-x", which is a linear function with a slope of negative 1.

As the left end of the exponential function gets closer and closer to zero, the exponential part contributes almost nothing to the sum, whereas as the "x" gets more and more negative, the linear function "-x" gets more and more positive (linearly).  Since the exponential piece adds almost nothing to it (when moving to the left), the combined function is essentially "-x" (although it is ever so slightly greater than it, just as it was ever so slightly greater than zero) (see pink graph, with dashed asymptote).

Clarifications

To be clear, on the right side of the graph, the exponential part of the function completely overwhelms the linear piece, and the function behaves much more like an exponential function, nearly completely masking the behavior of the linear piece.  Since an exponential function is unbounded, and the domain of both the exponential and linear functions are all real numbers, on the right side of the graph, there is no asymptotic behavior.

Can someone help me please?

Answers

Answer:

B. <TSN and <ISW

C. <KSW and <NST

Answer:

D. ∠ISN and ∠TSW

Step-by-step explanation:

The meaning of vertical angles is each of the pairs of opposite angles made by two intersecting lines.

The angles ∠ISN and ∠TSW are made by two intersecting lines. This means that these angles are vertical angles.

Hope this helps!

If not, I am sorry.

please help fr , like i acc need help

Answers

Step-by-step explanation:

first a little help, how they got the equations :

in total they need 15 liters.

so, whatever x and y are, but together they must be 15 L.

x + y = 15

then, we are mixing x liters of 20% alcohol with y liters of 100% alcohol, that have to result in a 40% solution of (x+y) liters :

0.2x + y = 0.4(x+y)

we know from the first equation that x+y = 15, so the second equation is actually

0.2x + y = 0.4 × 15 = 6

so, we have

x + y = 15

0.2x + y = 6

do you notice something ? there is a "+ y" in both equations.

so we can actually subtract the second equation from the first, eliminate y and solve for the remaining x. and then use one of the original equating to get also y :

x + y = 15

- 0.2x + y = 6

---------------------

0.8x 0 = 9

0.8x = 9

x = 9/0.8 = 11.25 liters

x + y = 15

11.25 + y = 15

y = 15 - 11.25 = 3.75 liters

Ria left home at 13:00
She drove for 30 minutes at a constant speed of 40 mph.
She then stopped for a break.
Ria then drove to the hospital at a constant speed.
She was at the hospital for 30 minutes.
She then drove home at a constant speed of 32 mph.
Show that she does not arrive home before 16:30

Answers

Ria will not arrive before half past four because in total the activities that she did will take her at leat three hours and forty-five minutes.

How to know the time Rita spent in each activity/movement?

The time can be determined by using the graph. In the graph, the time is represented by small squares. Each of this squares will be equivalent to 15 minutes.

You can infer this because Rita first drove for 30 minutes and in the graph the line goes from 0 in the x axis to two squares to the right (30/2 = 15 minutes.)

How much time did Rita spent?First movement: 30 minutesBreak: 30 minutes (2 more squares)Drive to the hospital:  60 minutesTime at the hospital: 30 minutes Drive back home: 75 minutes(Total distance 40 miles/ 32 miles per hour = 1.25 hours)Total: 225 minutes or  3 hours and 45 minutes

If she started this activities at 13:00 so she will go back home at 4:45.

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I'm just confused. I know we've learnt this before but I just forget. I'm doing one of the review sheets before our exam tomorrow. If you could help me out that would be great

Answers

Answer:

b. y= 4x-34.

Step-by-step explanation:

We can use the information in the problem to make an equation in slope-intercept form (y=mx+b).

Steepness typically means the slope of the graph, thus m=4.
This means we can automatically cross out "a" and "c", which leaves us with "b" and "d" as possible answers.

Next, I will plug in the given point (8, -2) into "b" and "d".
b. y=4x-34
-2=4(8)-34
-2=32-34

d. y=4x+34
-2=4(8)+34
-2 does not equal 66

Thus, the answer is b. y= 4x-34.

What’s the value of x?

Answers

Answer:

the two angles equal 180 degree

so 2x+2+5x+3=180

2x+5x+3+2=180

7x=180-5

7x/7=175/7

x=25

Step-by-step explanation:

hope I helped

please mark me as brainlyst

type an equation for the line shown on the graph

(0,2)

Answers

Answer: Hope this helps you.

Y = MX + 2

Step-by-step explanation:

Since you don't have a picture of the line I cant find the slope but with the info I know the equation is.

Y = MX + 2

(Replace M with the slope or post the graph so I can identify the slope)

Sofia bought $38 worth of video games. She had a coupon that allowed her to save 8% on her purchases.

Answers

Answer:34.96 (answer to what is her purchase price before tax)

Step-by-step explanation:38*(1-.08)

What is the measure of \angle x∠xangle, x?
Angles are not necessarily drawn to scale.

Answers

Answer:

x=135°

Step-by-step explanation:

WZ is 180 degrees. Simply subtract 48 from 180.

180-45=135.

Hope this helps!

If not, I am sorry.

Answer:

The answer is 132

Step-by-step explanation:

For khan academy

complete the square to solve the equation below. check all that apply.

x^2 + 8x - 1 = 19

Answers

x=-10,x=2.I hope this helps.

Answer:

B and D

Step-by-step explanation:

First take the equation and subtract 19 on both sides. You get x^2+8x-20=0

using the quadratic formula you get x= (-8 + or - root (8^2 -4(1)(-20)))/ 2(1)

simplify it and you get x= (-8 +or- 12) / 2  

Separate the equation into two and you get (-8 + 12) / 2    and (-8 - 12) / 2

first one gives: 4/2=2

second gives -20/2=-10

answer x=-10,2

An oatmeal container has a volume of 269 cubic inches. If the radius of the container is 3 cm, which statement below describes how to calculate the height?

Answers

The height of the volume of the container is 93.898cm.

We have given that,

An oatmeal container has a volume of 269 cubic inches.

Volume=269 cubic inches.

Radius=3cm

What is the formula for volume?

[tex]V=\pi r^2h[/tex]

[tex]269=\pi (3)^2h\\\269=9\pi h\\\h=\frac{269\pi }{9}\h=93.89871[/tex]

The height of the volume of the container is 93.898cm.

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If a=[-2 -4 2 5 1 5 -1 -3 -4] and b=[2 3 -5 5 -4 2 -1 -1 3] find ba

Answers

The product of A and B matrix will be option D; BA = [tex]\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\-6&-6&-19\end{array}\right][/tex].

What is the multiplication of matrix?

If [tex]A = \left[\begin{array}{ccc}-2&-4&2\\5&1&5\\-1&-3&-4\end{array}\right][/tex]and [tex]B = \left[\begin{array}{ccc}2&3&-5\\5&-4&2\\-1&-1&3\end{array}\right][/tex]

then,

BA = [tex]\left[\begin{array}{ccc}2&3&-5\\5&-4&2\\-1&-1&3\end{array}\right] \left[\begin{array}{ccc}-2&-4&2\\5&1&5\\-1&-3&-4\end{array}\right][/tex]

BA = [tex]\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\-6&-6&-19\end{array}\right][/tex]

Hence, the product of A and B matrix will be option D; BA = [tex]\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\-6&-6&-19\end{array}\right][/tex].

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the equation of the line in the graph is y = (blank) x+ (blank)

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: y=-x-1[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Taking two points : (-1 , 0) and (0 , -1)

[tex] \textsf{Calculate slope (m)} [/tex]

[tex]\qquad \tt \rightarrow \: m = \cfrac{rise}{run} [/tex]

[tex]\qquad \tt \rightarrow \: m = \cfrac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex]\qquad \tt \rightarrow \: m = \cfrac{0 - ( - 1)}{ - 1 - 0} [/tex]

[tex]\qquad \tt \rightarrow \: m = \cfrac{0 + 1}{ - 1}[/tex]

[tex]\qquad \tt \rightarrow \: m = - 1[/tex]

[tex] \textsf{Y - intercept (c) of graph = -1 } [/tex]

Equation of line in slope - intercept form :

[tex]\qquad \tt \rightarrow \: y = mx + c[/tex]

[tex]\qquad \tt \rightarrow \: y = - x - 1[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Two circles are concentric if they have the same center.

On a coordinate plane, a circle has center (4, 6) and has a radius of 2 units.

Which equation represents a circle that is concentric with the circle shown but has a radius that is twice as large?

(x – 4)2 + (y – 6)2 = 4
(x – 4)2 + (y – 6)2 = 16
(x – 6)2 + (y – 4)2 = 16
(x – 6)2 + (y – 4)2 = 4

Answers

The equation of the circle is (x - 4)² + (y - 6)² = 16. The correct option is the second option (x - 4)² + (y - 6)² = 16

Equation of a circle

From the question, we are to determine the equation of the circle

The equation of circle is given by

(x - h)² + (y - k)² = r²

Where (h, k) is the center

and r is the radius

From the given information,

The two circles are concentric

∴ (h , k) = (4, 6)

But the other circle has a radius that is twice as large

∴ r = 2 × 2

r = 4

Thus,

The equation of the circle becomes

(x - 4)² + (y - 6)² = 4²

(x - 4)² + (y - 6)² = 16

Hence, the equation which represents a circle that is concentric with the circle shown but has a radius that is twice as large is (x - 4)² + (y - 6)² = 16. The correct option is the second option (x - 4)² + (y - 6)² = 16

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What type of relationship is expressed below?
5x = 2x 9
O equation
O function
O inequality

Answers

Equation. A function has at least 2 variables: an output variable and one or more input variables. An equation states that two expressions are equal, and it may involve any number of variables. Inequality is more of < > equation.

Graph g(x)=|x−4|+3.\

Answers

I insert an image graphing the function.

Function:

[tex] \boxed{ \boxed{g(x) \: = \: |x \: - \: 4| \: + \: 3}}[/tex]

MissSpanish

For what values of x does 25× - 5ײ-3?
O x = -3, x = 1
O x = -1, x = 3
3
0 X=-²2/₁X-2
Ox
3
O x= -2, x=-2/

Answers

Answer:

X = 3, -1; B

Step-by-step explanation:

Use log properties, log 5 on both sides, log 5 of 25 is 2 that times the exponent, so 2*x = 2x, and on the other side, log 5 and base of 5  cancels. So 2x = x^2 -3, which can be solved using factoring:

x^2 -2x -3 = (x-3)(x+1) = 0, x=3,-1

The value of x in 25ˣ = 5ˣ²⁻³ is x =3 or x = -1.

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given that the equation is 25ˣ = 5ˣ²⁻³.

To solve the equation, take logs on both sides, we get,

x log(25) = (x²- 3)log5

2x log 5 = (x²- 3) log5

2x = x²-3

x²- 2x -3 = 0

Now, factorize the quadratic equation,

we get,

x² - 3x + x - 3 = 0

x(x- 3) + 1(x - 3) = 0

x = 3 or -1.

Therefore, x = 3 or x = -1.

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Someone help asap pls!! Ill mark you brainliest

Answers

Answer:

d.

Step-by-step explanation:

The parent graph is shifted right 2 and down 2

HELP PLEASE
which choice is equivalent to the quotient below? √15/3√3
A. √5/3
B. √5/9
C. √5/√3
D. √4

Answers

Answer:

A - [tex]\sqrt{5}[/tex]

Step-by-step explanation:

[tex]\sqrt{15} = \sqrt{5} *\sqrt{3} \\\frac{\sqrt{5} *\sqrt{3}}{3*\sqrt{3}} = \frac{\sqrt{5}}{3}[/tex]

Answer: √5/3

Step-by-step explanation:

The theater sells two types of tickets: adult
tickets for $17 and child tickets for $10.
Last night, the theater sold a total of 403
tickets for a total of $5563. How many adult
tickets did the theater sell last night?
Show your work here
PLEASE HELP

Answers

Answer:

219

Step-by-step explanation:

adulta 219×17=3723

5563-323=1840

1840÷10=184 kids

219+184=403

a town B is 12km from another town A on a bearing of 47degree and another C is 8km from town B on a bearing of 124degree.how far is town A from town C?what is the bearing of A from C

Answers

Answer:

Distance between A and C = 16km

Bearing of A from C = 257°

Step-by-step explanation:

please see photo for detailed analysis

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