Please help find these angle for me plz!

Please Help Find These Angle For Me Plz!

Answers

Answer 1
The remaining angle would be 40 degrees.

With triangles, all 3 angle values add up to 180, so we must apply that to this problem.

56+84=140

180-140=40

So our answer would be 40 degrees
Answer 2

Answer:

<DEF = 40°<EBF = <EDF = 56°<DCF = <DEF =40°<CAB = 84°

Step-by-step explanation:

In triangle DEF, we have:

Given:

<EDF=56°

<EFD=84°

So, <DEF =180° - 56° - 84° =40° (sum of triangle angles is 180°)

____________

DE is a midsegment of triangle ACB

( since CD=DA(given)=>D is midpoint of [CD]

and BE = EA => E midpoint of [BA] )

According to midsegment Theorem,

. (DE) // (CB) "//"means parallel

. DE = CB/2 = FB =CF

___________

DEBF is a parm /parallelogram.

Proof: (DE) // (FB) [(DE) // (CB)]

AND DE = FB

Then, <EBF = <EDF = 56°

___________

DEFC is parm.

Proof: (DE) // (CF) [(DE) // (CB)]

And DE = CF

Therefore, <DCF = <DEF =40°

___________

In triangle ACB, we have:

<CAB =180 - <ACB - <ABC =180° - 40° - 56° =84° (sum of triangle angles is 180°)

[tex]HOPE \: THIS \: HELPS.. GOOD \: LUCK![/tex]


Related Questions

Help please! Thank you

Answers

The correct answer is B. 2 sq

Step by step
Is
Below

Given: l | | m m 1 = 140° m 3 = 50° m 6 =

Answers

Answer:

m∠6 = 90°

Step-by-step explanation:

∠1 and ∠2 are a linear pair.  This means they are supplementary, or their measures sum to 180°.  To find m∠2, we subtract m∠1 from 180:

180-140 = 40°

The measure of ∠2 is 40°.

The sum of the measures of the angles in a triangle is 180°.  We have ∠2 and ∠3; to find the measure of ∠6, we subtract these two from 180:

180-(40+50) = 180-90 = 90°

Is anyone good at probabiltiy??
Pls helppppp

In a school, 60% of the students take a foreign language class and 20% of
students take both foreign language and technology. What is the probability that a student takes technology given that the students takes foreign language?

Answers

Answer:

1/3

Step-by-step explanation:

Only 20% / 60% = 1/3 of the foreign language students take technology as well, therefore the probability would be 1/3.

In the equation y= 22 - 3.c + 8the y-intercept is - 3
True
O False

Answers

Answer:

False

Step-by-step explanation:

[tex]y = x^2-3x+8[/tex]

Y-intercept is when x = 0

So, Putting x = 0 in the above equation

[tex]y = (0)^2-3(0)+8\\y = 0-0+8\\y = 8[/tex]

So, y-intercept = 8

y-intercept = -3 is a false statement.

Answer:

[tex]\boxed{false}[/tex]

Step-by-step explanation:

The y-intercept is when the value of x is 0.

Let x = 0

y = 0² - 3(0) + 8

y = 0 - 0 + 8

y = 8

The y-intercept is 8.

Please can someone help me with this

Answers

Answer:

[tex]\boxed{V = 434.9 \ cm^3 }[/tex]

Step-by-step explanation:

Volume of Sphere = [tex]\frac{4}{3} \pi r^3[/tex]

Where r = 4.7 cm

V = [tex]\frac{4}{3} (3.14)(4.7)^3[/tex]

V = [tex]\frac{4}{3} (3.14)(103.8)[/tex]

V = [tex]\frac{1304.7}{3}[/tex]

V = 434.9 cm³  (Up to 1 dp)

Answer:

Step-by-step explanation:

4/3×22/7×4.7^3=435.1cm

help me quickly, please! For a function p(x), as |x|= infinity, then p(x)=2. which of the following graphs could be p(x)

Answers

Answer:

A

Step-by-step explanation:

What as |x|= infinity, then p(x)=2 mean is that,

as x get bigger on either side of +ve or -ve, you get really close to 2.

Graph A could be p(x).

The answer is option A.

What is a simple definition of function?

A function is defined as a relation between a fixed of inputs having one output every. In easy words, a function is dating between inputs in which every entry is associated with precisely one output. Each function has a site and codomain or range.

What is a function example?

A function can then be defined as a set of ordered pairs: Example: {(2,4), (3,5), (7,3)} is a function that says. "2 is related to 4", "3 is related to 5" and "7 is related 3". Also, notice that: the domain is {2,3,7} (the input values).

Learn more about function here: https://brainly.com/question/4025726

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What is the area of the polygon below?

Answers

Answer:

[tex]24 units^2[/tex]

Step-by-step explanation:

Well we can divide the given polygon into smaller triangles.

The triangle on the upper right corner has a base of 4 units and a height of 3 units.

So we use the following formula,

[tex]\frac{b*h}{2}[/tex]

4*3 = 12

12 / 2 = 6 units^2

Now we can do the bottom triangle.

It has a base of 4 units and a height of 1 unit.

So 4*1 = 4

4 / 2 = 2 units^2

Now for the top left triangle.

It has a base of 4 units and a height of 2 units.

So 4*2 = 8

8 / 2 = 4 units^2

Now all we have is the middle part.

Its a triangle with a base of 4 units and a height of 2 units.

So 4*2 = 8

8 / 2 = 4 units^2

6 + 2 + 4 + 4 = 16 units^2

Thus,

after adding everything up the total area of the polygon is 16 units^2.

Hope this helps :)

A student was asked to find a 99% confidence interval for widget width using data from a random sample of size n = 29. Which of the following is a correct interpretation of the interval 14.3 < mu < 30.4? Check all that are correct.
A. With 99% confidence, the mean width of all widgets is between 14.3 and 30.4.
B. The mean width of all widgets is between 14.3 and 30.4,99% of the time. We know this is true because the mean of our sample is between 14.3 and 30.4.
C. There is a 99% chance that the mean of the population is between 14.3 and 30.4.
D. With 99% confidence, the mean width of a randomly selected widget will be between 14.3 and 30.4.
E. There is a 99% chance that the mean of a sample of 29 widgets will be between 14.3 and 30.4.

Answers

Answer:

The correct options are (A), (C) and (D).

Step-by-step explanation:

The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.

Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.

It is provided that the 99% confidence interval for the mean widget width is:

CI = 14.3 < μ < 30.4

The 99% confidence interval for population mean widget width (14.3, 30.4), implies that there is a 0.99 probability that the true value of the mean widget width is included in the above interval.

Or, the 99% confidence interval for the mean widget width implies that there is 99% confidence or certainty that the true mean widget width value is contained in the interval (14.3, 30.4).

Thus, the correct options are (A), (C) and (D).

Using confidence interval concepts, it is found that the correct options are:

A. With 99% confidence, the mean width of all widgets is between 14.3 and 30.4.

C. There is a 99% chance that the mean of the population is between 14.3 and 30.4.

The interpretation of a x% confidence interval is that we are x% sure that the population mean is in the interval.

In this problem, 99% confidence interval for widget width is between 14.3 and 30.4, hence we are 99% sure that the population mean, that is, the mean width of all widgets is between 14.3 and 30.4, hence options A and C are correct.

A similar problem is given at https://brainly.com/question/15043877

Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
y = 7x + 8
y = x + 20
O A. (3, 29)
B. (7,8)
O C. (2,8)
O D. (2,22)

Answers

So option (D) is Correct.

Which function does this graph represent ?

Answers

Answer:

choice A: f(x)=3(x+1)^2+2

Step-by-step explanation:

All the choices are written in vertex form.

The vertex of the graph shown is (-1, 2).

all answer choices show that the a-value in vertex form is a positive 3

the vertex form is f(x)=a(x-h)^2+k, where h is the x-value of the vertex and k is the y-value of the vertex of the parabola

so, the equation with f(x)=3(x-(-1))^2+2, because -1 is the x-value and 2 is the y-value of the vertex

the equation fully simplified is f(x)=3(x+1)^2+2

There are 48 crackers on a plate which are going to be shared by 5 friends. Which of the following best describes how many crackers each person will get?

2 people get 10 crackers each 3 people get 9 crackers each

2 people get 13 crackers each 3 people get 12 crackers each

3 people get 10 crackers each 2 people get 9 crackers each

4 people get 8 crackers each 1 person gets 15 crackers each

will mark brainliest!!!

Answers

Answer:

3 people get 10 crackers each 2 people get 9 crackers each

Step-by-step explanation:

SO WE CHECK THE OTHER ANSWERS

1. 2 people get 10 crackers each 3 people get 9 crackers each

(2*10)+(3*9)=?

20+27=47

WHICH IS WRONG CAUSE WE NEED THE SUM TO BE 48

2. 2 people get 13 crackers each 3 people get 12 crackers each

(2*13)+(3*12)=?

26+36=62

WHICH IS WRONG CAUSE WE NEED THE SUM TO BE 48

3. 3 people get 10 crackers each 2 people get 9 crackers each

(3*10)+(2*9)=?

30+18=48

WHICH IS CORRECT CAUSE THE SUM SHOULD BE 48

4. 4 people get 8 crackers each 1 person gets 15 crackers each

(4*8)+(1*15)=?

32+15=47

WHICH IS WRONG CAUSE WE NEED THE SUM TO BE 48

SO THE ANSWER IS  3 people get 10 crackers each 2 people get 9 crackers each

I HOPE I HELPED

PLS MARK BRAINLIEST!!!!!! (DESPERATELY TRYING TO LEVEL UP)

IT TOOK ME 10 MINS TO TYPE THIS

                     -ZYLYNN JADE

IMAGE BELOW The equations x minus 2 y = 4, 4 x + 5 y = 8, 6 x minus 5 y = 15, and x + 2 y = 0 are shown on the graph below.

Which system of equations has a solution of approximately (1.8, –0.9)?
6 x minus 5 y = 15 and x + 2 y = 0
4 x + 5 y = 8 and 6 x minus 5 y = 15
x minus 2 y = 4 and 4 x + 5 y = 8
6 x minus 5 y = 15 and x minus 2 y = 4

Answers

Answer:

6x - 5y = 15 and x + 2y = 0

Step-by-step explanation:

Here we are given the following equations:

i) x-2y= 4

ii) 4x+5y= 8

iii) 6x-5y=15

iv) x+2y=0

Required:

Which system of equations has a solution of approximately (1.8, –0.9).

To find the approximate equations, substitute x and y for  1.8 and  -0.9 into all the equations respectively and check the resulting values

i) Substitute (1.8, -0.9) in x-2y= 4:

1.8 - 2(-0.9) = 4.

1.8 + 1.8 = 4.

3.6 ≠ 4.

ii) Substitute (1.8, -0.9) in 4x+5y= 8

4(1.8) + 5(-0.9) = 8

7.2 - 4.5 = 8.

2.7 ≠ 8.

iii) Substitute (1.8, -0.9) in 6x-5y=15

6(1.8) - 5(-0.9) = 15.

10.8 + 4.5 = 15

15.3 ≠ 15.

This equation has a solution that is close, therefore it is correct.

iv) Substitute (1.8, -0.9) in x+2y=0

1.8 + 2(-0.9) = 0.

1.8 - 1.8 = 0.

0 = 0.

x + 2 y = 0 has the exact value, therefore it is also correct.

The system of equations that has a solution of approximately (1.8, –0.9) are:

x+2y=0 and 6x-5y=15

Answer:

the correct answer is A

Step-by-step explanation:

How To Solve these? ​

Answers

Answer:

a. 15/23

b. 13/27

c. 400g

Step-by-step explanation:

a. When the denominators are the same, you can just sum the numerators.

Which becomes, 13+2=15--> 15/23

b. Same, when the denominator is the same, you can just minus the numerators. Which becomes, 25-12=13--> 13/27

c. 1kg=1000g. 1000/5=200✖️2=400

Choose the kind(s) of symmetry for the letter(D). Select all that apply Point Line Plane None

Answers

Answer:

The only way is across.

the only way is cross

Is it possible to draw a triangle whose sides are as follows? 6 cm, 7 cm, 17 cm. Give reasons to support your answer.

Answers

Answer:

No

Step-by-step explanation:

The sum of two random sides of a triangle must be bigger than the third side and their differences must be smaller than the third side

For example

3 - 4 - 5 can be made into a triangle because 3 + 4 > 5 and 4 - 3 < 5

What's the correct answer to this..? Please help

Answers

Answer:

D. {x:-8≤x<-5}

Step-by-step explanation:

x≥-8

x={-8,-7,-6,-5,-4,-3,-2,-1,0...}

x<-5

x={-6,-7,-8,-9,-0...}

Numbers equal to or less than -8 are also less than -5

Hope it helps ;) ❤❤❤

Answer:

The answer is "D"

BRAINLIEST, THANKS AND 5 STARS IF ANSWERED CORRECTLY. Find the 15th term: 3, 1, -1, -3, -5... Find the 14th term: 3, 1, -1, -3, -5...

Answers

Answer:

-25 and -23

Step-by-step explanation:

The arithmetic sequences are the same so we will have the same formula for each of them. The first term (a₁) is 3 and the common difference (d) is -2.

Explicit formula: aₙ = a₁ + (n - 1) * d

Our formula is aₙ = 3 + (n - 1) * (-2) = -2n + 5

a₁₅ = -2 * 15 + 5 = -25

a₁₄ = -2 * 14 + 5 = -23

Answer: -25 and -23

Step-by-step explanation:

Simplify x2 + 5x + 4/
X + 4

Answers

Answer:

[tex]\frac{x3 + 5x2 + 4x + 4}{x}[/tex]

Step-by-step explanation:

x2+5x+ 4/x+4

Instructions: Find the measure of the indicated angle to the
nearest degree

Answers

Answer:

The answer is

31°

Step-by-step explanation:

Let the unknown angle be x

To find x we use cosine

cos∅ = adjacent / hypotenuse

From the question

The hypotenuse is 56

The adjacent is 48

So we have

cos x = 48/56

cos x = 6/7

x = cos-¹ 6/7

x = 31.003

x = 31° to the nearest degree

Hope this helps you

which explicit formula can be used to find the number of rabbits in the nth generation ?

Answers

Answer:

Option B. an = 3• 6ⁿ¯¹

Step-by-step explanation:

The following data were obtained from the question:

First generation = 3

2nd generation = 1st generation x 6

2nd generation = 3 x 6 = 18

3rd generation = 2nd generation x 6

3rd generation = 18 x 6 = 108

Therefore, we can thus form a sequence as:

3, 18, 108

Since the 2nd term is obtained by multiplying the previous term (i.e the 1st term) by 6 and also, the 3rd is obtained by multiplying the 2nd by 6, the sequence is a geometric progression.

Thus,

The common ratio (r) = 6

The first term (a) = 3

The nth term (an) =?

The nth term of geometric progression is given as

an = arⁿ¯¹

Inputing the value of the first term (a) and common ratio (r) into the above equation, we obtained:

an = arⁿ¯¹

an = 3• 6ⁿ¯¹

Therefore, the explicit formula which can be used to find the number of rabbits in the nth generation is

an = 3• 6ⁿ¯¹

What is the standard form of the equation for this circle?
A (x-1)2-(y + 10)² + 4 = 0
B. (x - 1)2 - +10)2 = 2
c. (x + 1)2 + (y- 1072 = 4
D. (x-1)2-(y + 10)² = ​

Answers

Answer:

(x + 1)² + (y - 10)² = 4

Step-by-step explanation:

Standard form of the equation of a circle is given by,

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and 'r' is the radius.

In the given question coordinates of the center A are (-1, 10) and radius of the circle is 2 units.

By substituting these values in the formula,

(x + 1)² + (y - 10)² = 2²

(x + 1)² + (y - 10)² = 4

Therefore, standard form of the equation of the given circle is (x + 1)² + (y - 10)² = 4

A rectangular sheet of paper was folded in half 6 times. In the middle of this folded sheet, two holes were drilled. Then, the sheet of paper was unfolded back to its original shape. How many holes are there?

Answers

Answer:

There will be 128 holes

Step-by-step explanation:

Simply think of each fold as doubling the number of holes.  So since we have 6 folds, that will be 2^6 and then we have 2 holes in those folds, which makes 2*2^6 == 2^7 == 128 holes.  Cheers.

Folding of the paper is an illustration of a geometric sequence

The number of holes in the rectangular paper is 128

The given parameters are:

[tex]\mathbf{h = 2}[/tex] --- holes

[tex]\mathbf{t = 6}[/tex] --- number of times

The sheet was folded in halves i.e. in 2's.

So, the amount of each time is:

[tex]\mathbf{f(t) = 2 \times h^t}[/tex]

Substitute values for h and t

[tex]\mathbf{f(6) = 2 \times 2^6}[/tex]

Evaluate the exponent

[tex]\mathbf{f(6) = 2 \times 64}[/tex]

Multiply

[tex]\mathbf{f(6) = 128}[/tex]

Hence, the number of holes in the rectangular paper is 128

Read more geometric sequence at:

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Subtract: (7-6i)(4+2i)

Answers

Answer:

(3-8i)

Step-by-step explanation:

Group the real part and the imaginary part of the complex number

*Marie made a model (shown below) of the square pyramid she plans to build when she grows up. Find the surface area of the model. 8 12 12

Answers

Answer:

336m^2

Step-by-step explanation:

The triangle area is half of base times height so: 1/2*8*12=48m^2

There are 4 triangles so 48*4=192

Then the square base area is side times side so: 12*12=144m^2

Then surface area of model is 192m^2+144m^2=336m^2

Answer:

336 m²

Step-by-step explanation:

We can find the surface area of this pyramid by finding the surface area of one of the sides, multiplying it by 4 (as there are 4 sides to the pyramid) then adding it to the surface area of the base.

Each side of this (excluding the base) is a triangle, and to find the area of a triangle we use the equation [tex]\frac{b \cdot h}{2}[/tex].

[tex]\frac{12 \cdot 8}{2}[/tex]

[tex]\frac{96}{2}[/tex]

48.

So, one side of this is 48. Multiplying it by 4 gets us 192.

Now we have to add the area of the base. The area of the bass is a square with side lengths of 12, so we can square 12 to get the area of the bass. 12² = 144.

Now let's add these numbers:

192+144 = 336

So, 336 m² is what this comes out to.

Hope this helped!

PLZ HELP WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST What is the slope-intercept form of the equation of the line that passes through the points (2, 7) and (4, −1)? y=−4x+15 y=−4x+3 y=−4x+30 y=−4x+12

Answers

Answer:

A.

Step-by-step explanation:

We are given the two points (2,7) and (4,-1).  In order to determine the linear equation, we need to find the slope and the y-intercept. First, find the slope m. Let (2,7) be x1 and y1, and let (4,-1) be x2 and y2:

[tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{-1-7}{4-2}=-8/2=-4[/tex]

Thus, the slope is -4.

Now, to find the y-intercept, we can use the point-slope form. Recall that the point slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

Where (x1, y1) is a coordinate pair and m is the slope.

Use either of the two coordinate pair. I'm going to use (2,7). Substitute them for x1 and y1, respectively:

[tex]y-(7)=-4(x-(2))\\y-7=-4x+8\\y=-4x+15[/tex]

This is also slope-intercept form. The answer is A.

Answer:

A. y=-4x+15

Step-by-step explanation:

First, you want to find the slope by using the formula

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

The first step is to put in the right numbers,

[tex]\frac{-1-7}{4-2}[/tex]

Then, subtract the numbers accordingly

[tex]\frac{-8}{2}[/tex]

Then simplify

[tex]\frac{-4}{1}[/tex] or -4

The next step is finding the y-intercept, you can do this by drawing it out or using the formula (i will be using the point (2,7) where y is 7 and x is 2)

y=-4x+b   Plug in the values

7=-4(2)+b   Multiply

7=-8+b   add 8 to both sides to isolate the variable

15=b

so y=-4x+15

Hope this helps, if you have any questions, feel free to ask.

Have a good day! :)

Write the equations after translating the graph of y = | 1/2 x−2|+3 One unit to the left. FIRST ANWSER GETS BRAINILY!!!!

Answers

Answer:

Translating it to the left by 1 unit means that we need to add 1 from the quantity in the absolute value symbols. However, it is 1/2x and not x so we only add 1/2 which gives us y = |1/2x - 1.5| + 3.

Determine what type of quadrilateral ABCD is, given the following points. A(0,0) B(5,0) C(0,4) D(5,4) Parallelogram, Rectangle, Rhombus, or Square

Answers

Answer:

None

Step-by-step explanation:

You wrote:

"Determine what type of quadrilateral ABCD is, given the following points. A(0,0) B(5,0) C(0,4) D(5,4) Parallelogram, Rectangle, Rhombus, or Square"

According to what you wrote, you don't have any of the listed quadrilaterals.

ABCD (in that precise order) is not a simple polygon according to the coordinates of the points since there is an internal intersection of sides.

ABDC, though, is a rectangle.

The quadrilateral with points A(0,0), B(5,0), C(0,4) and D(5,4) is a rectangle, option B is correct.

To find the type of quadrilateral find the length of four sides:

For A(0,0) and B(5,0)

AB=√(5-0)²+(0-0)²

AB=5 units

For  B(5,0) and D(5,4)

BD=√(5-5)²+(4-0)²

BD=√16

BD=4 units

For C(0,4) and D(5,4):

BD=√(5-0)²+(4-4)²

=5 units

For A(0,0) and C(0,4):

AC=√(0-0)²+(4-0)²

= 4 units.

In the quadrilateral the opposite sides are equal, so it is a rectangle.

Hence, the quadrilateral is a rectangle. Option B is correct.

To learn more on Quadrilateral click here:

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Complete question:

Determine what type of quadrilateral ABCD is, given the following points. A(0,0) B(5,0) C(0,4) D(5,4)

(A) Parallelogram

(B) Rectangle

(C) Rhombus
(D)Square

Given: AB = BC, AC is ∠ bisector of ∠BAD Prove: BC ∥ AD

Answers

Answer:

<BAC ≅ BCA by rule Base angle theorem

Step-by-step explanation:

What we know:

BAC = DAC

BC = BA

ΔBCA is an isosceles so ∠BCA  =  ∠DCA and ∠BAC

and we found that out by base angle theorem since

Base angle Theorem  = Two base angles of a icosceles triangle are equal.

And since ΔBCA is an isoceles then ∠A and ∠C will be equal. And so we can prove BC is a parallel to AD

The proof that BC ∥ AD from the given statements is that;

BC ∥ AD because of the definition of alternate angles

We are given;

AB = BC  

 AC is ∠ bisector of ∠BAD

Since AC is the angle bisector of ∠BAD, it means that;

∠BAC  = ∠DAC (definition of a bisected angle)

Now, since AB = BC, it means that ΔBCA is an isosceles triangle.

Thus; ∠BCA = ∠BAC  (base angle theorem)

Now, since ∠BCA = ∠BAC, and ∠BAC  = ∠DAC, we can say that;

∠BCA = ∠DAC

This means  ∠BCA and ∠DAC are alternate angles. Thus, we can say that AC is the transversal line carrying the two equal angles.

Thus, we can say that BC is parallel to AD as they are the parallel lines cut by the transversal line AC.

Read more at; https://brainly.com/question/24778555

10 pts
A 25-foot ladder is placed against a building and the top of the ladder makes a 32° angle with the
building. How many feet away from the building is the base of the ladder? Write only the number
rounded to the nearest tenth of a foot.

Answers

Answer:

13.2 ft

Step-by-step explanation:

We are given a ladder, a building, and an angle. Let's construct a right triangle (see attachment).

In this right triangle, we know that the hypotenuse (the ladder) is 25 feet, while the angle made between the top of the ladder and the building is 32°. Since we want to find the number of feet between the building and the base of the ladder, we will use the trigonometric function sine, which is opposite divided by hypotenuse.

Here, the opposite side is the value we want to find, while the hypotenuse is the length of the ladder.

We have:

sin(32°) = opposite / hypotenuse = x / 25

x = 25 * sin(32°) ≈ 13.2 ft

The answer is thus 13.2 ft.

~ an aesthetics lover

The stock of Company A lost 2.75% today to $77.80. What was the opening price of the stock in the beginning of the day?

Answers

Answer:

$80

Step-by-step explanation: $80.00*.0275= 2.20  80.-2.20=$77.80

The opening price of the stock in the beginning is A = $ 80

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the opening price of the stock in the beginning be A

Now , the percentage of decrease in the stock price = 2.75 %

And , the price after decrease = $ 77.80

On simplifying , we get

The opening price of the stock in the beginning - ( percentage of decrease in the stock price ) x opening price of the stock in the beginning = $ 77.80

A - ( 2.75 / 100 )A = 77.80

( 97.25/100 )A = 77.80

Divide by 97.25 on both sides , we get

A / 100 = 0.8

Multiply by 100 on both sides , we get

A = $ 80

Hence , the opening price of the stock is A = $ 80

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