A tip of lotus was 16cm above the surface of water but forced by the wind, it gradually advanced and was submered at a distance of 56cm. find the depth of water? Ans; 90cm [plz provide detail process]

Answers

Answer 1

Answer:

90 cm is submerged (depth of water)

Step-by-step explanation:

Refer to diagram attached.

Let

x = total length of the lotus stem

16 = exposed part of stem

56 = horizontal displacement.

Hence

depth of water = x-16

Using the Pythagorean theorem,

(x-16)^2 + 56^2 = x^2

Expand

x^2 -32x + 256 +3136 = x^2

Simplify

3392 = 32x

x = 3392/32 = 106

Depth of water = x-16 = 106 - 16 = 90 cm

A Tip Of Lotus Was 16cm Above The Surface Of Water But Forced By The Wind, It Gradually Advanced And

Related Questions

Write the expression in simplest form. (-11/2x+3)-2(11/4x-5/2)

Answers

-11x+8 or 8-11x

Hope this helps you

Answer:

-11x+8 or 8-11x

Step-by-step explanation:

based on the function h(t), what will be the account value five years after the account is opened?

Answers

Answer:

Option B

Step-by-step explanation:

f(t) = 5000

g(t) = 250t

h(t) = f(t) + g(t) = 5000 + 250t

After 5 years, the amount of money in the account is:

h(t = 5) = 5000 + 250(5) = 5000 + 1250 = 6250$

HELP WITH MATH PLS!!!

Answers

Answer:

Option A, y=8

Step-by-step explanation:

If you graph each of the equations, you will find that y=8 is the only line that crosses through the point (-3,8)

Also,

If you notice the given point, the y-coordinate is 8 indicating that the point lies on the line that has y as 8

Hope that helps!!

PLZ HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1²+3

Step-by-step explanation:

I'm not to sure I hope this helped.

Which of the following is an example of exponential growth or decay?

Answers

Answer:

Since in option B, the bacteria are growing exponentially, B would be the correct answer to this question.

Step-by-step explanation:

A school is selling tickets to a drama performance. On the first day of ticket sales the school sold 3 adult tickets and 1 child ticket for a total of $38. On the second day, the school sold 3 adult tickets and 2 child tickets for a total of $52.

Which of the following system of linear equations could model this situation?

Answers

Answer:

System of linear equations

[tex]\left\{\begin{matrix} 3a+c=38 \\\\ 3a+2c=52 \end{matrix}\right.[/tex]

a: adult ticket price and c: child ticket price

Step-by-step explanation:

This system of equations can be used to find the price of the adult and child tickets.

We have two equations (one for each day) and two unknowns (adult ticket price and child ticket price).

Let a: adult ticket price and c: child ticket price,

we have for the first day that 3 adult tickets and 1 child ticket adds $38:

[tex]3a+1c=38[/tex]

and for the second day we have that 2 adult tickets and 2 child tickets adds $52:

[tex]3a+2c=52[/tex]

If we write this as a system of equations, we have:

[tex]\left\{\begin{matrix} 3a+c=38 \\\\ 3a+2c=52 \end{matrix}\right.[/tex]

In a school auditorium, the number of chairs in a row is the same as the number of rows of chairs. There are 7033 students in the school. If we know that less than 31 chairs were empty, how many chairs were empty after all the students sat down?

Answers

Same number of rows to chairs in a row would form a square.

Use the total number of students as the area

Find the number or rows by taking the square root of student:

The square root of 7033 is 83.86

Round up to 84

Total seats would be rows x seats per row:

84 x 84 = 7,056 total seats

7056 seats - 7033 students = 23 empty seats

Find the length of side a

Answers

Answer:

a = 8.

Step-by-step explanation:

a^2 + b^2 = c^2

b = 6; c = 10

a^2 + 6^2 = 10^2

a^2 + 36 = 100

a^2 = 64

a = plus or minus 8

Since side lengths can't be negative, a = 8.

Hope this helps!

find m
4x-3y=17
-78 + my = 2

Answers

Answer:

Step-by-step explanation:

Given: 4X-3Y=17

so, 4x-17 = 3Y

=> Y = (4X-17)/3

Substituting the value in second equation, we get,

=> -78 + m(4x-17)/3 = 2

=>2+78 = m(4x-17)/3

=> 80*3 = m(4x-17)

=>m= 240/(4x-17)

Hope It Helps!!

Evaluate. 33 + 11 - 10 ÷ 2 × 4 w = a0

Answers

Answer:

24

Step-by-step explanation:

33 + 11 - 10 ÷ 2 × 4

Division is first.

33 + 11 - 5 × 4

Multiplication.

33 + 11 - 20

Add or subtract.

44 - 20

= 24

Find the measures of two angles, one positive and one negative, that are coterminal with pi divided by ten . (2 points) twenty-one pi divided by ten ; negative pi divided by ten eleven pi divided by ten ; negative nine divided by ten twenty-one pi div

Answers

Answer:

The two angles coterminal with π/10 are 21π/10 and -19π/10

Step-by-step explanation:

To find a two angles that are coterminal with π/10, we add and subtract 360°(that is 2π) from π/10.

So, the first angle coterminal with π/10 is

A = π/10 + 2π

taking the L.C.M which is 10, we have

A = (π + 20π)/10

A = 21π/10

The second angle coterminal with π/10 is

B = π/10 - 2π

taking the L.C.M which is 10, we have

B = (π - 20π)/10

B = -19π/10

So the two angles coterminal with π/10 are 21π/10 and -19π/10

plz answer this one clip is down below will mark brainiest if get it right thank you

Answers

Answer:

Third option is correct.

Step-by-step explanation:

Take a closer look at the box plot given in the question. The range of the values represented in the box plot is starts from where the whiskers begins from our left, and where the whiskers to our right ends. The range of values of the points awarded ranges from 0 - 100, as represented on the box plox. Also,the median is indicated by the vertical line that divides the rectangular box into two. The median point = 70.

Now, examine all the dot plots given as options. The dot plot that has a range of 0 - 100, and a median of 70, is the dot plot that best represents the box plot.

Thus, the third option among the answer choices given would be out answer. The third option shows a dot plot with range of values of points from 0 - 100, and also a median of 70 points.

If f(x)= x-6 and g(x)=x2(x+3), find g(x) x f(x)

Answers

Answer:

x^4 -3x^3 - 18x^2

Step-by-step explanation:

f(x)= x-6

g(x)=x^2(x+3),

g(x) * f(x) = (x-6) * x^2(x+3)

                = x^2 ( x-6) ( x+3)

FOIL

                = x^2 ( x^2 +3x-6x-18)

 Combine like terms

                = x^2 ( x^2 -3x-18)

   Distribute

               = x^4 -3x^3 - 18x^2

Answer:

x⁴ - 3x³ - 18x²

Step-by-step explanation:

g(x) × f(x)

(x²(x + 3)) × (x - 6)

Expand brackets.

(x³ + 3x²)(x - 6)

x³(x - 6) + 3x²(x - 6)

x⁴ - 6x³ + 3x³ - 18x²

Combine like terms.

x⁴ - 3x³ - 18x²

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

all real numbers

Step-by-step explanation:

The domain is the values that x can take

There are no restrictions as to what x can be in this function

In the function given, it can take any x variable without it causing any problems in the function when solved.

So, any value can be x (all real numbers)

Best of Luck!

Solve the system of equations.

Answers

Answer:

             C. (-4, 11) and (2, -1)

Step-by-step explanation:

[tex]x^2-5=-2x+3\\\\x^2+2x-8=0\\\\a=1\,,\ b=2\,,\ c=-8\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-2\pm\sqrt{2^2-4\cdot1\cdot(-8)}}{2\cdot1}=\dfrac{-2\pm\sqrt{4+32}}{2}=\dfrac{-2\pm\sqrt{36}}{2}=\dfrac{-2\pm6}{2}\\\\x_1=\dfrac{-2-6}2=\dfrac{-8}2=-4\\\\y_1=-2x_1+3=-2(-4)+3=8+3=11\\\\(-4\,,\ 11)\\\\x_2=\dfrac{-2+6}{2}=\dfrac{4}2=2\\\\y_2=-2x_2+3=-2\cdot2+3=-4+3=-1\\\\(2\,,\ -1)[/tex]

What are the three main areas of a machine?

Answers

Answer:

Well on a machine there are 3 fundamental areas which are the point of operation, the power transmission device, and the operating controls.

You can find more of this information on google if youd like.

Multiply. (5x+7)^2 :)

Answers

Answer:

The answer is B.

Step-by-step explanation:

You can expand it in a simplier way using :

[tex] {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]

So for this question :

[tex] {(5x + 7)}^{2} \\ = {(5x)}^{2} + 2(5x)(7) + {(7)}^{2} \\ = 25 {x}^{2} + 70x + 49[/tex]

Answer:

B. 25x^2+70x+49

Step-by-step explanation:

To multiply we can use a method called FOIL. In this method, we multiply the first terms of each binomial, then the outer terms (first and last), then the inner terms (2nd and 3rd), and finally the last terms (2nd and last). The two binomials in this case are (5x+7)(5x+7).

So this means we first multiply 5x*5x, then 5x*7, then 7*5x, and finally 7*7. Multiplying these out we get 25x^2 + 35x + 35x +49. Finally, combining like terms we get 25x^2+70x+49, which is our answer.

Plz help fast Question 1(Multiple Choice Worth 5 points) (8.01 LC) Two lines, A and B, are represented by the equations given below: Line A: x + y = 6 Line B: x + y = 4 Which statement is true about the solution to the set of equations? There are infinitely many solutions. There is no solution. It is (6, 4). It is (4, 6).

Answers

Answer:

(B) There is no solution.

Step-by-step explanation:

Given the two lines A and B where:

[tex]L$ine A: x + y = 6 \implies y=6-x\\$Line B: x + y = 4 \implies y=4-x\\$Therefore:$\\6-x=4-x\\-x+x=4-6\\0=-2\\$Since, $ 0\neq -2,$ there is no solution.[/tex]

The correct option is B.

Answer:

A

Step-by-step explanation:

Just took test, can I have Brainliest.

HELP ME ASAP I BEG PLEASE

Answers

Answer:

Step-by-step explanation:

#2:  Amber is correct.  The distribution is skewed to the left.

1. The diagram below is an equilateral
triangle of side 6cm each. The
height is 3 3cm. What is the
distance round it?​

Answers

Answer:

can I see the diagram please

Can someone please help

Answers

Answer:

(6, -4)

Step-by-step explanation:

If ABCD is dilated by a factor of 2, you multiply the coordinates by 2. For the coordinate D', you would multiply 3 by 2 to get 6 and you would multiply -2 by 2 to get -4. Answer: (6, -4)

. If g= 12 and h = 19, what is the value of
3h(h-g)?
A. 13
B. 43
C. 252
D. 399​

Answers

The answer is d) 399

Answer:

D. 399

Step-by-step explanation:

3x19(19-12)

57x7=399

What two numbers multiply to 1/4 and add to -1?

Answers

Answer:Are there any options?

Step-by-step explanation:

Two or more expressions with an Equal sign is called as Equation. Two numbers are x =-1/2 and y=-1/2 whose product is 1/4 and which add to -1.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

We need to find two numbers whose product is  1/4 and add to -1.

Let the two numbers are x and y.

By given,

Two numbers multiply to 1/4

xy=1/4

Two numbers add to -1

x+y=-1

Let x=-y-1

Substitute in equation 1.

(-y-1)y=1/4

-y²-y-1/4=0

Multiply negative on both sides

y²+y+1/4=0

Use quadratic formula

b=1,c=1/4,a=1

y=-1±√1-1/2=-1/2

Now substitute y in x+y=-1

x-1/2=-1

x=-1+1/2

x=-1/2

Hence the two numbers are x =-1/2 and y=-1/2 whose product is 1/4 and which add to -1.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Twice the difference of a number and 5 is equal to three times the sum of the number and 2. Find the number.

Answers

Answer:

The number is - 16

Step-by-step explanation:

Let the number be x

Twice the difference of a number and 5 is written as

2( x - 5)

three times the sum of the number and 2 is written as

3( x + 2)

Equate them

We have

2(x - 5) = 3(x + 2)

Expand

2x - 10 = 3x + 6

Group like terms

2x - 3x = 16 + 10

- x = 16

Multiply through by - 1

x = - 16

Hope this helps you

Simplify these by collecting like terms :
a) 4a + 3b + 8a + 2c
b) 6x + 4y + 3y + 7y + 5y + 3x
c) 5k + 3m + 4m + 3n + 6k
Please no guess work, take your time and believe in yourself.
You are the Best.

Answers

Answer:

a)  12a + 3b + 2c

b)  19y + 9x

c)  11k + 7m + 3n

Step-by-step explanation:

a)  4a + 3b + 8a + 2c

    12a + 3b + 2c

b)  6x + 4y + 3y + 7y + 5y + 3x

    6x + 19y + 3x

    19y + 9x

c)  5k + 3m + 4m + 3n + 6k

    5k + 7m + 3n + 6k

    11k + 7m + 3n

Answer:

a) 12a+3b+2c

b) 9x + 19y

c) 11k+7m+3n

Step-by-step explanation:

a) 4a+3b+8a+2c

Combining like terms and adding them

=> 4a+8a+3b+2c

=> 12a+3b+2c

b) 6x+4y+3y+7y+5y+3x

Combining like terms and adding them

=> 6x+3x+3y+7y+5y+4y

=> 9x + 19y

c) 5k + 3m + 4m + 3n + 6k

Combining like terms and adding them

=> 5k+6k+3m+4m+3n

=> 11k+7m+3n

Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.

Answers

Answer:

42.1

Explanation step-by-step:

Working out the lenght of the blue-dashed line:

SOH

47 is the Hypotenuse.

the blue line is the adjacent.

adjacent= Cos(30) x47

adjacent= 40.7

Working out x :

40.7 is the opposite this time.

x is the adjacent.

x = 40.7/ Tan(44)

x = 42.1

Un ascensor sube desde el primer piso al quinto piso, baja al segundo, sube al octavo. Si cada piso tiene 3 metros de altura, ¿cuántos metros recorrió el ascensor?

Answers

Answer:

El ascensor recorrió unos 39 metros

Step-by-step explanation:

Segun la pregunta cada cada piso tiene 3 metros de altura, por lo tanto para calcular los metros que recorrió el ascensor tenemos que hacer el siguiente calculo:

metros desde el primer piso al quinto piso=3 metros*4=12 metros

metros desde el quinto piso al segundo piso=3 metros*3=9 metros

metros desde el segundo piso al octavo piso=3 metros*6=18 metros

Por lo tanto los metros que recorrió el ascensor=12 metros+9 metros+18 metros

metros que recorrió el ascensor=39 metros

El ascensor recorrió unos 39 metros

What does it mean if P(A or B) equals 1?

Answers

[tex]P_(_A_o_r_B_)[/tex] = 1

This means that the probability of event A or event B of happening is 1 or certainly would happen.

Can some please help me!!!. I only have 1 hour to complete it.

Answers

Answer:

The correct option is;

ASA

Step-by-step explanation:

The given information are;

1. ∠A ≅ ∠D,                                    1. Given

2. [tex]\overline{CD}\left | \right |\overline{AB}[/tex],                                   2. Given

3. [tex]\overline{CB}\cong \overline{BC}[/tex],                                  3. refl. prop.

4. ∠ABC ≅ ∠ DCB,                        4. Alt int. ∠s are ≅

5. ΔABC ≅ ΔDCB,                         5. Angle Side Angle ASA rule of congruency        

The conditions for two triangles to be congruent includes;

1. All sides equal or SSS rule

2. Side Angle Side or SAS rule

3. Angle Side Angle or ASA rule

4. Angle Angle Side or AAS rule

5. Right angle Hypotenuse Side or RHS also known as Hypotenuse Leg, HL rule

(5x – 3y) (3x + 4y)​

Answers

Answer:

[tex]15 {x}^{2} + 11xy - 12 {y}^{2} [/tex]

Solution,

( 5x - 3y) ( 3x +4y)

Multiply each terms in the first parentheses by each term in the second paranthesis.

5x * 3x + 5x * 4y - 3y * 3x - 3y * 4y

Calculate the product

15x^2 + 20xy -9xy -12y^2

Collect like terms and simplify

15x^2 + 11xy -12y^2

Hope this helps...

Good luck on your assignment...

Answer:

[tex]\boxed{\red{15 {x}^{2} + 11xy - 12 {y}^{2}}} [/tex]

Step-by-step explanation:

[tex]\blue{(5x - 3y)(3x + 4y)} \\ \blue{5x(3x + 4y) - 3y(3x + 4y)} \\ \blue{15 {x}^{2} + 20xy - 9xy - 12 {y}^{2} } \\ \pink{= 15 {x}^{2} + 11xy - 12 {y}^{2} }[/tex]

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