A boat is on the same horizontal level as the foot of a cliff and the angle of depression of the boat 30 degree. If the boat is 120m away from the foot of the Cliff, find the height of the Cliff to 3 significant figures​

Answer:

4........

plz follow me....

9514 1404 393

Answer:

  4)  6x

  5)  2x +3

Step-by-step explanation:

We can work both these problems at once by finding an applicable rule.

  [tex]\text{For $f(x)=ax^n$}\\\\\lim\limits_{h\to 0}\dfrac{f(x+h)-f(x)}{h}=\lim\limits_{h\to 0}\dfrac{a(x+h)^n-ax^n}{h}\\\\=\lim\limits_{h\to 0}\dfrac{ax^n+anx^{n-1}h+O(h^2)-ax^n}{h}=\boxed{anx^{n-1}}[/tex]

where O(h²) is the series of terms involving h² and higher powers. When divided by h, each term has h as a multiplier, so the series sums to zero when h approaches zero. Of course, if n < 2, there are no O(h²) terms in the expansion, so that can be ignored.

This can be referred to as the power rule.

Note that for the quadratic f(x) = ax^2 +bx +c, the limit of the sum is the sum of the limits, so this applies to the terms individually:

  lim[h→0](f(x+h)-f(x))/h = 2ax +b

__

4. The gradient of 3x^2 is 3(2)x^(2-1) = 6x.

5. The gradient of x^2 +3x +1 is 2x +3.

__

If you need to "show work" for these problems individually, use the appropriate values for 'a' and 'n' in the above derivation of the power rule.

Step-by-step explanation:

3y + x = 12

When y = 3, we have 3(3) + x = 12.

=> 9 + x = 12, x = 3.

Answer:

x= 10

Step-by-step explanation:

8x+30=110

8x+30-30=110-30

8x=80

8x/8=80/8

x=10

Answer:

x=10

Step-by-step explanation:

Vertical angles are always congruent, those to angles are vertical angles so they are congruent.

Set them equal to each other:

110=8x+30                 subtract 30 from both sides

80=8x                        divide by 8 on both sides

x=10

Hope this helps :)

[tex] \frac{1}{3} .( \frac{2x - 6}{5} ) = \frac{4}{9} .( \frac{x + 1}{3} )[/tex]

[tex] \frac{2x - 6}{15} = \frac{4x + 4}{27} [/tex]

[tex]54x - 162 = 60x + 60[/tex]

[tex] - 222 = 6x[/tex]

[tex]x = - 37[/tex]

I guess it's right.We learnt this way in Turkey.

Answer:

see explanation

Step-by-step explanation:

Given f(x) then the derivative f'(x) is

f'(x) = lim(h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{4(x+h)^2-2-(4x^2-2)}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{4(x+h)^2-2-4x^2+2}{h}[/tex]

      = lim( h to 0 ) [tex]\frac{4x^2+8hx+4h^2-4x^2}{h}[/tex]

      = lim( h to 0 ) [tex]\frac{8hx+4h^2}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{4h(2x+h)}{h}[/tex] ← cancel h on numerator/ denominator

      = lim ( h to 0 )  4(2x + h) ← let h go to zero

f'(x) = 8x

Answer:

round it to the nearest whole number.

Step-by-step explanation:

Answer:

1. Look at the screenshot below.

2. If a line intersects a parabola at a point, the coordinates of the intersection point must satisfy the equation of the line and the equation of the parabola.

Since the equation of the line is y = c, where c is a constant, the y-coordinate of the intersection point must be c.

It follows then that substituting c for y in the equation for the parabola will result in another true equation: c = −x^2 + 5x.

Subtracting c from both sides of c = −x^2 + 5x and then dividing both sides by −1 yields 0 = x^2 − 5x + c.

The solution to this quadratic equation would give the x-coordinate(s) of the point(s) of intersection.

Since it’s given that the line and parabola intersect at exactly one point, the equation 0 = x^2 − 5x + c has exactly one solution.

A quadratic equation in the form 0 = ax^2 + bx + c has exactly one solution when its discriminant b 2 − 4ac is equal to 0. In the equation 0 = x^2 − 5x + c, a = 1, b = −5, and c = c.

Therefore, (−5)^2 − 4(1)(c ) = 0, or 25 − 4c = 0.

Subtracting 25 from both sides of 25 − 4c = 0 and then dividing both sides by −4 yields c = 25/4 .

Therefore, if the line y = c intersects the parabola defined by y = −x^2 + 5x at exactly one point, then c = 25/4 .

Either 25/4 or 6.25

Answer:

49

Step-by-step explanation:

you are given the hypotenuse of 60 and a leg of 35

a^2 + b^2 = c^2

35^2 + b^2 = 60^2

1225 +b^2 = 3600

-1225            -1225

                     2375

B^2 = square root 2375

48.73 round  up to 49

Answer- x<8

Solutions

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

4*x+6-(38)<0

Step by step solution :

STEP

1

:

Pulling out like terms

1.1 Pull out like factors :

4x - 32 = 4 • (x - 8)

Equation at the end of step

1

:

STEP

2

:

2.1 Divide both sides by 4

Solve Basic Inequality :

2.2 Add 8 to both sides

x < 8

Answer:

yes Whyy?

Step-by-step explanation:

walalang Sagot mo yan HAHAHAHAH

9514 1404 393

Answer:

  1980°

Step-by-step explanation:

The formula for the sum of interior angles of an n-gon is ...

  angle sum = 180°(n -2)

For n=13, the angle sum is ...

  angle sum = 180°(13 -2) = 180°×11

  angle sum = 1980°

Step-by-step explanation:

The selling price is $495.

The first washing machine:

- is marked down by 30​%

$495 - 100%

$x - 100% - 30% = 70%

Find the value of x:

x=$495*0.7=$346.50=$347

The second washing machine:

- is marked down by 20​% with an additional 10​% off

$495 - 100%

$y - 100% - 20% = 80%

Find y:

Y=$495*0.8=$396

Now,

$396 - 100%

$z - 100% - 10% = 90%

Find z:

Z=$396*0.9=$356.40=$356

the sale price of the first washing machine is $347 and the sale price of the second washing machine is $356. The second machine is more expensive.

Answer:

The sale price of the first washing machine is $308

The sale price of the second washing machine is $317

Answer:

C 5,5, sqrt(50)

Step-by-step explanation:

so basically a^2+b^2=c^2

and 5^2+5^2 = 50 so c is sqrt of 50

Answer:

the answer is all three of them because I just got it right on khan academy

Answer:

Step-by-step explanation:

By using regression line calculator,

Equation of the regression line from the data given,

y = -0.38993x + 26.95184

Here, y = weekly hours of sport

x = Time to run

For x = 50 minutes,

y = -0.38993(50) + 26.95184

  = 7.45534

  ≈ 8

Since, slope of the given regression line is negative, correlation will be negative (n).

Answer:

3x=78+x-2

Step-by-step explanation:

Answer: 3x = 78 + x - 2

Step-by-step explanation:

Answer:

Sunni Muslims accept all four leaders, including Abu Bakr and Ali, as the rightful successors of Muhammad. Shi'a Muslims, also called 'the party of Ali', believe that Muhammad chose Ali as his successor rather than having a bloodline successor.

Imamate is the Shi'a belief that all modern imams should be spiritual descendants of the Prophet Muhammad. Shi’a Muslims believe that imams protect the religion and help to guide Muslims along the right path. Today, Shi'a Muslim communities are led by imams, who are seen as having been chosen by God. Shi’a Muslims believe that imams are exemplary individuals who obey all teachings. Shi’a Muslims believe that imams are inspired by God, are without sin and are infallible, which means that they can interpret the teachings of the Qur’an without making any errors.

Today, Shi’a Muslim communities are led by imams, who are seen as having been chosen by God. Imams should be exemplary individuals who obey all teachings.

Origins of Imamate

After the Prophet Muhammad died, the Muslim community had to choose a successor. Abu Bakr, who was Muhammad’s father-in-law and closest friend, became the leader of the Sunni Muslim community.

Sunni Muslims, who make up around 90 per cent of the global Muslim population, agree that the rightful successor to Muhammad was Abu Bakr, Muhammad’s father-in-law. They recognise two further leaders who came after Abu Bakr. They then recognise a fourth leader, Ali (Muhammad’s cousin). Sunni Muslims accept all four leaders, including Abu Bakr and Ali, as the rightful successors of Muhammad.

Shi’a Muslims, also called ‘the party of Ali’, believe that Muhammad chose Ali as his successor rather than having a bloodline successor. After Ali’s death, Shi’a Muslims were led by twelve imams, whom they believe were spiritual successors to the Prophet Muhammad rather than having any family connection to him. This was the beginning of the Imamate. Shi’a Muslims make up around 10 per cent of the global Muslim population.

Hope this helps..!

Step-by-step explanation:

Answer:

(A) Parallelogram is the right answer.

Answer:

I think it is b or d I'm not sure though

Answer:

4 is the greatest common factor of 12

After the arrival of 5 marriages, the total women will be 9.

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is that at a party the number of women was 4 times the number of men after the arrival of 5 marriages the percentage of men at the party became due 6%

Assume that the initial number of men are [x]. Then, the number of women will be y = 4x.

After the arrival of 5 marriages -

y + 5 = 4x + 5

and

x = 6% of y

x = (6/100) x y

x = (3/50)y

So, we can write -

y + 5 = (12/50) + 5

y = 12/50

So -

x = (12/50) x (50/3)

x = 4

After the arrival of 5 marriages, the total women will be -

x + 5 = 9

Therefore, after the arrival of 5 marriages, the total women will be 9.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ5

{Question in english language is -

At a party the number of women was 4 times the number of men after the arrival of 5 marriages the percentage of men at the party became due 6% what is the number of women after the arrival of 5 marriages}

26 people. There will be no ice cream left. 19.5/.75=26 people

Answer: Jasmine will have have 26 guests. No leftovers.

Step-by-step explanation:

If you are having troubles dividing fractions, try converting them into decimals, which is sometimes easier to solve.

ex: 19 1/2=19.5

3/4=.75

Answer:

i think it is the one you c

Step-by-step explanation:

Answer:

14217

Step-by-step explanation:

(7÷3)×6093=

14217