MATHEMATICS HIGH SCHOOL

A tree 6m high casts a shadow 4m long. What angle do the sun's rays make with the ground?​

Answers

Answer 1
Answer:

Answer:

tan x° = 56.31°

Step-by-step explanation:

6/4= 1.5

hence x° = 56.31

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Perform the indicated operation and write and standard form. -7i(6i-3)

Answers

-7i (6i - 3)

Perform the distributed multiplication to eliminate the parentheses:

-7i (6i) - 7i (-3) = -42i² + 21i

IF i = √-1 , then the expression is equal to (42 + 21i) or 21(2 + i) .
-7i(6i-3)=\n -42\cdot(-1)+21i=\n 42+21i

The solution of the equation is x= .

Answers

Answer:

x=1

Step-by-step explanation:

Step 1:  Cross-Multiply

What cross multiply basically means is that you take both sides of the equation and you multiply my the opposite sides.  So you take the top of the left fraction and multiply it by the bottom of the right fraction.  You then have an equal sign and then have the bottom of the left fraction multiplied by the top of the right fraction.

(2)/(7)=(6x)/(4x+17)

2(4x+17)=7(6x)

Step 2:  Distribute

2(4x+17)=7(6x)

(2*4x)+(2*17)=(7*6x)

8x+34=42x

Step 3:  Subtract 8x from both sides

8x + 34- 8x = 42x - 8x

34=34x

Step 4:  Divide both sides by 34

34/34 = 34x/34

1=x

Answer:  x=1
The answer to your question would be X=1

Find the second derivative for y=(x+2)/(x-3)

Answers

Let's find the first derivative.

Using quotient rule

f(x)=(g(x))/(h(x))

f'(x)=(g'(x)*h(x)-g(x)*h'(x))/(h^2(x))

then:

y=(x+2)/(x-3)
f(x)=y

g(x)=x+2

g'(x)=1

h(x)=x-3

h'(x)=1

Let's replace

f'(x)=(g'(x)*h(x)-g(x)*h'(x))/(h^2(x))

y'=(1*(x-3)-(x+2)*1)/((x-3)^2)

y'=(x-3-x-2)/((x-3)^2)

\boxed{y'=(-5)/((x-3)^2)}

the second derivative is the derivative of our first derivative.

y'=(-5)/((x-3)^2)

We can write this function as

y'=-5*(x-3)^(-2)

now we have to use the Chain rule's

f(u)=-5u^(-2)

and

g(x)=x-3

f[g(x)]=-5*(x-3)^(-2)

then

f'[g(x)]=f'(u)*g'(x)

f'(u)=-5*(-2)*u^(-3)=10*u^(-3)

g'(x)=1

f'[g(x)]=f'(u)*g'(x)

Let's replace

f'[g(x)]=10*u^(-3)*1

Let's change u by (x-3)

f'[g(x)]=10*u^(-3)

f'[g(x)]=10*(x-3)^(-3)

\boxed{\boxed{y''=(10)/((x-3)^(3))}}

Help
I need help can some help me!! I give you

Answers

Answer:

x=6

Step-by-step explanation:

its an equilateral triangle so all sides are the same measure

9=3x-9

18=3x

x=6

9.   What is the least common denominator of 3/4, 4/5, 2/3? 

    A. 20B. 15C. 60D. 12

Answers

When finding the least common denominator you look at the denominator of the fraction which is the number below the line.

To find the least common denominator in this question you would find the common multiple of 4,5,and 3

Which ever common multiple shows up first is your answer

Multiples of 4,5, and 3 :

4   8  12  16  20 24  28  32  36 40 44  48 52  56  60 

5   10  15  20  25  30   35  40 45  50  55  60  65

3  6  9  12  15  18  21  24  27  30  33  36  39  42  45  48  51  54  57  60 


The answer to this problem would be 60


Translate the phrase into an algebraic expression.
3 times b

Answers

Answer:

3b

Step-by-step explanation:

It`s just . . . 3b lol

When numbers and variables multiply, they are put in the form of (integer)(variable). They phrase can only be further simplified if there is a number substitution for b.
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