Miguel needs to fix a window screen that is 23 feet above the ground. A ladder leans against a building and forms a 75 degree angle with the ground. The angle where the building and ground meet is 90 degrees. The ladder he uses makes a 75° angle with the ground. What is the shortest possible length of the ladder if the top of it is 23 feet off the ground? Round to the nearest whole number. 6 ft 22 ft 24 ft 89 ft

Answer:

(y − 9) (y − 2)

Step-by-step explanation:

Factor  y^2 − 11y + 18 using the AC method.

(y − 9) (y − 2)

The “AC” method or factoring by grouping is a technique used to factor trinomials. A trinomial is a mathematical expression that consists of three terms.

9514 1404 393

Answer:

Step-by-step explanation:

If we assume that the segment marked (2x+1) is a midsegment, then it is half the length of the parallel base:

  2(2x+1) = 8x-2

  4x +2 = 8x -2 . . . . eliminate parentheses

  4 = 4x . . . . . . . . . . add 2-4x to both sides

  1 = x . . . . . . . divide by 4

__

The above assumption makes the two segments marked with z-expressions be the same length:

  3z = z +22

  2z = 22 . . . . . .  subtract z

  z = 11 . . . . . . . . . divide by 2

The values of X and Z are 1 and 11, respectively.

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

[tex] \underline {\underline{ \text{ Solution}}} : [/tex]

From equation ( i ) :

-4x - y = 19

-y = 19 + 4x

-y = - ( -19 - 4x )

y = -4x - 19 ------ Equation ( iii )

Substituting the value of y from equation ( iii ) in equation ( ii ) , we get :

[tex] \tt{x - 2y = - 7 }[/tex]

⇾ [tex] \tt{x - 2( - 4x - 19) = - 7}[/tex]

⇾ [tex] \tt{x + 8x + 38 = - 7}[/tex]

⇾ [tex] \tt{9x = - 7 - 38}[/tex]

⇾ [tex] \tt{9x = - 45}[/tex]

⇾ [tex] \tt{x = \frac{ - 45}{9}} [/tex]

⇾ [tex] \boxed{ \tt{x = - 5}}[/tex]

Substituting the value of x in equation ( i ) , we get :

⇾ [tex] \tt{ - 5 - 2y = - 7}[/tex]

⇾ [tex] \tt{ - 2y = - 7 + 5}[/tex]

⇾ [tex] \tt{ - 2y = - 2}[/tex]

⇾ [tex] \tt{y = \frac{ - 2}{ - 2}} [/tex]

⇾ [tex] \boxed{ \tt{y = 1}}[/tex]

The possible solution of the system is ordered pair ( x , y ) = ( -5 , 1 ) .

[tex] \red{ \boxed{ \boxed { \tt{Our \: final \: answer : \boxed{ \tt{( - 5 \:, 1 \: )}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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Answer:

Y=.5x

Step-by-step explanation:

For every hour you gain half an inch of snow so for every 2 hours you gain one inch of snow. Hope ths helps

Answer:Pierre has $17 left

Step-by-step explanation:

Amount of money before dues = $42

according to the expression 42-d, d represents dues= $25

Amount left = Amount of money before dues - Amount of dues

                  = $42- $25

                  =$17

Pierre has $17 left after he spent $25 on dues.

Answer:

The Y intercept is (0,7)

Step-by-step explanation:

If it is a y intercept, there will be a number in the y coordinate. For example, (x,y) if the point said (7,0) that would be the x intercept. Because it it (0,7) and in the y place that makes it a y intercept. I hope this helped :)

Answer:

m=5

Step-by-step explanation:

1. Convert the logarithm into exponential form using the fact that [tex]log_{a}[/tex](x)=b is equal to x=[tex]a^{b}[/tex] so ... 4m-10=[tex]10^{1}[/tex]

2. Any expression raised to the power of 1 equals itself so ... 4m-10=10

3. Move the constant to the right-hand side and change its sign so ... 4m=10+10

4. Add the numbers so ... 4m=20

5. Divide both sides of the equation by 4 so ... m=5, m>[tex]\frac{5}{2}[/tex]

6. Check if the solution is in the defined range so ... m=5

Answer:

B. 90

Step-by-step explanation:

Because if the building is 60 and the statue is 1.5x the height of the building then it would be 60 x 1.5 = 90

Answer:

The answer is B because 60 x 1.5 = 90

and if you do 90 ÷ 1.5 you will get 60

Answer:

x=3

Step-by-step explanation:

14-x=5x-4

Add the x from the left side to the right

14=6x-4

and the 4 to the left side

16=6x

6x=18

x=3

Answer:

x = 3

Step-by-step explanation:

If we substitute  x for 3 it will give u the following expression:

14 - 3 = 5 x 3 - 4

If we solve both these expressions they will both give us: 11

This will prove the equation correct

Answer:

I suppose that here we have:

"(4, - 2) flipped over the x-axis"

Regardless of that, i will answer this in a kind of general way.

When we have a point (x, y) and we do a reflection over the x-axis (or the line y = 0, is the same) the reflected point will be (x, - y)

If we instead had a reflection over the y-axis (or the line x = 0) the reflected point will be (-x, y)

Then if we have the point (4, -2) and we have a reflection over the x-axis, the sign of the y-component needs to change.

Then the reflected point will be (4, -(-2)) = (4, 2)

Let's assume we have $100 and an interest rate of 7%. For the $100 to quadruple it means that the future value would be $400. Thus, because we are talking about compounding daily we will set us the equation as follows:

100 * (1+1.07)x = 400

Then we will take 400 and divide it by 100 getting:

1.07X = 4

Now we have encountered a problem where we do not know exponent, so we will use logarithm to calculate such and transform our equation to: Log1.07(4)=X

Using our calculator we will find that it takes about 20.4895 days to quadruple the money invested under 7% interest rate compounded daily.

2nd: Using the same $100 but with the rate of 5.5% compounded continuously we will be using A=PERT formula

where:

P (principal) is equal to hypothetical $100

E (e) is a mathematical constant, which is approximately 2.718

R (rate) is the interest rate, in our case it is 5.5%

T (time) is the time required for money to grow

A (amount) is the final amount desired, which is 4 times larger of $100, thus $400

We have the following:

400 = 100 * e0.055t

400/100 = e0.055t

4 = e0.055t

Then we will apply natural log to both sides of the equations and get the following:

ln(4) = ln(e0.055t)

Since e is the base of ln(x) the equation simplifies to:

ln(4) = 0.055t

Using the calculator to find ln(4) we are getting:

1.38629 = 0.055t

Lastly find t

t = 1.38629/0.055

t = 25.20535202

Plug the answers back to the original equation to verify the answers.

1st part of the question answer: t = 20.4895

2nd part of the question answer: t = 25.20535202

Answer:

i don't know what the hangers are for but the calculation is given below

Step-by-step explanation:

40 = 2f + 12

40 - 12 = 2f

28 = 2f

28/2 = f

14 = f

therefore f = 14

If your question is which propperty is used in that opperation

Answer: The commutative property of multiplication

Step-by-step explanation: The comutative property of multiplication says that the order in which elements are multiplied the result is the same.

9514 1404 393

Answer:

  A, B, D  

Step-by-step explanation:

The figure is symmetrical about the horizontal centerline, so triangles, angles, and segments above that line are congruent with corresponding segments below that line. Choices A, B, D are true statements.

__

There is nothing in the figure to indicate that ΔFGK is isosceles, so statement C cannot be considered to be true.

Answer:

3a-27

Step-by-step explanation:

Distribute the 3

3 x a is 3a

3 x 9 is 27

Answer:

x = 29

Step-by-step explanation:

From Tales theorem:      [tex]\dfrac{8x-2}{2x+1}=\dfrac{3z+z+22}{3z}[/tex]

[tex]\dfrac{8x-2}{2x+1}=\dfrac{4z+22}{3z}\\\\(8x-2)(3z)=(2x+1)(4z+22)\qquad\qquad\{divide\ both\ sides\ by\ 2\}\\\\(4x-1)(3z)=(2x+1)(2z+11)\\\\12xz-3z=2x(2z+11)+1(2z+11)\\\\12xz-2x(2z+11)=3z+2z+11\\\\x(12z-4z-22)=5z+11\\\\x(8z-22)=5z+11\qquad\qquad\{divide\ both\ sides\ by\ (8z-22)\}\\\\x=\dfrac{5z+11}{8z-22}[/tex]

[tex]\dfrac{8x-2}{2x+1}=\dfrac{4z+22}{3z}\\\\(8x-2)(3z)=(2x+1)(4z+22)\qquad\qquad\{divide\ both\ sides\ by\ 2\}\\\\(4x-1)(3z)=(2x+1)(2z+11)\\\\(12x-3)(z)=(2x+1)(2z)+(2x+1)(1)\\\\(12x-3)(z)-(4x+2)(z)=(2x+1)\\\\\ [(12x-3)-(4x+2)](z)=(2x+1)\\\\(12x-3-4x-2)(z)=(2x+1)\\\\(8x-5)(z)=(2x+1)\qquad\qquad\{divide\ both\ sides\ by\ (8x-5)\}\\\\z=\dfrac{2x+1}{8x-5}[/tex]

Answer:

hmmmmmm

i believe that the answer is _

because of _

(i helped w/ your other one lol)

Step-by-step explanation:

Answer:

he will pay $133.10

Step-by-step explanation:

Answer:

The answer is not 1 or 0

I think its D. infinitely many

Step-by-step explanation:

Step-by-step explanation:

The formula for the circumference of a circle is 2*pi*radius

Circumference = 2(3.14)(2.1)

= 13.188cm

Answer: ik nothing of basketball sorry

Answer:

11

Step-by-step explanation:

its the most common number

Answer:

12.7, because the absolute value gets rid of the negative integer, and shows it true value which is positive 12.7.

Step-by-step explanation: Have a Happy Thursday :)

Answer: 763.02 in^2

Step-by-step explanation:

For a circle of radius R, we know that:

The area is:

A = pi*R^2

the circumference is:

C = 2*pi*R

where pi = 3.14

We know that the circumference of the bullseye is 18*pi, then the radius of this circle is:

2*pi*R = 18*pi

2*R = 18

R = 18/2 = 9

The radius of the bullseye is 9 inches.

Now, the area of the target that is not part of the bullseye is equal to the difference between the area of a circle of radius 18in (the total target area) and a circle of radius 9in (the bullseye area)

This is:

A = pi*(18in)^2 - pi*(9in)^2 = 3.14*( (18in)^2 - (9in)^2) = 763.02 in^2

Answer:

$12100

Step-by-step explanation:

Step one:

Given data

The given profits are

First week= $15,000

Second week= $9300

Third week = $12,000

Required

The average profit

Step two:

The number of weeks is 3

hence the average is

= 15000+9300+12000/3

=36300/3

=$12100

Answer:

The ruler at store A cost more

Step-by-step explanation:

Ruler A=$0.95 per ruler

Ruler B=$0.92 per ruler

Answer:

-2²   - (-8)  + 1

Step-by-step explanation:

The values given are:

             w = -2 and v = -8

Expression given:

             w² - v + 1

When we substitute, we put a certain value in place of another. In an equation, variables are used as placeholders.

 For this problem:

     w = -2

      v  = -8

So;

            -2²   - (-8)  + 1

Answer:

Given that w=-2 and v=-8

The expression is w²-v+1

Now putting the value of w=-2 and v=+8 in the given expression, we get

(-2)²-(-8)+1

Hence, (-2)²-(-8)+1 is the right answer.