A 12 ft ladder leans against a wall so that the base of the ladder is 5 ft from the wall How high, to the nearest foot, up on the wall will the ladder reach?

Answer:

cosA = [tex]\frac{5}{13}[/tex]

Step-by-step explanation:

cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{5}{13}[/tex]

Answer:

a. one solution

b. infinetly many solutions

c. one solution

d. no solution

Step-by-step explanation:

brainliest plz :)

The solution of equations are one solution, infinitely many solutions, one solution and no solution.

We are given that;

The four equations

Now,

To determine whether an equation has no solution, one solution, or infinitely many solutions, we can try to solve for the variable and see what happens.

Let's apply this method to each equation:

a. 8p + 1 = 4p + 2

4p + 1 = 2

Subtracting 1 from both sides, we get:

4p = 1

p = 1/4

This is a consistent result, so the equation has one solution: p = 1/4.

b. -6p + 7 = 7 - 6p

Adding 6p to both sides, we get:

7 = 7

This is an identity, so the equation has infinitely many solutions. Any value of p will satisfy the equation.

c. p + 9 = 2p - 3

Subtracting p from both sides, we get:

9 = p - 3

Adding 3 to both sides, we get:

12 = p

This is a consistent result, so the equation has one solution: p = 12.

d. 5p + 3 = 5p - 1

Subtracting 5p from both sides, we get:

3 = -1

This is a contradiction, so the equation has no solution.

Therefore, by the equation answer will be one solution, infinitely many solutions, one solution and no solution.

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Answer:

$66

Step-by-step explanation:

Answer: 68.75

Step-by-step explanation:

Answer:

i have made it in above pic hope it helps

Answer:

12

Step-by-step explanation:

Interquartile range (IQR) = third quartile (Q3) - first quartile (Q1)

From the box plot given, the first quartile is located at the beginning of the edge of the rectangular box = 73,

the third quartile is located at the other edge of the rectangular box to your right = 85

Answer:

2x + 3y = -6

Step-by-step explanation:

The equation of the new line will be identical to that of the given line except that the constant term will differ.

Start with the given 2x + 3y = 3 and replace x with 3 and y with -4.  We get:

2(3) + 3(-4) = C, and C = 6 - 12 = -6

The equation of the new line is therefore 2x + 3y = -6

Answer:

The answer to the question provided is:

[tex]y + 1 = - \frac{6}{13} (x + 8)[/tex]

Step-by-step explanation:

❃Incase you forgot what the point-slope formula is ☟

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

❃Incase you also forgot, what the slope formula is ☟

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

➊ First: We are going to be solving for the slope.

[tex]m =  \frac{ - 7 - ( - 1)}{5 - ( - 8)}  =  \frac{ - 6}{ \:  13}  =  - \frac{6}{13} [/tex]

➋Second: Plug in.

[tex]y + 1 = - \frac{6}{13} (x + 8)[/tex]

Answer:

y=5x-8

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

Answer: About 509 seventh-graders attend Parson City Middle School.

Step-by-step explanation:

Total students in the school = 1,340

About 38% of the students are in the seventh grade.

Number of students in the seventh grade = 38% of (Total students in the school)

= 0.38 x (1340)     [38%= 0.38]

= 509.2 ≈ 509

Hence, About 509 seventh-graders attend Parson City Middle School.

Answer:

30 degrees

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

30

Step-by-step explanation:

Answer:

yeah i gotchu

Step-by-step explanation:

A. non-contact

B. poles

C. protons

D. attraction

HopeItHelps you

Answer:

95% confidence interval to estimate the true proportion of evens rolled on a die.

(0.197368 , 0.762632)

Step-by-step explanation:

Explanation:-

Given A fit is rolled 25 times and 12 evens are observed

proportion    [tex]p = \frac{x}{n} = \frac{12}{25} = 0.48[/tex]

               q = 1 - p = 1- 0.48 = 0.52

Level of significance =0.05

[tex]Z_{0.05} = 1.96[/tex]

95% confidence interval to estimate the true proportion of evens rolled on a die.

[tex](p^{-} - Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} } )[/tex]

[tex](0.48 - 1.96 \sqrt{\frac{0.48(1-0.48)}{12} } , 0.48 + 1.96 \sqrt{\frac{0.48(1-0.48)}{12} } )[/tex]

( 0.48 - 1.96 (0.1442 , 0.48 + 1.96(0.1442)

( 0.48 - 0.282632 , 0.48 + 0.282632)

(0.197368 , 0.762632)

Final answer:-

95% confidence interval to estimate the true proportion of evens rolled on a die.

(0.197368 , 0.762632)

Answer: 133.33%

Step-by-step explanation:

Max invested $5,700 into the new business.

After 7 years this came out to be $13,300.

The total return is calculated as:

= [(Ending investment amount - Beginning investment amount) / Beginning investment amount] * 100

= [(13,300 - 5,700) / 5,700] * 100

= 133.33%

9514 1404 393

Answer:

  K(-14 1/3, -34 2/3)

Step-by-step explanation:

The division ratio says ...

  (L -J)/(K -L) = 3/2

  2(L -J) = 3(K -L)

  5L -2J = 3K

  K = (5L -2J)/3

  K = (5(-15, -20) -2(-16, 2))/3 = (-75+32, -100-4)/3 = (-43/3, -104/3)

  K = (-14 1/3, -34 2/3)

Answer:

Summary:

Step-by-step explanation:

We know that the diagonals of a parallelogram bisect each other.

As

The parallelogram PQRS is given, so

RT = TP

Given

plug in RT = x and TP = 5x-28 in the equation RT = TP

RT = TP

x = 5x-28

switch the sides

5x-28 = x

adding 28 in both sides

5x-28+28 = x+28

simplify

5x = x+28

subtract x from both sides

5x-x = x+28-x

4x = 28

divide boh sides by 4

4x ÷ 4 = 28  ÷ 4

simplify

x = 7

Therefore, we conclude that the value of x is: x = 7

Similarly,  

QT = TS

Given

plug in QT = 5y and TS = 2y+12 in the equation QT = TS

QT = TS  

5y = 2y+12

subtract 2y from both sides

5y - 2y = 2y+12-2y

simplify

3y = 12

divide both sides by 3

3y ÷ 3 = 12 ÷ 3

simplify

y = 4

Therefore, we conclude that the value of y is: y = 7

Summary:

Answer:

Step-by-step explanation:

One point can be the y-intercept. We can see that the y-intercept is (0,-3). -3 is the value of y when x = 0. The next point can be when x = 2. If we plug that in the equation, we get the point (2,-6).

Plotting these two points will graph the equation.

The graph is given below.

Some of the coordinates on the graph are (0, -3, (1, -4.5), and (2, -6).

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

y = (-3/2)x - 3

The coordinates from the given equation are:

When x = 0,

y = - 3

(0, -3)

When x = 1,

y = -3/2  - 3 = (-3 - 6)/2 = -9/2 = -4.5

(1, -4.5)

When x = 2,

y = -3 - 3 = -6

(2, -6)

Now,

The graph of the equation is given below.

Thus,

The graph is given below.

Learn more about coordinates here:

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Answer:

18x^4 - 12x^3 + 57x^2 - 28x +35

Step-by-step explanation:

Step-by-step explanation:

(3×2+7)(6×2-4x+5)= -52x +221

Answer:

C.

Step-by-step explanation:

Answer:

[tex]m\angle CBD=35^{\circ}[/tex]

Step-by-step explanation:

Since there are [tex]180^{\circ}[/tex] on each side of a line and [tex]\angle ABC[/tex] is marked as a right angle, [tex]m\angle CBE=180-90=90^{\circ}[/tex].

[tex]m\angle CBE=m\angle DBE+m\angle CBD[/tex], and [tex]m\angle DBE[/tex] is given as [tex]55^{\circ}[/tex].

Therefore, we can plug in our values and solve:

[tex]90=55+m\angle CBD,\\m\angle CBD=\fbox{35^{\circ}$}[/tex].

Answer:

Step-by-step explanation:

5. y=40x

6. y=2.2x

Answer:

side c-10.35 Angle a-50.88 Angle B-94.12

Step-by-step explanation:

I found the answers on a khan academy thing. I just took the quiz and got a 100%

Answer:

$7 per pound

Step-by-step explanation:

28/4