A temporary ramp that 28 feet long is placed to reach an entrance door that is 8 feet above the ground. What is the angle of depression of the ramp? Round your answer to the nearest tenth

Answer:

12.5

Step-by-step explanation:

25% means the 1/4th part of the whole number and in the case if 50 it's 1/4th part is 12.5

9514 1404 393

Answer:

  x = 22, y = 123

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  (2x +13)° +57° +3x° = 180°

  5x +70 = 180 . . . . . . . . . . . . . collect terms, divde by °

  5x = 110 . . . . . . . . . . . subtract 70

  x = 22 . . . . . . . . divide by 5

__

Angles in a linear pair are supplementary.

  y° + 57° = 180°

  y = 123 . . . . . . . . divide by °, subtract 57

Last year- 8 lbs 3 ounces

Add 2 lbs and 4 ounces

Which is 10 lbs 7 ounces

10 lbs in onces is 160 ounces

Then you add the other 7 ounces so the final answer is 167 ounces

Tyson’s puppy weighs 167 ounces!

Good luck please mark me as braniliest!!!!!!

Answer:

The cafe sold 40 single shot espressos.

Step-by-step explanation:

Answer:

$12

Step-by-step explanation:

Survey research method is used to  do researchers use to systematically collect data from respondents through questionnaires or interviews.

It can be used for descriptive, exploratory, or explanatory research. This method is best suited for studies that have individual people as the unit of analysis. Although other units of analysis, such as groups, organizations or dyads, are also studied using surveys, such studies often use a specific person from each unit as a “key informant” or a “proxy” for that unit, and such surveys may be subject to respondent bias if the informant chosen does not have adequate knowledge or has a biased opinion about the phenomenon of interest. For instance, Chief Executive Officers may not adequately know employee’s perceptions or teamwork in their own companies, and may therefore be the wrong informant for studies of team dynamics or employee self-esteem.

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Each ticket costs $37.5 according to the calculation t = ($175 - $25)/4.

Equation is a mathematical statement that expresses two expressions as equal. It consists of two expressions separated by an equal sign (=). An equation is used to solve for a unknown value by using known values and following the rules of algebra and arithmetic. Equations can be used to solve for a single unknown, multiple unknowns, and even non-numeric values.

Given that the total cost for parking and four tickets to a baseball game is $175.00.

$25 is the parking fee.

4 tickets cost $175 - $25.

Suppose that each ticket costs t.

t =($175 - $25)/4

Each ticket costs $37.5.

The equation follows.Each ticket costs $37.5 according to the calculation t = ($175 - $25)/4.

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Answer:

a

Step-by-step explanation:

the estimate to ur problem is 498

and a is 500

500 being closest to 498.

Answer:

a. 325+175

Step-by-step explanation:

Step-by-step explanation:

Slope 1/2    point    5,1  

  in point slope form would be

    (y-1) = 1/2 (x-5)

Answer:

Step-by-step explanation:

3x  +  5  +  x  -  25  =  180

4x  -  20  =  180

4x  =  200

x  =  50

None of the solutions are appropriate since the result of the equation z + (z+6) will be equal to 2z + 6.

A mathematical expression is the result of combining a number of mathematical symbols with an arithmetic operator, a variable, and a constraint.

In a different sense, expression is highly helpful in identifying the root or end value of a constraint.

for instance, 3x + 5y

The expression restriction is denoted by the symbols = or, >.

Given the phrase,

z + (z+6)

opening the bracket

z + z + 6

⇒ 2z + 6

Hence

"2z + 6 will be the value of the equation z + (z+6)."

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Answer:

1)

a=3

2)

\(\dfrac{1}{27}\)

Step-by-step explanation:

Use the property of exponent, \(a^m\cdot a^n=a^{m+n}\)

\(\left(\dfrac{2}{3}\right)^{-3+8}=\left(\dfrac{2}{3}\right)^{2a-1}\)

If \(a^m=a^n\) then \(m=n\)

\(-3+8=2a-1\\2a=5+1\\a=\frac{6}{2}\\a=3\)

b)

\($\dfrac{6^{4} \times 9^{-2} \times 25}{2^{4} \times 5^{2} \times 3^{3}}$=$\dfrac{(2\times3)^{4} \times 9^{-2} \times 5^2}{2^{4} \times 5^{2} \times 3^{3}}$\\=\dfrac{ 2^4\times 3^4\times 9^{-2} }{2^{4} \times 3^{3}}\\=\dfrac{ 3^4\times 9^{-2} }{3^{3}}\)

Use the property of exponent, \(\dfrac{a^m}{a^n}=a^{m-n}\)

\(=3^{4-3}\times 9^{-2}\\=3\times 9^{-2}\)

Use the property of exponent, \(a^{-n}=\dfrac{1}{a^n}\)

\(=3\times \dfrac{1}{9^2}\\=3\times \dfrac{1}{81}\\= \dfrac{1}{27}\)

Answer: 49

Step-by-step explanation: 7 • 7 = 49 so 49 can be a perfect square! Hope this helps! The others can’t be rational squares because they are all irrational!

After solving the equations, we know that a total of 25 ladies attended the party.

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.

As in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, and others.

So, take dudes as x and ladies as y.

Now, form the required 2 equations as follows:
2x + y = 45 ...(1)

x + y = 35 ...(2)

Work on equation (2):

x + y = 35

x = 35 - y

Now, substitute x = 35 - y in equation (1):

2x + y = 45

2(35-y) + y = 45

70 - 2y + y = 45

-y = -25

y = 25

Since ladies were charged $1 for each ticket, then 25 ladies attended the party.

Therefore, after solving the equations, we know that a total of 25 ladies attended the party.

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Answer:

the product of the decimal equivalents of all discount in the series

Answer:

convergent

Step-by-step explanation:

Given :

Los Angeles and Las Vegas.

Mass of Mars , \(M=6.42\times 10^{23}\ kg\).

Radius of Mars ,

\(R=3397\ km\\\\R = 3.397\times 10^6\ m\)

To Find :

The acceleration of gravity on the surface of Mars.

Solution :

Acceleration due to gravity is given by :

\(g_m = \dfrac{GM_m}{R_m^2}\\\\g_m =\dfrac{(6.67\times 10 ^{-11}\ m^3\ kg^{-1}\ s^{-2})(6.42\times 10^{23}\ kg) }{(3.397\times 10^6\ m)^2}\\\\g_m = 3.71\ m/s^2\)

Therefore, the acceleration of gravity on the surface of Mars is 3.71 m/s².

Hence, this is the required solution.

Answer:

The sum of the outer angles of polygon is twice the sum of the inner angles. (i) How many sides does it have? (ii) What if the sum of outer angles

The denominator is zero (0/0 is undefined), we cannot determine the exact value of f(-3) using this equation.

To solve the given equations, we need to find the value of the function f(x) for specific values of x.

"If f(x) / (x - 2) = x³ + 2x - 4 + 13/(x - 2), what is f(2)?"

To find f(2), we can substitute x = 2 into the equation and solve for f(2).

Plugging in x = 2, we get:

f(2) / (2 - 2) = 2³ + 2(2) - 4 + 13/(2 - 2)

Since the denominator is zero (2 - 2 = 0), the equation is undefined. Therefore, there is no solution for f(2) in this case.

"If f(x) / (x + 3) = 3x² - 4x + 2, what is f(-3)?"

To find f(-3), we can substitute x = -3 into the equation and solve for f(-3).

Plugging in x = -3, we get:

f(-3) / (-3 + 3) = 3(-3)² - 4(-3) + 2

Simplifying, we have:

f(-3) / 0 = 3(9) + 12 + 2

f(-3) / 0 = 27 + 12 + 2

f(-3) / 0 = 41

Additional information or context is needed to solve for f(-3).

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Answer:

Step-by-step explanation:

m= 25 and b= 450

y= 25x+450

I believe proportional

positive slope

please correct me if I am wrong

All 3 angles add up to 180 degrees.

so 40 + 2x + 3x = 180

40 + 5x = 180

5x = 140

x = 28

So angle A = 2x = 2(28) = 56 degrees.

Answer: 56°

Step-by-step explanation:

We know that a triangle's angles add up to 180 degrees. We will create an equation to help us solve for x using this information.

     Given:

           2x + 3x + 40 = 180

     Combine like terms:

           5x + 40 = 180

     Subtract 40 from both sides of the equation:

           5x = 140

     Divide both sides of the equation by 5:

           x = 28

Next, we will substitute this value of x into the expression for ∠A.

     ∠A = 2x = 2(28) = 56°

The relationship that represents a function with a greater rate of change than the function graphed is given as follows:

A. y = 4x - 3.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b.

The slope represents the average rate of change of a linear function.

From the graph, when x increases by one, y decreases by two, hence the slope m is given as follows:

m = -2.

For function A, the function is defined as follows:

y = 4x + 3.

Hence the rate of change is given as follows:

m = 4, which is greater than -2.

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Answer:

  \(c(w)=\begin{cases}5,&\text{for }w\le15\\7,&\text{for }15<w\le45\\9,&\text{for }w>45\end{cases}\)

Step-by-step explanation:

The charge in dollars (c) for walking a dog of weight w pounds can be described by the function shown above. The function has three parts, one for each weight class. Here, the function value is constant within the weight class.

Answer:

16801.2cm²

Step-by-step explanation:

Cone :

SA = πrl

SA = π · 28 ·  45                     90-45 = 45

SA = 3958.406744

Cylinder :

SA = 2 · π · r · ( r+h)

SA = 2 · π · 28 ( 28 +45 )

SA = 2 · π · 28 (73)

SA = 12842.83077

12842.83077 + 3958.406744 =

16801.2cm²

Answer:

What do you mean sin?

Step-by-step explanation:

Answer:

(2,1) yes the rest no

Step-by-step explanation:

u got this

Answer:

(-2, 1) is the only solution

Step-by-step explanation:

all other answers are not a solution.

3x - 2y = -8

6x + 7y = -5

substitute

(-2, 1)

3 * -2 - 2 * 1 = ?

-6 - 2 = -8

and

6 * -2 + 7 * 1 = ?

-12 + 7 = -5

all other subitutions do not make it a proper solution:

substitute

(5, -5)

3 * 5 - 2 * -5 = ?

15 - -10 = 25

25\(\neq\)-8

since the values have to be true for both equations this is not a solution, there is no need to do the second equation.

repeat this with the remaining

your answers are

(-2, 1) - yes

(-4, -2) - no

(7, 3) - no

(5, -5) - no

hope this helps:)