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laiz [17]
3 years ago
7

The base of a ladder is 25 meters due west of a burning building. If the angle of elevation of the ladder is 51°, how long is th

e ladder (round to the nearest meter)?
Mathematics
1 answer:
Tanzania [10]3 years ago
5 0

Answer: the length of the ladder is 40 meters.

Step-by-step explanation:

The ladder forms a right angle triangle with the wall and the ground.

The length of the ladder represents the hypotenuse of the right angle triangle.

The distance of the base of the ladder due west of the burning building represents the adjacent side of the right angle triangle.

To determine the length of the ladder, h, we would apply the cosine trigonometric ratio. It is expressed as

Cos θ = adjacent side/hypotenuse. Therefore,

Cos 51 = 25/h

h = 25/Cos 51 = 25/0.6293

h = 40 meters to the nearest meter.

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What is the solution to the system of equations? 3x + 10y = -47 5x- 7y = 40<br>Please and thank u
anastassius [24]

Answer:

x=1, y=-5

Step-by-step explanation:

Given equations are:

3x+10y=-47\ Eqn\ 1\\and\\5x-7y=40\ Eqn\ 2

In order to solve the equation

Multiplying Eqn 1 by 5 and eqn 2 by 3 and subtracting them

So,

Eqn 1 becomes

15x+50y=-235

Eqn 2 becomes

15x-21y=120

Subtracting 2 from a

15x+50y - (15x-21y) = -235-120

15x+50y-15x + 21y = -355

71y = -355

y = -355/71

y =-5

Putting y= -5 in eqn 1

3x+10(-5) = -47

3x -50 = -47

3x = -47+50

3x = 3

x = 3/3

x = 1

Hence the solution is:

x=1, y=-5

5 0
3 years ago
Read 2 more answers
At a coffee shop, the first 100 customers'<br> orders were as follows.
iris [78.8K]

Answer:

0.2 i think

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A rectangular prism has dimensions of 3x, 5x, and 6x. Write an expression for the total volume of the prism.
Evgesh-ka [11]
90because u multiple 3x in 5x equal to 15 then multiple 6x in 15x together equal to 90 prism
3 0
3 years ago
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Kiyo bought a pizza for $12.75 and four medium drinks at Paola’s pizza. Define a variable and write an expression to represent t
Travka [436]
Y = total amount of money spent
x = cost of one drink

So our expression is:
4x + 12.75

4x stands for 4 drinks times x price of one drink
The 12.75 is a one time fee for the pizza, since Kiyo isn't buying multiple pizzas.

The problem also asks us to find the total price, so we write an equation:

y = 4x + 12.75
We insert what x is which in this case is $3
y = 4(3) + 12.75
Order of Operations tells us to multiply first:
y = 12 + 12.75
Now add your values:
y = 24.75
Therefore, Kiyo spent a total amount of 24.75 at Paola's pizza.

Let's check our problem just in case:

24.75 = 4x + 12.75
Since we now know what y is equal to, we can plug that into our original equation and check just to verify

We should subtract 12. on both sides of the equation because of inverse operations:

24.75 - 12.75  = 12.75 - 12.75 + 4x
We are left with:

12 = 4x
We divide:
\frac{12}{4}  =  \frac{4x}{4}
Our result is:
3 = x
Which checks out because each drink was in fact, $3 dollars as stated in the word problem. Hope that was thorough enough.


4 0
3 years ago
What is (5,2) and (2,8) in slope intersect form?
yaroslaw [1]

Answer:

-3,6

Step-by-step explanation:

i think this is right

6 0
3 years ago
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