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max2010maxim [7]
3 years ago
6

Una escalera está apoyada sobre la fachada de un edificio. Si la escalera mide 10 m de longitud y el pie de la escalera está a 5

m de la pared, ¿a qué altura de la pared llega la escalera? Expresa el resultado con radicales extrayendo todos los factores posibles.
Mathematics
1 answer:
mamaluj [8]3 years ago
8 0

Answer:

8.66 meters

Step-by-step explanation:

Assuming that the building is completely straight, a right angle is formed and therefore a right triangle.

Thanks to this we can calculate the height at which the ladder reaches the wall using the Pythagorean theorem, this height being one of the legs.

We have to:

c ^ 2 = a ^ 2 + b ^ 2

c = 10

a = 5

replacing

b ^ 2 = 10 ^ 2 - 5 ^ 2

b ^ 2 = 75

b = 8.66

that is to say that the height at which the ladder reaches the wall is 8.66 meters

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Select the correct answer from each drop-down menu.
Illusion [34]

Answer:

-2(57+8) = 14 + 6x

step 1 -2 x 57 and -2 x 8   =

step 2 -114-16 = 14 + 6x

                +16    +16

step 3 -114 = 30 + 6x

           -30    -30

step 4 -144 = 6x

           -144/6  6/6

            x = -24

-2(5x + 8) = 14 + 6x

step 1 -2 x 5x and -2 x 8 =

          -10x - 16 = 14 + 6x

step 2 -6x                -6x

           -16x -16 = 14

step 3         +16   +16

            -16x = 30

step 4  -16/-16  30/-16

            x= -15/8

     

6 0
3 years ago
What is the measure for the following ∠?<br><br> m∠BOX<br><br> 20<br> 40<br> 60
Daniel [21]

Answer:

40

Step-by-step explanation:

3 0
3 years ago
Help! What is the average rate of change of f(x)=x^2+3x+6 over the interval -3 less-than-or-equal-to x less-than-or-equal-to 3?
Makovka662 [10]

Answer:

The average rate of change of the function over the interval is 5.

Step-by-step explanation:

Average rate of change of a function:

The average rate of change of a function f(x) over an interval [a,b] is given by:

A = \frac{f(b)-f(a)}{b-a}

Interval -3 less-than-or-equal-to x less-than-or-equal-to 3

This means that a = -3, b = 3

f(x) = x^2 + 3x + 6

So

f(b) = f(3) = (3)^2 + 3(3) + 6 = 9 + 9 + 6 = 24

f(a) = f(-3) = (-3)^2 + 3(-3) + 6 = 9 - 9 + 6 = 6

Average rate of change

A = \frac{f(b)-f(a)}{b-a} = \frac{24+6}{3-(-3)} = \frac{30}{6} = 5

The average rate of change of the function over the interval is 5.

8 0
3 years ago
Rewrite the equation C = 3.59q + 54,293 as a function of q.
MAVERICK [17]

The equation, when rewritten would be written as:    

q = ( c - 54293 ) / 3.59

<h3>How to rewrite the equation in order to make q the subject</h3>

C = 3.59q + 54,293

We have the equation above, what we would have to do now would be to write the equation in such a way that q would be the subject of the formula.

This would be

3.59q = C -  54,293

Next we have to divide through by the value of q

q = \frac{C - 54293 }{3.59}

Read more on subject of formula here: brainly.com/question/21140562

#SPJ1

7 0
1 year ago
A community is planning to build a rectangular garden.the width of the garden is 27/4 feet and the perimeter of the garden is 37
Crank

We know that the width of the garden is = \frac{27}{4} feet = 6.75 feet

and Perimeter of the garden is = 37.5 feet

Also, we know that for a rectangular space perimeter = 2 * (l + w)

⇒ 37.5 = 2 * (l + 6.75)

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⇒ 24 = 2*l

⇒ l = 12 feet

Now, we need to determine how much square feet of mulch is required, hence we need to calculate the area of the garden

Area = l * w

⇒ Area = 12 * 6.75

⇒ Area = 81 square feet

Hence, they require 81 square feet of mulch

7 0
3 years ago
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