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2 years ago

How far up will a 15-foot long ladder reach on a vertical wall if its end is placed 6 feet from

Mathematics

1 answer:

alexandr1967 [171]2 years ago

4 0

Answer:

3) 13.75 ft

Step-by-step explanation:

You have to square the whole equation (15^2 - 6^2) and you’ll get 13.7477 round that and you get answer 3

thats as well as I can explain it, I’m no teacher. :)

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Well I'm having troubles with something I have no idea what it is or how to do it. The problem is x^2 -18x+8=0. I only know how

Lubov Fominskaja [6]

Answer:

$x = \frac{-(-18) -\sqrt{(-18)^2 -4*1*8}}{2} = \frac{18 -2 \sqrt{73}}{2}= 9 -\sqrt{73}$

$x = \frac{-(-18) +\sqrt{(-18)^2 -4*1*8}}{2} = \frac{18 +2 \sqrt{73}}{2}= 9 +\sqrt{73}$

Step-by-step explanation:

We have the following equation:

$x^2 -18 x +8 =0$

We can use the quadratic formula given by:

$x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}$

Where:

$a = 1 , b=-18, c =8$

And replacing we got:

$x = \frac{-(-18) -\sqrt{(-18)^2 -4*1*8}}{2} = \frac{18 -2 \sqrt{73}}{2}= 9 -\sqrt{73}$

$x = \frac{-(-18) +\sqrt{(-18)^2 -4*1*8}}{2} = \frac{18 +2 \sqrt{73}}{2}= 9 +\sqrt{73}$

6 0

2 years ago

a girl wants to count the steps of a moving escalator which is going up. if she is going up on it, she counts 60 steps. if she i

Leto [7]

Let

x--------> the speed of the girl in step

y--------> the speed of the escalator in step

d------> the distance between ground and floor.

we know that

$speed=\frac{distance}{time} \\ \\ time=\frac{distance}{speed}$

when the girl is going up on escalator

$x-y=\frac{d}{60}$ ----> equation $1$

when the girl is going down on escalator

$x+y=\frac{d}{90}$ -------> equation $2$

Adds equation $1$ and equation $2$

$2x=\frac{d}{60} +\frac{d}{90} \\ \\ 2x=\frac{5}{180} d$

$x=\frac{5}{360}d$ --------> equation $3$

Time to climb (in step) with y=0 (escalator standing still)

$x*t=d\\\\ t=\frac{d}{x}$ -----> equation $4$

Substitute equation $3$ in equation $4$

$t=\frac{d}{\frac{5d}{360}} \\ \\ t=\frac{360}{5} \\ \\ t=72 steps$

therefore

the answer is

$72 steps$

5 0

3 years ago

Read 2 more answers

Write 3/2 using a fractional exponent.

Ivenika [448]

4^3/2 or 5^3/2
Anything with 3/2 in the exponent

4 0

2 years ago

The radius of the semicircle in the following composite figure is 8.5 millimeters. What is the area of the semicircle rounded to

padilas [110]

You will find the area of the semicircle by finding the area of the circle with a radius of 8.5 mm and the dividing it by 2.

A = pi x r^2
3.14 x 8.5^2
A = 226.865 square mm
226.865/2
113.43

The approximate area of the semi circle is 113.43 mm².

3 0

3 years ago

If graphed in the plane, would the line y=5x-2 pass through the point (4,15)

yulyashka [42]

Answer:

Step-by-step explanation:

Using substitution, subs in the points given

(15) = 5(4) - 2

15 = 20 - 2

Because the 2 sides are NOT equal the line would not pass through the point

5 0

3 years ago