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3 years ago

6

An equilateral triangle ΔLMQ (see picture to the right) is drawn in the interior of square LMNP so that side is common. Find m∠L

QP.

1 answer:

Alexxandr [17]3 years ago

4 0

Answer:

lqp=75 degrees

Step-by-step explanation:

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Q1. Butternut is a ski resort in Massachusetts. One of their triple chair lifts unloads 576 skiers per hour at the top of the sl

prohojiy [21]

Answer:

11.25minutes

Step-by-step explanation:

From the question we are told that lifts unloads 576 skiers per hour at the top of the slope, this is expressed as;

576skiers = 1hr

To determine the time it will take 108skier, we can write

108skier = x

Divide both expressions

576/108 = 1/x

576x =108

x = 108/576

x = 0.1875hr

Convert to minute

x = 0.1875×60

x = 11.25minutes

Hence it took the ride 11.25minutes

3 0

3 years ago

Approximately how many years would it take for a $10,000 investment, with an 8% interest per annum, to reach $14,800 if the inte

bezimeni [28]

You would do:

t = time in years

14,800 = 10,000(1+0.08/4)^4t

1.48 = 1.02^4t

log_1.02(1.48) / 4 = t

((log 1.48)/ (log 1.02))/4 = t

t ~ 4,949 years

5 0

4 years ago

Oh no! Your bank failed. You had all your life savings in that bank - $55,000. You should:

anyanavicka [17]

Answer:

C

Step-by-step explanation:

no matter what the FDIC protects your money

8 0

4 years ago

Is 0.42 a rational number? Explain how you know.

kvasek [131]

Answer:

Yes, any number that can be written as a fraction is a rational number.

Step-by-step explanation:

7 0

3 years ago

WILL GIVE BRAINLIEST!

Nataly [62]

Answer:

The equation the circle is given by

${\bf 4x}^{\bf 2}+{\bf 4y}^{\bf 2}-{\bf 8x+0y-60}={\bf 0}$

Step-by-step explanation:

The general form of the circle is

$x^2+y^2+Dx+Ey+F=0\hfill (1)$

Given points are (5,0) , (0,4) and (2,4)

Let the points (5,0) , (0,4) and (2,4) be (x_1,y_1) , (x_2,y_2) and (x_3,y_3) respectively

The equation of the circle passes through given points (5,0) , (0,4) and (2,4)

Substituting the point (5,0) in (1)

$(-5)^2+(0)^2+D(5)+E(0)+F=0$

$25-5D+F=0$

$5D-F=25\hfill (2)$

Substituting the point (0,4) in

$(0)^2+(4)^2+D(0)+E(4)+F=0$

$16+4E+F=0$

$4E+F=-16\hfill (3)$

Substituting the point (2,4) in

$(2)^2+(4)^2+D(2)+E(4)+F=0$

$4+16+2D+4E+F=0$

$2D+4E+F=-20\hfill (4)$

By solving the equations (2) ,(3) and(4) we get the values of D,E and F as below

$D=-2$ , $E=0$ and $F=-15$

substituting the values of D,E and F in (1) we get

$x^2+y^2-2x+(0)y-15=0$

Now multiplying the above equation into 4 we get

$4x^2+4y^2-8x+(0)y-60=0$

6 0

3 years ago