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3 years ago

Find an exact solution for √5-1/x = √5/2 Then find the approximate solution to the nearest tenth.

Mathematics

1 answer:

viktelen [127]3 years ago

3 0

Step-by-step explanation:

$\frac{ \sqrt{5 - 1 } }{x} = \frac{ \sqrt{5} }{2} \\ \\ x \sqrt{5 } = 2 \sqrt{5} - 2 \\ x = 2 - \frac{2 \sqrt{5} }{5}$

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Solve for x. 18x−5<−8 or 7x−4≥38

lys-0071 [83]

Answer:

in the first equation: x < -1/6

in the second equation: x≥6

Step-by-step explanation:

just ask!

hope this helps :)

3 0

3 years ago

If you want to buy an item in a store that costs $15 and is on sale for 15% off, then how much would the item actually cost you

scoray [572]

Answer:

It would cost you $12.75.

Step-by-step explanation:

Model an equation, using c as the initial cost variable and x as the final cost, and then solve for x.

$x = \frac{100 - 15}{100} c \\ x = \frac{85}{100} (15) \\ x = \frac{17}{20} (15) \\ x = \frac{17}{4} (3) \\ x = \frac{51}{4} \\ x = 12.75$

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3 years ago

What is the area of a circle with the radius of 16 meters?

Vaselesa [24]

Answer: 804 meters

Step-by-step explanation:

Area of a circle = πr²

Radius = 16m

π(16)² = 804.2477193 meters

8 0

2 years ago

A store is having a clearance sale where merchandise on the sales rack is reduced by 80% from the original price. if a jacket wa

miskamm [114]

First multiply 76 by 80/100
(76 x 80 )/100 = 60.8

Now because the price has to be reduced...
76 - 60.8 = $15.2

Hope this will help.

4 0

3 years ago

A woman standing on a hill sees a flagpole that she knows is 65 ft tall. The angle of depression to the bottom of the pole is 14

Oliga [24]

Answer:

Let the distance between woman and pole be "x".

From diagram,

In ΔOAB,

tan 18 = $\frac{Perpendicular}{Base}$

tan 18 = $\frac{65 -y}{x}$

∴ x = $\frac{65 -y}{tan 18}$ ................ (1)

In ΔOBC

tan 14 = $\frac{Perpendicular}{Base}$

tan 14 = $\frac{y}{x}$

y = x × tan 14 ..............(2)

equating (2) in (1), we get;

x = $\frac{65}{tan 18 + tan 14}$

x = $\frac{65}{0.574}$

∵ tan 18 + tan 14 = 0.574

∴ x = 113.2 ft

i.e. The her distance from the pole is 113.2 ft.

3 0

3 years ago