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3 years ago

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A caterer has 56 liters of punch to use for a upcoming event. The foundation for the punch has the capacity measurements in gall

ons rather than liters. Conversion of liters to gallons is 0.2642. Estimate how many gallons of punch the caterer can fill the fountain with.

1 answer:

BARSIC [14]3 years ago

6 0

Drdrdfdfdfdfdfdfdfdf

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Angl is a square. The equation of line NG is Y= 1/2 X - 6. Find the equation of line LG in slope intercept form given that the c

Irina18 [472]

Answer: y=-2x-9

Step-by-step explanation:

If ANGL is a square, then NG and LG are adjacent sides.

Adjacent sides are perpendicular. [Each angle is 90°]

The equation of line NG is $Y=\dfrac12 X-6$ .

By comparing it to equation in slope intercept form y=mx+c ( where , m= slope , c=y-interecpt)

slope = $\dfrac12$

Let slope of LG be <em>n</em>, then

$n\times \dfrac{1}{2}=-1$ [Product of slopes of two perpendicular line =-1]

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Equation of a line passes through (a,b) and have slope m is given by :-

$(y-b)=m(x-a)$

Equation of LG :

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Step-by-step explanation:

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How to find x and the equation for it

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10|x+8| - 13 = -2|x+8|+11

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xand y are light house. y being 20km due east of x and from a ship due south of x the bearing of y was 055°. what is the distanc

leonid [27]

Answer:

I) |xz| ≈ 28.6 km

II) |yz| ≈ 34.8 km

Step-by-step explanation:

Let's assume that the position of ship due south of x is z (aà pictor representation of the question is attached)

|xy| = 20 km, |xz| = ?, |yz| = ?, θ(y) = 55°

Using Trigonometric ratio - SOHCAHTOA

I) Tan θ = |xz| ÷ |xy| ⇒ Tan 55° = |xz| ÷ 20

|xz| = 20 * Tan 55 = 20 * 1.428

|xz| = 28.56 km

|xz| ≈ <u>28.6 km</u>

<u />

II) Cos θ = |xy| ÷ |yz| ⇒ Cos 55° = 20 ÷ |yz|

|yz| * Cos 55° = 20 ⇒ |yz| = 20 ÷ Cos 55°

|yz| = 20 ÷ 0.574 = 34.84 km

|yz| ≈ <u>34.8 km</u>

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