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3 years ago

Which is more? 1 gallon or 8 liters?

Mathematics

2 answers:

vovangra [49]3 years ago

7 0

Answer:

8 liters is more than 1 gallon.

1 liter = 0.264172, then 8 liters=2.11338

Hope I helped :)

stiks02 [169]3 years ago

6 0

Answer:

8 litres is roughly equivalent to 2 gallons, so 8 litres would be a lot more than 1 gallon. Hope this helps! :)

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1(6x - 9) = (4x - 6)

ruslelena [56]

1(6x-9)=(4x-6)

One solution was found :

x = 3/2 = 1.500

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

1*(6*x-9)-((4*x-6))=0

Step by step solution :

Step 1 :

Step 2 :

Pulling out like terms :

2.1 Pull out like factors :

6x - 9 = 3 • (2x - 3)

Equation at the end of step 2 :

3 • (2x - 3) - (4x - 6) = 0

Step 3 :

Equation at the end of step 3 :

2x - 3 = 0

Step 4 :

Solving a Single Variable Equation :

4.1 Solve : 2x-3 = 0

Add 3 to both sides of the equation :

2x = 3

Divide both sides of the equation by 2:

x = 3/2 = 1.500

One solution was found :

x = 3/2 = 1.500

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Answer:

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Step-by-step explanation:

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3 years ago

In △ABC, AB = 13.2m,

luda_lava [24]

Answer:

(i) ∠ABH = 14.5°

(ii) The length of AH = 4.6 m

Step-by-step explanation:

To solve the problem, we will follow the steps below;

(i)Finding ∠ABH

first lets find <HBC

<BHC + <HBC + <BCH = 180° (Sum of interior angle in a polygon)

46° + <HBC + 90 = 180°

<HBC+ 136° = 180°

subtract 136 from both-side of the equation

<HBC+ 136° - 136° = 180° -136°

<HBC = 44°

lets find <ABC

To do that, we need to first find <BAC

Using the sine rule

$\frac{sin A}{a}$ = $\frac{sin C}{c}$

A = ?

a=6.9

C=90

c=13.2

$\frac{sin A}{6.9}$ = $\frac{sin 90}{13.2}$

sin A = 6.9 sin 90 /13.2

sinA = 0.522727

A = sin⁻¹ ( 0.522727)

A ≈ 31.5 °

<BAC = 31.5°

<BAC + <ABC + <BCA = 180° (sum of interior angle of a triangle)

31.5° +<ABC + 90° = 180°

<ABC + 121.5° = 180°

subtract 121.5° from both-side of the equation

<ABC + 121.5° - 121.5° = 180° - 121.5°

<ABC = 58.5°

<ABH = <ABC - <HBC

=58.5° - 44°

=14.5°

∠ABH = 14.5°

(ii) Finding the length of AH

To find length AH, we need to first find ∠AHB

<AHB + <BHC = 180° ( angle on a straight line)

<AHB + 46° = 180°

subtract 46° from both-side of the equation

<AHB + 46°- 46° = 180° - 46°

<AHB = 134°

Using sine rule,

$\frac{sin 134}{13.2}$ = $\frac{sin 14.5}{AH}$

AH = 13.2 sin 14.5 / sin 134

AH≈4.6 m

length AH = 4.6 m

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3 years ago