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3 years ago

Help Me I don't quite understand this...

Mathematics

1 answer:

Anastasy [175]3 years ago

6 0

Answer:

(x-3)^2 = 4

Step-by-step explanation:

2 (x-3)^2 + 6 = 14

Subtract 6 from each side

2 (x-3)^2 = 8

Divide each side by 2

2/2 (x-3)^2 + 6 = 8/2

(x-3)^2 = 4

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The gas tank in Sharon’s car can hold up to 16.5 gal of gas. About how many liters of gas can the tank hold? 1 L≈1.06 qt

Andreas93 [3]

we know that

a) $1$ gallon is equal to $4$ quarter of gallon

by proportion

$16.5$ gallons is equal to

$\frac{1}{4} =\frac{16.5}{x} \\ x=16.5*4\\ x=66$ quarter of gallon

b) $1$ liter is equal to $1.06$ quarter of gallon

by proportion

$66$ quarter of gallon is equal to

$\frac{1}{1.06} =\frac{x}{66} \\ x=\frac{66}{1.06} \\ x=62.26\\ x=62.3$ liters

therefore

the answer is the option

$62.3L$

4 0

3 years ago

What is the solution to -1.6 > b - (-4.4)

Inessa05 [86]

$\\ \sf\longmapsto -1.6>b-(-4.4)$

$\\ \sf\longmapsto -1.6>b+4.4$

$\\ \sf\longmapsto b$

Option B is correct

5 0

3 years ago

Scientists released 8 rabbits into a new habitat in year 0

wariber [46]

Answer:

A. f(x)= 8(2)^x

Step-by-step explanation:

hope that helped

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3 years ago

5. A tree is broken at a height of 5 m from the ground

tensa zangetsu [6.8K]

The original height of the tree is 60 m

8 0

3 years ago

Read 2 more answers

Can anybody help me please

GREYUIT [131]

Question 7: Option 1: x = 33.5°

Question 8: Option 3: x = 14.0°

Step-by-step explanation:

<u>Question 7:</u>

In the given figure, the value of perpendicular and hypotenuse is given, so we have to use any trigonometric ratio to find the value of angle as the given triangle is a right-angled triangle

So,

Perpendicular = P = 32

Hypotenuse = H = 58

So,

$sin\ x = \frac{P}{H}\\sin\ x = \frac{32}{58}\\sin\ x = 0.5517\\x = sin^{-1} ( 0.5517)\\x =33.48$

Rounding off to nearest tenth

x = 33.5°

<u>Question 8:</u>

In the given figure, the value of Base and Perpendicular is given, we will use tangent trigonometric ratio to find the value of x

So,

Perpendicular = P = 5

Base = B = 20

So,

$tan\ x = \frac{P}{B}\\tan\ x = \frac{5}{20}\\tan\ x = 0.25\\x = tan^{-1} (0.25)\\x = 14.036$

Rounding off to nearest tenth

x = 14.0°

Keywords: Right-angled triangle, trigonometric ratios

Learn more about trigonometric ratios at:

#LearnwithBrainly

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3 years ago