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Aleonysh [2.5K]
3 years ago
14

Ella's aquarium holds 55 gallons of water. She is filling the tank and has already put in 22 gallons. Write and solve an inequal

ity to find out how many more gallons she might put in the tank.
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
5 0
Inequality: 22 + x ≤ 50
Answer: x ≤ 18

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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:

  • brainly.com/question/909731
  • brainly.com/question/902892

#LearnwithBrainly

8 0
3 years ago
Which equation could be used to create the graph?
Eva8 [605]

Answer:

C

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (9, 3) ← 2 points on the line

m = \frac{3-0}{9-0} = \frac{3}{9} = \frac{1}{3}, thus

y = \frac{1}{3} x

Or

y = \frac{x}{3} → C

6 0
3 years ago
Read 2 more answers
PLEASE HEELLLLP WILL MARK BRAINLIEST
Mrrafil [7]

Answer:

312km

Step-by-step explanation:

1. Multiply. 4800 x 7% = 3744

2. Divide. 3744 / 12 = 312km sq.

So the area after 12 years is 312 km sq.

6 0
2 years ago
Read 2 more answers
A correlation coefficient (r) is an appropriate measure of the strength of relationship between two numerical variables even whe
masya89 [10]

Answer:

The given statement is false.

Step-by-step explanation:

Correlation

  • Correlation is a technique that help us to find or define a relationship between two variables.
  • It is a measure of linear relationship between two quantities.

Thus, we can say that the given statement is false.

Correlation coefficient does not measure non linear relationship between two variables.

4 0
3 years ago
15. Oscar wants to rent a boat. The rental shop charges and initial fee of $12 plus $8 per hour to rent the boat. Write a equati
lbvjy [14]
C=8h+12
the 8h represents the $8 per hour for renting the boat, and h represents however many hours you rent the boat for.  The +12 is the initial $12 fee.  This is in slope intercept form, just using different variables than y=mx+b
5 0
3 years ago
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