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3 years ago

Find the % of change in the cost of gasoline from 1970 with $1.25 and 2010 with $2.75

Mathematics

1 answer:

sashaice [31]3 years ago

3 0

The rate of change is 110 percent.

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Use a special right triangle to write sin 30° as a fraction.

borishaifa [10]

Answer:

1/2

Step-by-step explanation:

So do this, think of an equilateral triangle. A 30-60-90 triangle is just half of an equilateral triangle. If the original side length was x, then the hypotenuse is x, one leg is x/2, and the third, by Pythagorean theorem, is x sqrt3

Sin is opposite over hypotenuse, so we have (x/2)/x = 1/2

6 0

3 years ago

Jayden and Sheridan both tried to find the missing side of the right triangle. A right triangle is shown. One leg is labeled as

stellarik [79]

Answer:

Sheridan's Work is correct

Step-by-step explanation:

we know that

The lengths side of a right triangle must satisfy the Pythagoras Theorem

$c^{2}=a^{2}+b^{2}$

where

a and b are the legs

c is the hypotenuse (the greater side)

In this problem

Let

$a=7\ cm\\c=13\ cm$

substitute

$13^{2}=7^{2}+b^{2}$

Solve for b

$169=49+b^{2}$

$b^{2}=169-49$

$b^{2}=120$

$b=\sqrt{120}\ cm$

$b=10.95\ cm$

we have that

<em>Jayden's Work</em>

$a^{2}+b^{2}=c^{2}$

$a=7\ cm\\b=13\ cm$

substitute and solve for c

$7^{2}+13^{2}=c^{2}$

$49+169=c^{2}$

$218=c^{2}$

$c=\sqrt{218}\ cm$

$c=14.76\ cm$

Jayden's Work is incorrect, because the missing side is not the hypotenuse of the right triangle

<em>Sheridan's Work</em>

$a^{2}+b^{2}=c^{2}$

$a=7\ cm\\c=13\ cm$

substitute

$7^{2}+b^{2}=13^{2}$

Solve for b

$49+b^{2}=169$

$b^{2}=169-49$

$b^{2}=120$

$b=\sqrt{120}\ cm$

$b=10.95\ cm$

therefore

Sheridan's Work is correct

6 0

3 years ago

Read 2 more answers

Find the area of the composite figure.

BARSIC [14]

Answer:

The total area is 132 ft squared

Step-by-step explanation:

I found the area of the triangle by doing bh/2 and got 60. I then found the read of the rectangle bu doing bh and got 72z I then added both areas and got 132 as the total area.

7 0

3 years ago

Read 2 more answers

The sum of two numbers is 52. The greater number is 4 more than the smaller number. Which equation can be used to solve for the

MA_775_DIABLO [31]

Answer:Let's assume x be the smaller number.

Given that, The greater number is 4 more than the smaller number.

So, greater number= x+4.

It's also given that, The sum of two numbers is 52. Which means sum of x and x+4 must be equa to 52. Hence,

x + (x + 4) = 52

Step-by-step explanation:

6 0

2 years ago

Given circle Q with a measure of SR=120° and a radius of 9 feet, as shown below.

Pie

Answer:

18.85 feet

Step-by-step explanation:

Determine the arc length of SR

Arc length = θ/360 × 2πr

r = 9 feet

θ =120°

Arc length = 120/360 × 2 × π × 9

= 18.849555922 feet

Approximately = 18.85 feet

Therefore, the arc length of SR = 18.85 feet

6 0

3 years ago