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3 years ago

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

Mathematics

1 answer:

borishaifa [10]3 years ago

6 0

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

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Please help with this question!! I need serious help!!

asambeis [7]

Answer:

<h2>The circumference is multipled by 4.</h2>

Step-by-step explanation:

The formula of an area of a circle"

$A=\pi r^2$

The formula of a circumference of a circle:

$C=2\pi r$

The area multipled by 16:

$16A=16\pi r^2\\\\16A=\pi(4^2r^2)\\\\16A=\pi(4r)^2$

The radius has increased fourfold, therefore:

$C'=2\pi(4r)=4(2\pi r)=4C$

The circumference is multipled by 4.

You can calculate the area and check the circumference:

$r=11.6\ in\\\\A=\pi(11.6)^2=132.56\pi\\\\16A=(16)(134.56\pi)=2152.96\pi\ in^2$

Calculate the radius:

$\pi r^2=2152.96\pi$ <em>divide both sides by π</em>

$r^2=2152.96\to r=\sqrt{2152.96}\\\\r=46.4\ in$

Calculate the circumference of both circles:

$r=11.6\ in\\\\C=2\pi(11.6)=23.2\pi\ in$

$r=46.4\ in\\\\C'=2\pi(46.4)=92.8\pi\ in$

$\dfrac{C'}{C}=\dfrac{92.8\pi}{23.2\pi}=4\to C'=4C$

5 0

3 years ago

What is equivalent to 1 1/2

Marat540 [252]

Answer:

1 1/2 is equal to 1.5.

Step-by-step explanation:

1/2 converted is .5.

A half of 1 is .5 or 1/2.

3 0

3 years ago

What is the volume of the water in the container when it is 2/3-full? Measuring 23 cm by 10 cm by 6 cm

topjm [15]

Answer:

2/3 full = 23 × 10 × 6 × $\frac{2}{3}$

= 920 cm^3

8 0

2 years ago

On the function machine shown below, the function rule is given as a variable expression. When the output is 99, what is the inp

beks73 [17]

Answer: option d.

Step-by-step explanation:

We have the function:

y = f(x) = x^2 - 1

The output is 99 when y = 99, and the input is x.

Then we need to solve:

y = 99 = x^2 - 1

for x.

99 = x^2 - 1

99 + 1 =x^2

100 = x^2

√100 = x

10 = x

The correct option is d, input equals 10.

7 0

2 years ago

Figure one and figure 2 are similar quadrilaterals. Which proportion must be true?

amm1812

Step-by-step explanation:

option C is the correct answer of this question

5 0

3 years ago