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2 years ago

Solve the special right triangle to find the missing sides. Leave your answer as a simplified radical

Mathematics

1 answer:

GarryVolchara [31]2 years ago

3 0

Answer:

$\tan(30°) = \frac{12}{r} \\ \frac{1}{ \sqrt{3} } = \frac{12}{r} \\ \boxed{r = 12 \sqrt{3} }$

and,

$\sin(30°) = \frac{12}{t} \\ \frac{1}{2} = \frac{12}{t} \\ \boxed{t = 24}$

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Solve the following inequaltity. (x-8)^2(x+7)>0 What is the solution?

GREYUIT [131]

$(x-8)^2(x+7)>0 \\x\in(-7,8)$

8 0

2 years ago

What is cos(45°)?

Andrej [43]

Answer:

$\rm \dfrac{\sqrt2}{2}$

Step-by-step explanation:

A right angled ∆ is given to us and we need to find out the value of cos 45° ( with rationalized denominator ) . As we know that in a right angle ∆ , the value of cosine is ,

$\rm\implies cos\theta =\dfrac{base}{hypotenuse}$

In the given triangle ,

Value of base = 1
Value of hypotenuse = √2

On substituting the respective values ,

$\rm\implies cos45^\circ =\dfrac{1}{\sqrt2}$

For rationalizing the denominator , multiply numerator and denominator by √2 , we have,

$\rm\implies cos45^\circ=\dfrac{1(\sqrt2)}{(\sqrt2)(\sqrt2)}$

Simplify ,

$\rm\implies \boxed{\pink{\frak{ cos45^\circ=\dfrac{\sqrt2}{2} }}}$

6 0

2 years ago

The list of individuals from which a sample is actually selected is called the sampling frame. Ideally, the sampling frame shoul

Ira Lisetskai [31]

Answer:

Question 1:

2. Households that possess only cellphones.
5. Households without telephones.

As the pollster used the telephone directory, they will get the numbers of listed people in that community. Cellphones are not listed along with households with telephones so these will be underrepresented.

Question 2:

1. Lower income people (cannot afford a phone).
2. people who choose not to list their numbers people who choose not to have phones.

Question 3:

2. Households with unlisted numbers
4. Households with land-line telephones that have moved into the community since the most recent community telephone directory was printed.

Households with unlisted numbers will still be called because the person is using random dialling which means that even if the number is not listed, it can still be called. Households with landlines will most definitely be reachable as well.

8 0

2 years ago

√50, √8, whats the area of the triangle no picture

Bas_tet [7]

Answer:

Area = 10

Step-by-step explanation:

( $\sqrt{50}$ × $\sqrt{8}$ ) ÷ 2 = 10