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3 years ago

Find the measure of C to the nearest degree.

Mathematics

1 answer:

Alisiya [41]3 years ago

3 0

Let the ∠C be : θ

From the figure, We can see that the Side which is opposite to angle θ is measuring 7 units

Also, We can notice that Hypotenuse is 11 units

As we are dealing with opposite and hypotenuse, we can clearly use Sinθ to find out the angle θ

We know that :

$\bigstar \ \ \boxed{\sf{Sin\theta = \dfrac{Opposite \ Side}{Hypotenuse}}}$

$\implies \sf{Sin\theta = \dfrac{7}{11}}$

$\implies \sf{\theta = Sin^{-1}\bigg(\dfrac{7}{11}\bigg)}$

$\implies \sf{\theta = 39.52^{\circ}}$

Answer : The measure of ∠C to the nearest degree is 38°

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Children younger than __8___ years of age must be restrained in an approved child passenger safety seats unless they are at least 4 ft, 9 inches in height.

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2 years ago

Which table represents a function? A 2-column table with 4 rows. The first column is labeled x with entries negative 3, 0, negat

tangare [24]

Answer:

This is a many-to-one function as the value of y = -1 corresponds to two values of x:

$\begin{array}{|c|c|}\cline{1-2} x & y\\\cline{1-2} -3 & -1\\\cline{1-2} 0 & 0\\\cline{1-2} -2 & -1\\\cline{1-2} 8 & 1\\\cline{1-2}\end{array}$

Step-by-step explanation:

Function

A special relationship where each input (x-value) has a single output (y-value).

A function is one-to-one if each value in the range (y-values) corresponds to exactly one value in the domain (x-values).

A function is many-to-one if some values in the range (y-values) correspond to more than one (many) value in the domain (x-values).

This is a many-to-one function as the value of y = -1 corresponds to two values of x:

$\begin{array}{|c|c|}\cline{1-2} x & y\\\cline{1-2} -3 & -1\\\cline{1-2} 0 & 0\\\cline{1-2} -2 & -1\\\cline{1-2} 8 & 1\\\cline{1-2}\end{array}$

This is not a function as the value of x = -5 corresponds to two values of y:

$\begin{array}{|c|c|}\cline{1-2} x & y\\\cline{1-2} -5 & -5\\\cline{1-2} 0 & 0\\\cline{1-2} -5 & 5\\\cline{1-2} 6 & -6\\\cline{1-2}\end{array}$

This is not a function as the value of x = -2 corresponds to two values of y:

$\begin{array}{|c|c|}\cline{1-2} x & y\\\cline{1-2} -4 & 8\\\cline{1-2} -2 & 2\\\cline{1-2} -2 & 4\\\cline{1-2} 0 & 2\\\cline{1-2}\end{array}$

This is not a function as the value of x = -4 corresponds to two values of y:

$\begin{array}{|c|c|}\cline{1-2} x & y\\\cline{1-2} -4 & 2\\\cline{1-2} 3 & 5\\\cline{1-2} 1 & 3\\\cline{1-2} -4 & 0\\\cline{1-2}\end{array}$

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2 years ago

A certain television is advertised as a 21-inch TV (the diagonal length). If the height of the TV is 13 inches, how wide is the

kolbaska11 [484]

Answer:

16.5 inches

Step-by-step explanation:

Use the Pythagorean Theorem

a² + b² = c²

a² + 13² = 21²

a² + 169 = 441

Subtract 169 from both sides

a² = 272

Take the square root of both sides

a = 16.4924225025

Rounded

a = 16.5 inches

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2 years ago

CONDITIONAL PROBABILITY ASSISTANCE

Mars2501 [29]

Consider such events:

A - selected student is freshmen

B - selected student is girl

$A\cap B$ - selected student is freshman is girl

$A|B$ - choosen girl is freshmen.

Use formula $Pr(A|B)=\dfrac{Pr(A\cap B)}{Pr(B)}$ .

From the table you can see that girls that are freshmen are 4 from all 30 people, then $Pr(A\cap B)=\dfrac{4}{30}$ . There are 18 girls, then $Pr(B)=\dfrac{18}{30}$ . Substitute into the formula:

$Pr(A|B)=\dfrac{\frac{4}{30} }{\frac{18}{30} }=\dfrac{4}{18} =\dfrac{2}{9}$ .

Answer: $Pr(A|B)=\dfrac{2}{9}$ .

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3 years ago

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