What is the equation of the line?

A, b and c are the sides of a right triangle, where side a is across from angle a, side b is across from angle b, and side c is

Vera_Pavlovna [14]

Find missing length :

a² + b² = c²
c² = 19² + 34²
c² = 1517
c = √1517
c = 38.95 units.

Find missing angle A:

$\dfrac{a}{\sin(a)} = \dfrac{c}{\sin(c)}$

$\dfrac{19}{\sin(a)} = \dfrac{38.95}{\sin(90)}$

$\sin(a) = 0.488$

$a = sin^{-1} (0.488)$

$a = 29.2 \textdegree$

Find Missing B:

$\dfrac{b}{\sin(b)} = \dfrac{c}{\sin(c)}$

$\dfrac{34}{\sin(b)} = \dfrac{38.95}{\sin(90)}$

$\sin(b) = 0.873$

$b = sin^{-1}(0.873)$

$b = 60.8 \textdegree$

Answer: Missing length = 38.95 units ; Missing angles = 29.2° and 60.8°

8 0

3 years ago

I need help with this problem. please help Directions: Solve each system by substitution.

artcher [175]

Answer:

(-1,-6)

Step-by-step explanation:

Plug 6x for y into the bottom equation:

2x+3(6x)= -20

2x+18x= -20

20= -20

x= -1

Substitute -1 for x in the equation for y:

y=6(-1)

y=-6

I hope I could help :)

3 0

3 years ago

Read 2 more answers

Choose all true statements:

leva [86]

1 - All real numbers are rational numbers. FALSE
All real numbers are NOT rational numbers. The real numbers are made up of rational numbers and irrational numbers.

2 - Some rational numbers are natural numbers. TRUE
All natural number are rational numbers but not all rational numbers are natural numbers. Thus, some rational numbers are natural numbers.

3 - No real numbers are irrational numbers. FALSE
The real numbers are made up of rational numbers and irrational numbers. Thus, some real numbers are natural numbers.

4 - All whole numbers are integers. TRUE
The whole numbers are the natural numbers plus 0. The integers comprises of the whole numbers plus the negative of the whole numbers.
Thus, all whole numbers are integers.

5 - Some integers are natural numbers. TRUE
The integers comprises of the whole numbers plus the negative of the whole numbers. The whole numbers are the natural numbers plus 0. The natural numbers are the counting numbers, i.e. 1, 2, 3, . . . which are also part of integers.
Thus, some integers are natural numbers.

6 - No rational numbers are integers. FALSE
The rational numbers are made up of the integers and any number that can be expressed as a fraction.
Thus, all integers are rational numbers and some rational numbers are integers.

8 0

3 years ago

Read 2 more answers

(x-4)(3x + 1) Demen respuesta

Sveta_85 [38]

Answer:

3x^2 - 11x - 4

Step-by-step explanation:

( x - 4 ) ( 3x + 1 )

= 3x^2 + x - 12x - 4

= 3x^2 - 11x - 4

Hope this helps :)

6 0

3 years ago

How is adding and subtracting mixed numbers similar to adding and subtracting fractions? How is adding and subtracting mixed num

Mandarinka [93]

Answer:

It is similar because you have to always have the same numerator in adding or subtracting fractions. Adding fractions and subtracting mixed numbers is different because when u have a mixed number you have to simplify it to its lowest terms to make it easy to tell if it's a whole number or mixed.

example: 2 1/2 + 3/2= 4 now u know its a whole number but as a mixed number that would be 8/2

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers