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Kruka [31]
3 years ago
11

Which set of values could be the sides lengths of a 30-60-90 triangle

Mathematics
1 answer:
Maslowich3 years ago
7 0
Hello,

Let's assume a the hypotenuse

b/a=sin 30°==>b=a/2

c/a=cos 30°==>c=√3 / 2 *a

(√3/2 a, a/2,a) are the sides of the triangle.


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Write 1.96 ...... as a mixed number in simplest form.
BlackZzzverrR [31]
1 24/25

1.96= 196/100
196/100= 49/25

49-25= 24

1 24/25
3 0
3 years ago
Help me please i don't know what to do
astra-53 [7]

Answer:

a. a = 1, b = -5, c = -14

b. a = 1, b = -6, c = 9

c. a = -1, b = -1, c = -3

d. a = 1, b = 0, c = -1

e. a = 1, b = 0, c = -3

Step-by-step explanation:

a. x-ints at 7 and -2

this means that our quadratic equation must factor to:

(x-7)(x+2) = 0

FOIL:

x^2 + 2x - 7x - 14 = 0

Simplify:

x^2 - 5x - 14 = 0

a = 1, b = -5, c = -14

b. one x-int at 3

this means that the equation will factor to:

(x-3)^2=0

FOIL:

x^2 - 3x - 3x +9 = 0

Simplify:

x^2 - 6x + 9 = 0

a = 1, b = -6, c = 9

c. no x-int and negative y must be less than 0

This means that our vertex must be below the x-axis and our parabola must point down

There are many equations for this, but one could be:

-x^2-x-3=0

a = -1, b = -1, c = -3

d. one positive x-int, one negative x-int

We can use any x-intercepts, so let's just use -1 and 1

The equation will factor to:

(x+1)(x-1)=0

This is a perfect square

FOIL:

x^2-1=0

a = 1, b = 0, c = -1

e. x-int at \sqrt{3} , -\sqrt{3}

our equation will factor to:

(x+\sqrt{3} )(x-\sqrt{3)} =0

This is also a perfect square

FOIL and you will get:

x^2 - 3 = 0

a = 1, b = 0, c = -3

4 0
2 years ago
Taj has a choice of water, iced tea, or lemonade; with lemon or lime twist; served in a small or large glass. how many more choi
shusha [124]

Answer:

Total number of choices with a straw:  12

Total number of choices without a straw: 12

Total number of choices: 24

Step-by-step explanation:

Taj has a choice of:

  • water, iced tea, or lemonade (3 options)
  • with lemon or lime twist (2 options)
  • served in a small or large glass (2 options)

This made a total of 3*2*2: 12 different choices

if the drink can be served with or without a straw, he choices are doubled, making a total of 2*12 = 24

5 0
3 years ago
Please help me, I need an explanation as well please, not just the answer
elena-s [515]
It’s A because if you turn the shape they are the same
7 0
3 years ago
Find the area of the figure. Round to the nearest TENTH.
Bad White [126]

Answer:

Step-by-step explanation:

12 multiplied by 9 is 108. That gives us the square. The triangle base is 9. The height is 7. 7 multiplied by 9 is 63. 63 divided by 2 is 31.5. 108 add 31.5 is 139.5 cm squared.

8 0
2 years ago
Read 2 more answers
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