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TiliK225 [7]
3 years ago
7

Order the following expressions by their values from least to greatest. b-a a -0.5 a

Mathematics
1 answer:
lesya692 [45]3 years ago
3 1

Answer:

a

a -0.5

b -a

i believe that is the order but i could be wrong

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What is the exact value of tan 30° ? enter your answer, as a simplified fraction, in the box?
attashe74 [19]

In this question , we have to find the value of tan 30  and we need to write the answer in simplified form .

tan x = \frac{sin x}{ cos x}

Substituting the values of sin (30) and cos(30, we will get

tan (30) = \frac{1/2}{ \sqrt{3} /2}

Multiplying both numerator and denominator by 2, we will get

tan(30 )  = \frac{1}{ \sqrt3}

TO simplify it, we need to multiply both numerator and denominator by square root 3.

tan(30) = \frac{ \sqrt 3}{ \sqrt3 * \sqrt 3} = \frac{ \sqrt 3}{3}

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2 years ago
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3 years ago
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Three six-sided fair dice are rolled. The six sides of each die are numbered 1; 2; : : : ; 6. Let A be the event that the first
valkas [14]

Answer:

1.) [A, B, C]

2.) [A', B', C']

3.) [A', B, C] or [A, B', C] or [A, B, C'] or [ A', B', C] or [A', B, C'] or [A, B', C'] or [A', B', C']

4.) A', B', C] or [A', B, C'] or [A, B', C'] or [A', B, C] or [A, B', C] or [A, B, C'] or [A, B, C]

Step-by-step explanation:

If A is the event that the first die shows an even number, then A' is the event that first die DOES NOT show an even number.

If B is the event that the Second die shows and even number, then B' is the event that second die DOES NOT show an even number.

If C is the event that the third die shows an even number, then C' is the event that third die DOES NOT show an even number.

Hence, our possible events are A, A', B, B', C, C'.

For question 1, in the event that all three dice show and even number, the expression of the event = [A, B, C]

For question two, in the event that no die shows an even number, the expression of the event = [A', B', C']

For question 3,In the event that at least one die shows an odd number, the expression of the event = [A', B, C] or [A, B', C] or [A, B, C'] or [ A', B', C] or [A', B, C'] or [A, B', C'] or [A', B', C']

For question 4,in the event that at most two dice show odd numbers, the expression of the event = [A', B', C] or [A', B, C'] or [A, B', C'] or [A', B, C] or [A, B', C] or [A, B, C'] or [A, B, C]

6 0
2 years ago
Help me pleaseeeeeeeeee ​
ahrayia [7]

for 2 points A(xa;ya) and B(xb;yb)

the slope is (yb - ya) / (xb - xa)

here

the slope = 4 = (17-r) / (4-(-1))

(17-r) / 5 = 4

17 - r = 20

r = 17 - 20

r = - 3

point (-1 ; -3)

6 0
1 year ago
What is 48% 0f 60,000000
Tanzania [10]
That'd be : 28.8 . I hope this helps. This is it step by step. 

60/x=100/48
<span>(60/x)*x=(100/48)*x       </span>
<span>60=2.08333333333*x      
</span>(2.08333333333) to get x
<span>60/2.08333333333=x </span>
<span>28.8=x </span>
<span>x=28.8</span>
5 0
2 years ago
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