MATHEMATICS HIGH SCHOOL

Find the length of x

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Law of Sines:

Sin(a)/opposite side=Sin(b)/opposite

Sin(55)/x=sin(90)/59

Sin(55)/(Sin(90)/59)

sin(90)=1

Sin(55)/(1/59)

59Sin(55)=48.33

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A single die is rolled twice. Find the probability of rolling an Odd number the first time and a number greater than 4 the second time.

Answers

The probability of rolling an odd number the first time and a number greater than 4 the second time is 1/6

The sample space of a single die is

$\mathbf{S = \{1,2,3,4,5,6\}}$

So, the total sample is 6

The odd numbers are

$\mathbf{Odd = \{1,3,5\}}$ --- 3 odd numbers.

So, the probability of selecting an odd number is:

$\mathbf{P(Odd) = \frac 36}$

Simplify

$\mathbf{P(Odd) = \frac 12}$

The numbers greater than 4 are

$\mathbf{Greater = \{5,6\}}$ --- 2 numbers greater than 4.

So, the probability of selecting a number greater than 4 is:

$\mathbf{P(Greater) = \frac 26}$

Simplify

$\mathbf{P(Greater) = \frac 13}$

The probability of rolling an odd number the first time and a number greater than 4 the second time is calculated as follows:

$\mathbf{P = P(Odd) * P(Greater)}$

So, we have:

$\mathbf{P = \frac 12 * \frac 13}$

$\mathbf{P = \frac 16}$

Hence, the probability is 1/6

Answers

tryfind the relationships between x and y.
I am sure that it is y=4x because when you multiply 4 to the -2 it becomes -8...
and then you plug in the 32 into the y:
32=4x
then divide 4 from the both sides for the value of x.
x=8

y = -8 when x = -2
y = 32 when x = 8

#110 points
1. Which equation has a solution of 4 for n?
A. -3n = 12
B. 7 - n = 11
C. n - 6 = -2
D. 2.5n =

Answers

Answer:

n = 4 in equation C

Equation C!! (4-6= -2)

Rewrite each expression without absolute value bars |300|

Answers

It would be 300 bc the absolute value bars mean how far the number is from zero

It is simply 300 without the absolute value bars.

Use the substitution method to solve 3x-5y=-8 and x+2y=1

Answers

$\boxed{ \left \{ {{3x-5y=-8} \atop {x+2y=1}} \right.} \n \n x+2y=1\Rightarrow \boxed{x=1-2y} \n------------- \n \boxed{\left \{ {{3x-5y=-8} \atop {x=1-2y}} \right. } \n\n3(1-2y)-5y=-8 \n 3-6y-5y=-8\n\n3-11y=-8\n\n-11y=-8-3 \n \n -11y=-11y \n \n \boxed{y=1} \Rightarrow \boxed{x=-1}$

The sum of 3 consecutive integers is -27. what are the numbers?

Answers

Call x the smallest of the three numbers, then:

x + (x+1) +(x+2) = -27

x + x + 1 + x + 2 = -27

3x+3 =-27
3x = -27 -3
3x = -30
x = -30/3 = -10

The three numbers are: -10, -9 and -8.

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