Answer:
x = 36.27
Step-by-step explanation:
By using the steps to find sin θ backwards, we can find x, the hypotenuse.
sin θ = 
or side 
(as seen in my example picture).
We already know the value for sin (α), which is 32° because its given. The opposite side (a) is 20 and the hypotenuse side (c) is x which are both also given.
So the equation now looks like:
sin 32° = 
Don't solve for the sin 32 yet! First, we have to isolate the variable.
To get rid of the x in the denominator you have to multiply both sides by x:
( sin 32 ) · x = ( ) · x
( sin 32 ) x = 20
Then, you have to divide both sides by sin 32 to get x by itself:
(( sin 32 ) x ) ÷ ( sin 32 ) = 20 ÷ ( sin 32 )
x = 20 ÷ ( sin 32 )
Lastly, you have to use a calculator to find 20 ÷ ( sin 32 ), and it should give you 36.2695543766.
The question asks you to round to 2 decimal places so:
x = 36.27
Answer:
<h3> No such four numbers</h3>
Step-by-step explanation:
x - the first number
x+1 - the number consecutive to x (secon consecutive)
x+1+1=x+2 - next consecutive number (the third)
x+2+1 = x+3 - the last consecutive number (fourth)
x + x+1 x+2 + x+3 = 180
4x + 6 = 180
-6 -6
4x = 174
÷4 ÷4
x = 43.5
It is not an integer. I means there are not four consecutive integers which gives the sum 180.
Answer:
Equation to be solved: 2+3x=15.5
The solution we want is: 4.5 million
The solution for p is: p=4.5
Step-by-step explanation:
The problem says:
15.5 million is 2 million more than 3 times the population in 1950.
We can write this as an equation like this:
15.5 million = 2 million + 3(x million).
Each term contains the factor of million so if we divide both sides by a million the equation can actually be written as:
15.5 =2 + 3(x)
15.5 =2 + 3x
So the equation we need to solve is:
15.5=2+3x
We want to isolate 3x. To do this we need to subtract 2 on both sides:
15.5=2+3x
-2 -2
-----------------
13.5= 3x
Divide both sides by 3:
13.5/3 = 3x/3
Simplifying both sides gives:
4.5=x
So 4.5 million is the population in 1950's.
<h2><u>
PLEASE MARK BRAINLIEST!</u></h2>
Answer:
I believe the correct answer is...
Step-by-step explanation:
<h3>D) 0.63</h3>
If you need more help, go to these AMAZING websites!
I hope this helps!
- sincerelynini
Step-by-step explanation:
Let Jack's present age be x
Hence, his fathers present age=4x
Jacks age after 5 years= (x+5)
Jacks Fathers age after 5 years= (4x+5)
We know.. that the difference between their ages fives years later is 10.. hence
4x+5-(x+5)=10
4x+5-x-5=10
3x = 10
x= 3.3 years old...
Hence,
Jacks present age = 3.3 years
Fathers present age= 13.2 years...
Hope it helps .. I know that the answer comes in decimals... but the questions' like that..
