Area = (side length)^2
Here,
64n^36 = s^2. Take the sqrt of both sides, obtaining 8n^18 = s. This is the principal square root. We use this positive quantity because the measure of side length must be positive.
Answer:
Angle sqr = 119°
Step-by-step explanation:
In the above question, we are given:
angle pqt is (3x+47)°
angle sqr is (6x-25)°
Angle pqt = Angle sat
We solve for x
3x + 47 = 6x - 25
Collect like terms
47 + 25 = 6x - 3x
72 = 3x
x = 72/3
x = 24
We solve for the measure of angle sqr
Angle sqr = (6x - 25)
x = 24
6 × 24 - 25
144 - 25
= 119°
Answer:
1200
Step-by-step explanation:
We can gather from what's given that y=20x
y represents the total number of bottles produced in the given time in seconds, which is x. When x=1, y=20, This means that each second the machine can make 20 soda bottles. Each minute is 60 seconds, so when x=60, y=20*60 =1200 soda bottles.
Answer is below.
<em>(Note to asker: Lack of explanations can get my answer deleted)</em>
<em />
<u><em>Step 1</em></u>
We'll to isolate the variable, but to do that, get rid of the coefficient that multiplies it.
To do that, divide both sides by 22.

<em><u>Step 2.</u></em>
Now we have divided both sides by 22, but we'll need to reduce the fraction
.
We can reduce the fraction by dividing the factors that are in the numerator and denominator.
That being said, 22 appears both in the numerator and denominator.

<u><em>Step 3</em></u>
Now, for
, we'll need to reduce it to the lowest terms. Like in the 2nd step, we'll divide factors that are in the numerator and denominator.
That being said, 2 appears both in the numerator and denominator.
Hence, M = 5/11
Step-by-step explanation:





Note: I used the identity

for the last step.
PS. I love proving trigonometric identities!