Answer:
1. is a 30 60 90 triangle so x = 30
pardon my bad handwriting for below
2.
STEP 1: subtract the angle you have from 180
STEP 2: add your x values together, if there is a non x number (such as + 10) balance it out on the other side by adding or subtracting
STEP 3: divide so that x has no coeffecient in front of it
STEP 4: substitute x values with the value you got
STEP 5: verify by adding the angles you got, it'll be correct if it equals 180
Y = a (b^x)
1) x = 0, y = 3500
=> 3500 = a (b^0)
=> 3500 = a (1)
=> a = 3500
2) growth percent = 3.5% => growth rate = 1.035 = b
=> y = 3500 (1.035)^ x
3) year 2020 => x = 2020 - 2000 = 20
4) y = 3500 (1.035)^ 20 = 6964
Answer: 6964.
Answer:
The number of minutes advertisement should use is found.
x ≅ 12 mins
Step-by-step explanation:
(MISSING PART OF THE QUESTION: AVERAGE WAITING TIME = 2.5 MINUTES)
<h3 /><h3>Step 1</h3>
For such problems, we can use probability density function, in which probability is found out by taking integral of a function across an interval.
Probability Density Function is given by:

Consider the second function:

Where Average waiting time = μ = 2.5
The function f(t) becomes

<h3>Step 2</h3>
The manager wants to give free hamburgers to only 1% of her costumers, which means that probability of a costumer getting a free hamburger is 0.01
The probability that a costumer has to wait for more than x minutes is:

which is equal to 0.01
<h3>
Step 3</h3>
Solve the equation for x

Take natural log on both sides

<h3>Results</h3>
The costumer has to wait x = 11.53 mins ≅ 12 mins to get a free hamburger
Answer:
-3/5
Step-by-step explanation:
Answer:
<em>x = 9</em>
Step-by-step explanation:
Vertical angles are congruent, so their measures are equal.
4x + 6 = 7x - 21
Subtract 7x from both sides.
-3x + 6 = -21
Subtract 6 from both sides.
-3x = -27
Divide both sides by -3.
x = 9