Answer:
Step-by-step explanation:
33/3 = 11
36/3 =13
11 :13
We know that
1 ft--------> is equals to 12 in
the ramp is 12 inches tall----------> 1 ft tall
<span>A ramp measures------------------> 6 ft long
</span>
<span>applying the Pythagorean theorem
</span>c²=a²+b²
where
c-----> 6 ft long
a----> horizontal distance
b-----> 1 ft tall
a²=c²-b²------> a²=6²-1²-----> a²=35------> a=√35------> a=5.92 ft
the answer is
5.92 ft
Answer:
B: 11 minutes.
Step-by-step explanation:
So, we know that the machine prints at a constant rate.
After 3 minutes, the machine prints 108 posters.
So, let’s find the <em>unit rate. </em>We will divide the output over the input. So:

So, the unit rate of the machine is 36 posters per minute.
We can write an equation. If t represent the number of minutes and p represent the amount of posters, then:

Gives the amount of posters p and t minutes.
We want to know how long it will take Jeffrey to make 396 posters.
So, we can substitute 396 for p and solve for t. Hence:

Divide both sides by 36:

Therefore, it will take Jeffrey 11 minutes to make 396 posters.
Answer:
20
Step-by-step explanation:
interior angle + exterior angle = 180°
162° + exterior angle = 180° ( subtract 162° from both sides )
exterior angle = 18°
the sum of the exterior angles of a polygon = 360° , then
number of sides = 360° ÷ 18° = 20
Answer:
The value is
Step-by-step explanation:
Generally the number of employee to survey(sample size) is mathematically represented as
![n = [ \frac{z * \sigma }{E} ]^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%20%5Cfrac%7Bz%20%2A%20%20%5Csigma%20%7D%7BE%7D%20%5D%5E2)
Here E is the margin of error which is given as E = 47
So substituting 1.645 for z and 155 for 
![n = [ \frac{1.645 * 155 }{47} ]^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%20%5Cfrac%7B1.645%20%2A%20%20155%20%7D%7B47%7D%20%5D%5E2)
=>