Answer: 
Step-by-step explanation:
Equilateral triangle has equal sides, let the side be 
, then the perimeter is 
Therefore:
To find the altitude , we will apply Pythagoras theorem , that is
Therefore:
take the square root of both sides
Using the percentile concept, it is found that 10 students scored lower than he did.
<h3>What is the meaning of the percentile of a measure?</h3>
When a measure is in the xth percentile of a data-set, it is greater than x% of the measures and lesser than (100 - x)%.
In this problem, he scored on the 20th percentile, that is, higher than 20% of the 50 students. Then:
0.2 x 50 = 10.
10 students scored lower than he did.
More can be learned about percentiles at brainly.com/question/24495213
#SPJ1
Answer:
D
Step-by-step explanation:
Angle 5 is equal to angle 8 because the two angles are an alternate interior angle. We already know that angle 7 and 8 are supplementary because it's adjacent to each other on a straight line. So, since angle 5 and 8 is equal to each other, angle 5 is also supplementary to angle 7.
Answer:
∴35.97 mg caffeine would be left in the system after 5 hours.
Step-by-step explanation:
Given that,
A cup of coffee has approximately 310 mg of caffeine.
Caffeine decrease at a rate 35% per hour.
Exponential Function:
y(t)= Amount caffeine after t hours
= Initial amount of caffeine
r= rate of decrease
t = Time in hour.
Here y(t)=?, = 310 mg, r=35%=0.35, t= 5 hours
=35.97 mg
∴35.97 mg caffeine would be left in the system after 5 hours.
Answer:
-125z³
Step-by-step explanation:
-5 times - 5 = 25 canceling negative
125 times -5 = -125
zXzXz = z to power of 3 =z³
