E(t) is the elevation Maria is at at t minutes.
The expression to calculate the elevation is 1200 + 40t.
E(t) = 1200 + 40t
E(15) means the elevation Maria is at at time 15 minutes.
E(15) = 1200 + 40(15)
E(15) = 1200 + 600
E(15) = 1800
E(15) = 1800 means that Maria is at an elevation of 1800 ft after 15 minutes.
Answer:
24.98 units
Step-by-step explanation:
The picture of the question in the attached figure
we have the coordinates
P(1,-6),D(4,3),O(7,-6)
The perimeter of triangle OPD is equal to

the formula to calculate the distance between two points is equal to

step 1
Find the distance OP
we have
O(7,-6),P(1,-6)
substitute in the formula



step 2
Find the distance PD
we have
P(1,-6),D(4,3)
substitute in the formula



step 3
Find the distance OD
we have
O(7,-6),D(4,3)
substitute in the formula



step 4
Find the perimeter


We use trigonometry because we know an angle and a side length. We are looking for one of the sides that isn't the hypotenuse:
As illustrated by the picture I made below:
We know both unknown angles will be 45 degrees, as there are 180 degrees in a triangle, we know the triangle is a right angle triangle (has 90 degrees) so, (180-90)/2 = 45
Using
SOH CAH TOA, short for : SIN- OH COS- AH TAN- OA
We are looking for the one with H, as we know what H is.
I am picking "
SIN- OH", but we could use "
COS- AH"
The formula for this is:
Sin(angle) = O/H
<u /><u>We substitute the angle (45) and the length for H (16)
</u>
Sin(45)= O/16
<- rearrange it
Sin(45)*16= O
<- Solve in the calculator
13.6145 (4 DP)= O
The legs = O
The legs have a length of "13.6145 (4 DP)" each
Answer:
None of the options is correct
Step-by-step explanation:
It is important to know that he expression a < x < b means that x is greater than a and less than b. So, for finding the correct value let's analyse each option.
A. 4 < 50 < 5
50 is greater than 4 but it is not less than 5, so, option A is incorrect.
B. 7 < 50 < 8
50 is greater than 7 but it is not less than 8, so, option B is incorrect.
C. 8 < 50 < 9
50 is greater than 8 but it is not less than 9, so, option C is incorrect.
D. 10 < 50 < 11
50 is greater than 10 but it is not less than 11, so, option D is incorrect.
Thus, none of the options is correct.
V =

r^2h/3
V = 3.14 x 4^2 x 6/3 (remember r is 1/2 of the diameter)
V = 3.14 x 16 x 2
V = 100.5