Answer:
Not completely sure but I think 9
Step-by-step explanation:
In order to solve this equation, you would need to first multiply m by 2 to get 2 m. 3/2=1.5; 1.5*2 =3. 3/9 simplifies to 1/3
Then you would want to solve. So, you would need to divide 2 by 1/3 which would give you 9.
surface area (S) of a right rectangular solid is:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
-----
you have:
L = 7
W = a
H = 4
-----
formula becomes:
S = 2*7*a + 2*7*4 + 2*a*4
simplify:
S = 14*a + 56 + 8*a
combine like terms:
S = 22*a + 56
-----
answer is:
S = 22*a + 56 (equation 2)
-----
to prove, substitute any value for a in equation 2:
let a = 15
S = 22*a + 56 (equation 2)
S = 22*15 + 56
S = 330 + 56
S = 386
-----
since a = 15, then W = 15 because W = a
go back to equation 1 and substitute 15 for W:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
-----
you have:
L = 7
W = 15
H = 4
-----
equation 1 becomes:
S = 2*7*15 + 2*7*4 + 2*15*4
perform indicated operations:
S = 210 + 56 + 120
S = 386
-----
surface area is the same using both equations so:
equations are good.
formula for surface area of right rectangle in terms of a is:
S = 22*a + 56
-----
<h2>
Explanation:</h2>
An exponential function is given by the following form:
Here we know two points:
![\bullet \ (0,6) \\ \\ x=0, \ y=6 \\ \\ 6=ab^0 \\ \\ \boxed{a=6} \\ \\\ \\ \bullet \ (3,750) \\ \\ x=3, \ y=750 \\ \\ 750=6b^3 \\ \\ b^3=\frac{750}{6} \\ \\ b=\sqrt[3]{125} \\ \\ \boxed{b=5}](https://tex.z-dn.net/?f=%5Cbullet%20%5C%20%280%2C6%29%20%5C%5C%20%5C%5C%20x%3D0%2C%20%5C%20y%3D6%20%5C%5C%20%5C%5C%206%3Dab%5E0%20%5C%5C%20%5C%5C%20%5Cboxed%7Ba%3D6%7D%20%5C%5C%20%5C%5C%5C%20%5C%5C%20%5Cbullet%20%5C%20%283%2C750%29%20%5C%5C%20%5C%5C%20x%3D3%2C%20%5C%20y%3D750%20%5C%5C%20%5C%5C%20750%3D6b%5E3%20%5C%5C%20%5C%5C%20b%5E3%3D%5Cfrac%7B750%7D%7B6%7D%20%5C%5C%20%5C%5C%20b%3D%5Csqrt%5B3%5D%7B125%7D%20%5C%5C%20%5C%5C%20%5Cboxed%7Bb%3D5%7D)
Finally, our exponential function is:
<h2>Learn more:</h2>
Behavior of functions: brainly.com/question/12891789
#LearnWithBrainly
Answer:
Height of flag pole to the nearest foot is 43 feet
Step-by-step explanation:
In the diagram we have flag pole AB and C is the point on the ground.
It is given that angle of depression is 30°
and the distance of the point C from the base B is 75 feet
so we have
BC= 75 feet
∠C = 30°
AB= h feet
now in right ΔABC
now we plug AB= h , ∠C= 30° and BC =75
( multiply both sides by 75)
Height of flag pole to the nearest foot is
h= 43 feet
