Answer:
Vertex (-2.5,-300)
Step-by-step explanation:
We are given with h(t)=-16 t^2 +80 t. We are asked to find the vertex.
X-coordinate of vertex =
Where 'a' is coefficient of 
term
'b' is coefficient of 't' term.
From given function, a= -16
b=80
So,
x-coordinate of vertex =
=-2.5
y-coordinate of vertex =
Simplify it,
=-100 -200
= -300
So, vertex is at (-2.5, -300).
Answer:
seventh interior angle=∠x=29°
Step-by-step explanation:
sum of interior angle of polygon is equal to 360°
let seventh angle of heptagon is x
∠x+47°+55°+62°+64°+54°+49°=360°
∠x=360°-(47°+55°+62°+64°+54°+49°)
∠x=360°-331°=29°
∠x=29°
seventh interior angle=∠x=29° answer
Answer:
pls mark brainy
Step-by-step explanation:
option (d) is correct.
An equivalent form of the given compound inequality −44 > −2x − 8 ≥ −8 is −44 > −2x − 8 and −2x − 8 ≥ −8
Step-by-step explanation:
Given a compound inequality −44 > −2x − 8 ≥ −8
We have to write an equivalent form of compound inequality.
Compound inequality consists of two inequalities joined together and the solution is the intersection of each inequality.
Compound inequality has two sides the left hand side and right hand side we can solve them by taking each inequality one at a time.
For given compound inequality, −44 > −2x − 8 ≥ −8
we have
Left side of inequality as −44 > −2x − 8
and right side of inequality as −2x − 8 ≥ −8
Thus, option (d) is correct.
Thus, An equivalent form of the given compound inequality −44 > −2x − 8 ≥ −8 is −44 > −2x − 8 and −2x − 8 ≥ −8
Answer:
x = -1
Step-by-step explanation:
Step 1: Write equation
-4(-5x + 2) - 3x - 5 = -30
Step 2: Solve for <em>x</em>
<u>Distribute -4:</u> 20x - 8 - 3x - 5 = -30
<u>Combine like terms:</u> 17x - 13 = -30
<u>Add 13 on both sides:</u> 17x = -17
<u>Divide both sides by 17:</u> x = -1
Answer:
easy peasy
Step-by-step explanation:
u see,
the height of the airplane from the ground is 314m
but with the tower's horizontal plane, it would be
=> altitude of aircraft - height of tower
=> 314 - 70 = 244 m
now in the ABC,
using the ratio of sine,
sin 16 = AB/AC
=> 0.275 = 244/AC
=> AC = 244/ 0.275
=> AC = 887.9...
=> AC = approx. 886 meters
