Answer:
15 m.
Step-by-step explanation:
If the figures are similar then the ratio of their heights is
∛128 / ∛250
= 0.8.
So 0.8 = 12/ h where h is the height of figure 1,
h = 12 / 0.8
= 15 m.
H = V/bl. You just cross multiply
Answer:
See below
Step-by-step explanation:
15)
In the right-angle triangle, once one of the angles is 44º, then, the unknown angle is
.



The angle
of the other triangle plus the angle
of the right-angle triangle is equal to 90º, therefore they are complementary angles.
So,



To find ?, we have



16)
The sum of the internal angles of the triangle with angles 50º and 25º is equal to 180º, therefore, the other angle is

Once the angles are opposite, they are the same. For the triangle with the 36º angle, we have




Answer:
.
Step-by-step explanation:
The direct variation is defined as
where, k is constant of proportionality.
It is given that a direct variation function contains the points (-8,-6) and (12, 9).
Substitute x=-8 and y=-6 in the above equation.
Divide both sides by -8.
The value of constant of proportionality is
. So, the required equation is
At x=12,
It means, the line passing through (12,9). Hence, the equation is correct.
Therefore, the equation of the function is
.
We can first change 85% in the decimal form:
85 % = 0.85
30 x 0.85 = 25.5
30 - 25.5 = 4.5
Or we can do it another way :
30 x ( 1 - 0.85 ) = 30 x 0.15 = 4.5