Answer:
seconds
Step-by-step explanation:
When the ball hits the ground, its height will obviously be 0. Therefore, you can set up the equation the following way:

Plugging this into the quadratic equation, you get:

Since the time must be positive, it takes the ball
seconds to hit the ground, or around 3.828. Hope this helps!
Answer:
B: BC ≅EC
Step-by-step explanation:
You know that the two angles starting in C are congruent (they're opposite by vertex C).
Given that the B angle and the E angle are congruent, in order for the two triangles to be congruent by A(ngle)S(ide)A(ngle) you want the side inbetween to be congruent. That is BC and EC. Option B
Answer:
1/7 (option d) of the sensors on the satellite have been upgraded
Step-by-step explanation:
Each unit contains the same number of non-upgraded sensors
number of non-upgraded sensors for each module (nus)
total number of upgraded sensors on the satellite (tus)
satellite is composed of 30 modular units
total number of non-upgraded sensors on the satellite (tnus):
tnus=30*nus
total number of sensors on the satellite (ts):
ts=tnus+tus = 30*nus + tus (I)
The number of non-upgraded sensors on one unit is 1/5 the total number of upgraded sensors on the entire satellite
nus=(1/5)*tus
tus = 5 * nus (II)
Fraction of the sensors on the satellite have been upgraded (FU):
FU = tus/ts
Using I and II
FU= (5* nus)/(30*nus + tus)
FU = (5* nus)/(30*nus + 5 * nus)
FU = (5* nus)/(35*nus)
FU = 1/7
1/7 (option d) of the sensors on the satellite have been upgraded
Answer:
47.84%
Step-by-step explanation:
The easiest method to solve this exercise is to assume that the starting diesel price is 100 reais.
Now we will calculate each increase with our assumption:
1. Initial price plus 10% increase, therefore:
100 + 100 * 0.1 = 110 reais
2. Additional 20% increase in relation to 110 reais:
110 + 110 * 0.2 = 132 reais
3. Additional 12% increase in relation to 132 reais:
132 + 132 * 0.12 = 147.84 reais.
What it means is that the price would be 147.84 reais.
Since our assumption is 100, we can know that there was an increase of almost 47.84% in relation to the initial price that we assumed at the beginning.