Part A) Find BC, the distance from Tower 2 to the plane, to the nearest foot.
in the triangle ACD
sin16=CD/(7600+BD)--------> CD=sin16*(7600+BD)---------> equation 1
in the triangle BCD
sin24=CD/BD-----------> CD=sin24*BD---------------> equation 2
equation 1=equation 2
sin16*(7600+BD)=sin24*BD-----> sin16*7600+sin16*BD=sin24*BD
sin24*BD-sin16*BD=sin16*7600----> BD=[sin16*7600]/[sin24-sin16]
BD=15979 ft
in the triangle BCD
cos24=BD/BC---------> BC=BD/cos24-------> 15979/cos24-------> 17491
BC=17491 ft
the answer part 1) BC is 17491 ft
Part 2) Find CD, the height of the plane from the ground, to the nearest foot.
CD=sin24*BD ( remember equation 2)
BD=15979 ft
CD=sin24*15979 -----------> CD=6499 ft
the answer part 2) CD is 6499 ft
Okay, so here, we know that -10 is the slope, therefore, it is also the constant of proportionality.
'x' is the unknown value, that tells us to multiply by -10.
So, on a graph, we would consider that per unit, it would decrease by -10, since its a negative slope.
Hope I helped, if you have further questions or concerns, feel free to PM me. Thanks! :D
Answer:
180
Step-by-step explanation:
for two angles to be supplementary, their sum must be equal to 180°
Answer:
The number of teenagers in the stratified sample of equal proportion is 30 teenagers
Step-by-step explanation:
Whereby tickets are sold to only adults male and female and teenagers, boys and girls, we have the following groups
Group 1: Female adult
Group 2: Male adult
Group 3: Teenage boys
Group 4: Teenage girls
In stratified sampling, the types of people that visit the zoo (which is the target population) are identified and the appropriate proportion of each of the identified types is determined such that the sample is representative of the population
Where equal number of each group are observed to have visited the zoo, then, the appropriate sample size of the teenager is found as follows;
Number of groups identified = 4
Sample size = 30
Appropriate proportion of each group = 1/4
Number of teenage boys in the sample = 1/4×30 = 15
Number of teenage girls in the sample = 1/4×30 = 15
Total number of teenagers in the sample = 15 + 15 = 30 teenagers.
1 kilogram = 2.205 pounds
5 kg * 2.205 lbs = 11.0231 pounds
Round to pounds = 11
Round to tenths/1 decimal = 11
Round to hundredths/2 decimals = 11.02