See the picture attached to better understand the problem
we know that
in the right triangle ABC
tan 64°=AB/AC------> AB=AC*tan 64°-----> AB=x*tan 64°---> equation 1
in the right triangle ABD
tan 43°=AB/DA----> AB=DA*tan 43°---> AB=(240+x)*tan 43°---> equation 2
equate equation 1 and equation 2
x*tan 64°-=(240+x)*tan 43°---->x*tan 64=240*tan 43+x*tan 43
x*[tan 64-tan 43]=240*tan 43-----> x=240*tan 43/[tan 64-tan 43]
x=200.22 ft
AB=x*tan 64----> AB=200.22*tan 64-----> AB=410.51 ft
the answer is410.51 ft
Answer:
Step-by-step explanation:
<u>The volume of the prism:</u>
<u>If each of the dimensions is doubled, then the volume becomes:</u>
- V₁ = 2l*2w*2h = 8lwh = 8V
The larger prism has 8 times greater volume
By using the trial method we get a total number of trials taken by Charlie to see both sides of both the coins is 4.
<h3>What is probability?</h3>
Probability is the name of the area of mathematics that deals with the examination of random events. The ratio of favorable occurrences to the total number of events is used to calculate an event's probability.
P(E) = F(E)/T (E)P(E)
It stands for the probability that an event will occur.
F(E) = Amount of favorable occurrences
Total number of trials (T(E))
Given that Charlie has 2 fair coins.
If he tosses the pair of coins simultaneously, then the number of samples can be HH, HT, TH, TT.
So to see both sides of both the coins he should toss the coin four times.
To know more about probability, visit:
brainly.com/question/12629667
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Answer:
132 children and 88 adults
Step-by-step explanation:
let x represent the amount of kids and y represent the amount of adults.
since the problem says there was a total of 220 people at the fair an equation can be made
x+y=220
the problem tells that each childrens ticket was 1.5$ and each adult ticket was $4 and that a total of $550 was made that day, we can use the knowledge to make an equation:
1.5x + 4y = 550
using the equations we can make this systems of equations:
1.5x + 4y =550
x + y =220
solve the systems of equations by subracting y on both sides of th bottom equation:
x=220-y
since x is equivant to 220-y it can be substitued for x in the first equation to make this:
1.5(220-y)+4y =550
--solve for y--
y=88 - there were 88 adults
substute 88 for y in the second equation
x+88=220
--solve for x--
x=138 - there were 132 children