Answer: Kate = 40/3 Her father = 50
Step-by-step explanation:
Let Kate's age in the present be K
And Kate's father's age in the present be F
3(K+5) = F+5
6(K-6) = F-6
Rearrange the first equation to get
3K+15 = F+5
3K+10 = F
Substitute that into the second question
6K-36 = 3K+10-6
3K = 40
K = 40/3
So F = 3*40/3+10 = 50
Well 5+2 is 7 and 51/2+21/7 is 57/2
Answer:
$135.63
Step-by-step explanation:
first and foremost, the formula for interest is I = Prt. P is the principal, r is the rate, and t is the time.
so plug in the numbers you have. Always convert the rate to a decimal. The rate would be 0.0.45. Plug in 54.93 for the I and plug in 9 for the time. It would look like this:
54.93 = P(0.045)(9) --> 54.93 = 0.405P --> P = 135.63
Answer:
Step-by-step explanation:
Law of Sines recall Sin(A) /a = Sin(B) /b
does the above make sense?
Next we need to find the angle of A
notice that 16+75=91 :o
so angle A is only 89° ..(b/c all the way around then inside of a triangle is 180) so this is NOT a right triangle but that's okay, b/c law of sines still works fine.
then we want to find length of line AB
and if 89 = A then a = BC
and if 75 = B the b = AB (note that in the given triangle this is angle C, i'm using B , b/c you can see the difference between capital B and lower case b much easier than you can with C, & c :/ )
capitals are the angles while lower case are the length of the sides
then
Sin(89) / 29 = Sin(75) / b
solve the parts that can be put into numbers or solve for 'b' first, that means isolate 'b' all by itself on one side of the equal sign .
0.034477 = 0.965925/ b
b = 0.965925 / 0.034477
b = 28.0165
b = 28.0 ( to the nearest 10th)
we have the parts to plug in now
Sin(75) /
Answer:
There is a group anxiously waiting to start their triathlon. They are in the sand getting ready for the first leg of the race…the swim! They have roped off a rectangle of the beach that is 200 yards long and 10 yards wide. The athletes are packed in trying fighting for the front. If we assume that 10 athletes can occupy 25 square feet, how many triathletes are?
10 yds x 200 yds = 2000 sq yds.
2000 x 9 = 18000 sq ft
18000/25 = 720 sections that are 25 sq ft
720 sections x 10 people/section = 7200 triathletes
Step-by-step explanation:
