Why don't you first try to use the cosine law to solve for an angle and then make use of the sin law to solve for the remaining angles.
Cosine law
C^2 = A^2 + B^2 - 2AB(cos C)
Solve for cos C, and then take the inverse of the trig ratio to solve for the angle.
Then set up a proportion like you have done using the sin law and solve for another angle. Knowing the sum of all angles in a triangle add up to 180 degrees, we can easily solve for the remaining angle.
Answer:
$106,714.29
$71,142.86
$71,142.86
Step-by-step explanation:
There's a total of 7 pieces that they invested (3 + 2 + 2 = 7) so you can do 249,000 / 7 to find what each piece was worth.
249000/7 = about 35571.43
(you always have to round money to 2 decimal places)
Then the amount each brother spent would be:
3 * 35571.43 = 106714.29
2 * 35571.43 = 71142.86
2 * 35571.43 = 71142.86
Answer:
Step-by-step explanation:
a₁ = 1
a₂ = 2(1)+2 = 4
a₃ = 2(4)+3 = 11
a₄ = 2(11)+4 = 26
a₅ = 2(26)+5 = 57
a₆ = 2(57)+6 = 120
Answer:
it's 9.947
Step-by-step explanation:
for this we need an equation which contain height in it so we used volume in both so we get height
π2^2h=5*5*5
π4h=125
h=9.947
Answer:
<em>4years</em>
Step-by-step explanation:
Let the present age of Mark be x
Let the present age of Max be y
Five years ago
Mark = x-5
Max = y - 5
If mark was twice as old as Max, then;
x - 5 = 2(y-5)
x-5 = 2y - 10
x-2y = -10+5
x - 2y = -5 ... 1
In three years,
mark = x+3
Max = y+3
Now if Max's age will be 2/3 that of Mark, then;
x+3 = 2/3(y+3)
3(x+3) = 2(y+3)
3x + 9 = 2y+6
3x-2y = -3 .... 2
Solve 1 and 2 simultaneously
x - 2y = -5 ... 1
3x-2y = -3 .... 2
From 1: x = -5 + 2y
Substitute into 2:
3(-5+2y) - 2y = -3
-15 + 6y - 2y = -3
-15 + 4y = -3
4y = -3 + 15
4y = 12
y = 3
Recall thet x = -5+2y
x = -5+2(3)
x = -5 + 6
x = 1
The sum of their ages will be x+y
x+y = 1+3
x+y = 4
<em>Hence the sum of their ages now is 4years</em>
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