If the product of the present age of father and his daughter is 430 and the age of father was 4 times as old as his daughter is now, then the present age of father is 43 and the present age of daughter is 10.
Given that the product of the present age of father and his daughter is 430 and the age of father was 4 times as old as his daughter is now.
We are required to find the present age of the father and daughter.
Suppose the present age of the father is x.
Suppose the present age of his daughter is y.
We are given product of present ages be 430.
xy=430----------1
y=430/x
According to question,
x-3=4y
Put the value of y=430/x.
x-3=4*430/x
-3x=1720
x=(3±
)/2*1
x=3±
)/2
x=(3±83)/2
x=(3+83)/2
(Ignoring the negative value because the age cannot be negative as it is coming before the greater number)
x=43
y=430/x
y=430/43
y=10
Hence if the product of the present age of father and his daughter is 430 and the age of father was 4 times as old as his daughter is now, then the present age of father is 43 and the present age of daughter is 10.
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Given:
To find:
The values of x.
Solution:
We have,
(Distributive property)
(Combining like terms)
Add 28 on both sides.
Subtract 10x from both sides.
Divide both sides by 14.
Therefore, the values of x are all real numbers less than 2, i.e., x<2 .
In your calculator, input arcsin(7/12). Make sure that your calculator is in degree mode. The answer is 35.69 degrees.
Answer:
[26, -32]
Step-by-step explanation:
7[-y - 6] + 6y = -10
-7y - 42 + 6y = -10
-y - 42 = -10
+ 42 + 42
____________
-y = 32
-32 = y [Plug this back into both equations to get the x-value of 26]; 26 = x
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Short Answer C
Nice little problem. The catch is that alpha and beta both add up to 90 degrees.
Here's why.
α + β + right angle = 180° All triangles have 180° A right and = 90°.
α + β + 90 = 180 Right angles are 90° Now subtract 90° from both sides
α + β = 180 - 90
α + β = 90
Now all you have to do is put in the x values for alpha and beta and equate them to 90
5x/3 + 20 + 2x/3 + 14 = 90 Collect the light terms.
5x/3 + 2x/3 + 20 + 14 = 90
7x/3 + 34 = 90 Subtract 24 from both sides.
7x/3 = 90 - 34
7x/3 = 56 Multiply by sides by 3
7x = 3*56
7x = 168 Divide by 7
x = 168/7
x = 24
That's not quite the answer
The question wants alpha.
α = 5x / 3 + 20
α = 5*24/3 + 20
α = 120/3 + 20
α = 40 + 20
α = 60
Answer C <<<<<<
