Answer:
Step-by-step explanation:
You can use Pythagoras Theorem,

∴
Hope that helps!!
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Answer:
(x + 130, y - 55)
Step-by-step explanation:
If the southeast corner of the pole barn is the only reference point, it only requires this one point and not the size of the barn.
Let's set this up first: West/South= Negative x/y, and East/North= Positive x/y.
Currently, the corner is at -50, 25. The corner needs to be moved to 80, -80.
For x: |-50|+80=130
For y: |25|+(-80)=-55
<u>The formula for this is</u> |a|+b=c.
This leaves it with (x <em>+</em> <em>130</em>, y <em>- 55</em>)
Answer: A)Sin(33)= x/14
Step-by-step explanation:
Hi, to answer this question we have to apply the next trigonometric function:
sin α = opposite side / hypotenuse
Where α is the angle, the hypotenuse is the longest side of the triangle (in this case 14), and the opposite side to the angle is x.
Replacing with the values given:
Sin(33)= x/14
Feel free to ask for more if needed or if you did not understand something.
Answer:
√2.236
Step-by-step explanation:
(2,0) (5,-2). 2 - 5 = -3. 0 - -2 = 2. -3 squared = -9. 2 squared = 4. -9 + 4 = -5. Square root of -5 = 2.236, so the distance would be √2.236
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.
Learn more about product at brainly.com/question/10873737
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