Answer:
The distance of flag post from Y is 38.13 m
Step-by-step explanation:
Consider point Y at the intersection of both lines as shown below. Now the point X lies 34 meter from point Y in east direction.
Now flag pole at point X lies at a bearing of N18°W. That is at point X from north, flag post makes an angle of 18° towards west.
Similarly flag pole at point Y lies at a bearing of N40°E. That is at point Y from north, flag post makes an angle of 40° towards east.
Consider ∆ AXY as right angle triangle. Therefore measure of angle FXY is,
Consider ∆ BYX as right angle triangle. Therefore measure of angle FYX is,
Refer attachment 1.
From diagram consider the triangle FYX. To find the third angle that is ∠YFX can be calculated by using angle sum property of triangle.
∠YFX+∠FYX+∠FXY=180°
∠YFX+50°+72°=180°
∠YFX=58°
Refer attachment 2.
Now the distance FY can be calculated using sin rule as follows,
Substituting the values,
Simplifying first two terms,
Cross multiplying,
m
Answer:
The error she made was that she was adding x and 2.75. She should subtract 2.75 from x.
Another mistake that she made was that she sold each for $7 assuming that she would make a profit of 78, but she should see each necklace for $12.5 so that she could make a profit of $78.
Step-by-step explanation:
The error she made was that she was adding x and 2.75.
She should write the equation as 8 (x - 2.75) = 78; as she spends $2.75 to make a necklace.
By using the correct equation: 8 (x - 2.75) = 78
=> 8x - 22 = 78
=> 8x = 78 + 22
=> 8x = 100
=> x = 100/8
=> x = 12.5
Another mistake that she made was that she sold each for $7 assuming that she would make a profit of 78, but she should see each necklace for $12.5 so that she could make a profit of $78.
Hope this helps you.
Correct answer is: distance from D to AB is 6cm
Solution:-
Let us assume E is the altitude drawn from D to AB.
Given that m∠ACB=120° and ABC is isosceles which means
m∠ABC=m∠BAC = 
And AC= BC
Let AC=BC=x
Then from ΔACD , cos(∠ACD) = 
Since DCB is a straight line m∠ACD+m∠ACB =180
m∠ACD = 180-m∠ACB = 60
Hence 
Now let us consider ΔBDE, sin(∠DBE) = 
Answer:
48.6
Step-by-step explanation:
If you use 8.1g of sugar for 1 cake then 6 cakes will be 48.6g of sugar
Just do 8.1*6 and you will get 48.6
<h3>
Answer:</h3>
A) 177.568 thousand.
B) 125.836 thousand.
<h3>
Step-by-step explanation:</h3>
In this question, it is asking you to use the equation to find the population of ladybugs in a certain year.
Equation we're going to use:
We know that the "x" variable represents the number of years since 2010, so that means our starting year is 2010.
Lets solve the question.
Question A:
We need to find the ladybug population is 2024.
2024 is 14 years after 2010, so our "x" variable will be replaced with 14.
Your equation should look like this:
Now, we solve.
You should get 177.568
This means that the population of ladybugs in 2024 is 177.568 thousand.
Question B:
We need to find the ladybug population is 2060.
2060 is 50 years after 2010, so the "x" variable would be replaced with 50.
Your equation should look like this:
Now, we solve.
This means that the population of ladybugs in 2060 would be 125.836 thousand.
<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
