Answer:
c = 6
Step-by-step explanation:
Step 1: Write equation
2(5c + 2) - 2c = 3(2c + 3) + 7
Step 2: Solve for <em>c</em>
- Distribute: 10c + 4 - 2c = 6c + 9 + 7
- Combine like terms: 8c + 4 = 6c + 16
- Subtract 6c on both sides: 2c + 4 = 16
- Subtract 4 on both sides: 2c = 12
- Divide both sides by 2: c = 6
Given:
Height of the lighthouse = 280 feet
The angle of depression from the top of the lighthouse to a ship = 18°.
To find:
The distance between boat and shore.
Solution:
Draw a diagram by using the given information.
In a right angle triangle,
In triangle ABC,
Using a calculator, we get
Therefore, the boat is 862 feet away from shore.
Answer:
xy miles
Step-by-step explanation:
The two numbers are 30 and 11
<em><u>Solution:</u></em>
Given that we have to separate the number 41 into two parts
Let the second number be "x"
<em><u>Given that first number is eight more than twice the second number</u></em>
first number = eight more than twice the second number
first number = 8 + twice the "x"
first number = 8 + 2x
So we can say first number added with second number ends up in 41
first number + second number = 41
8 + 2x + x = 41
8 + 3x = 41
3x = 41 - 8
3x = 33
x = 11
first number = 8 + 2x = 8 + 2(11) = 8 + 22 = 30
Thus the two numbers are 30 and 11
It’s A because 92 times 60 is 5520 divide that by the conversion of miles to a foot which is 5280 so 5520 divided by 5280 equals 1.045 or 1.05
