Answer:
4x - 6 = 3x + 8.
Step-by-step explanation:
If the number is x then 4 times is 4x , then - 6 gives us 4x - 6.
Similar reasoning gives us 3x + 8.
The height of the flagpole with an angle of elevation to the top of the pole of 31° is 60.086 feet
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Trigonometric ratio is used to show the relationship between the sides and angles of a triangle.
Let h represent the height of the flagpole, hence:
tan(31) = h/100
h = 60.086 feet
The height of the flagpole with an angle of elevation to the top of the pole of 31° is 60.086 feet
Find out more on equation at: brainly.com/question/2972832
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Hello! So, the sum of the angles of a triangle is 180 degrees. There’s already an angle that is 60 degrees. So, there are 120 degrees left to be found. You set this formula up as 3y = 120. Divide each side by 3 to isolate the y. When you solve that, you should get y = 40.
2y = 80 degrees
y = 40 degrees
See the attached diagram, it has all the information you need.
(a) If the green radii are all 1, then the orange diameters are all 2 + √2, so that the orange radii are (2 + √2)/2 = 1 + √2/2.
This is because we can join the radii of two adjacent green circles to form the sides of a square with side length equal to twice the radius - i.e. the diameter - of the green circles. The diagonal of any square occurs in a ratio to the side length of √2 to 1. Then we get the diameter of an orange circle by summing this diagonal length and two green radii, and hence the radius by dividing this by 2.
(b) We get the blue diameter in the same way. It has length (2 + √2) (1 + √2/2) = 3 + 2√2, so that the blue radius is (3 + 2√2)/2 = 3/2 + √2.
12 mins each
60 divided by 5 equals 12
