10√3 cm.
The radius of an incircle of a hexagon is the same measure as the apothem. find the apothem by taking half of the central angle and create a right triangle perpendicular to the side. The central angle is 60 so the angle opposite the side length will be 30. this creates a 30-60-90 triangle with the ratio x:x√3:2x. half the side opposite 30 is 10, so x=10. the base angle of the side is 60 so it will be x√3. plug in 10 for x to get 10√3 cm.
A snail travels at a rate of 2.58 feet PER MINUTE. After 9 minutes, it will travel 2.58 * 9 feet.
2.58 * 9 = 23.22 feet.
The snail travels 23.22 feet in 9 minutes.
You can see that it travels 2.58 feet per minute. In the next minute, it will travel another 2.58 feet. And so on until the 9th minute passes. This is the same as:
2.58 + 2.58 + 2.58 + 2.58 + 2.58 + 2.58 + 2.58 + 2.58 + <span>2.58 = 9 * 2.58 = 23.22</span>
Complete Question:
Find the attached image for the diagram of the question
A. 3 B √34 C √65 D √41
Answer:
The length of x, is √65
Step-by-step explanation:
To determine the length, x, we are going to apply Pythagoras theorem;
Consider triangle ABC;
BC² = AB² + AC²
5² = 3² + AC²
AC² = 5² - 3²
AC² = 25 - 9
AC² = 16
AC = √16
AC = 4
Now, we can calculate length, x
Consider triangle ACD
AD² = AC² + CD²
x² = 4² + 7²
x² = 16 + 49
x² = 65
x = √65
Answer:
Step-by-step explanation:
Let the required amount is x.
<u>Alcohol content is same at the end:</u>
- x*0.17 + 4*0.2 = (x + 4)*0.19
- 0.17x + 0.8 = 0.19x + 0.72
- 0.19x - 0.17x = 0.8 - 0.72
- 0.02x = 0.08
- x = 0.08/0.02
- x = 4
Answer:
12 x 9 = 108
Step-by-step explanation:
