Answer:
3.897 
Step-by-step explanation:
equilateral triangles are also equiangular, meaning the have equal angles.
Triangle sum theory says that angles of a triangle add up to 180.
That means each angle is 60.
A = bh/2
You need the (h). The base of is 3. Perimeter = 9, so each side is 3
Draw a perpendicular line for the height. The line cuts the base in half (1.5)
Using trigonometry you can find the height.
tan 60° = h/1.5
h = height, 1.5 is half of 3, 60° is the base angle.
multiply each side by 1.5
1.5(tan 60°) = h
h=2.598
then substitute h into formula
A= <u>(2.598)(3) </u>
2
A = 3.897 rounded
Answer:
X= 75, Y=30 there you go!
Step-by-step explanation:
Answer:
We know that this triangle is similar because it will have all of the same angles as the first triangle. This is because two parallel lines cut by a transversal will create the same angles. In addition, they share the final angle because we are not changing that angle. Therefore, all 3 are the same, which makes them similar triangles.
Answer:
It takes 6 hours for both to reach an equal paid.
Step-by-step explanation:
You have to form an expressions in terms of x where x determine the number of hours :
Option 1,
$(30 + 9x)
Option 2,
$(14x)
Next, you have to compare it since they want to find out how many hours they work until they reach the same amount :
30 + 9x = 14x
30 = 14x - 9x
30 = 5x
5x = 30
x = 30÷5
x = 6
We know that the pet Guinea gained 8 ounces in one month.
The question asks for the weight gained by Guinea in also one month.
Since both the described situation and the question both represent the same weight gained in the same duration, therefore, the required integer will be 8.
Answer: 8 ounces.
