Answer:
That is a 45-45-90 triangle next to a 30-60-90 triangle.
So, the height of the left triangle equals 5.
That makes the short side of the 30-60-90 triangle also equal to 5.
In a 30-60-90 triangle, the hypotenuse (or "x") is exactly twice the length of the shortest side.
Therefore, the hypotenuse (or "x") equals 10.
Step-by-step explanation:
Answer:
2.5 square feet
Step-by-step explanation:
The area (A) of a regular hexagon in terms of its side length (s) is ...
A = (3/2)(√3)s²
The side length in feet is ...
(30 cm)×(1 ft)/(30.48 cm) = s = 30/30.48 ft = 125/127 ft
Then the area in square feet is ...
A = (3/2)√3(125/127 ft)² ≈ 2.517 ft²
The approximate area of the hexagon is 2.5 square feet.
_____
<em>Comment on the question</em>
There is nothing in this problem statement that relates the hexagon to the window area.
Speed=distance traveled/time of the travel=78/2=39 mph
First make the denominators of the fractions the same by multiplying.
×
=
Now we just need to add the fractions together
=
9/6 would be the answer, but it can be simplified further, then converted into decimal form.
÷
=
=1.5 yardsYour final answer is 1.5 yards of ribbon are needed.
Answer: The greatest depth of the Southern Ocean is 7.24
Step-by-step explanation:
So, if you add all the greatest depths up, you get 33.23
(33.23 + x)/5 = 8.094
Multiply each side by 5
33.23 + x = 40.47
Subtract 33.23 from each side
x = 7.24
You can check this by adding all the numbers up and dividing them by 5
40.47/5 = 8.094
