Answer:
x ≈ 14.87
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 10² + 11² = 100 + 121 = 221 ( take the square root of both sides )
x =
≈ 14.87 ( to the nearest hundredth )
9514 1404 393
Answer:
16.8°
Step-by-step explanation:
The Law of Cosines can be rearranged to give the angle measure.
angle Q = arccos((p² +r² -q²)/(2pr))
angle Q = arccos((690² +450² -290²)/(2×690×450))
angle Q = arccos(594500/621000) ≈ 16.7985°
The measure of angle Q is about 16.8°.
Answer:
4 = 3x
Step-by-step explanation:
9-5=9x-6x
Combine like terms
4 = 3x
We can solve for x
Divide by 3
4/3 = 3x/3
4/3 =x
Answer:
133.04ft²
Step-by-step explanation:
Area of a circle is:

We are given the diameter. The radius of the given circle is 6. Note that the diameter is twice the radius.
Using 3.14 for pi:

The area is appropriately 133.04ft².
Hope this helps.
Step-by-step explanation:
Number of Combinations
= 25C0 + 25C1 + 25C2 + 25C3 + 25C4 + 25C5
= 1 + 25 + 300 + 2300 + 12650 + 53130
= 68,406.
There are a total of 68,406 combinations.