Answer:
h = 16 feet
Step-by-step explanation:
Pythagoras´ theorem establishes, that in a right triangle square of the hypothenuse (c²) is the sum of leg ( b²) plus leg (a²)
Then
c² = a² + b²
where according to the problem statement
(20)² = h² + (12)² ( h is the height of the flagpole )
h² = 400 - 144
h² = 256
h = √ 256
h = 16 feet
Answer:
4cm
Step-by-step explanation:
each cm counts for 10 km and 40÷10=4
C. 24 miles.
Add the 8 miles from the left side of the triangle, plus the 6 miles from the bottom and then use Pythagorean theorem to solve the hypotenuse which would be sqrt( 8^2 + 6^2)= 10. So 8+6+10=24 miles
Answer:
5/8 * 7/2
Step-by-step explanation:
Whenever you divide fractions, you can use the 'keep change flip' method.
You keep 5/8, change the division sign to multiplication, and then flip the second fraction.
1. 5/8 / 7/2 - Keep 5/8
2. 5/8 * 7/2 - Change division sign
3. 5/8 * 2/7 - Flip the second fraction, 7/2 -> 2/7
Answer:
-1/4 if you prefer the answer written as a fraction.
-0.25 is you prefer the answer written as a decimal.
Step-by-step explanation:
Common ratio of a geometric sequence can be found by doing term divided by previous term.
That is you could do:
80/-320
or
-20/80
or
5/-20
If all these ratios are not equal, it isn't a geometric sequence and does not have a common ratio.
Let's see what these reduce to:
80/-320=1/-4 =-1/4 or -0.25
-20/80=-1/4 or -0.25
5/-20=1/-4=-1/4 or -0.25
So the common ratio is -0.25 or yo you can write it as -1/4.