9514 1404 393
Answer:
(d) 36 feet
Step-by-step explanation:
Use your sense of geometry.
The hypotenuse of a right triangle will never be less than the longest side, and will never be greater than 1.5 times the longest side*.
That means the only reasonable answer choices will be between 30 and 45 feet. There is only one such choice.
The measure is about 36 feet.
__
If you like, you can find a more exact value using the Pythagorean theorem. The distance d of interest is ...
d^2 = 20^2 +30^2 = 1300
d = √1300 = 10√13 ≈ 36.0555 ≈ 36 . . . feet
_____
* The longest hypotenuse will be √2 ≈ 1.4142 times the longest right triangle leg when the two legs are equal length.
Answer:
First one: 9 units
Second one: |2.5|, |-3|, |3.3|, |-4|
Step-by-step explanation:
9 units not negative 9 since you are counting the distance, not to or from, and the second one is the absolute value with each one, to simplify:
|-3|=3
|2.5|=2.5
|-4|=4
|3.3|=3.3
so the answer to the second one is |2.5|, |-3|, |3.3|, |-4|
The first term will be 3 and the sum of the first 9 terms will be 81.
<h3>What is Arithmetic progression?</h3>
The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).
The arithmetic progression has wider use in mathematics for example sum of natural numbers.
Natural number = 1,2,3,4,5,6,7,8...
Given,
Six terms as 10.5
So,
a₆ = 10.5
Common difference(d) = 1.5
The nth term of an AP is given by
= a + (n-1)d
So,
a₆ = a + (6-1)d
10.5 = a + 5(1.5)
a = 3
Now,
The Sum of n terms is given by
S = n/2[2a + (n-1)d]
S = 9/2[6 + 8(1.5)]
S = 81
Hence the first term will be 3 and the sum of 9 terms will be 81.
For more about Arithmetic progression
brainly.com/question/20385181
#SPJ1
Answer:
Down below.
Step-by-step explanation:
Use Pythagorean’s Theron
9 + 16 = c squared
25 = c squared
c = 5
He will receive $480 in interest in the first year.
