Answer:
The other leg of the triangle is 12.
Step-by-step explanation:
Given:
Hypotenuse of triangle is 13 and a leg(Leg1) is 5.
Let, the other leg of the triangle (Leg2) be
.
Now, putting the formula:

⇒ 
⇒
⇒
⇒
Taking square root both sides
⇒
⇒
.
Therefore, the other leg of the triangle is 12.
The correct option has been marked in the Figure below. A function
from a set
to a set
is a relation that assigns to each element
in the set
exactly one element
in the set
. The set
is the domain (also called the set of inputs) of the function and the set
contains the range (also called the set of outputs).
For our correct option we have:
<u>Set A, Domain:</u>
Inputs: -2, 1, 0, 1, 2, 3
<u>Set B, Range:</u>
Outputs: -1, 0, 1, 2, 3
This is a function because this is a relation that assigns to each element
in the set
exactly one element
in the set
. So, the assignation is as follow:
- -2 (in x) matches to 0 (in y)
- -1 (in x) matches to 3 (in y)
- 0 (in x) matches to 2 (in y)
- 1 (in x) matches to -1 (in y)
- 2 (in x) matches to 0 (in y)
- 3 (in x) matches to 2 (in y)
How about "miles per hour?" I drive "45 miles per hour" on my way into town.
That's a unit rate.
Did you know that 2 pints = 1 quart? You could write this rate / ratio as
2 pints
---------
1 qt
or as
(1/2 qt)
----------- this is a measure of one quantity per unit of another quantity.
1 pint
Answer:
199.8°
Step-by-step explanation:
The circle has radius r = 7 ft.
Now, the circumference of the circle is given by the formula C = 2πr
So,
ft.
Now, 44 ft arc length is equivalent to 360°
Hence, 24.42 ft arc length is equivalent to
degree.
Therefore, the central angle is 199.8° (Answer)
Step-by-step explanation:
<u>Properties used</u>
- logₐ a = 1
- log aᵇ = b log a
- log ab = log a + log b
See the steps below
- - log (4*10⁻³) =
- - (log 4 + log 10⁻³) = (log 4 ≈ 0.6 rounded)
- - (0.6 - 3*log 10) =
- - (0.6 - 3*1) =
- - (0.6 - 3) =
- - (- 2.4) =
- 2.4