Answer:
w = 8
Step-by-step explanation:
Based on the altitude theorem of a right triangle, we have:
w + 4 = √(24*6)
w + 4 = √144
w + 4 = 12
w + 4 - 4 = 12 - 4
w = 8
Answer:
24) x = 9.2
25) x = 30.8
Step-by-step explanation:
Given
See attachment for triangles
Solving (24)
To solve for x, we make use of cosine formula
i.e.
cos(40) = adjacent ÷ hypotenuse
So, we have:
cos(40) = x ÷ 12
Multiply both sides by 12
12 cos(40) = x
12 * 0.7660 = x
x = 9.2
Solving (25)
To solve for x, we make use of sine formula
i.e.
sin(25) = opposite ÷ hypotenuse
So, we have:
sin(25) = 13 ÷ x
Multiply both sides by
x sin(25) = 13
Divide by sin(25)
x = 13 ÷ sin(25)
Using a calculator
x = 30.8
If it’s a half circle, the central angle should be 180 degrees.
Answer:
The sequence is a function as for any value of n we can not get more than one different
value.
Step-by-step explanation:
Tilly starts by running 1 mile in the first week and tripling the number of miles each week.
Now, the number of miles Tilly will run can be modeled by the sequence
, where n is the number of weeks since she began her program.
Therefore, in the second week she runs 3 miles, in the third week she runs 9 miles and so on.
Therefore, the sequence is a function as for any value of n we can not get more than one different
value. (Answer)