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
we know that
If is a factor of the function
then
is a root of the function f(x)
therefore
For the value of the function must be zero
Verify
Substitute the value of in the function
therefore
<u>the answer is</u>
Yes, is a factor of the function f(x)
X=20
AD= 23
DC= 23
AC= 46
The median means both sides of the line AC are equal.
Therefore: x+ 3 = 2x-17
and we can solve this for x
Subtract x from both sides
x-x = 2x-x -17
3 = x -17
Add 17 to both sides
3 +17 = x -17+17
20 = x
The length of AD is x + 3, replace x with 20:
20 + 3 = 23
The length of DC is the same as AD (because they’re separated by the median) so DC= 46
AC is the length of AD + DC,
23+23= 46.
AC= 46
By Pythagoras property
a^2 +b^2 = c^2
24^2 + 7^2 = c^2
576 + 49 = c^2
625= c^2
square root 625 = c^2
Therefore c = 25
x = 25
Answer:
0.25
Step-by-step explanation:
If you divide 25 by one hundred you get 25 hundredths as a decimal which is 0.25.