Hello!
Answer:
12 cm, 12 cm, 10 cm.
Step-by-step explanation:
Given:
Perimeter, or P = 34 cm
Ratio of sides = 6 : 6 : 5
To find the length of each side, we can use a variable in the ratio to find the perimeter:
34 = 6x + 6x + 5x
Combine like terms:
34 = 17x
Solve for x:
34/17 = 17x/17; x = 2
Plug in this value of "x" into each expression for the side-lengths:
6(2) = 12 cm
6(2) = 12 cm
5(2) = 10 cm
Therefore, the lengths of each side of the triangle are 12 cm, 12 cm, 10 cm.
Hope this helped you! :)
SOH-CAH-TOA
sin Q = <u>Opposite</u> = <u>26</u>
hypotenuse x
sin 54 = <u>26</u>
x
x sin 54 = 26
<u>x sin 54</u> = <u> 26 </u>
sin 54 sin 54
x = <u> 26 </u> = 32.1378 ≈ 32.1 feet
sin 54
The next three terms are: -3, 6, and 15
To get each new term, we simply add 9 to the last term. So we add 9 to -12 to get -3. Then we add 9 to -3 to get 6. Finally we add 9 to 6 to get 15
In other words,
first term = -12
second term = first term+9 = -12+9 = -3
third term = second term + 9 = -3+9 = 6
fourth term = third term + 9 = 6+9 = 15
This process repeats forever though we only need three terms in this case.
So that's why the answer is the three values -3, 6 and 15
Answer:
Step-by-step explanation:
Factorise the denominator of the second fraction
y² - 1 = (y - 1)(y + 1) ← difference of squares
To obtain a common denominator
multiply numerator/ denominator of first fraction by (y + 1)
= 
- 
← subtract numerators leaving the common denominator
= 
= 
= 
← cancel common factor (y - 1) on numerator/denominator
=
1. 4i x -10i = -40ii
ii = i^2 = -1
-40*-1 = 40
2. -6-9 = -15
5i- - 5i = 5i + 5i = 10i
answer = -15 +10i
3. raise both sides to the 3rd, and solve for x. x = -12
4. the equation would be x^2+36 =0
