Answer:
13.5
18.1
72.2
12.8
6,2
66.1
49.1
14
31.8
Step-by-step explanation:
In solving this question, remember the annotation SOHCAHTOA
1. We are given the value of the hypotenuse and we are to determine the value of the adjacent side. COS would be used to determine this value
Cos 26 = Adjacent / hypotenuse
cos 26 = x / 15
x / 15 =0.8988
x = 15 x 0.8988 = 13.5
2. We are given the value of the hypotenuse and we are to determine the value of the opposite side. SIN would be used to determine this value
Sin = opposite / hypotenuse
sin 49 = x / 24
0.7547 = x / 24
x = 0.7547 x 24
x = 18.1
3. We are given the value of the opposite side and we are to determine the value of the adjacent side. TAN would be used to determine this value
Tan = opposite / adjacent
tan 14 = 18 /x
18 / 0.2493 = 72.2
4. We are given the value of the adjacent and we are to determine the value of the hypotenuse side. COS would be used to determine this value
cos 67 = opposite / hypotenuse
0.3907 = 5/x
x =5/ 0.3907 = 12.8
to determine the missing angle
7. tan^-1 = opposite / adjacent
8. cos^-1 = adjacent / hypotenuse
9 = sin^-1 = opposite / hyotensue
Answer:
2(4x + 1)(x + 1)
Step-by-step explanation:
Given
8x² + 10x + 2 ← factor out 2 from each term
= 2(4x² + 5x + 1)
To factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 4 × 1 = 4 and sum = + 5
The factors are + 1 and + 4
Use these factors to split the x - term
4x² + x + 4x + 1 ( factor the first/second and third/fourth terms )
= x(4x + 1) + 1 (4x + 1) ← factor out (4x + 1)
= (4x + 1)(x + 1), thus
4x² + 5x + 1 = (4x + 1)(x + 1) and
8x² + 10x + 2 = 2(4x + 1)(x + 1) ← in factored form
Answer:
The answer is: y = 3x - 7
Step-by-step explanation:
Given point: (5, 8).
Slope m = 3
Use the point slope form and solve for y:
y - y1 = m(x - x1)
y - 8 = 3(x - 5)
y - 8 = 3x - 15
y = 3x - 15 + 8
y = 3x - 7
Proof:
f(x) = 3x - 7
f(5) = 3(5) - 7
= 15 - 7 = 8, giving (5, 8)
The common factor of 45 and 6 is 3
The common factor of
m and m^5 is m
Together the GCF is 3m
Answer:
y≥6−x
y≤9− 5/8x
2 popcorn 5 pretzel
Step-by-step explanation:
