First make the denominators of the fractions the same by multiplying.
×
=
Now we just need to add the fractions together
=
9/6 would be the answer, but it can be simplified further, then converted into decimal form.
÷
=
=1.5 yardsYour final answer is 1.5 yards of ribbon are needed.
Answer:
SA = 967.6 cm²
Step-by-step explanation:
Surface Area of cylinder = 
<u><em>Where r = 7 cm, h = 15 cm</em></u>
=> SA = 2(3.14)(7)(15)+2(3.14)(7)²
=> SA = 659.7 + 2(3.14)(49)
=> SA = 659.7 + 307.9
=> SA = 967.6 cm²
Answer:
B. 3x + y = 4
Step-by-step explanation:
y = -3x + 4
Check:
3x + y = 4
<u>-3x -3x</u>
y = -3x + 4
Step-by-step explanation:
cot x / (1 + csc x)
Multiply by conjugate:
cot x / (1 + csc x) × (1 − csc x) / (1 − csc x)
Distribute the denominator:
cot x (1 − csc x) / (1 − csc²x)
Use Pythagorean identity:
cot x (1 − csc x) / (-cot²x)
Divide:
(csc x − 1) / cot x
Answer:
Option (A)
Step-by-step explanation:
It has been given in this question that sign telling path has a 2% grade.
2% grade means a rise of 2 meters for a horizontal change of 100 m (As given in the figure attached).
All the trigonometric ratios for the angle θ between the path and the horizontal are,
Sinθ = 
Cosθ = 
tanθ = 
Since measures of the opposite side and adjacent sides are given
Therefore, tangent ratio will be applied to get the measure of the angle,
tanθ = 
θ = 
Option (A) will be the answer.
