If;
A = Adjacent
O = Opposite
H = Hypotenuse
Then,
Sin Ф = O/H
Cos Ф = A/H
Therefore,
(Sin Ф)/Cos Ф) = (O/H)/(A/H) = (O/H)*(H/A) = O/A
Now,
tan Ф = O/A ----
Therefore, it is true that
tan Ф = SinФ/CosФ
3(-13-2)= -45
Step-by-step explanation:
We need to write the equation of:
three times the difference of -13 and 2 amounts to -45 written as an equation
The equation is:
3(-13-2)= -45
Keywords: Convert Sentence into Equations
Learn more about Converting Sentence into Equations:
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Question 5:
the circumference is given by:
C = 2 * pi * r
Where,
r: radio of the ball
Substituting values we have:
22 = 2 * pi * r
Clearing r we have:
r = 11 / pi
The surface area is given by:
A = 4 * pi * r ^ 2
Substituting values we have:
A = 4 * 3.14 * (11 / 3.14) ^ 2
A = 154 in ^ 2
Answer:
The surface area of the balloon is:
A = 154 in ^ 2
Question 8:
For this case we have that the scale factor is given by:
V1 = (k ^ 3) * V2
Substituting values we have:
729 = (k ^ 3) * 2744
Clearing k:
k = (729/2744) ^ (1/3)
k = 9/14
Answer:
the scale factor of a cube with volume 729 m ^ 3 to a cube with volume 2,744 m ^ 3 is:
9:14
Question 2:
The volume of the cylinder is given by:
V = pi * r ^ 2 * h
Where,
r : radio
h: height
Substituting values:
V = pi * (2.8) ^ 2 * (13)
V = 101.92 * pi
Answer:
The volume of the cylinder is:
V = 101.92 * pi
option 3
Look at the picture.
Therefore we have the equation:
10y - 29 = 7y + 19 <em>add 29 to both sides</em>
10y = 7y + 48 <em>subtract 7y from both sides</em>
3y = 48 <em>divide both sides by 3</em>
y = 16
3x + 7 = 5x - 21 <em>subtract 7 from both sides</em>
3x = 5x = -28 <em>subtract 5x from both sides</em>
-2x = -28 <em>divide both sides by (-2)</em>
x = 14
