16% of $36.48 is $5.84
9s
Cross multiply 16 and 36.48 to 583.68, and then I divided by 100, to get the percent of 5.8368, which I rounded up to 5.84%.
Answer: sin u = -5/13 and cos v = -15/17
Step-by-step explanation:
The nice thing about trig, a little information goes a long way. That’s because there is a lot of geometry and structure in the subject. If I have sin u = opp/hyp, then I know opp is the opposite side from u, and the hypotenuse is hyp, and the adjacent side must fit the Pythagorean equation opp^2 + adj^2 = hyp^2.
So for u: (-5)^2 + adj^2 = 13^2, so with what you gave us (Quad 3),
==> adj of u = -12 therefore cos u = -12/13
Same argument for v: adj = -15,
opp^2 + (-15)^2 = 17^2 ==> opp = -8 therefore sin v = -8/17
The cosine rule for cos (u + v) = (cos u)(cos v) - (sin u)(sin v) and now we substitute: cos (u + v) = (-12/13)(-15/17) - (-5/13)(-8/17)
I am too lazy to do the remaining arithmetic, but I think we have created a way to approach all of the similar problems.
First, we must determine the slope of the line. The slope can be found by using the formula:
m
=
y
2
−
y
1
x
2
−
x
1
Where
m
is the slope and (
x
1
,
y
1
) and (
x
2
,
y
2
) are the two points on the line.
Substituting the values from the points in the problem gives:
m
=
−
3
−
5
−
3
−
5
=
−
8
−
8
=
1
Next, we can use the point-slope formula to get an equation for the line. The point-slope formula states:
(
y
−
y
1
)
=
m
(
x
−
x
1
)
Where
m
is the slope and
(
x
1
y
1
)
is a point the line passes through.
Substituting the slope we calculated and the first point from the problem gives:
(
y
−
5
)
=
1
(
x
−
5
)
The standard form of a linear equation is:
A
x
+
B
y
=
C
Where, if at all possible,
A
,
B
, and
C
are integers, and A is non-negative, and, A, B, and C have no common factors other than 1
We can now transform the equation we wrote to standard form as follows:
y
−
5
=
x
−
5
−
x
+
y
−
5
+
5
=
−
x
+
x
−
5
+
5
−
x
+
y
−
0
=
0
−
0
−
x
+
y
=
0
−
1
(
−
x
+
y
)
=
−
1
⋅
0
x
−
y
=
0
1
x
+
−
1
y
=
0
Answer:
see below
Step-by-step explanation:
Corresponding angles of similar triangles are equal and corresponding sides are proportional so:
m ∠P = m ∠D = 180° - (35° + 89°) = 56°
m ∠Q = m ∠F = 89°
m ∠ R = m ∠E = 35°
PR/DE =PQ/DF
40/DE = 20/24 cross multiply and solve for DE
DE = 40*24/20
DE = 48
scale factor is DF/PQ = 24/20 = 6/5 so FE = 6/5 *RQ =6/5 *36 = 43.2
First, we need to find the perimeter of the basketball court. To find the perimeter, you need to add all the sides of the shape, or in this case add the width(2) and height(2).
(32 x 2) + (17x2) = 64 + 34 = 98
the perimeter is 98 meters.
She drew a line around the perimeter, and the perimeter is 98 meters, so the line si also more or less 98 meters.
The correct answer is D.
