Answer:
4(t+25) = (t+50) - 4 (0.15t)
4t + 100 = t + 50 - 0.6t
4t + 100 = 50 + 0.4t
4t - 0.4t + 100 = 50 + 0.4t - 0.4t
3.6t + 100 = 50
3.6t + 100 - 100 = 50 - 100
3.6t = -50
3.6t / 3.6 = -50 / 3.6
t = - 13.9
Step-by-step explanation:
He will need 17 inches of ribbon.
The diagonal splits the square into two right triangles. We can then use the Pythagorean theorem to find the length of the diagonal (the hypotenuse of the triangle):
12² + 12² = x²
144 + 144 = x²
288 = x²
Take the square root of both sides:
√288 = √x²
16.97 = x
17≈x
Answer:
i need a picture
or sum
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
The directed lines have the form < x, y >
With the usual notation
right in x- direction → +
left in x- direction → -
up in y- direction → +
down in y- direction → -
21
EF = < 4, 1 >
22
FG = < 4, - 2 >
23
GH = < - 4, - 2 >
24
EH = < 4, - 3 >
Cosine (x) = 4 over 5
cos
(
x
)
=
4
5
Explanation:
First you must apply sohcahtoa
it means
sine = opposite side over hypotenuse
sine = opposite/hypotenuse
cosine = adjacent side over hypotenuse
cosine = adjacent/hypotenuse
tangent = opposite side over adjacent side
tangent = opposite/adjacent
then
solve the unknown by applying the Right Triangle Theorem.
draw a right triangle.
label the parts where
a
is the opposite side
b
is the adjacent side
c is the hypotenuse
Solve the unknown. The hypotenuse using
a
2
+
b
2
=
c
2
since the given
tan
x
=
3
4
it means
tan = opposite/adjacent
a
= opposite side =
3
b
= adjacent side =
4
c
= hypotenuse = ??
a
2
+
b
2
=
c
2
substitute the value
(
3
)
2
+
(
4
)
2
=
c
2
9
+
16
=
c
2
25
=
c
2
get the square root of
25
it is equal to
5
therefore
c
=
5
c
= hypotenuse =
5
cos
= adjacent/hypotenuse
cos
(
x
)
=
4
over
5
cos
(
x
)
=
4
5
