Answer:
57.9°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between trig functions and sides of a right triangle. Here, you're given the side adjacent to the angle of interest, and the hypotenuse of the triangle. This suggests the CAH relationship is the one of interest:
Cos = Adjacent/Hypotenuse
cos(angle) = (741 ft)/(1393 ft)
angle = arccos(741/1393) ≈ 57.863° . . . . . use the inverse cosine function
angle ≈ 57.9°
The wire makes an angle of approximately 57.9° with the ground.
Answer:
![Solution,\\Volume(V)=72cm^{3} \\Radius(r)=3cm\\Height(h)=?\\As ,\\V=\pi r^{2} h\\72cm^{3} =\pi *(3cm)^{2} *h\\\frac{72cm^{3} }{9\pi cm^{2} }=h\\ h=2.5464cm](https://tex.z-dn.net/?f=Solution%2C%5C%5CVolume%28V%29%3D72cm%5E%7B3%7D%20%5C%5CRadius%28r%29%3D3cm%5C%5CHeight%28h%29%3D%3F%5C%5CAs%20%2C%5C%5CV%3D%5Cpi%20r%5E%7B2%7D%20h%5C%5C72cm%5E%7B3%7D%20%3D%5Cpi%20%2A%283cm%29%5E%7B2%7D%20%2Ah%5C%5C%5Cfrac%7B72cm%5E%7B3%7D%20%7D%7B9%5Cpi%20cm%5E%7B2%7D%20%20%7D%3Dh%5C%5C%20h%3D2.5464cm)
Step-by-step explanation:
Hence the height ≈ 2.5464cm
Answer:
Answer: k must be 5/2 or 1
Step-by-step explanation:
![{ \tt{ - {2k}^{2} + 7k - 5 = 0}}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7B%20-%20%20%7B2k%7D%5E%7B2%7D%20%20%2B%207k%20-%205%20%3D%200%7D%7D%20)
» Factorise the equation:
![{ \tt{ {2k}^{2} - 7k + 5 = 0 }} \\ { \tt{(2k - 5)(k - 1) = 0}} \\ \\ { \tt{k = \frac{5}{2} \: and \: 1 }}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7B%20%7B2k%7D%5E%7B2%7D%20-%207k%20%2B%205%20%3D%200%20%7D%7D%20%5C%5C%20%20%20%7B%20%5Ctt%7B%282k%20-%205%29%28k%20-%201%29%20%3D%200%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Ctt%7Bk%20%20%3D%20%20%5Cfrac%7B5%7D%7B2%7D%20%20%5C%3A%20and%20%5C%3A%201%20%7D%7D)
Answer:
x
2
−
8
x
−
17
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
1
,
b
=
−
8
, and
c
=
−
17
into the quadratic formula and solve for
x
.
8
±
√
(
−
8
)
2
−
4
⋅
(
1
⋅
−
17
)
2
⋅
1
Simplify.
Tap for more steps...
x
=
4
±
√
33
The result can be shown in multiple forms.
Exact Form:
x
=
4
±
√
33
Decimal Form:
x
=
9.74456264
…
,
−
1.74456264
…
Step-by-step explanation: