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3 years ago

The function that represents the graph in the image is

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

3 0

And aww is I have no idea

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Fill in Sin, Cos, and tan ratio for angle x. <br> Sin X = 4/5 (28/35 simplified)

Fantom [35]

Answer:

Given: $\sin(x) = (4/5)$ .

Assuming that $0 < x < 90^{\circ}$ , $\cos(x) = (3/5)$ while $\tan(x) = (4/3)$ .

Step-by-step explanation:

By the Pythagorean identity $\sin^{2}(x) + \cos^{2}(x) = 1$ .

Assuming that $0 < x < 90^{\circ}$ , $0 < \cos(x) < 1$ .

Rearrange the Pythagorean identity to find an expression for $\cos(x)$ .

$\cos^{2}(x) = 1 - \sin^{2}(x)$ .

Given that $0 < \cos(x) < 1$ :

$\begin{aligned} &\cos(x) \\ &= \sqrt{1 - \sin^{2}(x)} \\ &= \sqrt{1 - \left(\frac{4}{5}\right)^{2}} \\ &= \sqrt{1 - \frac{16}{25}} \\ &= \frac{3}{5}\end{aligned}$ .

Hence, $\tan(x)$ would be:

$\begin{aligned}& \tan(x) \\ &= \frac{\sin(x)}{\cos(x)} \\ &= \frac{(4/5)}{(3/5)} \\ &= \frac{4}{3}\end{aligned}$ .

7 0

2 years ago

Juan rides his bike with a constant speed of 20 km/h. How long will he take to travel a distance of 30 kilometers?

Fudgin [204]

Given:
unit rate: 20km/h

Speed = distance / time
20kmh = 30km / time
time = 20kmh / 30km
time = 2/3 hrs or 40 minutes

2/3 hrs * 60mins/hr = (2*60)/3 = 120/3 = 40 minutes

4 0

3 years ago

Read 2 more answers

What is the Value of:

RoseWind [281]

1/2^3 = 1/2 x 1/2 x 1/2 = 1/8

Answer is C

8 0

3 years ago

Find the measure Of K

Mariana [72]

Answer:

K = 10

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin K = 11 / 61

Taking the inverse sin of each side

sin ^-1 ( sin K) = sin ^-1 (11/61)

K =10.38885782

K = 10

7 0

3 years ago

A cliff forms an angle of x∘ with a lake. If you stand on the edge of the cliff and throw a rock at a distance of 48 ft to the w

klemol [59]

Answer:

∅=6°

Step-by-step explanation:

we have that the distance from the edge of the cliff to the lake is 48 feet, and when the stone is thrown into the lake it collides with the water 5 feet from the base of the cliff so you must find the distance that the stone travels from the edge of the sewer up to 5 feet beyond its base (hypotenuse) and then the angle that forms it (slope)

Hypotenuse (c)

$c^{2}=a^{2}+b^{2}\\c^{2}=48ft^{2}+5ft^{2}\\c^{2}=2304ft^{2} +25ft^{2}=2329ft^{2}\\c=\sqrt{2329ft^{2}}=48.25ft$ :

Slope ∅

Sin∅ = 5ft/48.25ft = 0.1036

∅=arcsin(0.1036) ≅ 5.9°, but how should we round to the nearest integer

, then:

∅=6°

8 0

3 years ago