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3 years ago

7

Which statement is true

1 answer:

FinnZ [79.3K]3 years ago

6 0

I think the answer is c

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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

¯¯¯ , BD¯¯¯¯¯ , and CD¯¯¯¯¯ are angle bisectors of the sides of △ABC . CF=8 m and CD=17 m. What is DE ?

34kurt

I just took this quiz. Its 15

3 0

3 years ago

Karl bought ? 3 1/2 ? gallons of milk that cost $2.70 per gallon. How much did he spend? Please I need it super fast I will mark

lisov135 [29]

He spent $9.45
3.5x2.7= 9.45

6 0

3 years ago

A property map is drawn at a scale of 1:1000. Calculate the corresponding actual distance if the distance between two points on

zvonat [6]

Answer:10 m

Step-by-step explanation:

Given

Scaling ratio 1:1000

i.e. one unit in map is equal to 1000 unit in actual distance

therefore if the distance between two points is 1 cm in map then

it is 1000 cm in reality

8 0

3 years ago

A rocket is launched from the ground and travels in a straight path. The angle of inclination of the rocket's path is 1.2 radian

gladu [14]

Answer:

a) $S=2.57$

b) $H=203.2yard$

c) $X=121.79yards$

Step-by-step explanation:

From the question we are told that:

Angle $\theta=1.2=68.755^o$

a)

Generally the equation for Slope is mathematically given by

$S=tan \theta$

$S=tan 68.755$

$S=2.57$

b)

Given the right Angle triangle with horizontal distance $x=85yard$

Generally the equation for Height traveled is mathematically given by

$H=tan\theta*x$

$H=2.57*85$

$H=218.45$

$H=203.2yard$

c)

Generally the equation for Horizontal Distance traveled at 313 height traveled is mathematically given by

$X=\frac{313}{tan65.75}$

$X=\frac{313}{2.57}$

$X=121.79yards$

3 0

2 years ago