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4 years ago

True or false I’m confused ?

Mathematics

1 answer:

larisa [96]4 years ago

6 0

The answer would be false

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You are riding along a straight river from east to the west at speed of 160m/m. At a given time, you will see the bearing of a c

yuradex [85]

Using the given information, the width of the river is 505.96 m

<h3>Bearing and Distances</h3>

From the question, we are to determine the width of the river

Consider the given diagram,

Let F be the first position of the biker

S be the second position

and C be the position of the church

First, we will determine the distance covered from F to S

Speed = 160m/min

Time = 4 minutes

Using the formula,

Distance = Speed × Time

Distance covered = 160 × 4

Distance covered = 640 m

That is, /FS/ = 640 m

Now, consider ΔFSC

∠F = 90° - 70° = 20°

∠S = 90° + 56° = 146°

and ∠C = 180° - 20° - 146° = 14°

By the Law of Sines

$\frac{/FC/}{sin\ S}= \frac{/FS/}{sin\ C}$

∴ $\frac{/FC/}{sin\ 146^\circ}= \frac{640}{sin\ 14^\circ}$

$/FC/ =\frac{640 \times sin \ 146^\circ}{sin \ 14^\circ}$

/FC/ = 1479.33 m

Now,

By SOH CAH TOA

$cos \ 70^\circ = \frac{d}{/FC/}$

NOTE: d is the width of the river

∴ d = /FC/ × cos70°

d = 1479.33 × cos70°

d = 505.96 m

Hence, the width of the river is 505.96 m

Learn more on Bearing and distances here: brainly.com/question/19351991

#SPJ1

7 0

2 years ago

17 feet in 4 minutes<br><br>pls hurry

IrinaK [193]

Answer:

4.25

Step-by-step explanation:

17/4

= 4.25

I hope it helps! Have a great day!

Muffin ^^

8 0

2 years ago

Read 2 more answers

The Council requests that you solve this problem.

jolli1 [7]

Answer:

Its not that hard think harder 9

3 0

3 years ago

Read 2 more answers

Ian and his friends are renting a cabin that charges an initial fee plus a rate per night. The relationship between the cost and

Brut [27]

Answer:

Cost per night: 75

Equation: $y = 75x + 50$

Step-by-step explanation:

An equation to represent the situation can be written in the slope-intercept form, $y = mx + b$ , where,

m = slope of the graph, which is the rate per night.

b = y-intercept, which is the initial fee. It is the point where the line intercepts the y-axis.

Let's find m, using two points on the line, (2, 200) and (4, 350)

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{350 - 200}{4 - 2} = \frac{150}{2} = 75$

✅The cost per night = 75

y-intercept, b, = 50. The line intercepts the y-axis at y = 50, when x = 0.

Substitute m = 75, and b = 50 into $y = mx + b$ .

✅The equation would be:

$y = 75x + 50$

6 0

3 years ago

2 1/2 divided by 3/2

Anni [7]

Answer:

1.6666666666

Hope this helps!

7 0

4 years ago