Garrett and Jeffrey are planning a treasure hunt. They decide to place a treasure at

Veronika [31]

The definition of the tangent function tells you
tan(angle) = (300 ft) / (distance to mountain)
This equation can be rearranged to
(distance to mountain) = (300 ft) / tan(angle)

For the far end of the river,
distance to far end = (300 ft) / tan(24°) ≈ 673.8 ft

For the near end of the river
distance to near end = (300 ft) / tan(40°) ≈ 357.5 ft

Then the width of the river can be calculated by finding the difference of these distances:
width of river = distance to far end - distance to near end
width of river = 673.8 ft - 357.5 ft
width of river = 316.3 ft

The appropriate answer choice is
316 ft.

8 0

3 years ago

Mario worked from 8:25 to 12:45 yesterday. Today

solmaris [256]

The number of hours he worked in all (written in fraction form) is $8\frac{1}{6} \ hours$

From the question,

Mario worked from 8:25 to 12:45 yesterday.

From 8:25 to 12:45 gives 4 hours 20 minutes

Also, from the question,

Today he will work from 11:20 to 3:10

From 11:20 to 3:10 gives 3 hours 50 minutes

To determine the number of hours he work in all, we will add the time spent working on the previous day to that of the current day. That is,

4 hours 20 minutes + 3 hours 50 minutes = 8 hours 10 minutes

Now, to put the answer in fraction form, we will convert 10 minutes to hours

NOTE: 60 minutes = 1 hour

∴ 10 minutes = $\frac{10}{60} \ hours$ = $\frac{1}{6} \ hours$

∴ 8 hours 10 minutes = $8\frac{1}{6} \ hours$

Hence, the number of hours he worked in all (written in fraction form) is $8\frac{1}{6} \ hours$

Learn more here: brainly.com/question/3164396

6 0

2 years ago

Does anyone know what the 5√2 (simplify radicals)?

maks197457 [2]

Answer:

5√2 is as simple as it gets

5√2 ≈ 7.071068

Step-by-step explanation:

One simplifies radical expressions by removing from under the radical any squares that might be there. 2 is a prime number, so has no square factors. The simplest form of this radical expression is the one given:

5√2

Your calculator can tell you the value of this irrational number is about ...

5√2 ≈ 7.071068

8 0

3 years ago

Jenna works in an ice cream shop. When she starts her shift the tub of chocolate ice cream is 23 full. When she finishes her shi

ipn [44]

Answer:

$Rate = 1.1/hr$