All categories

3 years ago

Two ships leave port at the same time. One

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

7 0

Answer:

19.18 km

Step-by-step explanation:

The angle between the directions is 127 - 46 = 81

Use the law of cosines.

Let d = the distance between the ships

d^2 =10^2 +18^2 - 2*10*18 cos 81

= 100 + 324 - 360cos 81

= 424 - 360(.156434...)

= 367.6835

d = 19.18 km

You might be interested in

2. angle ABE = angle MNP <br><br> Write another valid congruency statement:

Free_Kalibri [48]

Given:

$\Delta ABE\cong \Delta MNP$

To find:

The congruent angles and sides, then find the another valid congruency statement.

Solution:

We have,

$\Delta ABE\cong \Delta MNP$

We know that, corresponding parts of congruent triangles are congruent (CPCTC).

Using CPCTC, we get

Angles:

$\angle A\cong \angle M$

$\angle B\cong \angle N$

$\angle E\cong \angle P$

Sides:

$AB\cong MN$

$BE\cong NP$

$AE\cong MP$

The another congruent statement is $\Delta BEA\cong \Delta NPM$ .

Therefore, the required table is

Angles Sides

$\angle A\cong \angle M$ $AB\cong MN$

$\angle B\cong \angle N$ $BE\cong NP$

$\angle E\cong \angle P$ $AE\cong MP$

The another congruent statement is $\Delta BEA\cong \Delta NPM$ .

4 0

3 years ago

There are 486 hamsters at a private showing of a new documentary about humans. If there are 12 seats in each row, about how many

Citrus2011 [14]

Answer:

40 rows will hamsters fill

Step-by-step explanation:

As per the statement:

There are 486 hamsters at a private showing of a new documentary about humans.

⇒Total number of hamsters = 486

It is also given that there are 12 seats in each row.

then;

They will fill = $\frac{486}{12} = 40.5$

Therefore, the best estimate the rows will hamsters fill is 40 rows.

7 0

3 years ago

Joel and his two friends went to the movies. They each brought a medium popcorn. All together they spent $45. How much did each

grin007 [14]

3 boys = $45

÷3 ÷3

$15, if they brought their own popcorn, then it's lose information, it's just there to throw you off

( ͡ ͜ʖ ͡ )

7 0

4 years ago

Main and Range of a Step Function

Zina [86]

Answer:

Domain: real numbers greater than or equal to -3

Range: equal to -4, 2 and 3

Step-by-step explanation:

7 0

3 years ago

Residents who live in the city receive power from the city’s power plant. If the city is a square, approximately how wide is the

dusya [7]

All you have to do is square root to give you the length of the square side
Sqrt(200) = 14.1 miles^2 (1dp)

5 0

4 years ago