The distance can be calculated using the Law of Cosines. The angle internal to the triangle at Q is (180°-(146° -65°)) = 99°. Then the distance PR can be found from ...

PR² = PQ² +QR² -2·PQ·QR·cos(∠PQR)

PR² = 6² +10² -2·6·10·cos(99°) ≈ 154.77

PR ≈ √154.77 ≈ 12.44 . . . . km

The distance PR is about 12 km.

6 0

3 years ago

Eloise has a piece of string that she cuts into smaller pieces. This line plot shows the lengths of the pieces. Matthew has a pi

Marina86 [1]

Answer:

15 1/3

Step-by-step explanation:

7 0

3 years ago

Can someone please help?

PIT_PIT [208]

Step-by-step explanation:

are this form 1 question???

4 0

3 years ago

Write 3.242424... as a mixed number.

victus00 [196]

Answer:

$3\frac{8}{33}$

Step-by-step explanation:

3.242424.....

This number can be written as 3 + 0.242424....

We convert the decimal part into fraction

Let x= 0.242424......

Multiply both sides by 100

100x = 24.2424....

x= 0.2424.....

------------------------------------- (subtract it)

99x = 24

Divide both sides by 99

So x= 24/ 99

simplify the fraction

$\frac{24}{99} =\frac{8}{33}$

3.242424... can be written as 3 + 0.242424....

Replace the fraction for decimal

So final answer is $3\frac{8}{33}$

7 0

3 years ago