<u>Given</u>:
Given that FGH is a right triangle. The sine of angle F is 0.53.
We need to determine the cosine of angle H.
<u>Cosine of angle H:</u>
Given that the sine of angle F is 0.53
This can be written as,

Applying the trigonometric ratio, we have;
----- (1)
Now, we shall determine the value of cosine of angle H.
Let us apply the trigonometric ratio
, we get;
----- (2)
Substituting the value from equation (1) in equation (2), we get;

Thus, the cosine of angle H is 0.53
This question requires you to covert minutes and seconds to degrees
In the question we have 59 minutes and 60 seconds that needs to be converted.
1°=60 minutes
59 minutes = 59÷60
=0.983333°
60 seconds = 1 minute
1 minute = 0.0166667°
So, <span>24° 59' 60" will be equal to
</span>
24°+0.983333°+0.0166667°= 24.9999997°
Answer:
$4785.68
Step-by-step explanation:
Original amount: <u>$</u><u>4</u><u>2</u><u>3</u><u>0</u>
Interest for 1 year: <u>4</u><u>.</u><u>2</u><u>%</u>
<em>First year;</em>

<em>S</em><em>e</em><em>c</em><em>o</em><em>n</em><em>d</em><em> </em><em>y</em><em>e</em><em>a</em><em>r</em><em>;</em>

<em>T</em><em>h</em><em>i</em><em>r</em><em>d</em><em> </em><em>y</em><em>e</em><em>a</em><em>r</em><em> </em><em>(</em><em>t</em><em>o</em><em>t</em><em>a</em><em>l</em><em> </em><em>b</em><em>a</em><em>l</em><em>a</em><em>n</em><em>c</em><em>e</em><em> </em><em>a</em><em>f</em><em>t</em><em>e</em><em>r</em><em> </em><em>3</em><em> </em><em>y</em><em>e</em><em>a</em><em>r</em><em>s</em><em>)</em><em>;</em>

Round the number;
<em><u>$4785.68</u></em>
YOUR ANSWER hope this helps :))
Answer:
15 miles
Step-by-step explanation:
To find the actual distance in miles between Lynwood and Forest Hill, we can use a rule of three:
If 0.25 inch on the map is equivalent to 1 mile, then 3.75 inch on the map is equivalent to what distance:
0.25 inch -> 1 mile
3.75 inch -> X miles
0.25/3.75 = 1/X
X = 3.75/0.25 = 15 miles
The actual distance between Lynwood and Forest Hill is 15 miles.
Since rational numbers are any number that can be made into a ratio, i believe all are correct. Normally, they'd be irrational by themselves, but multiplying them by 1/5 changes things.