<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
Let's start with what we know:
Smaller canvas:
Length (

) = 3ft
Width (

) = 5ft
Larger canvas:
Length (

) = ?
Width (

) = 10ft
Since these are similar rectangles, we can cross-multiply to calculate the missing length. Here's that formula:

So let's plug it all in from above:

Now we cross multiply by multiplying the top-left by the bottom-right and vice versa:


Now divide each side by 5 to isolate


The 5s on the right cancel out, leaving us with:

So the length of the larger canvas is
6 ft
Answer:
Turning her body toward Carly.
Step-by-step explanation:
Since turning someone's body towards the speaker means that they are actively paying attention. If she would return text messages, it would make it look like Stephanie doesn't care at all, same thing for focusing on people in the background. If she were to stop Carly's story to ask off-topic questions, it would also make Stephanie seem ignorant.
Questions is incomplete however from what i understand it is asking (4^2)^4 which can be made that the arguement of the function is correct because its is the multiplication of radicals which however way you put it will equal the same
You would follow the order of operations
Parentheses
Exponents
Multiply/Divide
Add/Subtract
if it is multiply or divide, go from left to right. do the same if it is addition or subtraction
4000/10x2+4-8
first, do 4000/10
400x2+4-8
then do 400x2
800+4-8
then do 800+4
804-8
796
rounding to the nearest tens would make it 800
because 9 rounded up is 10