SinA = 3/5
cosA = 4/5
cosB = 3/5
sinB = 4/5
sin(A+B) = sinAcosB + cosAsinB
= (3/5)(3/5) + (4/5)(4/5)
= 9/25 + 16/25
=(9+16)/25
=25/25
=1
therefore, the answer is B
The girls collected 8.5 pounds more than the boys in class 4
<h3>Complete question</h3>
Five classes collected money for a charity of their choice. The amounts of money collected by the boys and girls of each are shown in the chart below.
In Class 4, how much more money did the girls collect than the boys?
<h3>How to determine the difference in amounts?</h3>
From the attached chart, we have the following amount in class 4:
Girls = 12 pounds
Boys = 3.5 pounds
The difference is calculated as:
Difference = Girls - Boys
So, we have:
Difference = 12 pounds - 3.5 pounds
Evaluate
Difference = 8.5 pounds
Hence, the girls collected 8.5 pounds more than the boys in class 4
Read more about charts at:
brainly.com/question/25583717
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The width of the rectangle would be 6 times the first rectangle and the length would be 8 times the first rectangle.
<u>Explanation:</u>
Given:
Two rectangles are proportional.
Length and width of 1 rectangle = 6 : 8
Dimensions of the other rectangle = ?
Let length and width of the other rectangle be x : y
According to the question:


So, the width of the rectangle would be 6 times the first rectangle and the length would be 8 times the first rectangle.
9514 1404 393
Answer:
10·2^-8 grams
Step-by-step explanation:
The each day, the initial amount for that day is multiplied by 1/2. After 8 days, the initial amount has been multiplied by (1/2)^8, where the exponent of 8 signifies that (1/2) is a factor 8 times in the product.
After n days, the quantity remaining is ...
q(n) = 10·(1/2)^n = 10·2^(-n)
after 8 days the remaining amount is ...
q(8) = 10·2^-8 . . . grams
9514 1404 393
Answer:
2160°
Step-by-step explanation:
The sum of interior angles of a convex n-gon is ...
angle sum = 180(n -2)°
When n=14, the angle sum is ...
angle sum = 180(14 -2)° = 2160°