Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180 for B
B = 180° - (90 + 40)° = 180° - 130° = 150°
--------------------------------------------------------------
sin40° = 
= 
Multiply both sides by 21
21 × sin40° = a, thus
a ≈ 13.5 ( to the nearest tenth )
--------------------------------------------------------------
cos40° = 
= 
Multiply both sides by 21
21 × cos40° = b, thus
b ≈ 16.1 ( to the nearest tenth )
I am guessing you have to rotate it 180 degrees and see if it fits in the area in which it’s supposed to fit it’s there another part to the question?
Well technically the check will not go through because she does not have a balance greater than or equal to $55, but if you need an answer it would be $47-$55= $-8.
To find this I would use the pythagorean theorem which is:
a^2 + b^2 = c^2
Since we already know c = hypotenuse, and a side of the shorter sides we can plug them it like this:
11^2 + b^2 = 12^2
121 + b^2 = 144
b^2 = 23
√23 = 4.79
Round:
B. 4.8 would be your answer!
Step-by-step explanation:
first do prime factorization of 324= 2×2×3×3×3×3
= 2 square, 3 square,3 square
therefore 324 is a perfect square
Now,
prime factorization of 588=2×2×3×7×7
= 2 square,7 square ,3
therefore 588 is not a perfect square
