the complete question in the attached figure
we know that
sin40° = opposite side / hypotenuse
opposite side =AC
hypotenuse = AB-------> 10 in
sin 40=AC/AB---------> AC=AB*sin 40-------> AC=10*sin 40
the answer is
The length of EF=15 cm.
Side lengths of similar triangles are proportional. BC is 1.5 times the length of AC, so EF will be 1.5 times the length of DF:
1.5·6 cm = 9 cm
A is the correct answer to this question because AC and BC differ because the B must be changed to an A.
AC = 10sin40°
Using the sine ratio in the right triangle
sin40° = = , then
sin40° = ( multiply both sides by 10 )
10sin40° = AC
Check the picture below.
If AC is the hypothenuse, then the answer is A. 10 feet.
The equation you would use is a squared+b squared=c squared
So basically it would be (8x8)+(6x6)=c squared
Then you would add the known numbers together: 64+36=100
And last you find the square root of the total (10) and that’s your answer
According to law of cosines =
where 'a' is the uknown side , 'b' & 'c' are the given sides and angleA is the angle opposite to the uknown side i.e. opposite to 'a'.
Using the Law of cosines , we'll find the length of AC .
In option D , if we'll round of 8.86 , then its appx 9. So option D is right
The answer is C) 13.
To find the hypotenuse (longest side) of a right triangle, you need to use the Pythagorean Theorem. The formula for the hypotenuse is a^2 + b^2 = c^2.
5^2 (five squared) equals 25, and 12^2 (twelve squared) equals 144.
25 + 144 = 169
Next, find the square root of 169. It is 13. 13 is the length of the hypotenuse.
I hope this helped! :)
Also next time please include the fact that it’s a right triangle or has a 90 degree angle
5x + 5
you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.
(f + g)x = -x^2 +3x + 5 + x^2 + 2x
(f + g)x = 5x + 5
the graph of z = 5x + 5 is shown below. always use desmos when in doubt.