See the picture attached to better understand the problem
we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
so
1/3=AC/AB----->AB=3*AC-----> square----> AB²=9*AC²----> equation 1
applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2
substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
AB²=9*AC²----> AB²=9*(√2/2)²----> AB=(3√2)/2
the answer isthe hypotenuse is (3√2)/2
A geometry app shows lengths that add up to 27.4 units.
The Pythagorean theorem can be used to find the lengths of the segments. Each length is the square root of the sum of squares of the difference in x-coordinates and the difference in y-coordinates.
segment AB: length = √(3²+8²) = √73 ≈ 8.544
segment BC: length = √(7²+4²) = √65 ≈ 8.062
segment CA: length = √(10²+4²) = √116 ≈ 10.770
Then the total perimeter is the sum of these lengths:
... 8.544 +8.062 +10.770 = 27.376 ≈ 27.4 . . . . units
(9-4) + 3•8 = 29
Explanation
First you need to apply the PEMDAS rule
Parentheses
Exponents
Multiplication
Division
Addition
Subtract
So when solving the problem you first have to solve what’s in Parentheses first. So (9-4) which would equal 5
Next, according to the PEMDAS rule you’d have to do multiplication next. So 3•8 is equal to 24
And finally, the last step is Addition. After you’ve done the Parentheses and Multiplication you have to add up your answers. 5+24 would be 29
Answer= 29
Hey there, the formula for volume is length×base×height, the volume of a rectangular prism is 300 ft and the length and base is 12 ft, 300=12h, h=300/12=25. Therefore, the height is 25
Answer: 4/5
Step-by-step explanation: 1/5 times 5/1=4/5