Answer:
x=3
Step-by-step explanation:
2/3x+15=17
first subtract 15 from both sides
2/3x=2
multiply by 3 to eliminate the fraction
2x=6
divide by 3
x=3
Answer:
29500
Step-by-step explanation:
subtract the two numbers
Answer:
32,768 ways
Step-by-step explanation:
True/ false questions = 5 ; number of options = 2 (True or false)
Ways of answering = 2^5 = (2 * 2 * 2 * 2 * 2) = 32
Number of Multiple choice questions = 5
Number of options (A - D) = 4 options
Ways of answering = 4^5 = (4 * 4 * 4 * 4 * 4) = 1024
32 * 1024 = 32,768 ways
Area of the shaded region = Area <span>of a square - Area of a circle
</span>
Side of a square = 2r
Area of a square = (2r)² = 4r²
Area of a circle = πr²
Area of the shaded region = 4r² - πr² = <span>r²(4-π)</span>
Answer:
The hypotenuse of the triangle measures 13 inches.
Step-by-step explanation:
Since the Pythagorean theorem states that in any right triangle the lengths of the three sides are related by the equation A ^ 2 + B ^ 2 = C ^ 2, to determine the length of the hypotenuse in a right thangle with legs 5 inches and 12 inches the following calculation should be performed:
5 ^ 2 + 12 ^ 2 = X ^ 2
25 + 144 = X ^ 2
√169 = X
13 = X
Therefore, the hypotenuse of the triangle measures 13 inches.
