Well to find the values of the variables, you would have to use the Pythagorean Theorem. The Pythagorean Theorem states that a²+b²=c². A being one side of the triangle, b being the other side, and c being the hypotenuse. The hypotenuse is the slanted and the longest side of a right triangle. So let's find the the total amount of x and y. 5+7=12 Just plug in the numbers into the equation 12²+5²=c² C would equal 13. So we know that x+y=13. If we plug in 7 and 5 into the equation (solving for y) 7²+5²=c², C would equal 8.6. To find x just do 13-8.6 and we get 4.4. So we know that y=8.6 and x=4.4. Hope I helped!
Answer:
It should be 120 because it’s doubles 3 times
Step-by-step explanation:
Since every 4 hours it doubles and 4 times 3 is 12 you double the strand 3 times giving you 120
If he's studying 3/4 hours more everyday, for Friday it will be 1 + 6/8 = 1 and 3/4 hours or 1 hour and 45 minutes.
Answer:
Quadrant 2
Step-by-step explanation:
Answer:
(1) How many equilateral triangles are there? ___6__
(2) What is the measure of each of the three angles in the equilateral triangle? __60°_
(3) If we cut an equilateral triangle down the middle (green line), what special right triangle do you create? _30-60-90_
(4) What is the vocabulary word for the green line? _Perpendicular bisector_
(5) What is the length of the short side of one 30-60-90 triangle? __4_cm_
(6) What is the length of the hypotenuse of one 30-60-90 triangle? __8 cm
(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg. _4√3_cm
(8) What is the height of the equilateral triangle? _4√3_cm
(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. ½(8)(4√3) = 16√3 cm²
(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles. _8(16√3) = 128√3 cm²_
Step-by-step explanation: