Answer:
41 degrees
Step-by-step explanation:
The three angles need to add up to 180 degrees!
Pythagorean TheoremIn a right triangle, the sum of the squares of the legs equals the square of the hypotenuse."Special Triangles"<span>3-4-5
5-12-13
7-24-25
8-15-17</span>Converse of the Pythagorean ConjectureIf the lengths of a triangle satisfy the Pythagorean Theorem, then the triangle is a right triangle.Isosceles Right Triangle ConjectureIn an isosceles right triangle, if the legs have length x, then the hypotenuse has length x-root-2.30-60-90 Triangle ConjectureIn a 30-60-90 triangle, if the shorter leg has length x, then the longer leg has length x-root-3 and the hypotenuse has length 2x.Rationalizing the DenominatorEquation for a Circlea squared + b squared is less than c squaredObtuse trianglea squared + b squared is greater than c squaredAcute triangle
Answer:
200, 500, 250, 520, 220 and 550
Step-by-step explanation:
A number is multiple of 10 if the number finish in the digit 0.
So, all three-digit numbers that are multiples of 10 and have the digits 0, 2 and 5 are:
200
500
250
520
220
550
Answer:
The plates will not fit into the box.
Step-by-step explanation:
Each plate is 0.5 inches tall; therefore, the stack of 8 plates will have a height of
.
Also, the diameter of the largest plate is 10 inches or has a radius of 5 inches, which matches the radius of the cylindrical box; therefore, we know that the stack of plates can fit into the base area of the cylindrical box.
What we want to figure out now is the height of the cylindrical box <em>to see if it is greater than or equal to 4 inches</em>—<em>the height of the stack of plates. </em>
The volume of a cylinder is
, and since for our cylindrical box the volume is 150 cubic inches; therefore,

putting in
and solving for height
we get

,
which is not greater than 4 inches, which means the plates will not fit into the box since the height of the stack is greater than the height of the box.
Answer:
x = -2
Step-by-step explanation:
2(4x+8)
= 8x+16
8x+16 = 0
-16 -16
8x = -16 (do -16÷8 & get)
x = -2