Answer:
27.5 mm
Step-by-step explanation:
The game piece has the shape of two identical square pyramids attached at their bases. Given that the perimeters of the square bases are 80 millimeters, and the slant height of each pyramid is 17 millimeters.
Let the side length of each of the side of the base of the pyramid be b, hence:
perimeter = 4b
80 = 4b
b = 20 mm. half of the side length = b/2 = 20 / 2 = 10 mm
The slant height (l) = 17 mm, Let h be the height of one of the pyramid, hence, using Pythagoras theorem:
(b/2)² + h² = l²
17² = 10² + h²
h² = 17² - 10² = 189
h = √189
h = 13.75 mm
The length of the game piece = 2 * h = 2 * 13.75 = 27.5 mm.
Area of a triangle is A = (1/2) (b) (h). Here we are given A and b and need to find h.
A = 24 ft^2 = (1/2) (4 ft) (height)
24 = 2(height) => height is 12 ft (answer)
Answer:
26°
Step-by-step explanation:
An obtuse triangle is a triangle that has one obtuse angle. Obtuse angle is an angle that is greater than 90 degrees but less than 180 degrees.
An isosceles triangle is a triangle that has two equal sides and angles.
Therefore, an obtuse isosceles triangle is a triangle with an obtuse angle and two equal sides that have two equal acute angles (angle less than 90° ).
Given:
The three angles of the triangle are given to be x°, x° and (10x−2) = 128°. The obtuse angle is 128°, the two x° are acute angles. We are not using equation 10x − 2 since the value of the obtuse angle has been given as 128°
The sum of angles in a triangle is 180°
∴ x° + x° + 128° = 180°
2x° = 180° - 128°
2x° = 52°
x° = 52° / 2
x° = 26°
The measurement of one of the acute angles is 26°
Ok so you have a equation already solved for a single variable which in this case is y. So just take 6x+2 and sub it in for all the y's in 3y-18x=12 3(6x+2)-18x=12. Now distribute the 3 to get 18x+6-18x=12. Next combine like terms to get 6=12 Now because we cant do anything else and our variable is canceled out and the equality of 6=12 is false the solution to this SoE would be No Solution. <span />
The answer is B 36 because the chance of you grabbing a white or black is 12/15 meaning if you pulled 15 marbles, most likely 12 of them are white or black. so, because 15 goes into 45 3 times, you multiply 12/15 by 3 getting 36/ 45 meaning you will mostly pull 26 black or white marbles.
