Answer:
CD = √11 and CE = √11
Step-by-step explanation:
We know that m∠D is 45° (by using the sum of interior angles in a triangle) so therefore, ΔDCE is a 45 - 45 - 90 triangle (the 45, 45, and 90 refer to the angle measures). The ratio of sides in a 45 - 45 - 90 triangle is 1 : 1 : √2 where the 1s are the sides and the √2 is the hypotenuse. We need to solve for x in x : x : √22. If you notice that √22 = √2 * √11, we can use this to find x, therefore, x = 1 * √11 = √11 so CD = √11 and CE = √11.
Answer:
Tom's share = €800
Step-by-step explanation:
Given that:
Amount shared by Al, Tom and Joe = €3000
Ratio of Al's share to Tom's share = 5 : 4
Joe's share = 1.5(Tom's share) = 1.5(4) = 6
Therefore,
Ratio of Al, Tom and Joe = 5 : 4 : 6
Let,
x be the number of times of amount each get.
5x + 4x + 6x = 3000
15x = 3000
Dividing both sides by 15
Tom's share = 4x = 4(200) = €800
Hence,
Tom's share = €800
Answer:
15
Step-by-step explanation:
2/3 simplified into decimal form would be .6666666666 repeating therefore if you divide 10 by 2/3 it can go in a total of 15 times fully
Subsitute -4y for x
-4y+6y=18
2y=18
divide both sides by 2
y=9
sub back
x=-4y
x=-4(9)
x=-36
(x,y)
(9,-36)
(1/3) cubed, since the equation for the volume of a cube is an edge, cubed
