The answer to your problem is 66
Coterminal, first and foremost, means that it ends at the same point that another angle ends. So, we can say that angle M is equivalent to -620°. Now, we can all agree that a circle has 360° in it, so moving an angle 360° in either direction doesn't change where the angle ends, because it just moved one full trip around the circle, and is right back where it started. Overall, we need to put -620° in between 0° and 360° by adding 360° until it's between those two angles:
-620°+360° = -260°
-260°+360° = 100°
Now, 100° is between 0° and 360°, so we can say that angle M must be equal to 100°.
Explication étape par étape:
Compte tenu des expressions ';
A = 4 (x + 5) -8
B = x² + 15
Nous devons vérifier si A = B pour les deux valeurs de x à x = 1 et x = 3
à quand x = 1
A = 4 (1 + 5) -8
A = 4 (6) - 8
A = 24-8
A = 16
B = x² + 15
B = 1² + 15
B = 1 + 15
B = 16
Donc à quand x = 1, A = B = 16
quand x = 3
A = 4 (x + 5) -8
A = 4 (3 + 5) -8
A = 4 (8) - 8
A = 32-8
A = 24
B = 3² + 15
B = 9 + 15
B = 24
Également lorsque x = 3, A = B = 24
Cela montre que le postulat d'Emmas est juste.
Answer:
Length = 5 cm, width = 2 cm.
Step-by-step explanation:
If L is the length and W the width we have the equations:
LW = 10 <----- The area.
2L + 2W = 14 <------ The perimeter.
From the first equation L = 10/W so substituting for L in the second equation:
2 * 10/W + 2W = 14
20/W + 2W = 14 Multiplying through by W:
20 + 2W^2 = 14W
2W^2 - 14W + 20 = 0 Dividing by 2:
W^2 - 7W + 10 = 0
(W - 5)(W - 2) = 0
W = 5 or 2.
So W is either 2 or 5 cm.
Substituting W = 2 in LW = 10
L * 2 = 10
L = 5 cm.
The length is longer than the width so the length is 5 cm and the width = 2 cm.
The side length of the cube will only go up by a factor of 2.
Think about it like finding the volume of a cube in reverse:
If we multiply the left and right sides of this equation by 8:
And try to "distribute" the 8 by splitting it up into three 2's:
We can see the side length only doubles.
