If Nigel has 66 pens and Kat has 1/3 pens of Nigels than you would have to find 1/3 of 66 which is 22
Then you would add 66+22=88
They have 88 pens altogether
Hope this helps :)
Sum of two sides of triangle always greater than third side, so third side (x) could be:
14 < x < 32
Answer:
C: 31 m/s
Step-by-step explanation:
It falls from a dam.
Thus;
Initial velocity; u = 0 m/s
Height; h = 49 m
Acceleration due to gravity is 9.8 m/s²
To solve for the final velocity this, we will use Newton's third equation of motion;
v² = u² + 2gh
v² = 0² + 2(9.8 × 49)
v = √960.5
v ≈ 31 m/s
Answer: 115°
Step-by-step explanation:
We should note that the sum of the angles that are in a triangle is equal to 180°, therefore we will add the angles given and equate them to 180°. This will be:
(8x - 5) + (2x) + (3x - 10) = 180
8x - 5 + 2x + 3x - 10 = 180
Collect like terms
8x + 2x + 3x = 180 + 5 + 10
13x = 195
x = 195/13
x = 15
The angles are:
8x - 5 = 8(15) - 5 = 120 - 5 = 115°
2x = 2(15) = 30°
3x - 10 = 3(15) - 10 = 45 - 10 = 35°
Therefore, the largest angle is 115°
