Answer:
30
Step-by-step explanation:
Sum of ages= 40
Let the sons age be x
Fathers age = 3 times x or ,3x
So 3x+x=40
4x= 40
x= 40/4
= 10
Therefore the fathers age = 3x
= 3*10
= 30
0 0
0.5 12
1 16
1.5 12
Use the table to complete the statements.
The height of the soccer ball above the ground is symmetric about the line t =
second(s).
The ball landed on the ground at t =
second(s).
you can see that the height is the same at 0.5sec and 1.5 sec (12ft)
so therefore the height is symmetric about the line t=(midpoint of 0.5 and 1.5)
(0.5+1.5)/2=2/2=1
so the height is symmetric about the line t=1
the ball lands on the ground when height=0
since it is symmetric about t=1, and at t=0, the height is 0
1-0=1, so the difference between symmetry and desired height is 1
we must go in the oposite direction to find the next 0 height
so from symmetry to 0 height is 1+1=2, so at t=2 seconds
Answer:
6,12
Step-by-step explanation:
acute, because 6 + 10 > 12
obtuse, because 62 + 102 < 122
obtuse, because 6 + 10 > 12
The correctclassification for this triangle is:
obtuse, because 6² + 10² < 12²
Option C is the correct answer.
A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
To determine the classification of a triangle based on its sidelengths, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, we have a triangle with side lengths of 6 cm, 10 cm, and 12 cm. Checking the sum of the lengths of each pair of sides, we have:
6 + 10 = 16 > 12
6 + 12 = 18 > 10
10 + 12 = 22 > 6
Since all three pairs satisfy the triangleinequalitytheorem, the given side lengths do form a valid triangle.
Next, we can use the lawofcosines to determine the measure of the largest angle in the triangle, which will allow us to classify it.
The lawofcosines states that, for a triangle with side lengths a, b, and c, and the angle opposite c denoted as C, we have:
In this case, the sidelengths are a = 6 cm, b = 10 cm, and c = 12 cm. Substituting these values into the formula and solving for cos(C), we get:
cos(C) = (6² + 10² - 12²) / (2 x 6 x 10)
cos(C) = -1/5
Since the cosinefunction is negative for angles between 90 and 180 degrees, we know that angle C is obtuse.
Therefore,
The correctclassification for this triangle is:
obtuse, because 6² + 10² < 12²
Learn more about triangles here:
#SPJ7
Answer:
C
Step-by-step explanation:
use Pythagorean theorem
+ =
c is the longest side
if + > then it's acute (greater than)
if + < then it's obtuse (less than)
if they are equal, then its a right triangle
+ =
36 + 100 = 144
136 = 144
136 < 144 obtuse
60 pedazos.
15 pedazos.
45 pedazos.
Answer:
30 pedazos
Step-by-step explanation:
(15/2)/(1/4)
= (15*4)/(2*1)
= 60/2
= 30
the equation (y-3)^2 =4y-12
y = -7