Using the combination formula, it is found that the integers can be chosen in 870 ways.
<h3>What is the combination formula?</h3>
is the number of different combinations of x objects from a set of n elements, given by:
The resulting sum will be even if both numbers are even(2 from a set of 30) or if both numbers are odd(also 2 from a set of 30), hence:
The integers can be chosen in 870 ways.
You can learn more about the combination formula at brainly.com/question/25821700
The 1st stage: x, the 2nd stage: y.
x + y = 152
x = y + 28
y + 28 + y = 152
2 y = 152 - 28
2 y = 124
y = 124 : 2 = 62
x = 62 + 28 = 90
Answer: the first stage burns 90 seconds and the second burns 62 seconds.
Answer:
$2.75
Step-by-step explanation:
11÷4 = 2.75
so 1 pumpkin is $2.75
Like the given triangle is an isosceles triangle, the value of ∠ABC is 72°.
<h3>Types of Triangles</h3>
There are 3 main classifications for triangles refer to its sides.
- Equilateral triangle - This triangle presents all sides with the same dimensions and the all angles equal to 60°.
- Isosceles triangle - This triangle presents two sides with the same dimensions and it has two angles with equal size.
- Scalene triangle - This triangle presents all sides with different dimensions and it has all angles no equal size.
The figure shows that the given triangle is an isosceles triangle because it has two equal sides (AB=AC). If it is an isosceles triangle, this triangle presents two sides with the same dimensions (AB=AC). and it has two angles with equal size(∠ACB=∠ABC).
Knowing the sum internal angles of triangle is 180°. You can write:
3x+6x+6x=180
15x=180
x=12
Like ∠ABC=6x, then ∠ABC=6*12=72°.
Read more about the types of triangles here:
brainly.com/question/24265179
