Answer:
box 1: monomial
box 2: binomial
Step-by-step explanation:
reasoning: Box 1’s volume is modeled by a monomial times a monomial, so it will be a monomial.
Box 2’s volume is modeled by a monomial times a binomial, so it will be a binomial.
Answer:
see explanation
Step-by-step explanation:
Using the Cosine rule
a² = b² + c² - 2abcosA ← Rearranging for cosA gives
cosA = 
(a)
let a = 10, b = 7, c = 8 and A = α, then
cosα =
=
=
, thus
α =
(
) ≈ 83° ( to the nearest degree )
(b)
let the angle opposite side 7 be x
Using the Sine rule
=
( cross- multiply )
10sinx = 7sin83 ( divide both sides by 10 )
sinx =
, thus
x =
(
) = 44°
The third angle can be found using the sum of angles in a triangle
third angle = 180° - (83 + 44)° = 180° - 127° = 53°
The 3 angles are 83°, 44°, 53°
Answer:
144°, 144°, 36°, 36°.
Step-by-step explanation:
Take shorter angle = x
Then the bigger angle = 4x (4 times the other angle)
In a parallelogram, there are 4 angles. Also, in a parallelogram opposite angles are equal to each other.
So,
1 angle = x
2 angle = 4x
3 angle = x
4 angle = 4x
The sum of all 4 angles in a parallelogram = 360°. So,
4x + x + 4x + x = 360°
10x = 360°
x = 360/10
x° = 36°
4x = 36 × 4 = 144°
Angles in the parallelogram = 144°, 144°, 36°, 36°.
Hope it helps ⚜
Answer:
The system don't have a unique solution
Step-by-step explanation:
We define the problem in different variables:
Dried Fruit is going to be x
Almonds are going to be y
So, in this new terms we have that a small bag (S) and a large bag ( L) are going to be represented by:
- 3x+4y=S
- 4
x+6y=L
If we multiply both sides of the first equation by 1.5 we got this:
- 4
x+6y=1.5S - 4
x+6y=L
Therefore we can notice that the system of equations has an unlimited number of soltions because is a consistent and dependent system.
Answer:
22 ft
Step-by-step explanation:
10*2.2 +22. simple as that