The system of Inequalities that represents the possible number of cupcakes and cookies that Allison should buy is;
<em>a + b ≥ 40
</em>
<em>
a + 5 ≤ b
</em>
<em>
2.50a + 1.50b ≤ 105</em>
- We are told she desires to have at least 40 cupcakes and cookies combined.
We are told that;
a is the number of cupcakes
b is the number of cookies
Then this inequality is written as;
a + b ≥ 40
- Secondly, we are told she desires to have at most 5 more cupcakes than cookies.
Thus, the inequality would be;
a + 5 ≤ b
- Thirdly, we are told that cupcakes sell for $2.50 and cookies for $1.50
Therefore, the inequality is;
2.50a + 1.50b ≤ 105
In total, the 3 inequalities would be;
a + b ≥ 40
a + 5 ≤ b
2.50a + 1.50b ≤ 105
Read more at; brainly.com/question/19350665
Answer:
would it be acute
Step-by-step explanation:
From the de Moivre's we have,
<span>
(cosθ+isinθ)^n=cos(nθ)+isin(nθ)
</span><span>
Therefore,
</span><span>
R((cosθ+isinθ)^5)=cos(5θ)I((cosθ+isinθ)^5)=sin(5θ)
</span><span>
Simplifying,
</span><span>
cos^5(θ)−10(sin^2(θ))(cos^3(θ))+5(sin^4(θ))(cosθ)=cos(5θ) </span><span>
</span>
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the figure of the 3 triangles is not given.
However, I'll give a general tip on how to identify the types of triangles.
1. Right-angled
When one of the three angles of the triangle is 90 degrees, then that triangle is a right-angled triangle
2. Acute triangle
When all the three angles of the triangle are less than 90 degrees, then that triangle is an acute triangle
3. Obtuse triangle
When one of the three angles of the triangle is greater than 90 degrees, then that triangle is an obtuse triangle.
<em>See attachment for illustration</em>
Answer:
Step-by-step explanation:
Let be 
, which can be simplified solely by algebraic means. We proceed to describe all the steps needed for simplification:
1) Given.
2) 
Distributive and associative properties.
3) 
/Result
