ANSWER
The coefficient is 70.
EXPLANATION
The given binomial expression is
The specific term of a binomial expansion can be determined using the formula,
where
We substitute these values into the formula to get,
We simplify to get,
Hence the coefficient is 70.
Answer:
Can you add a picture to your question?
Step-by-step explanation:
Answer:
The altitude to the base of an isosceles triangle bisects the vertex angle of the triangle.
Step-by-step explanation:
Answer:
15.8 sq. in. of paper will be required.
Step-by-step explanation:
The problem is that a drinking cup does not have a cover, so only the lateral surface area counts.
I.e. We need only the first term.
A = pi r l = pi * 1.5 * sqrt(3^2+1.5^2)
= 15.81 sq. in.
Answer:
similar triangles
Step-by-step explanation:
First of all, what are similar shapes? Well, two shapes are similar if you can turn one into the other by moving, rotating, flipping, or scaling. That means you can make one shape bigger or smaller. In this case, we know that triangles ABC and DEF are mathematically similar. The area of triangles ABC is , so we need to know the area of triangle DEF.
From math, let's call the scaling factor, so we know that for any similar figures, the ratio of the areas of any are in proportion to . In other words, if is the area of triangle ABC, and is the area of triangle DEF, then we can write the following relationship:
