<h2>
1. Pascal’s triangle</h2>
Pascal's triangle is an strategy in math that stands for a triangular array we use to solve problems of binomial coefficients. This strategy is called after the mathematician Blase Pascal. It consists in number patters. So in this problem we need to solve this following Pascal’s triangle strategy:
The strategy consists in building a triangle. So 1 is the first and last numbers in each row of Pascal’s Triangle. Next, every other number in each row is formed when you add the two numbers directly above the number, as shown in Figure below. So:
<h2>
1. Binomial Expansion</h2>
A binomial is a polynomial having two terms. So binomial expansion is a method that stands for a formula that gives us a quick method of raising a binomial to a power. So, for n=3, the binomial expansion can be written as:
It will take Mary 6 1/4 hours to walk 25 miles at this rate.
Divide the total number of miles by the number of miles per hour.
25/4 hours
This fraction cannot be simplified, but it can become a mixed number.
6 1/4 hours
Answer:
x = 15
x = 15
The answers should be the same because the triangles are similar. The ratio of the sides are in the same proportion.
Step-by-step explanation:
a. x 12
------- = --------------
20 16
using cross products
x*16 = 20 * 12
16x = 240
divide by 16 on each side
16x/16 = 240/16
x = 15
b x 6
------- = --------------
20 8
using cross products
x * 8 = 6 * 20
8x = 120
divide each side by 8
8x/8 = 120/8
x = 15
c. The answers should be the same because the triangles are similar. The ratio of the sides are in the same proportion.
Answer:
n is 20
Step-by-step explanation:
If n/8=2.5, then you can just do 8*2.5 to find n. 2.5*8=20
Answer:
Distance from point AA to point BB = 189.3 feet
Step-by-step explanation:
Let the distance from point AA to the base of the lighthouse be represented by x, and the distance from point BB to the base of the lighthouse be represented by y. So that;
distance from point AA to point BB = x - y
To determine the value of x, applying the required trigonometric function;
Tan θ = 
Tan 13 = 
x = 
= 441.81 feet
x = 441.8 feet
To determine the value of y;
Tan 22 = 
y = 
= 252.46
y = 252.5 feet
Thus,
distance from point AA to point BB = 441.8 - 252.5
= 189.3 feet
