Answer:
The answer to your question is l = 12 and w = 7/2 or 3.5
Step-by-step explanation:
Data
length = l
width = w
Area = 42 yd²
Process
1) Write equations that help to solve this problem
Area = length x width = l x w
Length = 2width + 5 or l = 2w + 5
2) Substitution
42 = lw Equation l
l = 2w + 5 Equation ll
42 = (2w + 5)w Substitute equation ll in l
3.- Expand
42 = 2w² + 5w
2w² + 5w - 42 = 0
Solve the equation by factoring
-Multiply 2 by 42
2 x 42 = 84
-Find the prime factors of 84
84 = 2² 3 7
-Find two numbers that added gives +5 using the prime factors
These numbers are +12 and -7
-Substitute the values in the equation
2w² -7w + 12w - 42
-Factor by grouping
w(2w - 7) + 6(2w - 7)
(2w - 7)(w + 6)
-Find w
2w₁ - 7 = 0 w₂ + 6 = 0
w₁ = 7/2 w₂ = -6 This value is discarted because
there are no negative values
-Find l
l = 2(7/2) + 5
l = 7 + 5
l = 12
Think of it like a triangle.
The flagpole is vertical and is at 90° to the ground. This makes a right-angle to the ground, which is flat.
Since we have two sides of the triangle already, and they are in a ratio of ?? : 16 : 20 = ?? : 4 : 5, that means that because the triangle is a right-angled triangle, the third and last side must be 3 to complete the ratio! (This is called 'Pythagoras')
Since the other sides were divided by 4 to get the simple ratio, we must multiply 3 to get the actual ratio!
3 × 4 = 12 ft tall flagpole.
I’m pretty sure it’s (3.63)
3.631923997916374
Answer:
The ratios are not equivalent
Step-by-step explanation:
First, in order to find the ratios, we have to change the month to the amount of days.
There are 30 days in April, so we will use this for the ratio.
The ratio for the 3 day weekend is 5:3
The ratio for the month of April is 60:30, which can be simplified to 2:1
So, the ratios are not equivalent, because 5:3 is not equal to 2:1
<u>Answer </u>
B. Vertex
<u>Explanation</u>
A vertex is the meeting point of two rays or lines. It is also defined as the point where two or more edges meet. The rays begin and go in two different directions from the vertex.
In geometry we can say that, it is where each angular point of a polygon, polyhedron, or other figure.