You can do:
-two trapezoids
-six triangles
-two parallelograms
You can't put it into one rectangle, that will definitely not work.
As you can see from the attachment, triangles work, trapezoid as well, and two parallelograms. The one rectangle would not work.
I hope this helps!
~kaikers
Answer:
y = 4x + 1
Step-by-step explanation:
Given the equation y = 4x - 2, we need to find the equation parallel to this line. Note that for two equations to be parallel to each other, the must have the same slope
Standard form of an equation is y = mx + b
Compare;
mx = 4x
m = 4
Since the slope of the given equation is 4, the required equation must also have a slope of 4
Since we are not given an option, we can assume any equation with a slope of 4
y = 4x + 1 will be parallel to the given equation since they both have the same slope
<em>Note that the equation can be different so far they have the slope of 4</em>
Answer:
The unit rate is 0. 14 miles per minute.
Hence, option a is correct.
Step-by-step explanation:
Given
Running of 5/4 a mile in 9 minutes.
To determine
The unit rate = ?
Given that the running 5/4 a mile in 9 minutes.
i.e.
Miles covered in 9 minutes = 5/4 or 1.25 miles
Miles covered in 1 minute = 1.25/9
= 0. 14 miles per minute
Therefore, we conclude that:
The unit rate is 0. 14 miles per minute.
Hence, option a is correct.
Answer:
Verified below
Step-by-step explanation:
We want to show that (Cos2θ)/(1 + sin2θ) = (cot θ - 1)/(cot θ + 1)
In trigonometric identities;
Cot θ = cos θ/sin θ
Thus;
(cot θ - 1)/(cot θ + 1) gives;
((cos θ/sin θ) - 1)/((cos θ/sin θ) + 1)
Simplifying numerator and denominator gives;
((cos θ - sin θ)/sin θ)/((cos θ + sin θ)/sin θ)
This reduces to;
>> (cos θ - sin θ)/(cos θ + sin θ)
Multiply top and bottom by ((cos θ + sin θ) to get;
>> (cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ)
In trigonometric identities, we know that;
cos 2θ = (cos² θ - sin²θ)
cos²θ + sin²θ = 1
sin 2θ = 2sinθcosθ
Thus;
(cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ) gives us:
>> cos 2θ/(1 + sin 2θ)
This is equal to the left hand side.
Thus, it is verified.
Answer: 36 intersections
Step-by-step explanation: