Answer:
look at explanation
Step-by-step explanation:
To solve all of these questions you just need to scale. While scaling you can divide or multiply.
1. 
(divide by 4 to get unit rate)
unit rate = 
2. If it takes one hour to travel 40 miles, then we don't have to scale or anything. We know 
, the answer is...
"It'll only take one hour to travel 40 miles. This is correct because the unit rate is . "
3. Knowing that the constant speed of the plane is 
, we can scale then add half of the unit rate to get our answer.
x 3 = 
800 x 3 = 2400
then add half of unit rate which is 
![\sqrt[2]{800}](https://tex.z-dn.net/?f=%5Csqrt%5B2%5D%7B800%7D)
= 400
so, our answer is 
4. 
<--- ( divided by 2) 
( multiplied x 2.5) ---> 
To get an easier way to find the answer, if possible you can scale back farther than the 1 hour mark.
Elmer would take 2 and a half hours to ride 15 km.
5. The boys speed is 
. All we need to do is divide by 2. ![\sqrt[2]{8}](https://tex.z-dn.net/?f=%5Csqrt%5B2%5D%7B8%7D)
= 4
Answer: T (The first option).
Step-by-step explanation:
1. By definition, coplanar points are three or more points that are in the same plane.
2. Based on this information, as you can see in the figure attached, the points A, C, D, E, S and U are coplanars because they are in the same plane, which is: ACDE.
3. Therefore, you can conclude that the point T is not coplanar with points A, C and D because this is not in the plane ACDE.
Answer:
16√3 cm²
Step-by-step explanation:
The perimeter of a triangle is the sum of its all three sides. Since this is an equilateral triangle, all sides are equal.
Let's consider one side of the triangle to be 'x'
Givent that, the perimeter is 24cm,
The equation should be x + x + x = 24
⇒3x = 24
∴ x = 8 cm
To find the area of the triangle, we need to find the height, and for that, we can use trigonometry.
Since it is an equilateral triangle, all angles are exact 60°.
let's draw a line and mark it as 'h'.
we can use sine formula to find out the opposite i.e. h
sin∅ = opposite ÷ hypotaneous
sin 60° = h ÷ 8
h = 8 sin 60°
h= 4√3
Now, let's find the area
Area = 1/2 × base × height
Area = 1/2 × 8 × 4√3
area= 16√3 cm²
Rewrite 5% as a decimal and then multiply by 60.
X = 0.05 x 60
A = {x ≥ 3}, B = {x ≤ 1}
So A∪B = {x ≥ 3 or x ≤ 1}
So for x ⊆(1,3), A∪B = ∅
Apparently, (1,3) covers the first option, a will be the answer
