Answer:
smallest number=626
middle number=628
larger number=630
Step-by-step explanation:
To find the numbers, let's use n as the variable. Since we know that the numbers are consecutive even numbers, we know that they increase by 2. For example, we could have 2+4+6=12.
Knowing that the consecutive numbers increase by two's, we can use this.
smallest number: n
middle number: n+2
larger number: n+4
All we have to do is add these together and set it equal to 1884.
n+(n+2)+(n+4)=1884 [combine like terms]
3n+6=1884 [subtract both sides by 6]
3n=1878 [divide both sides by 3]
n=626
Now that we know n=626, we also know that the other numbers are 626, 628, 630 respectively.
Answer: option c is the correct answer
Step-by-step explanation:
The rectangular garden has equal lengths and equal widths.
The area of the rectangular garden is expressed as length of the rectangular field × width of the rectangular field.
From the information given, the length if the rectangular field is 2x+4 while the width of the rectangular field is 4x−6. The area of the rectangular field becomes
Area = (2x + 4)(4x - 6)
Area = 8x^2 - 12x + 16x - 24
= 8x^2 + 4x - 24
Answer:
∠
°
Step-by-step explanation:
- The cosine of an angle is equal to the side adjacent to the angle over the hypotenuse, the longest side.
- We need to find the hypotenuse of this triangle. This is relativly easy to do with a right triangle; we can just use the Pythagorean Theorem.
- Pythagorean Theorem:
where 
, 
, and 
are the 3 different sides of a right triangle.
- Our hypotenuse is
. Now we can finish solving for ∠
.
∠°
