Answer-
The number is 5
Explanation-
let the number be x
according to the condition
2x-(x-7)= 12
2x-x+7=12
x+7=12
x+7-7=12-7
x=5
therefore the required number is 5
Answer:Area = 492.4 m²
Explanation:The area of the triangle can be calculated using the side-angle-side method as follows:
Area = 0.5 * first side * second side * sin(angle included between these two sides)
This rule is illustrated in the attached image.
Now, we have:
AB = 40 m
BC = 25 m
angle B which is the angle included between AB and BC = 80 degrees
The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.
Area of triangle = 0.5*40*25*sin(80)
Area of triangle = 492.4 m²
Hope this helps :)
Answer:

Step-by-step explanation:
we are given equation as

Since, we have to solve it by using complete square
so, firstly we will complete square
and then we can solve for x
step-1:
Factor 2 from both sides

step-2:
Simplify it

step-3:
Add both sides 3^2

now, we can complete square

step-4:
Take sqrt both sides

step-5:
Add both sides by 3
we get

Answer:
<h2>LCD = 9</h2>
Equivalent Fractions with the LCD
1/3 = 3/9
5/9 = 5/9
Solution:
Rewriting input as fractions if necessary:
1/3, 5/9
For the denominators (3, 9) the least common multiple (LCM) is 9.
LCM(3, 9)
Therefore, the least common denominator (LCD) is 9.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
1/3 = 1/3 × 3/3 = 3/9
5/9 = 5/9 × 1/1 = 5/9
Answer: C. She is dividing the entire length into shorter lengths.
The rest of the question would be "How many pieces will she get?"
Step-by-step explanation:
A would be a subtraction problem UNLESS it goes on to ask "how many 1/3 yard pieces can she cut?"
It's a subtraction problem if it's about "how many yards are left?"
B is just backwards and makes no sense with the expression given.