Answer:
Well on of the properties states that unless there are parenthesis, you multiply and divide first then you add and subtract. So, first we multiply 28*4 and that leaves use with 112, now if there is no more multiplication, division, or parentheses, and there's not. We can continue all we do is add 18+112 and we get our answer of 130.
A rhombus has four equal sides. If the perimeter of this rhombus is 164, then the length of one side is 164/4, or 41.
Draw this rhombus. Label all four sides with "41." Label the longer diagonal 80 and the half length of that diagonal 40. You will see inside the rhombus four congruent triangles with hypotenuse 41, leg 10 and unknown height. Thus, this unknown height is found by solving x^2 + 40^2 = 41^2, and x^2=9, so that the length of the shorter diagonal is 2(2) = 18 (answer).
Answer:
C
Step-by-step explanation:
given a triangle with 2 sides and the angle between them given, then the area (A) is calculated as
A = 
bc sinA
the 2 sides are b = 4, c = 6 and ∠ A = 35° , then
A = × 4 × 6 × sin35° = 12 × sin35° ≈ 6.9 m² ( to the nearest tenth )
Both fractions have the same denominator so it's going to be easy. First set up your equation:
Add the whole numbers:
Now add the fractions:
add both together:
is an improper fraction so change it:
Since 6 is one more than 5, add 1 to the whole number and subtract the numerator and denominator(6 - 5 = 1) and make the remaining the new numerator. That leaves you with 
Your answer is
Answer:
The length is 28 and the width is 11
Step-by-step explanation:
To solve this problem, we can make the width as x.
Since the length is 5 less than 3 times the width, it's going to be 3x - 5
So now we've got the length and width, just need to find the perimeter, which is all the sides added up together. They already gave us the perimeter, so we just have to solve the equation:
2(3x - 5) + 2x = 78
6x - 10 + 2x = 78
8x - 10 = 78
8x = 88
x = 11
x = 11, but remember, x is the width, not the length. Since we already found what x is, we just have to plug it into the equation of:
3x - 5
3 × 11 - 5
33 - 5 = 28
Answer: Length = 28 (don't forget to add the unit if there is one)
