For rhombus A:
base = 7 in
area = 35 in²
Area of rhombus = b * h
⇒ 35 = 7 * h
⇒ h = 35/7
⇒ h = 5 in
Rhombus B:
height = 3*5 = 15 in
base = 7*3 = 21 in
Area = 15 * 21 = 315 in
Area of rhombus B is 9 times area of rhombus A. When the dimensions are increased to 3 times the initial dimension, area became 9 times.
Integers are whole numbers. U can use it to represent data by using the negative and positive signs.
Answer:
see below
Step-by-step explanation:
You will need the hypotenuse 12 ^2 + 9^2 = h^2 h = 15
In a right triangle:
S O H C A H T O A
sin s = S A H = Opposite / Hypotenuse = 12/15
cos r = C A H = Adjacent / Hypotenuse = 12/ 15
Tan s = T O A = 12 / 9
cos (theta) = cos s = 9 / 15
Tan r = 9/12
arc cos(theta) = theta = arccos(9/15) = 53.13 degrees
Answer:
The answer to your question is below
Step-by-step explanation:
Side 1: 3x² - 2x - 1
Side 2: 9x + 2x² - 3
Perimeter: 5x³ + 4x² - x - 3
a) Length of side 1 and side 2
Length = (3x² - 2x - 1) + (9x + 2x² - 3)
= 3x² - 2x - 1 + 9x + 2x² - 3
= (3x² + 2x²) + (-2x + 9x) + (-1 - 3)
= 5x² + 7x - 4
b) Length of the third side
Third side = Perimeter - side 1 - side 2
Third side = 5x³ + 4x² - x - 3 - (5x² + 7x - 4)
Third side = 5x³ + 4x² - x - 3 - 5x² - 7x + 4
Third side = 5x³ + (4x² - 5x²) + (-x - 7x) + (-3 + 4)
Third side = 5x³ - x² - 8x + 1
c) Yes, in this problem we did both operations (addition and subtraction) and we can notice that the polynomials are closed. Also they follow the closure property the addition or subtraction of two polynomials gives another polynomial.
The answer is B.
~Hope that helped!~
~Izzy <3~
