Answer:
Basically you plug the numbers in. x=-2, so it would be 3(-4+1)^3. That can be simplified to -81, e. Please give Brainliesttt!!!!
Step-by-step explanation:
Answer:
Step-by-step explanation:
3/x = sin45
x = 3/sin45
x = 3 / ½(√2)
x = 3(2/√2)
x = 3((2√2)/2)
x = 3√2
Answer:
Option C. 12 by 15
Step-by-step explanation:
Let the length be L
Let the width be w
Area of rectangle = L x w
Perimeter of rectangular = 2 (L + w)
From the question given,
A = 180
P = 54
180 = L x w (1)
54 = 2(L + w) (2)
From equation (2),
54 = 2(L + w)
Divide both side by the 2
54/2 = L + w
27 = L + w
L = 27 — w (3)
Substituting the value of L into equation (1), we have:
180 = L x w
180 = w(27 — w)
180 = 27w — w^2
Rearrange the expression
w^2 — 27w + 180 = 0 (4)
Solving by factorization method:
Multiply the first term (i.e w^2) with the last term (i.e 180). This gives 180w^2. Now find two factors of 180w^2, such that their sum will result to the second (i.e —27w). These factors are —12w and —15w.
Now, substitute these factors (—12w and —15w) into equation (4)
w^2 — 27w + 180 = 0
w^2 — 12w —15w + 180 = 0
w(w — 12) — 15(w — 12) =0
(w — 12) (w — 15) = 0
w = 12 or w = 15.
Substituting the value of w into equation (3)
L = 27 — w
When w = 12
L = 27 — 12 = 15
When w = 15
L = 27 — 15 = 12
Since the length is longer than the width, the length is 15 and the width is 12.
Therefore the dimensions is 12 x 15
Answer:
Step-by-step explanation:
Given that there is a triangle XYZ with vertices (0, 0), Y(0, –2), and Z(–2, –2)
This triangle is rotated to form image triangle X'(0, 0), Y'(2, 0), and Z'(2, –2).
We find that origin remains the same.
Hence point of rotation is about the origin
Now (0,-2) is transformed to (2,0)
This is possible if point is rotated about origin anticlockwise a degree of 90
Let us check new coordinate of Z by anticlockwise rotation of 90
We get Z'(2,-2)
Hence the transformation is rotation about origin anticlockwise by degree 90
9514 1404 393
Answer:
₹172.25 at 4.5%
Step-by-step explanation:
The growth factor is the ratio of the values at the end and beginning of the second year:
multiplier = 188.10/180 = 1.045 = 1 + 4.5%
The amount put out is the amount at the end of the first year, divided by this growth factor.
P = A/(1+r) = 180/1.045 = 172.25
The sum put out is ₹172.25, and the rate of interest is 4.5%.
