9514 1404 393
Answer:
when it is a rhombus
Step-by-step explanation:
A kite is a figure in which the diagonals are perpendicular, and one of them is bisected by the other. It will be a parallelogram if both diagonals bisect each other. Such a figure (with mutually perpendicular bisectors as diagonals) is a rhombus.
A parallelogram that is a rhombus will also be a kite.
Answer:
24 cm²
Step-by-step explanation:
The rectangular section on the right is 8 - 4 = 4 cm wide.
It is 3 + 1.5 = 4.5 cm tall.
The area of the rectangular section is ...
A = LW
A = (4.5 cm)(4 cm) = 18 cm²
__
The triangular section on the left is 4 cm wide and 3 cm high. Its area is ...
A = 1/2bh
A = 1/2(4 cm)(3 cm) = 6 cm²
The total shaded area is the sum of the areas of the triangular section and the rectangular section:
area = 18 cm² +6 cm² = 24 cm² . . . area of the figure
Answer:
x = -2i and x = 2i
x = 3 and x = - 3
Step-by-step explanation:
x^4 - 5x^2 - 36 = 0
let u = x^2 and substitute
we have:
u^2 - 5u - 36 = 0
(u - 9)(u + 4) = 0
u = 9 and u = - 4
substitute back for u
x^2 = 9
x = 3 and x = - 3
x^2 = -4 -- i am going to assume you've learned imaginary numbers; otherwise, you cannot take the square root of a negative number.
x = -2i and x = 2i
L = 6w
A = 216
A = lw
216 = (6w)(w)
216 = 6w^2
216/6 = w^2
36 = w^2
w = 6
l = 6(6)
l = 36
P = 2l + 2w
P = 2(36) + 2(6)
P = 72 + 12
P=84
Answer:
The cost of a box of crackers is $2.25.
Step-by-step explanation:
Let the cost of a containers of yogurt is $x and cost of a box of crackers is $y.
It is given that Mandy can buy 4 containers of yogurt and 3 boxes of crackers for $9.55.
.... (1)
She can buy 2 containers of yogurt and 2 boxes of crackers for $5.90.
.... (2)
On solving (1) and (2), using graphing calculator, we get
Therefore the cost of a box of crackers is $2.25.
