Step-by-step explanation:
hello,
the shape is a right trapezium.
you use the following formula:
area of a trapezium = ½ × sum of parallel sides× height.
or simply,
a = ½ ( a + b ) h
where a and b are the parallel sides
and h is the height.
thus,
a = ½ × ( 4 + 6 )× 4
a = ½ ( 10 ) × 4
a = 5 × 4
a = 20
have a great day! au revoir !
Answer:
12 units
Step-by-step explanation:
The formula for the volume of a cone is given as:
πr²h/3
The volume = 100π cubic units
Diameter = 10 units.
Radius = Diameter/2
= 10 units/2 = 5 units
Hence:
Formula to find the height of a cone
h = 3V/πr²
We substitute
h = 3 × 100π/π × 5²
h = 300π/25π
h = 12 units
The height = 12 units
9514 1404 393
Answer:
7 in
Step-by-step explanation:
For width w in inches, the length is given as 2w+1. The area is the product of length and width, so we have ...
A = LW
105 = (2w +1)w
2w^2 +w -105 = 0
To factor this, we're looking for factors of -210 that have a difference of 1.
-210 = -1(210) = -2(105) = -3(70) = -5(42) = -6(35) = -7(30) = -10(21) = -14(15)
So, the factorization is ...
(2w +15)(w -7) = 0
Solutions are values of w that make the factors zero:
w = -15/2, +7 . . . . . negative dimensions are irrelevant
The width of the rectangle is 7 inches.
The exponent for that would be 13^3.
If the answer is incorrect, then i am sorry.
Answer:
system 4.
Step-by-step explanation:
3x+6y=9
multiply by 2
6x+12y=18 ....(1)
-2x+-4y=4
multiply by 3
-6x-12y=12 ...(2)
add (1) and (2)
0+0=30
which is impossible .It has no solutions.
