Answer:
1 - c
2 - A
Step-by-step explanation:
Hey There!
So for the first one we are given the dimensions of a rectangular prism and they want us to find the volume
Remember to find the volume we use the equation
V = length x width x height
so we just plug in the values
v = 2.6 x 2.1 x 3.9 = 21.294
the closest is 20 so C is your answer
For the second one we are given a triangular prism
and they want us to find the volume

b = base (10.3)
l = length (4)
h = height (7)
7x4=28
28x10.3=288.4
then we divide by 2
288.4/2=144.2
so your selected answer is correct
Answer:
Ok, the domain is the set of values that we can input in a function.
In this case, we have:
y = Ix - 6I + 3.
Notice that there is no restriction here, x can actually take any value, then the domain will be the set of all real numbers.
The correct domain is x, x ∈ R
Now, if we had (for example) something like:
y = Ix - 6I < 3
Now we have a restriction in the domain because we can not have y equal or larger than 3.
To find the domain, we can break the absolute value:
Ix - 6I < 3
is equivalent to:
-3 < x - 6 < 3
now let's add 6 in each side.
-3 + 6 < x - 6 + 6 < 3 + 6
3 < x < 9
That will be the domain in that case.
P is the point (2,k)
PA = PB
PA = √(49 + (2-k)²) and PB = √(1 + (6 - k)²)
√(49 + (2-k)²) = √(1 + (6 - k)²) => (49 + (2-k)² = (1 + (6 - k)²
=> 49 + 4 - 4k + k² = 1 + 36 - 12k + k² => 8k = 37 - 53 = -16 => k = -2
The equation for this is a^2+b^2=c^2 so your equation would be 7^2+20^2=X
So you square the 7 and the 20 then take the square root of X and you get
X=21.19
:)
Answer:
160
Step-by-step explanation:
n : d : s
8 : 12 : 20
davina = 48 sweets
48/12 = 4
8 + 12 + 20 = 40
40 x 4 = 160 sweets total