Answer:
3rd one and last one
Step-by-step explanation:
First one:
4 × 3 × 4 = 48
Second one:
1 × 2 × 4 = 8
Third one:
2 × 3 × 5 = 30
Fourth one:
2 × 5 × 4 = 40
Fifth one:
2 × 2 × 4 = 16
Process of elimination:
The first one is itself greater than 47 units³, so this is definitely not one of the two;
A combination of the fourth prism and the smallest one as the second will give a volume of 48 units³, which is greater than 47 so this prism is also not one of the two we are looking for;
This leaves the second, third and fifth;
The second and third sum to 38, which is less than 42 so it is not the correct combination;
Similarly, the second and last gives only 24 so it is not the correct combination;
This leaves the only remaining option of the third and fifth;
30 + 16 = 46, which confirms this to be the correct combination.
It's helpful to choose letters to represent the measures of these complementary angles. Let x represent one and y the other.
What does "complementary angle" mean? x + y = ??
Let x be the smaller angle. First, we take "half the measure of the larger angle," or (y/2). Then we subtract 6 degrees from this result (y/2). The result is the xmaller angle, x.
Now you have two equations in x and y. Solve for one of these angles, and then find the other. Please show your work.
Answer:
C. 3x^2 + 2x + 1
Step-by-step explanation:
A. 12^2 - (4*3*12) = 0 (there's one solution.)
B. (-3)^2 - (4*3*-18) = 255 (there're 2 real solutions.)
D. 3^2 - (4*0*-3) = 9 (there're 2 real solutions.)
C. 2^2 - (4*3*1) = -18 ✅✅
if b^2 - 4ac = negative then we can say that there isn't any real solution for the equation.
Answer:
Step-by-step explanation:
we have

Solve for x
That means ----> Isolated the variable x
Adds the constant term 5 both sides

----> variable terms isolated on one side and the constant terms isolated on the other side
Combine like terms
Divide by 3 both sides
Answer:
the value of given expression is 5
Step-by-step explanation:
if n = 11, then
- 10 + (-11+6)
- 10 + -5
- 10 - 5
- 5