Answer: 35.328 cubic inches.
Step-by-step explanation:
Volume of square pyramid = 
, where a = length of base , h = height
Given: For a square pyramid
a= 4.8 cm and h = 4.6
Then, Volume = 
Hence, the volume of a pyramid with a square base = 35.328 cubic inches.
Answer: 22.55 mph
Step-by-step explanation:
Let the speed of the train be n
4 × 62 = 248 which is the distance travelled by the car in 4 hours and the train travelled in 11 hours
11 × n = 248
11n = 248
n = 248/11
n = 22.55mph
Answer:
Mia's test score is 44 if she got 3 questions wrong.
Mia's test score is (50-2x) if she got x questions wrong.
Step-by-step explanation:
It is given that, Mia is taking a multiple choice test with a total of 50 points available. Each question is worth exactly 2 points.
If she got 3 questions wrong, then
Deducted marks 
Marks obtained by Mia = Total marks - Deducted marks
So, Mia's test score is 44 if she got 3 questions wrong.
If she got x questions wrong, then
Deducted marks 
Marks obtained by Mia = Total marks - Deducted marks
So, Mia's test score is (50-2x) if she got x questions wrong.
9514 1404 393
Answer:
23) x = ±3i, ±√2
26) x = 4/3, (-2/3)(1 ± i√3)
Step-by-step explanation:
23) Put in standard form to make factoring easier.
x^4 +7x^2 -18 = 0
(x^2 +9)(x^2 -2) = 0 . . . . factors in integers
Using the factoring of the difference of squares, you can continue to get linear factors in complex and irrational numbers:
(x -3i)(x +3i)(x -√2)(x +√2) = 0
x = ±3i, ±√2
___
26) This will be the difference of cubes after you remove the common factor.
81x^3 -192 = 0
3(27x^3 -64) = 0
(3x -4)(9x^2 +12x +16) = 0 . . . . . factor the difference of cubes
The complex roots of the quadratic can be found using the quadratic formula.
x = (-12 ±√(12^2 -4(9)(16)))/(2(9)) = (-12 ±√-432)/18 = -2/3 ± √(-4/3)
Then the three solutions to the equation are ...
x = 4/3, (-2/3)(1 ± i√3)
Answer: Mays throw was 9.67 feet farther than Roberts.
