Answer:
51 mph
Step-by-step explanation:
1734 miles
---------------- (per)
34 hours
you would divide. think of it as a fraction
1734
----
34
the numerator is miles and the denominator is hours. divide the numerator (the top number) by the denominator (the bottom number).
1734/34= 51
therefore, martino drove 51 miles per hour
Hope this helps!
Answer:
sin=0.945
cos=0.325
tan=2.902
Step-by-step explanation:
In a scientific calculator you simply enter "240°" then press cos/sin/tan after the degrees.
3a-12b=9 => a = 4b + 3; but, <span>4a-5b=3 => 4(4b + 3) -5b = 3 => 11b = -9 => b = -9/11 => a = -36/11 + 3 = -3/11;</span>
Answer:
The number of syringe filled with water that would be needed to fill the semi-sphere is approximately 8.714 syringes
Step-by-step explanation:
The height of the syringe = 6.8 cm
The diameter of the syringe = 2.37 cm
The circumference of the hemisphere = 31.4 cm
Let r represent the radius of the hemisphere, we have;
2·π·r = 31.4 cm
r = 31.4/(2 × π) ≈ 4.9975 cm
The volume of the hemisphere = 2/3 × π × r³ = 2/3 × π × (31.4/(2 × π))³ ≈ 261.4 cm³
The volume of the syringe = π × d²/4 × h = π × 2.37²/4 × 6.8 ≈ 29.998 cm³
The number of syringe filled with water that would be needed to fill the semi-sphere = (The volume of the hemisphere)/(The volume of the syringe)
Therefore;
The number of syringe filled with water that would be needed to fill the semi-sphere = 261.4 cm³/(29.998 cm³) ≈ 8.714 syringes.
Answer:
The solutions are (0, 4) and (0, -4)
Step-by-step explanation:
Solve this system using substitution:
Take the negative of the first equation and add the result to the second one:
-x^2 + y^2 = 16 becomes x^2 - y^2 = -16
Then:
x^2 - y^2 = -16
-2x^2 + y^2 = 16
------------------------
-x^2 = 0, so x must be 0.
By the first equation, if x = 0, -(0)^2 + y^2 = 16, or
y^2 = 16, or y = ±4
The solutions are (0, 4) and (0, -4)
