Question 1 Unsaved In a poll of students at the basketball championship, 82% of the students say that basketball is better than
1 answer:
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We have to divide using long division.
__4
4| 19
16
3
The divisor becomes the denominator, the remainder becomes the numerator, and the quotient becomes the whole number.
So we have:
__4
4| 19
16
3
The divisor becomes the denominator, the remainder becomes the numerator, and the quotient becomes the whole number.
So we have:
Answer:
The new can can hold upto volume of 476.69 cubic centimeters.
Step-by-step explanation:
Diameter of the can = d = 6 cm
Radius of the can = r = 0.5d = 0.5 × 6 cm = 3 cm
Height of the can = h = 12 cm
Company wants to increase the dimensions of their cans by a multiple of 1.12. So, the new dimension will be:
r'= 3 cm × 1.12 = 3.36 cm
h' = 12 cm × 1.12 =13.44 cm
Volume of the = can = V
Volume of a cylinder =
The new can can hold upto volume of 476.69 cubic centimeters.
The ramp,the rise and the base, when illustrated, will form a right triangle. The hypotenuse is the ramp which measures 200 ft long. The rise is the vertical height which measures 37 feet. As you can see in the picture, the arc drawn below the ramp to the horizontal line directing to the freeways is the unknown angle that we have to find.
First, we find the angle made between the ramp and the rise (dashed line). Let's denote this is angle α. We make use trigonometric functions like cosine. Cosine of an angle is equal to the ratio of its adjacent side to the hypotenuse. In equation form:
cos α = 37/200, where α is the angle of inclination of the ramp
cos α = 0.185
α =cos^-1(0.185)
α = 79.34°
Next, let's denote the unknown angle as angle β. When you add the right angle and angle α, the sum would be angle β. Therefore,
β = 90° + 79.34°
β = 169.34°
First, we find the angle made between the ramp and the rise (dashed line). Let's denote this is angle α. We make use trigonometric functions like cosine. Cosine of an angle is equal to the ratio of its adjacent side to the hypotenuse. In equation form:
cos α = 37/200, where α is the angle of inclination of the ramp
cos α = 0.185
α =cos^-1(0.185)
α = 79.34°
Next, let's denote the unknown angle as angle β. When you add the right angle and angle α, the sum would be angle β. Therefore,
β = 90° + 79.34°
β = 169.34°