Answer:
456.63 gm
Step-by-step explanation:
formula to get density for any matter is given by density = mass / volume.
given
volume = 465 mm
density = 0.982 grams/mm
weight to find
lets plug these value in formula for density
0.982 = mass/465
=> mass = 0.982*465 = 456.63 gm
Thus, Weight of liquid to the nearest hundredth is 456.63 gm.
Answer:
I think it might be 30 degree which is acute
The surface area of a cylinder consists of the two circles on either end, and the curved area around the middle. The circles have radii of 1.5 inches, so an area of pi*r^2 = 3.14 * 1.5^2 = 7.065 square inches.
The curved area can be thought of as a rectangle, like a label wrapping round the cylinder. The length of the rectangle is 5 inches, and the width of the rectangle is the circumference of one of the circles, 2*pi*r = 2 * 3.14 * 1.5 = 9.42 inches. The area of the rectangle is 9.42 * 5 = 47.1 square inches.
Putting all that together, the surface area is 7.065 + 7.065 + 47.1 = 61.23 square inches.
Answer:
Step-by-step explanation:
<u>Use distance formula:</u>
- d = st, where d- distance, s - speed, t - time
a)
<u>Total distance is:</u>
<u>Solve for x:</u>
- 8x = 70 - 10y
- x = (70 - 10y)/8 = (35 - 5y) / 4
<u>Solve for y:</u>
- 10y = 70 - 8x
- y = (70 - 8x) / 10 = (35 - 4x) / 5
b)
<u>Average speed is:</u>
- s(av) = d / t = 70 / (x + y)
c)
<u>The second scenario:</u>
<u>Combine with the first one and solve the system:</u>
<u>Solve by elimination as below:</u>
- 5(10x + 8y) - 4(8x + 10y) = 5*72 - 4*70
- 50x + 40y - 32x - 40y = 360 - 280
- 18x = 80
- x = 40/9
<u>Find y:</u>
- 10*40/9 + 8y = 72
- 8y = 72 - 400/9
- 8y = 248/9
- y = 31/9
<span>So we want to know how many out of 1000 people dont listen to any type of the three music types that were surveyed If 30% of people listened to pop, 26% of people listened to rock and 20% of people listened country music. So first lets see how many people liked the three types of music: 30%+26%+20%=76%. So 24% of people didnt like the three types of music that were surveyed. Finally we need to see how many people in 1000 is 24%. 24% out of 1000 people is 0.24*1000=240 people. So 240 people didn't like the 3 types of music.</span>