Please help if you would be so kind, it’s geometry:

Mathematics

1 answer:

maks197457 [2]3 years ago

8 0

Answer:

Step-by-step explanation:

x+(4x-8)+(x+8) = 180

x = 30

∠C = x+8 = 38°

height = 7sin38°

area =0.5·13·7sin38° ≅ 28.0126 cm²

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An hourglass consists of two sets of congruent composite figures on either end. Each composite figure is made up of a cone and a

belka [17]

Answer: third option 268.8

Explanation:

For this kind of proble it is very important that you attach the figure because it contains important information to understand the question.

I have attached the figure for better understanding.

1) The top portion (and the bottom is congruent but rotated 180°) of the hourglass is a figure equivalent to a cylinder on top and a cone on bottom.

So the total volume contained in the top portion is the volume of a cylinder + the volume of a cone.

This is how you calculate the volume of the top portion:

1) The height of the cylinder is 54 mm - 18 mm = 36 mm

2) The formula for the volume of a cylinder is V = π (radius)^2 * height

radius = 8 mm
height = 36 mm

=> V = π(8mm)^2 * 36 mm = 2304π (mm)^3

3) The formula for the volume of a cone is V = (1/3)π(radius)^2 * height

radius = 8 mm
height = 18 mm

V = (1/3)π(8mm)^2 * 18 mm = 384π (mm)^3

4) The total volume of the top portion is volumen of the cylindrical part + voume of the cone:

Total voluem = 2304π (mm)^3 + 384π (mm)^3 = 2688π (mm)^3

5) To find the number of seconds <span>it take until all of the sand has dripped to the bottom of the hourglass you have to divide the total volumen of sand by the rate:

time in seconds = total volume of sand / rate of dripping

time in seconds = [2688 π (mm)^3 ] / [10π (mm)^3 / s] = 268.8 s

That is the answer: 268.8 s
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4 0

4 years ago

Read 2 more answers

Find the value of X<br> PLEASE HELP ASAP!!!!!

MAVERICK [17]

Answer:

-10

Step-by-step explanation:

the upper right is the same (105°), therefore the left 75°

now you have 180 = 75 + x + 115

therefore: -10

6 0

3 years ago

How to calculate the distance for graphs?

ollegr [7]

Answer:

$\sqrt{(x1-x2)^{2}+(y1-y2)^{2} }$

Step-by-step explanation:

This is the distance formula for cartesian coordinate systems, or your typical xy graph. If given two points to find the distance between, you can assign '1' or '2' to the points, i.e. (1,1) and (2,2) could be: (1,1) is (x1,y1) and (2,2) is (x2,y2). It doesn't matter which point is 1 or 2. If we were to use those example points in this formula, we would have:

$\sqrt{(1-2)^{2}+(1-2)^{2}}$