Find y..........................................................................................................................

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Mathematics

1 answer:

Tcecarenko [31]3 years ago

4 0

$sin30 = \frac{o}{h} \\ sin30 = \frac{5}{x} \\ x = \frac{5}{0.5} \\ x = 10$

${10}^{2} + {10}^{2} = {y}^{2} \\ 100 + 100 = {y}^{2} \\ 200 = {y}^{2} \\ \sqrt{200} = y \\ 14.14 = y\\$

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Suppose you by a 1.25 pound package of ham at $5.20 per pound

marishachu [46]

I suppose I can do that and end up spending 6.50$?

1.25 x 5.20 = 6.50 final amount due.

6 0

3 years ago

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 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

4 0

3 years ago

Read 2 more answers

14(a + 2) = 168 find a

valkas [14]

$\bold\red{Answer:}$

14a+28=168

14a=140

a=10

hope it helps

8 0

3 years ago

Which is another way to check the sum of 104+34+228+877?

Alex787 [66]

The answer is digit sum method.

Digit sum method is method used to check the sum of sum numbers. If the sum of all of the digits of numbers is equal to the sum of all of the digits of the total sum, then the arithmetic process was correct.

We need to check the sum of 104+34+228+877:
104 + 34 + 228 + 877 = 1243

Let's first summarize the digits of individual numbers:
104 *** 1 + 0 + 4 = 5
34 *** 3 + 4 = 7
228 *** 2 + 2 + 8 = 12 *** 1 + 2 = 3
877 *** 8 + 7 + 7 = 22 *** 2 + 2 = 4

Now, let's sum these sums:
5 + 7 + 3 + 4 = 19 *** 1 + 9 = 10 *** 1 + 0 = 1

Then, let's summarize the digits of the total sum:
1243 *** 1 + 2 + 4 + 3 = 10 *** 1 + 0 = 1

Since the sums of the digits on the both sides of equation is 1, than the arithmetic process was correct and the sum of 104 + 34 + 228 + 877 is really 1243.

7 0

3 years ago

Evaluate the expression:–|20| + |5|

Svetradugi [14.3K]

-|20| + |5| = -15

Steps:
Apply absolute rule: |a| = a, a >/ 0
|20| = 20
= -20+5
Apply absolute rule: |a| = a, a >/ 0
|5| = 5
= -20+5
Refine
= -15

Hope this helps you! (:
-Hamilton1757

3 0

3 years ago