Answer:
Age of Mark is 25 years.
Step-by-step explanation:
Let the current age of Mark = x years
After 20 years, age of Mark=(x+20) years
10 years ago,age of Mark was (x-10) years.
In 20 years Mark will be three times as old as he was 10 years ago.
=> ![\[(x+20) = 3*(x-10)\]](https://tex.z-dn.net/?f=%5C%5B%28x%2B20%29%20%3D%203%2A%28x-10%29%5C%5D)
=> ![\[(x+20) = 3x-30\]](https://tex.z-dn.net/?f=%5C%5B%28x%2B20%29%20%3D%203x-30%5C%5D)
=> ![\[(3x-x) = 30+20\]](https://tex.z-dn.net/?f=%5C%5B%283x-x%29%20%3D%2030%2B20%5C%5D)
=> ![\[(2x) = 50\]](https://tex.z-dn.net/?f=%5C%5B%282x%29%20%3D%2050%5C%5D)
=> ![\[x = \frac{50}{2}\]](https://tex.z-dn.net/?f=%5C%5Bx%20%3D%20%5Cfrac%7B50%7D%7B2%7D%5C%5D)
=> ![\[x = 25\]](https://tex.z-dn.net/?f=%5C%5Bx%20%3D%2025%5C%5D)
Answer:
See Below.
Step-by-step explanation:
We can write a two-column proof.
<u>Statements:</u> <u>Reasons:</u>
<u />
Given
Given
Given
Definition of Midpoint
ASA Congruence
CPCTC
Answers:(1) Base
(2) Sector of a circle
(3) Radius
(4) Adjacent arcs
(9) 30
(13) 256 ft^2
(17) <span>4156.92 cm^2
Explanations:
(1) It's a common convention that you can choose any side of a triangle as a base, but in specific cases like in the right-angled triangle, the base should always be the adjacent leg with which the 90 degree angle is made. In other words, in the case of right-angled triangle, the two legs of a triangle must be perpendicular to one another (meaning make 90 degrees angle). But in general triangles you can choose any side as a base of a triangle.
(2) The image is attached below. As you can see that a sector of a circle is actually the region which is shaded. Two radii that meet at the end points of an arc yield a region within a circle know as "sector". Hence the correct fill in the blank is the "sector of a circle."
(3) </span><span>The radius of a regular polygon is the distance from the center to any </span>vertex<span>. It is the same for each and every vertex. The radius is also the radius of the polygon's </span>circumcircle, which is the circle that passes through every vertex. In this role, it is sometimes called the circumradius. Hence the correct answer is "radius."<span>
(4) Adjacent arcs in simple words are the arc that lie next to each other. They have one point in common being next to each other. Hence the correct answer is adjacent arcs. One interesting fact is that a circle is made up of very large number of adjacent arcs.
(9) As the hypotenuse is mentioned, it means that it is a right-angled triangle; therefore:
Area of a right angled triangle = 1/2 * base * height
</span>Area of a right angled triangle = 1/2 * 5* 12 =
30 ft^2<span>
(13) The picture consists of FOUR right-angled triangles (making a parallelogram) therefore the area would be:
Area = 4 * </span>1/2 * base * height
Area = 4 * 1/2 * 12.8* 10 = 256 ft^2
(17) The general formula for the area of a polygon is:
Area =
Where P = perimeter = 6a (hexagon)
=> a = P/6
Plug in the values
Area =
Answer:
At 12:18, eighteen minutes after noon, the number of bytes infected be the same in both computers.
Step-by-step explanation:
1. Lets name PC1 the first computer and PC2 the second computer, so, at noon 1 byte of PC1 is infected with the virus, that is:
PC1
Hour Bytes infected
12:00 1
Then, every minute thereafter, the number of bytes is multiplied by two, that is:
PC1
Hour Bytes infected
12:01 2
12:02 4
12:03 8
12:04 16
12:05 32
12:06 64
12:07 128
12:08 256
12:09 512
12:10 1024
12:11 2048
12:12 4096
2. In the minute 12 after noon, 1 byte of PC2 is infected, meanwhile PC1 has 4096 bytes infected as shown above, that is:
PC1 PC2
Hour Bytes infected Bytes infected
12:12 4096 1
And each minute thereafter, the number of bytes infected in PC2 multiplied by eight, that is:
PC1 PC2
Hour Bytes infected Bytes infected
12:13 8192 8
12:14 16384 64
12:15 32768 512
12:16 65536 4096
12:17 131072 32768
12:18 262144 262144
Therefore, at 12:18, eighteen minutes after noon the number of bytes infected be the same in both computers.
Answer:
7148.16 grams of iron
Step-by-step explanation:
If you have 16 moles of S8, you have 16*8 moles of iron at 55.845 g/mol Iron. 16*8mol*55.845 g/mol leads moles to cancel and leaves you at 7148.16 grams of iron
