Answer:
The day would be 3.125 seconds longer in 25 centuries.
Step-by-step explanation:
Let's break it down.
Each year, 1250 microseconds are added to the planet's day.
We need to find how long a day would be in 25 centuries.
A century is 100 years.
A second is 1,000,000 microseconds.
The day would be 3.125 seconds longer in 25 centuries.
Vertical stretch/compression is achieved by multiplying the function by a certain constant:
In particular, if the function is vertically stretched by a factor k, otherwise, if , the function is vertically compressed by a factor k.
So, in your case, you want to multiply the function by 1/4:
There is one line segment
Answer:
333.29 cm3
Step-by-step explanation:
h-12
d-6
so r= 3
volume is Ab*h= 9 pi* 12= 108 pi which is around 339.29 cm3
if my answer helps please mark as brainliest.
<h3>
Answers:</h3>
x = 108
y = 36
z = 72
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Explanation:
Check out the diagram below. I have added letters of x, y and z in places to help find the values of y and z. Note the triangle on top is isosceles (since a regular polygon has all sides equal; therefore the triangle on top has the top diagonal sides equal).
Before we find either y or z, let's find x.
For any regular polygon, the interior angles are all the same measure. They sum to 180(n-2). In this case, n = 5, so the angles sum to 180(5-2) = 540. Each individual interior angle is 540/n = 540/5 = 108 degrees
x = 108
Another way to find this interior angle is to first find the exterior angle. For any convex polygon (regular or not), the exterior angles always add to 360. When we talk about regular polygons, each individual exterior angle is 360/n. So in this case, we have 360/5 = 72 as one exterior angle. The adjacent interior angle is therefore x = 180-72 = 108. So there are two ways to find the measure of an interior angle.
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Referring to the diagram, specifically the isosceles triangle on top, we can see that it has angles of x, y and y. They add to x+y+y = x+2y. Set this equal to 180, plug in x = 108 and solve for y
x+2y = 180
108+2y = 180
2y = 180-108
2y = 72
y = 72/2
y = 36
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The bottom most triangle is a congruent copy of the triangle on top. We have another isosceles triangle with the same side lengths as before. This triangle also has x, y and y as mentioned above.
Notice the adjacent angles of y and z in the bottom left corner. They must add to 108 as this was the measure of the interior angle of a regular pentagon. So,
y+z = x
36+z = 108
z = 108-36
z = 72