Write an equation in slope-intercept form of the line passing through a given point and having the given slope m=-3 through (1,9
1 answer:
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Answer:
3
Step-by-step explanation:
P is the in-center
⇒PA=PE=PD because they are in-radius of the in-circle
We know that, tangent segments drawn from a point outside the circle are always equal in length
⇒DK=EK=7.2
In right triangle PKE,
using Pythagoras' Theorem :
⇒
⇒
⇒
⇒
Therefore,
Answer:
27 small cubes
Step-by-step explanation:
Given that,
The volume of the large cube is
The volume of small cube is
We need to find how many small cubes make up the large cube. Let there are n small cubes. So, it can be calculated as follows :
So, there are 27 small cubes that make up of the large cube.
Answer:
9 pm on a Sunday, 55 .5 days before
Step-by-step explanation:
if there were 6 bacteria initially and from the growth rate we noticed that it doubled every 3 hours
because by 9 am Monday morning there were 5328 bacteria and then by 12 noon (3 hours later), there were 10, 656 bacteria
what we need to know is how long did it take 6 bacteria to become 5328
so
if 6 bacteria = 1 hour
12 bacteria = 3 hours
24 bacteria = 6 hours
then
5328 bacteria = x hours
taking the ratio
we need to now convert this into hours
so we divide by 24
so
9 am 55.5 days before should fall on a Sunday
The value of the cosine function is -0.385
<h3>How to determine the measure of the cosine function?</h3>The figure that completes the question is added as an attachment
From the figure, we have the following sides
AB = √13
AC = 3
BC = 2
The triangle is a right triangle.
The angle B is calculated as:
cos(B) = 2/√13
Evaluate
cos(B) = 0.5547
Take the arccos of both sides
B = 56.31
This means that:
cos(ABC) = cos(56.31)
Multiply ABC by 2.
So, we have:
cos(ABC * 2) = cos(56.31 * 2)
Evaluate the product
cos(ABC * 2) = cos(112.62)
Evaluate the cosine
cos(ABC * 2) = -0.385
Hence, the value of the cosine function is -0.385
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