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stepan [7]
3 years ago
8

A plane intersects a prism to form a cross section that is a polygon with five sides. The minimum number of sides that the polyg

on at the base of
the prism must have ls ..
Mathematics
1 answer:
antoniya [11.8K]3 years ago
4 0

Answer:

Since the plane if cutting through the prism to make 5 sides, than the original shape needs to have less than 5.

A prism, is a 3D shape, so you can't have a 2 sided shape.

Now you have a choice of 3+or 4 sides.

A 3 sides shape is a triangle, which also can't be cut into a 5 sided prism, so the answer would need to be 4.

Step-by-step explanation:

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Break apart and distribute to solve 72÷8
TiliK225 [7]
72 divided by 8 is 9
4 0
3 years ago
AB×6=BBB (playing with numbers.) <br>​
bekas [8.4K]

Answer:

A = 7

B = 4

Step-by-step explanation:

If u wanna know how i got this answer plz look at the comments below since it will delete my answer U-U

3 0
3 years ago
Help please!!!! Complete the following
sveta [45]
First, "graph" means graph of the given function f(x).  It is not necessary to include the graph with the question because at this level, either the user can "see" the graph mentally, or use technology (calculator or software) to graph the function.

(a) The Leading coefficient test for polynomial functions
The test is as follows.  The sign of the leading coefficient (LC, coefficient of the highest power of the variable) together with the degree (odd or even)  of the polynomial function tells us the end behaviour of the function according to the following table:

LC/degree     Even       Odd
Positive        +inf/+inf    -inf/+inf   
Negative       -inf/-inf     +inf/-inf

It can be easily memorized by comparing with a line or a parabola
y=x (positive leading coefficient, odd degree)  goes from -inf to +inf
y=x^2 (positive leading coefficient, even degree)  goes from +inf to +inf.
Any negative leading coefficient will just invert the signs.

For the given polynomial function
f(x) = x^2(x+2) = x^3+x^2
The leading coefficient is +1 (positive), and degree is three (odd)
So it behaves the same way as a straight line y=x, so the end behviours are
{-inf, +inf}  as x-> {-inf, +inf} respectively.

(b) x-intercepts
Since f(x)=x^2(x+2), the x-intercepts are x=0 (multiplicity 2) and x=-2.
=>
From the left, graph is increasing and crosses x=-2 once from negative to positive, after which graph is decreasing.  At x=0, because of the root with multiplicity 2, graph touches the origin (0,0) and turns back towards +inf.

(c) the y-intercept
from the polynomial f(x)=x^2(x+2)=x^3+x^2 = x^3+x^2+0,
we see that the y-intercept =0 because the "initial value" or the constant term is zero.

5 0
3 years ago
The weight of a product is normally distributed with a mean of four ounces and a variance of .25 squared ounces. What is the pro
ololo11 [35]

Answer:

P(X>3.75)=P(\frac{X-\mu}{\sigma}>\frac{3.75-\mu}{\sigma})=P(Z>\frac{3.75-4}{0.5})=P(z>-0.5)

And we can find this probability using the complement rule and we got:

P(z>-0.5)=1-P(z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X \sim N(4,\sqrt{0.25}=0.5)  

Where \mu=4 and \sigma=0.5

We are interested on this probability

P(X>3.75)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>3.75)=P(\frac{X-\mu}{\sigma}>\frac{3.75-\mu}{\sigma})=P(Z>\frac{3.75-4}{0.5})=P(z>-0.5)

And we can find this probability using the complement rule and we got:

P(z>-0.5)=1-P(z

5 0
3 years ago
The perimeter of a rectangle is 24 m. The length is 30 m less than five times the width. Find the dimensions of the rectangle. L
Len [333]

Answer:

<h2>width = 7 m</h2><h2>length = 5 m</h2>

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 24m

The statement

The length is 30 m less than five times the width is written as

l = 5w - 30

Substitute the expression into the above formula and solve for the width

That's

24 = 2( 5w - 30) + 2w

24 = 10w - 60 + 2w

84 = 12w

Divide both sides by 12

w = 7

Substitute this value into l = 5w - 30

That's

l = 5(7) - 30

l = 35 - 30

l = 5

Therefore the dimensions are

width = 7 m

length = 5 m

Hope this helps you

6 0
3 years ago
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