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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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1.<br> (3x + y = 5<br> (x-4y=32
chubhunter [2.5K]

Answer:

13x=52

x=14

y=-37

plz mark brainliest

8 0
3 years ago
Read 2 more answers
Help me please, Find a, b, and c.
Mama L [17]

Answer:

a = 6*\sqrt{3}

b = 12

c = 6\sqrt{2}

Step-by-step explanation:

Since the triangles are right triangles with 60 and 45 degree angles, their side lengths follow special triangles.

A 45-45-90 right triangle has side lengths 1-1-\sqrt{2}.

A 30-60-90 right triangle has side lengths 1 - \sqrt{3} -2.

Starting with the top triangle which has a 60 degree angle, its side length 6 corresponds to a side length of 1 in the special triangle. It is 6 times bigger so its remaining sides will be 6 times bigger too.

Side a corresponds to side length \sqrt{3}. Therefore, a = 6*\sqrt{3}.

Side b corresponds to side length 2, b = 2*6 = 12.

The bottom triangle has a 45 degree angle, its side length b= 12 corresponds to \sqrt{2}. This means \sqrt{2} was multiplied by 12 = \sqrt{2} * \sqrt{72}. This means that side c is \sqrt{72}=6\sqrt{2}.

3 0
3 years ago
Read 2 more answers
CosA×cos2A+sinA×sin2A=cos (2A-A)​
Aleksandr-060686 [28]

Answer:

csc

A

, as desired!

Step-by-step explanation:

cos

2

A

sin

A

+

sin

2

A

cos

A

,

=

cos

2

A

cos

A

+

sin

2

A

sin

A

sin

A

cos

A

,

=

cos

(

2

A

−

A

)

sin

A

cos

A

,

=

cos

A

sin

A

cos

A

,

=

1

sin

A

,

=

csc

A

, as desired!

7 0
3 years ago
Quadratics need help making parabola
timama [110]

Answer:

The equation of the parabola is y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4, whose real vertex is (x,y) = (2, -5.333), not (x,y) = (2, -5).

Step-by-step explanation:

A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:

(x_{1}, y_{1}) = (-2, 0), (x_{2}, y_{2}) = (6, 0), (x_{3}, y_{3}) = (0, -4)

From definition of second order polynomial and the three points described above, we have the following system of linear equations:

4\cdot a -2\cdot b + c = 0 (1)

36\cdot a + 6\cdot b + c = 0 (2)

c = -4 (3)

The solution of this system is: a = \frac{1}{3}, b = - \frac{4}{3}, c = -4. Hence, the equation of the parabola is y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4. Lastly, we must check if (x,y) = (2, -5) belongs to the function. If we know that x = 2, then the value of y is:

y = \frac{1}{3}\cdot (2)^{2}-\frac{4}{3}\cdot (2) - 4

y = -5.333

(x,y) = (2, -5) does not belong to the function, the real point is (x,y) = (2, -5.333).

5 0
3 years ago
Factor -1/3 out of -1/3x - 12
zaharov [31]

Answer:

-1/3(x+36)

Step-by-step explanation:

4 0
3 years ago
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