1.What is the cross section formed by a plane that contains a vertical line of symmetry for a tetrahedron? a.triangle
b.square
c.rectangle
d.pentagon
5. What is the cross section formed by a plane that intersects three faces of a cube?
a.triangle
b.square
c.rectangle
d.pentagon

Answers

Answer 1
Answer:

1. Answer;

- Triangle

Explanation;

The cross section formed by a plane that contains a vertical line of symmetry for a tetrahedron is a Triangle.

A tetrahedron also a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.

2. Answers

- Triangle

Explanation;

The cross section formed by a plane that intersects three faces of a cube is a Triangle. A cross section is the shape we get when cutting straight through an object. The shape of the cross-section of a solid depends upon the orientation of the cutting plane to the solid.

Answer 2
Answer: 1. The cross section formed by a plane that contains a vertical line of symmetry for a tetrahedron is:
A ) triangle.
2. The cross section formed by a plane that intersects three faces of a cube is:
A ) triangle


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Use an area model to multiply (3x+7)(4x+5).
Fill in the blanks with the correct numbers.

Answers

Answer:

12^2 + 43x + 35

Step-by-step explanation:

(3x+7)(4x+5)

=(3x+7)(4x+5)

=(3x)(4x)+(3x)(5)+(7)(4x)+(7)(5)

=12x2+15x+28x+35

=12x2+43x+35

Cora uses ribbons to make three different sizes of bows.how much more ribbon does it take to make 2 large bows than 2 small bows? Explain how you found your answer.          Small 27 in large 49 in

Answers

2\ small\ bows:2\ *\ 27in=54in\n\n2\ large\ bows:2\ *\ 49in=98in\n\n98in-54in=44in\leftarrow answer

Kyle has 125 marbles. Fifty of these marbles are red and the reat are other colors. What is the ratio of the nunber of red marbles to the total of marbles expressed in simplest terms?

Answers

Answer:

The required simplest form is: (2)/(5)

Step-by-step explanation:

We have been given Kyle has 125 marbles.

And 50 out of total 125 are red and rest of them are other colours

that means other colour marble are 125-50=75

we need to find ratio of the number of red marbles to the total of marbles  

The ratio is: (50)/(125)=(2)/(5)

The required simplest form is: (2)/(5)

Answer:

Step-by-step explanation:

2/5

Help!!! Geometric series.

Answers

Not just any geometric series, but an infinite one. The rare taming of infinity.

Since the ratio r=2/5 is strictly between -1 and 1 the infinite geometric series converges. The first term is also a=2/5 so the sum is

S = (a)/(1-r) = (2/5)/(1 - 2/5) = \frac 2 3

Answer: 2/3

That formula isn't too hard to derive. We have

S = a + ar + ar^2 + ar^3 + ...

rS = ar +  ar^2 + ar^3 + ...

S-rS = a

S = (a)/(1-r)

f(x)=4 x^(3)+a x^(2) +bx+c and there is a local min at x=-1 and an inflection point at x=-2. Find the values of a and b

Answers

f'(x)=12x^2+2ax+b\n0=12\cdot(-1)^2+2a\cdot(-1)+b\n0=12-2a+b\n\nf''(x)=24x+2a\n0=24\cdot(-2)+2a\n2a=48\na=24\n\n0=12-48+b\nb=36\n\n\boxed{a=24,b=36}

Fyi everyone, random231 is awesomeFor a craft project, four students each chose three pieces of wire from a box.

Don’s wires measure 3 inches, 5 inches, and 12 inches.
Margo’s wires measure 6 inches, 8 inches, and 14 inches.
Sonji’s wires measure 12 inches, 8 inches, and 17 inches.
Liam’s wires measure 16 inches, 8 inches, and 27 inches.

Which student chose pieces that can be used to construct a triangle?

a. Don
b. Margo
c. Sonji
d. Liam

Answers

Answer:

C. Sonji

Step-by-step explanation:

Since, a triangle is possible if the sum of any two sides is greater than third side,

The measure of Don’s wires,

3 inches, 5 inches and 12 inches

Since, 3 + 5 < 12  

Thus, by the above statement we can not make a triangle with The measure of Don’s wires.

The measures of Margo's wires,

6 inches, 8 inches and 14 inches,

Since, 6 + 8 = 14,

⇒ we can not make a triangle with The measure of Margo's wires.

The measures of Sonji's wires,

12 inches, 8 inches, and 17 inches,

12 + 8 > 17,

8 + 17 > 12

12 + 17 > 8

we can make a triangle with the measure of Sonji's wires.

The measures of Liam’s wires,

16 inches, 8 inches, and 27 inches

16 + 8 < 27

⇒ we can not make a triangle with The measure of Liam’s wires.

Hence, option 'C' is correct.

your answer would be sonji's