All categories

2 years ago

What polyhedron can be formed from a net diagram that has 2 congruent hexagons and 6 congruent rectangles?

Mathematics

2 answers:

leva [86]2 years ago

5 0

Answer:

A. hexagonal prism

Step-by-step explanation:

The top and bottom must be 2 congruent hexagons, the hexagon has 6 sided figure, so there must be 6 congruent rectangle faces.

Therefore, the answer is A. Hexagonal prism.

Hope this will helpful.

Thank you.

Harman [31]2 years ago

3 0

Answer A. Hexagonal prism.

The base of this polyhedron is a hexagon, the sides are six congruent rectangles and the top is a hexagon identical to the base.

You might be interested in

A number is chosen at random from 1 to 10. Find the probability of selecting factors of 4 and factors of 6

disa [49]

4,6,8 because 4 times 2 is 8 and 6 times 1 equals 6 and 1 times 4 equals 4

5 0

3 years ago

Given the function f(x) = x^4 + 3x^3 - 2x^2 - 6x - 1, use intermediate theorem to decide which of the following intervals contai

marta [7]

$f(x) = x^4 + 3x^3 - 2x^2 - 6x - 1$

Lets check with every option

(a) [-4,-3]

We plug in -4 for x and -3 for x

$f(-4) = (-4)^4 + 3(-4)^3 - 2(-4)^2 - 6(-4) - 1= 55$

$f(-3) = (-3)^4 + 3(-3)^3 - 2(-3)^2 - 6(-3) - 1= -1$

f(-4) is positive and f(-3) is negative. there is some value at x=c on the interval [-4,-3] where f(c)=0. so there exists atleast one zero on this interval.

(b) [-3,-2]

We plug in -3 for x and -2 for x

$f(-3) = (-3)^4 + 3(-3)^3 - 2(-3)^2 - 6(-3) - 1= -1$

$f(-2) = (-2)^4 + 3(-2)^3 - 2(-2)^2 - 6(-2) - 1= -5$

f(-2) is negative and f(-3) is negative. there is no value at x=c on the interval [-3,-2] where f(c)=0.

(c) [-2,-1]

We plug in -2 for x and -1 for x

$f(-2) = (-2)^4 + 3(-2)^3 - 2(-2)^2 - 6(-2) - 1= -5$

$f(-1) = (-1)^4 + 3(-1)^3 - 2(-1)^2 - 6(-1) - 1= 1$

f(-2) is negative and f(-1) is positive. there is some value at x=c on the interval [-2,-1] where f(c)=0. so there exists atleast one zero on this interval.

(d) [-1,0]

We plug in -1 for x and 0 for x

$f(-1) = (-1)^4 + 3(-1)^3 - 2(-1)^2 - 6(-1) - 1= 1$

$f(0) = (0)^4 + 3(0)^3 - 2(0)^2 - 6(0) - 1= -1$

f(-1) is positive and f(0) is negative. there is some value at x=c on the interval [-1,0] where f(c)=0. so there exists atleast one zero on this interval.

(e) [0,1]

We plug in 0 for x and 1 for x

$f(0) = (0)^4 + 3(0)^3 - 2(0)^2 - 6(0) - 1= -1$

$f(1) = (1)^4 + 3(1)^3 - 2(1)^2 - 6(1) - 1= -5$

f(0) is negative and f(1) is negative. there is no value at x=c on the interval [0,1] where f(c)=0.

(f) [1,2]

We plug in 1 for x and 2 for x

$f(1) = (1)^4 + 3(1)^3 - 2(1)^2 - 6(1) - 1= -5$

$f(2) = (2)^4 + 3(2)^3 - 2(2)^2 - 6(2) - 1= 19$

f(-4) is positive and f(-3) is negative. there is some value at x=c on the interval [-4,-3] where f(c)=0. so there exists atleast one zero on this interval.

so answers are (a) [-4,-3], (c) [-2,-1], (d) [-1,0], (f) [1,2]

8 0

3 years ago

Read 2 more answers

As shown in the figure , a metal cube of side 6 cm is melted and recast into a triangular prism . Find the height of the triangu

vivado [14]

Answer:

I believe it is 6.

Step-by-step explanation:

3 0

3 years ago

5) Lee's model airplane flies at 18 miles per hour. Lee took the plane to a field in windy weather. It took six minutes to fly 2

kap26 [50]

The wind is blowing at the rate of 4 miles per hour

<h3>Speed and distances</h3>

The formula for calculating speed is expressed as:

Speed = Distance/Time

Given the following parameters

Speed of airplane = 18 miles per hour

Speed in wind = 2.2 * 10 = 22 miles/hr

Speed of the wind = 22 - 18

Speed of the wind = 4mi/hr

Hence the wind is blowing at the rate of 4 miles per hour

Learn more on speed here: brainly.com/question/4931057

7 0

2 years ago

Sarah rolls a die. What is the chance of her rolling a 4?!

Mariulka [41]

depends on the type of dice, some have many sides . how many rolls, how many seconds until it stops rolling, which quantiative set of dice rolls do you have that you use to verify the accuricy of predicitons.

In short, not sure.

3 0

3 years ago

Read 2 more answers