Mathematics High School

The shapes of the horizontal cross-sections of the cone below are not all
congruent.
A. True
B. False

Answers

Answer 1

Answer:

B. False

Step-by-step explanation:

We are given the statement,

'The shapes of the horizontal cross-sections of the cone are all congruent'.

Now, if we cut the cone horizontally, the cross-sectional shape is a 'circle'.

Further, the radius of the circle vary depending on the position form where the cone is cut i.e.

If cut from the top, the circle is approximately equal to a point.

If cut from the middle, the radius of the circle is less than the radius of the cone.

If cut from the bottom, the radius of the circle is equal to the radius of the cone.

Now, 'two figures are congruent if they overlap each other'.

Since, the circles have different radius, they will not overlap each other.

Thus, all the cross-sections of the cone would not be congruent.

Hence, the given statement is false.

Step-by-step explanation:

Answer 2

The solution is, the given statement is B. False.

What is a cross-section of any shape?

A cross-section is a shape formed by cutting a solid (such as a cone, cylinder, or sphere) with a plane. If a cylinder-shaped object is cut by a plane parallel to its base, the resulting cross-section is a circle. As a result, the object intersected.

here, we have,

We are given the statement,

'The shapes of the horizontal cross-sections of the cone are all congruent'.

Now, if we cut the cone horizontally, the cross-sectional shape is a 'circle'.

Further, the radius of the circle vary depending on the position form where the cone is cut i.e.

If cut from the top, the circle is approximately equal to a point.

If cut from the middle, the radius of the circle is less than the radius of the cone.

If cut from the bottom, the radius of the circle is equal to the radius of the cone.

Now, 'two figures are congruent if they overlap each other'.

Since, the circles have different radius, they will not overlap each other.

Thus, all the cross-sections of the cone would not be congruent.

Hence, the given statement is false.

To learn more about the cross-section of the shapes, visit:

brainly.com/question/13028300

#SPJ7

Related Questions

Can somebody help me?

Answers

Answer:

The last two

Step-by-step explanation:

x= 0.6·25

60/100= x/25

y = 1/2x + 4
x - y = 8
*Substitution

Answers

Answer:

y=16, x=24

Step-by-step explanation:

First simplify: x-(1/2x+4)=8

Isolate x for 1/2x-4=8

Add 4 to both sides:

1/2-4+4=8+4

Simplify :1/2=12

Multiply both sides by 2:

2*1/2x=12*2

Simplify:

x=24

Substitute x=24:

y=1/2*24+4

1/2*24+4=16

1/2*24=12

12+4

Add the numbers: 12+4=16

y=16

The solutions to the systems of equations are:

y=16,x=24

Question # 1 : If Question # 2 : How are lines, rays, and segments different? How are they the same?

Answers

Answer:

A line segment has two endpoints. It contains these endpoints and all the points of the line between them. A segment is named by its two endpoints. A ray is a part of a line that has one endpoint and goes on infinitely in only one direction. You cannot measure the length of a ray.

Step-by-step explanation:

why do systems of nonlinear equations sometimes have more than one solution

Answers

Answer:

System has equal number of unknowns and equations.

Manipulation easily yielded expressions for 4 of the 7 unknowns.

However it seems that the remaining 3 unknowns x,y,z are not fixed by the equations. Different combinations (x0,y0,z0) seem possible without violating the system equations.

Is this possible, or did I most probably make a mistake in counting degrees of freedom?

Step-by-step explanation:

The Math problem is called "Multiply Imaginary Numbers'
How do you solve

(−10√3)(7√−10)

Answers

Answer:

-700√3 √-

Step-by-step explanation

(-10√3) (7√-10)

Remove the parentheses

-10√3 * 7√- * 10

Multiply numbers: 10*7*10=700

Answer:

-700√3 √-

PLEASE HELP! this is due today! Brainlist for right answer!

Answers

Answer:

2550.5

Step-by-step explanation:

We have a circle and are asked to find the area.

We know the diameter already, but the formula to find area requires a raidus, which is unknown to us yet.

To find radius, all you need to do is follow [tex]\frac{d}{2}[/tex]. D being diameter.

D = 57.

[tex]\frac{57}{2}= 28.5[/tex]

The radius is 28.5, now do the formula of area.

[tex]A = \pi *r^2[/tex]

[tex]A = \pi *28.5^2[/tex]

[tex]28.5^2[/tex]

[tex]812.25[/tex]

[tex]A=\pi *812.25[/tex]

[tex]A=3.14 * 812.25[/tex]

[tex]A = 2550.465[/tex]

Now we need to round to the nearest tenths, since 6 is the knowledge that we round up, round up.

[tex]2550.5[/tex]

An adult leatherback turtle weighs 750 kilograms.

This is approximately 1.5 x 10^4 times its weight when it hatched.

To express the weight of the turtle when it hatched so that the number of units will possible whole number value, which of the following units of measure should be used?

(Note: 1 metric ton = 1,000 kilograms.)

A) Metric tons
B) Kilograms
C) Grams
D) Milligrams

Answers

Answer:

the answer is C)

Step-by-step explanation:

answer

B is the answear

Step-by-step explanation:

HELP ILL GIVE BRAINLYIST

Answers

Answer:

560

Step-by-step Explanation

Since, 476 students make 85%.

Therefore, let x students will make 100%.

[tex] \frac{476}{85} = \frac{x}{100} \\ \\ x = \frac{476 \times 100}{85} \\ \\ x = \frac{47600}{85} \\ \\ x = {560} [/tex]

What are the zeros of f(x) = x2 + x - 12?
O A. x= -4 and x = 3
O B. x=-2 and x = 6
O C. =-3 and x = 4
O D. X=-6 and x = 2

Answers

Answer:

(x+4)(x-3) or A

Step-by-step explanation:

I'm going to assume that you meant to write x² and not x2

which means we have

x²+x-12

and we need to factor this

to do this we need two numbers that add up to 1 (b) but mulitply to -12 (a*c)

our two numbers are

4, -3

Which means the answer is

(x+4)(x-3)

[tex]{ \large{ \bf{f(x) = x {}^{2} + x - 12}}}[/tex]

[tex]{ \large{ \bf{zeros = \dfrac{ - b± \sqrt{b {}^{2} - 4ac } }{2a} }}}[/tex]

[tex]{ \large{ \bf{zeros = \dfrac{ - 1± \sqrt{1 {}^{} + 48 } }{2} }}}[/tex]

[tex]{ \large{ \bf{zeros = \dfrac{ -1± 7 }{2} }}}[/tex]

[tex]{ \large{ \bf{➢ \: \: zeros = - 4 \: \: and \: 3 }}} \: \: \: \: \: \: (ans)[/tex]

Opt A.) is the answer

If 7 more boys join the Waverly Waves, how many girls should be added to the team in order to maintain the same ratio of boys to girls? Justify your answer.

Answers

7 would have to be added

While studying a population of porcupines, a group of scientists caught and tagged 95 porcupines. A week later, the scientists counted 640 porcupines and saw that 38 of them had tags. To the nearest whole number, what is the best estimate for the porcupine population?

Answers

Answer:

Step-by-step explanation:

95/p=38/640

p=95(640)//38

p=1600

Sam can type 20 words in 30 seconds how many words can he type in 90 seconds

Answers

Answer:

Step-by-step explanation:

90 divided by 30 is 3, so you would multiply 20 by 3 to get your answer of 60.

Hope this helps :)

Answer:

He can type about 51 words in 90 seconds because...

Use proportion!

7x = 360

X = 51 3/7

X is ABOUT 51

To write a percent as a decimal, _____.

Answer: 14

Step-by-step explanation:

1.75x -2 + 1.75x -2 + 1.75x -2 =67.5

5.25x-6= 67.5

5.25x =73 .5

X = 14

Answer:

1.75x-2= -3.14

-3.14 x 1.75= -5.495 -2= -7.495

x=3.14

P=-22.485

Step-by-step explanation:

A composite figure is divided into two congruent trapezoids, each with a height of 4 cm.
What is the area of this composite figure?
A. 32cm
B. 40cm
C. 64cm
D. 80cm

Answers

Answer:

the answer is C

Step-by-step explanation:

An encryption key is used to help decrypt messages. True or False. Explain why

Answers

Answer:

True!

Step-by-step explanation:

Write the equation for "25 more than a number x is the same as 44"

Answers

Answer:

25 + x = 44

Step-by-step explanation:

Substitute the words with the math symbols.

25 more than a number x is the same as 44

more than means to +

is the same as means =

25 more than a number x is the same as 44

25 + x = 44

Can someone plssss help!!

Answers

Answer:

x=20 degrees

Step-by-step explanation:

7x+(x+20)=180

8x+20=180

Answers

Answer:

15x+3

Step-by-step explanation:

its simple math

Answer:

15x+3

Step-by-step explanation:

614 divided by 15??????????

Answers

Answer:

122.8 brainliest plzzz

Step-by-step explanation:

Answer:

040

1 5 6 1 4

− 0

6 1

− 6 0

1 4

− 0

1 4

Step-by-step explanation:

40 reminder 14 is the answer

Two boats are on the water at points A and B, and a lighthouse is located at point C. The three points form a
triangle, where BC = 24 kilometers, m_A = 90°, and m_B=45°. Leaving your answer in simplified root form, what is the
distance between the boat at point A and the lighthouse?

Answers

Answer:

Step-by-step explanation:

i took the quiz and used brainly to check my awnser

ILL MARK BRAINLIEST

Directions: Solve the following system of equations using substitution.
Show your complete steps and make sure to have your solution as (x, y).

y = 3x - 5
5x - 4y = -3

Answers

Y=3x-5

Y=5/4x+3/4

The solution to the equations is in the picture

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The shapes of the horizontal cross-sections of the cone below are not all congruent. A. True B. False

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The shapes of the horizontal cross-sections of the cone below are not all
congruent.
A. True
B. False