MATHEMATICS HIGH SCHOOL

Which statements are true? Check all that apply.A sphere has no faces.
A prism must have a triangular or rectangular base.
A triangular prism has 2 rectangular bases and 4 triangular lateral faces.
A square pyramid must have lateral faces that are squares.
The lateral surface of a cylinder is in the shape of a rectangle when unrolled.

Answers

Answer 1

Answer:

The true statement about shapes are as follows;

A sphere has no faces.
The lateral surface of a cylinder is in the shape of a rectangle when unrolled

Facts about three dimensional shapes.

A sphere is rounded three dimensional shape. The volume is represented as follows;

volume = 4 / 3 πr³

where

r = radius

Therefore, a sphere has no faces.

A cylinder is a three dimensional figure . The volume is as follows;

volume = πr²h

where

h = height
r = radius

Hence, the lateral surface of a cylinder is in the shape of a rectangle when unrolled

learn more on shapes here: brainly.com/question/24090207

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Answer 2

Answer:

A sphere has no faces && the lateral surface of a cylinder is in the shape of a rectangle when unrolled

Step-by-step explanation:

I got it right on edg

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Simplify 24/40 in simplest form

Jordan takes 50% of the cherries from a bowl. then Mei takes 50%of the remaining cherries. Finally Greg takes 50 %of the remaining cherries. There are 3 cherries left. How many cherries were in the bowl before Jordan arrived

Answers

Answer:

Step-by-step explanation:

Let total cherries in a bowl=x

Jordan takes cherries=50% of x= $(50)/(100)x$

Remaining cherries= $x-(50)/(100)x=(50)/(100)x=(x)/(2)$

Mei takes cherries=50% of $(50x)/(100)=(x)/(4)$

Now, remaining cherries= $(x)/(2)-(x)/(4)=(x)/(4)$

Greg takes cherries=50% of $(x)/(4)=(x)/(8)$

Now, remaining cherries= $(x)/(4)-(x)/(8)=(x)/(8)$

Now,remaining cherries in a bowl=3

We have to find total cherries in a bowl before Jordan arrived.

According to question

$(x)/(8)=3$

$x=3* 8=24$

Hence, total cherries in a bowl=24

So in the final smallest bowl when half are removed there are 3 so the total amount was double 3 which is 6 before greg removed some.
Mei had removed half of the cherries which left 6 cherries so the total amount before Mei removed half was 12.
Jordan took half of the cherries which left 12. If you follow the same logic you double 12 which makes....
Good luck, hope this helped you understand the question more, feel free to comment and ask for help :)

The area of a polygon is the number of square units contained in its interior true or false

Answers

False. Perimeter is a linear measure. Square units are for area.

A small box weighs 1 25 pounds. A large box weighs 3 1/3 time as much as the small box. how much does the large box weigh?

Answers

Answer:

416.7pounds

Step-by-step explanation:

Given parameters:

Weight of the small box = 125pounds

Unknown:

Weight of the larger box = ?

Solution:

The large box weighs $3(1)/(3)$ times as the small box:

So;

= 125pounds x $(10)/(3)$

= 416.7pounds

How to find the inverse of the function f(x)=2x-3 ? Please

Answers

$f(x)=2x-3\n\ny=2x-3\n\n-2x=-y-3\ \ \ \ /:(-2)\n\nx=(1)/(2)y+(3)/(2)\n\nf^(-1)(x)=(1)/(2)x+(3)/(2)$

f(x)=2x-3
y=2x-3
x=(y+3)/2

f⁻¹(x) = (x+3) / 2

PLEASE HELP IFL WHAT THIS QUESTION MEANSa. Look at the two similar shapes below. Which sides correspond? Write common ratios with the
names of sides and lengths.

Answers

As per the question no (a) The areas corresponding to each other are triangles ABC and DEF, and the common ratios are AB/DE = 5/2 and BC/EF = 5/2. Lets find the solution :-

Now,

In triangles ABC and DEF, we have the following:-

∠A and ∠D are congruent, so we can say ∠A = ∠D.

∠C and ∠F are congruent, so we can say ∠C = ∠F.

Now, to find which areas correspond, let's compare the ratios of corresponding sides:-

AB/DE = 15/6 = 5/2

BC/EF = 20/8 = 5/2

These ratios are equal, indicating that sides AB and DE correspond, and sides BC and EF correspond. So, the areas corresponding to each other are triangles ABC and DEF, and the common ratios are AB/DE = 5/2 and BC/EF = 5/2.

Learn more about triangles:

brainly.com/question/29196982

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How is the product of 2 and-5 shown on a number line

Answers

Answer:

-10

Step-by-step explanation:

start at 0 and move backwards 5(gives you -5) then move backwards 5 more(-10)

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