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3 years ago

Which of the following is the shape of a cross-section of the figure shown below?

Mathematics

1 answer:

postnew [5]3 years ago

3 0

Answer:

B. Pentagon

Step-by-step explanation:

A cross-section is basically the 2D figure created by slicing through a 3D shape.

Take a look at this figure: it's a pentagonal prism. One note to remember is that for all prisms, their cross-sectional shapes are the same shapes as the shape of their bases.

Here, the two bases are pentagons, so we know the cross-section will be a pentagon.

Thus, the answer is B.

~ an aesthetics lover

You might be interested in

an inlet pipe and a hose together can fill the pond in 10 hours. The inlet pipe alone can complete the job in one hour less time

Annette [7]

Answer:

The hose pipe can fill the pond in 21.465 hours.

The inlet pipe can fill the pond in 20.465 hours.

Step-by-step explanation:

Given that, a inlet pipe and a hose pipe together can fill the pond in 10 hours.

The inlet pipe alone can fill the pond in one hour less time than the hose pipe can fill the pond.

Let the hose pipe can complete the job in x hours.

Then the inlet pipe can fill the pond in (x-1) hours.

The rate of filling of hose pipe is $=\frac{1}{x}$

The rate of filling of inlet pipe is $=\frac{1}{x-1}$

The rate of filling of both pipes is = $\frac 1{10}$

According to the problem,

$\frac{1}{x}+\frac{1}{x-1}=\frac{1}{10}$

$\Rightarrow \frac{x-1+x}{x(x-1)}=\frac1{10}$ [ simplifying the fraction]

$\Rightarrow \frac{2x-1}{x^2-x}=\frac1{10}$

$\Rightarrow 10(2x-1)= x^2-x$ [ Multiplying 10(x²-x) both sides]

$\Rightarrow x^2-x= 20x-10$

$\Rightarrow x^2-x-20x+10=0$ [ simplifying ]

$\Rightarrow x^2-21x+10=0$

$\Rightarrow x=\frac{-(-21)\pm\sqrt{(-21)^2-4.1.10}}{2.1}$ [ applying quadratic formula]

$\Rightarrow x=\frac{21\pm21.93}{2.1}$

⇒ x= 21.465, -0.465

x= - 0.465 does not possible, since time can not be negative.

∴x=21.465

The hose pipe can fill the pond in 21.465 hours.

The inlet pipe can fill the pond in (21.465-1)=20.465 hours.

3 0

4 years ago

Please help if you can thank you.

jok3333 [9.3K]

Answer:

113.04

Step-by-step explanation:

The formula is pie × radius × radius pie=3.14 so 3.14 × 6 × 6 = 113.04

7 0

3 years ago

Read 2 more answers

Write each set of numbers in set-builder and interval notation X>50

KiRa [710]

Answer:

$\{x\ E\ Z\ |\ x > 50\}$ ---- Set Builder

(50, ∞) ---- Interval Notation

Step-by-step explanation:

Given

x > 50

Required

Write as a

- Set builder

- Interval notation

As Set Builder:

x > 50 means that x is an integer and x is greater than 50.

In set builder notation, integers are represented with z.

So, the above can be represented as:

$\{x\ E\ Z\ |\ x > 50\}$

This translates to:

x is a member of the set of integers such that x is greater than 50

As Interval Notation:

In interval notation, we make use of brackets to represent the intervals.

In this case > is represented by (a,b)

Where a and b are the intervals of the notation

Since x > 50, then a = 50 and b = ∞ because we only know the starting point and not the end point.

Hence: x > 50 in interval notation is (50, ∞)

7 0

3 years ago

What if we had a square one side equaled 30 what did the other sides equal?

MAVERICK [17]

A square has 4 sides of equal lenght
so if one side is 30 then the other sides are also 30

3 0

3 years ago

Ava bought a washing machine online. It cost $892 plus 21% shipping and handling. What was the total cost? Round your answer to

allsm [11]

The total cost was 1079.32$.
892$ x 1.21= 1079.32$

7 0

3 years ago

Read 2 more answers