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Law Incorporation [45]

3 years ago

14

A plane intersects a hexagonal prism. the plane is perpendicular to the base of prism. which two dimensional figure is the cross

section of the plane intersecting the prism

1 answer:

Oxana [17]3 years ago

4 0

It is surprisingly a rectangle. Imagine the shape as a piece of clay, and then cut through it. This is the best way to visualize this

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Simplify: 10√11(4√6+7) HELPPPP

prisoha [69]

Answer:

557.12527151

Step-by-step explanation:

4 0

3 years ago

If the diameter of a youth baseball is 2. 8 inches and the diameter of an adult softball is 3. 8 inches, what is the approximate

Molodets [167]

The approximate difference in their volumes is 17.2 cubic inches

<h3>How to determine the difference in the volume?</h3>

The given parameters are:

Diameter, d = 2.8

Diameter, D = 3.8

The radii are the half of the diameter.

So, we have:

r = 1.4

R = 1.9

The volume of the balls is then calculated using:

$V = \frac{4}{3}\pi r^3$

The difference is then represented as:

$D = \frac{4}{3}\pi (R^3 - r^3)$

Substitute known values

$D = \frac{4}{3}* 3.14* (1.9^3 - 1.4^3)$

Evaluate

D = 17.2

Hence, the approximate difference in their volumes is 17.2 cubic inches

Read more about volumes at:

brainly.com/question/1972490

#SPJ1

4 0

2 years ago

Suppose you'd like to save enough money to pay cash for your next car. The goal is to save an extra $28,000 over the next 6 year

Anna35 [415]

Given:

• Amount to save, A = $28,000

,

• Time, t = 6 years

,

• Interest rate, r = 5.3% ==> 0.053

,

• Number of times compounded = quarterly = 4 times

Let's find the amount that must be deposited into the account quarterly.

Apply the formula:

$FV=P(\frac{(1+\frac{r}{n})^{nt}-1}{\frac{r}{n}})$

Where:

FV is the future value = $28,000

r = 0.053

n = 4

t = 6 years

Thus, we have:

$28000=P(\frac{(1+\frac{0.053}{4})^{4\times6}-1)}{\frac{0.053}{4}}$

Let's solve for P.

We have:

$\begin{gathered} 28000=P(\frac{(1+0.01325)^{24}-1}{0.01325}) \\ \\ 28000=P(\frac{(1.01325)^{24}-1)^{}}{0.01325}) \\ \\ 28000=P(\frac{1.371509114-1}{0.01325}) \\ \\ 28000=P(\frac{0.371509114}{0.01325}) \end{gathered}$

Solving further:

$28000=P(28.0384237)$

Divide both sides by 28.0384237:

$\begin{gathered} \frac{28000}{28.0384237}=\frac{P(28.0384237)}{28.0384237} \\ \\ 998.6=P \\ \\ P=998.6 \end{gathered}$

Therefore, the amount that must be deposited quarterly into the account is $998.60

ANSWER:

$998.60

8 0

1 year ago

a housewife spent 3/7 of her money to buy yams and 1/2 of the remainder to buy rice what is the fraction of her money left

g100num [7]

Answer:

Fraction of money spent on calculator = 2/5

Find the fraction of money left:

1 - 2/5 = 3/5

Find the fraction of money spent on a book:

4/7 x 3/5 = 12/35

Answer: She spent 12/35 of the money on a book

------------------------------------------------------------------------------------------------

To find the fraction of saving:

Fraction of money saved = 1 - calculator - book

Fraction of money saved = 1 - 2/5 - 12/35 = 9/35

Fraction of the money saved = 9/35

Step-by-step explanation:

5 0

3 years ago

Determine if the function f(x)=x+4 is increasing or decreasing on the interval of 2≤x≤5. Justify your answer.

Rudik [331]

Step-by-step explanation:

Given

The function is $f(x)=x+4$

for $x_2>x_1$ , we will check the values of $f(x_1)$ and $f(x_2)$

Take 3 and 4

$f(4)=4+4\\f(4)=8$

Similarly,

$f(3)=3+4\\f(3)=7$

Thus, $f(4)>f(3)$

Also, $f'(x)$ is 1 i.e. a constant value. So, the function is increasing linearly for the given interval.

7 0

3 years ago