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soldi70 [24.7K]

2 years ago

12

A side of a regular six - sided polygon is 8cm long. The perimeter of a similar polygon is 60cm. What is the length of a side of

the larger polygon?

1 answer:

Lerok [7]2 years ago

4 0

Answer:

10 cm

Step-by-step explanation:

The larger polygon is also a regular 6-sided polygon, so each side is 1/6 of the perimeter length:

(60 cm)/6 = 10 cm . . . length of a side

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A movie theater sells popcorn in bags of different sizes. The table shows the volume of popcorn and the price of the bag.

scoundrel [369]

Answer:

<em>The price for a 60-ounce bag of popcorn would be $16</em>

Step-by-step explanation:

<u>Function Modeling</u>

The behavior of some parameters that depend on a set of variables can be modeled in several ways, like linear, quadratic, exponential, logarithmic, among many others.

The selection of the model is often a complex decision that involves statistics and data analysis.

The question provides us with four points where the volume of popcorn bags and the price in dollars. The easiest function that can be used is the line.

The equation of a line of the volume V and the price p can be found with the expression

$\displaystyle p-p_1=\frac{p_2-p_1}{V_2-V_1}(V-V_1)$

We'll use the first two values (6,10) (8,20)

$\displaystyle p-6=\frac{8-6}{20-10}(V-10)$

Simplifying and rearranging, we get the model

$\displaystyle p(V)=\frac{1}{5}V+4$

To test the accuracy of the model, we compute the values of p for V=35 and for V=48

$\displaystyle p(35)=\frac{1}{5}(35)+4=11$

$\displaystyle p(48)=\frac{1}{5}(48)+4=13.6$

Since the computed values are equal to those of the table, the model is accurate. We can now predict the price for V=60

$\displaystyle p(60)=\frac{1}{5}(60)+4=16$

The price for a 60-ounce bag of popcorn would be $16

6 0

2 years ago

Marco has drawn a line to represent the perpendicular cross-section of the triangular prism. Is he correct? Explain. triangular

evablogger [386]

Answer:

The correct option is;

Yes, the line should be perpendicular to one of the rectangular faces

Step-by-step explanation:

The given information are;

A triangular prism lying on a rectangular base and a line drawn along the slant height

A perpendicular bisector should therefore be perpendicular with reference to the base of the triangular prism such that the cross section will be congruent to the triangular faces

Therefore Marco is correct and the correct option is yes, the line should be perpendicular to one of the rectangular faces (the face the prism is lying on).

8 0

1 year ago

Read 2 more answers

Tony addison obtained a 20-year, $45,000 mortgage loan from united savings with an interest rate of 8.5%. his monthly payment is

Anna007 [38]

As given,

Loan amount is = $45000

Rate of interest = 8.5%

So, Tony's mortgage will attract an interest of:

$45000\times\frac{8.5}{100}$ = $3825 (this is yearly)

And for 1st month it will be = $\frac{3825}{12}$ = $318.75

As given, the first month's payment is $390.60 and this covers the interest Additional amount ($390.60 - $318.75 = $71.85) is a payment against the principle.

Hence, the new principle after the 1st month is $71.85 less than $45000

= 45000-71.85 = $44928.15

Hence, the last option $44928.15 is the correct answer.

4 0

2 years ago

A clothing vendor estimates that 78 out of every 100 of its online customers do not live within 50 miles of one of its physical

Korolek [52]

Answer:

78% probability that a randomly selected online customer does not live within 50 miles of a physical store.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

Total outcomes:

100 customers

Desired outcomes:

A clothing vendor estimates that 78 out of every 100 of its online customers do not live within 50 miles of one of its physical stores. So the number of desired outcomes is 78 customers.

Using this estimate, what is the probability that a randomly selected online customer does not live within 50 miles of a physical store?

$p = \frac{78}{100} = 0.78$

78% probability that a randomly selected online customer does not live within 50 miles of a physical store.

4 0

2 years ago

A quadratic function has a line of symmetry at x = –3.5 and a zero at –9. What is the distance from the given zero to the line o

kap26 [50]

Given:

A quadratic function has a line of symmetry at x = –3.5 and a zero at –9.

To find:

The other zero.

Solution:

We know that, the line of symmetry divides the graph of quadratic function in two congruent parts. So, both zeroes are equidistant from the line of symmetry.

It means, line of symmetry passes through the mid point of both zeroes.

Let the other zero be x.

$-3.5=\dfrac{(-9)+x}{2}$

Multiply both sides by 2.

$-7=-9+x$

Add 9 on both sides.

$-7+9=-9+x+9$

$2=x$

Therefore, the other zero of the quadratic function is 2.

8 0

2 years ago