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2 years ago

Select the correct answer.

Mathematics

1 answer:

sp2606 [1]2 years ago

6 0

The perimeter of the pentagon with apothem of 5cm is 28.87cm

<h3>How to calculate the perimeter of a pentagon</h3>

The sum of all the external sides of the pentagon is its perimeter.

First we need to calculate the half of one of its sides using the SOH CAH TOA

tan 30 = x/5

x = 5 tan 30

x = 2.89

One of the sides = 2(2.89) = 5.77 cm

Perimeter of th pentagon = 5(5.77) = 28.87

Hence the perimeter of the pentagon with apothem of 5cm is 28.87cm

Learn more on perimeter of pentagon here: brainly.com/question/11484726

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Andrea claims that any two cross sections of a cylinder that lie on parallel planes are congruent.

Elodia [21]

Answer:

A)No; any two cross sections of a cylinder that lie on planes parallel to the bases of the cylinder are congruent.

Step-by-step explanation: I had to answer it in class and got it right

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3 years ago

Order the sides of each triangle from shortest to longest.

harkovskaia [24]

Answer:

XV , WX , VW

Step-by-step explanation:

The angles in a triangle correspond, regarding size, with their opposite side lengths. More specifically the largest angle in a triangle is opposite of the longest side as well as the smallest angle being opposite from the shortest side.

the largest angle ( angle X ) is opposite of side length WV therefore WV is the longest side.

The smallest angle ( angle W ) is opposite of side XV therefore side XV is the smallest side

We're then left with side WX which would be the medium lengthed side.

So in order from shortest to longest it would be XV , WX , VW

5 0

3 years ago

Igloos unlimited charges $150 per night with a 50% discount for every night after the third night .if you stay for days how much

Marina CMI [18]

Answer:

150x, (x<=3)

225+75x, (x>3)

*x is the number of nights stayed.

Step-by-step explanation:

-Let the number of days stayed be x.

#If the number of days is equal to or less than 3 days, the cost is:

$Cost=C_d\times Days\\\\=150x$

Hence, the cost for x>3 is given by 150x

#If the number of days is greater than 3, the the cost is calculated as:

$\#First \ 3 \ Days.\\Cost=C_d\times Days\\\\\\=150\times 3\\\\=450\\$

$\\\#Next \ number \ of \ days\\\\Cost=C_d\times Days\\\\=0.5(150)\times (x-3)\\\\=75(x-3)$

We sum the two costs for x>3

$\sum{Costs}=450+75(x-3)\\\\=225+75x$

Hence, the cost for x>3 is given by 225+75x

6 0

3 years ago

You can use the interactive graph below to find the solution. \begin{cases} y=-5x+6 \\\\ y=3x-2 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ y=−5

Naily [24]

Answer:

(x, y) = (1, 1)

Step-by-step explanation:

What interactive graph is that?

My own graph is attached. It shows the solution to be (x, y) = (1, 1).

7 0

4 years ago

Which of the following sets of scores has the least variability? a. 5, 7, 8, 9, 12, 13 b. 16, 17, 18, 19, 20 c. 20, 22, 25, 30,3

cupoosta [38]

Answer:

The set "b" has the least variability

b. 16, 17, 18, 19, 20

Step-by-step explanation:

Variability of set of datas can be measured based on any of their measures of central tendency i.e mean, median, mode and range. Using range as our measure of variability.

Range is gotten by taking the difference between the highest value and the lowest value of set of datas. The value with lowest value of range will be the one that has lowest variability.

For set a, the range will be 13-5 = 8

For set b, the range will be 20-16=4

For set c, the range will be 31-20= 11

For set d, the range will be 12-2 = 11

According to the range of each set, set b has the least range and as such will have the least variability

8 0

3 years ago