All categories

3 years ago

Please please Help! 8 points!

Mathematics

1 answer:

Step2247 [10]3 years ago

5 0

Answer:

area ≈ 59.441 in²
lateral area ≈ 352.671 in²
surface area ≈ 471.553 in²

Step-by-step explanation:

1. The area of the regular polygon base of the prism can be found from the formula ...

A = (nr²/2)sin(360°/n) . . . . where r is the radius and n is the number of sides

Filling in the numbers and doing the arithmetic gives ...

A = (5·5²/2)sin(72°) ≈ 59.441 . . . square inches

2. The lateral area is the product of the height and the perimeter. The perimeter of the regular polygon can be found from ...

P = 2nr·sin(180°/n) = 50sin(36°) ≈ 29.389 . . . inches

Then the lateral area is ...

LA = Ph = (29.389 in)(12 in) = 352.671 in²

3. The total area is the area of the two bases together with the lateral area:

S = 2·(base area) + (lateral area) = 2(59.441 in²) + 352.671 in²

S = 471.553 in²

You might be interested in

The price of a flash drive that regularly sells for $16 is increased by 15% . Write two different expressions the find the new p

elena-14-01-66 [18.8K]

I may be wrong but I hope I am not. But one expression is 16 × .15 and another is 16 × 15/100. When multiplying percentages you have to move the decimal that is invisbly behind the last number, two places to the left. The answer you get is the percentage of the price. You would then take the answer and add it to the price. The answer to the multiplication problem is 2.40. You then add the 2.40 to the $16 and that's the new price.

5 0

3 years ago

I really need help please

andrew11 [14]

Answer:look at step by step

Step-by-step explanation:how do I post questions and I’ll help you

3 0

3 years ago

Read 2 more answers

Which ordered pairs are solutions to the inequality 3x-4y>5

Sloan [31]

Note: you did not provide the answer options, so I am, in general, solving this query to solve your concept, which anyways would clear your concept.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the inequality

$3x-4y>5$

All we need is to find any random value of 'x' and then solve the inequality.

For example, putting x=3

$3\left(3\right)-4y>5$

$9-4y>5$

$-4y>-4$

$\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}$

$\left(-4y\right)\left(-1\right)$

$4y$

$\mathrm{Divide\:both\:sides\:by\:}4$

$\frac{4y}{4}$

$y$

So, at x = 3, the calculation shows that the value of y must be less

than 1 i.e. y<1 in order to be the solution.

Let us take the random y value that is less than 1.

As y=0.9 < 1

so putting y=0.9 in the inequality

$3\left(3\right)-4\left(0.9\right)$

$=9-3.6$

$=5.4$

As 5.4 > 5

Means at x=3, and y=0.9, the inequality is satisfied.

Thus, (3, 0.9) is one of the many ordered pairs solutions to the inequality 3x-4y>5.

6 0

2 years ago

2. Find the distance between (-2,1) and (3,4).

Nina [5.8K]

Answer:

$\sqrt{34}$ or 5.83095

Step-by-step explanation:

Use the distance formula $\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1} )^2 }$

Make sure to round the answer appropriately if not asked for in square root form!!

8 0

3 years ago

The front row in a movie theatre has 23 seats. If you were asked to sit in the seat that occupied the median position, in which

Harrizon [31]

Answer:

Step-by-step explanation:

The median is the one in the middle. For an <u>odd</u> number of seats, average the first and last seat numbers.

(1 + 23) / 2 = 24 / 2 = 12. That means there will be 11 people on your left and 11 people on your right.

For an even number of seats, the same method doesn't work as well! If there are 14 seats, for example, (1 + 14) / 2 = 15 / 2 = 7.5, and if you sit in "seat" 7 and a half, it will be awkward!

4 0

2 years ago

Read 2 more answers