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2 years ago

Larry rolls 2 fair dice and adds the results from each.

Mathematics

1 answer:

lions [1.4K]2 years ago

5 0

Answer:

Of the 36 different possible results of rolling a die twice, 10 of them have a total greater than 8.

Therefore, the probability of getting a total greater than 8 is 10/36 = 5/18

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A square and an equilateral triangle have equal perimeters. the area of the triangle is

Ivenika [448]

a - length of side of a square

t - length of side of a triangle

The perimeter of a square: $P_S=4a$

The perimeter of a triangle: $P_T=3t$

We have the area of a triangle: $A_T=16\sqrt3\ cm^2$

The formula of an area of an equilateral trinagle: $A_T=\dfrac{t^2\sqrt3}{4}$

Substitute:

$\dfrac{t^2\sqrt3}{4}=16\sqrt3$ multiply both sides by 4

$t^2\sqrt3=64\sqrt3$ divide both sides by $\sqrt3$

$t^2=64\to t=\sqrt{64}\to t=8\ cm$

The perimeter of a triangle: $P_T=3(8)=24\ cm$

Substitute to the formula of a perimeter of a square:

$4a=24$ divide both sides by 4

$a=6\ cm$

The formula of a diagonal of a square: $d=a\sqrt2$

Substitute:

$d=6\sqrt2\ cm$

3 0

2 years ago

An 8-foot roll of wrapping paper costs $12.48. What is the price per inch?

Kisachek [45]

The price of this wrapping paper per inch is equal to $1,198.08.

Given the following data:

Cost of wrapping paper = $12.48.

Length of wrapping paper = 8 foot.

To determine the price of this wrapping paper per inch:

<h3>How to solve the problem.</h3>

In this exercise, you're required to solve for the cost of an 8-foot roll of wrapping paper that costs $12.48. Thus, we would convert the length of this wrapping paper in foot to inch and then multiply by $12.48.

Conversion:

1 foot = 12 inch

8 foot = X inch

Cross-multiplying, we have:

$X = 8 \times 12$

X = 96 inch

For price per inch:

$Price = 12.48 \times 96$

Price = $1,198.08

Read more on word problems here: brainly.com/question/13170908

3 0

2 years ago

I'm confused on how to find the length of this triangle.

sertanlavr [38]

the formula for area=l*w

you know one side is 1.1w (w representing the unknown side) and the area is 3.3w squared. now you need to plug in the numbers you know into your formula which would look like this: 3.3w squared is equal to 1.1w times w. now you need to solve for w by multiplying 1.1w and w to get 1.1w squared. now you are going to divide 1.1 w squared on both sides which gives you w equals 3

Final answer: w=3

7 0

3 years ago

If you buy 8 kilograms of apples and 2.5 kilograms of pears how many more grams of apples are there

Anna35 [415]

Answer:

$5,500\ g$