Could someone please answer the questions in the photo

10. A dice has 6 sides each from 1-6, rolling each time can give 6 different possible results, hence the chances of rolling a 2, 3, and 5 will be 1/6 respectively.

To roll a 2, 3, and 5 in order, which are independent events,

the required probability will be

= 1/6 x 1/6 x 1/6

= 1/216

11. Using Pythagoras theorem,

8² + B² = 15²

B =√161

=12.689

13. Area of trapezoid= (upper base+ lower base)(height)/2

= (16+23)(3)/2

= 58.5 m²

Answers:

Question #10:

Rolling a die three times gives 6 · 6 · 6 possibilities this makes 216 possibilities in total. Rolling the die in the order 2, 3, 5 is only one so the answer is: .

Question #11:

Since the triangle is a right triangle we can use the pythagorean theorem:

+ =

Working backwards we get that B is equal to 225 minus 64 which gets the square root of 161 or .

Question #12:

First we can start with finding the area of the rectangle in the trapezoid:

3 · 16 = 48

Next the two right triangles. 21 - 16 = 5 That is the length of the additional two triangles. Dividing 5 by two gets the base of one of them, but if we don't divide it by two we will be able to solve for both at the same time:

3 · 5 = 15

= 7.5

7.5 + 48 = 55.5

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step-by-step explanation:

d. 145*2 is 290 than the total angle is 360 then minus 290 then divide by two