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3 years ago

PLEASE HELP ME ASAP Find the area. Be sure to write the formula, work and answer with units.

Mathematics

2 answers:

Umnica [9.8K]3 years ago

8 0

170ft^2 A=lw A being area l begging length and then w is for the width

mixas84 [53]3 years ago

7 0

Answer:

170ft^2

Step-by-step explanation:

We need to find the areas of the partitioned areas and then add them to get the total area of the complex figure.

The area of the rectangle can be found by A = lw

The area of the triangle can be found by A = (1/2)*bh

We have already been given the length of the rectangle.

The base of the triangle is 22ft - 12ft = 10ft.

Since this is a 45-45-90 triangle, we can also say that the dashed line is also 10ft long, and this also represents the width of the rectangle.

This means that the height of the triangle and the width of the rectangle are both 10ft.

Area of rectangle = lw

A = 12ft * 10ft

A = 120ft^2

Area of triangle = (1/2)*bh

A = (1/2) * 10ft * 10ft

A = (1/2) * 100ft^2

A = 50ft^2

The total area of the figure is 120ft^2 + 50ft^2 = 170ft^2.

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A bag contains white matarles and red marables,126 in total.The number of whit marables is 6 more than 5 than 5 times the number

denis-greek [22]

Answer:106

Step-by-step explanation:

Let number of white marbles be w

Let number of red marbles be r

w+r = 126---------1

w = 6 +5r-----------2

Put eqn 2 in eqn 1

6+ 5r + r = 126

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An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated.

SCORPION-xisa [38]

Answer:

(a)See below

(b)I) 0.125 (ii)0.828125 (iii)0.234375 (iv) 0.625 (v)0.65625

Step-by-step explanation:

When an 8-sided die is rolled twice, the sample space is the set of all possible pairs (a,b) where a is the 1st outcome and b is the 2nd outcome.

The sample space is:

$[(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)]$

PART A

The sample space of the product a*b of each pair forms the required possibility diagram.

This is given as:

$1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6,12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64$