All categories

3 years ago

Determine the area of the figure on the coordinate grid. Round to the nearest hundredth if needed

Mathematics

1 answer:

Nutka1998 [239]3 years ago

8 0

Answer:

72 square units

Step-by-step explanation:

Consider the figure as the difference of a trapezoid and a rectangle.

Area of the trapezoid:

a = 3 - (-2) = 5 units
b = 9 - (-6) = 15 units
h = 5 - (-5) = 10 units
A = (a + b)h/2 = (5 + 15)(10)/2 = 100 square units

Area of the rectangle:

l = 5 - (-2) = 7 units
w = -1 - (-5) = 4 units
A = lw = 4*7 = 28 square units

Area of the figure:

100 - 28 = 72 square units

You might be interested in

A group of three undergraduate and five graduate students are available to fill certain student government posts. If four studen

creativ13 [48]

Answer:

$Pr = 0.4286$

Step-by-step explanation:

Given

Let

$U \to\\$ Undergraduates

$G \to$ Graduates

So, we have:

$U = 3; G =5$ -- Total students

$r = 4$ --- students to select

Required

$P(U =2)$

From the question, we understand that 2 undergraduates are to be selected; This means that 2 graduates are to be selected.

First, we calculate the total possible selection (using combination)

$^nC_r = \frac{n!}{(n-r)!r!}$

So, we have:

$Total = ^{U + G}C_r$

$Total = ^{3 + 5}C_4$

$Total = ^8C_4$

$Total = \frac{8!}{(8-4)!4!}$

$Total = \frac{8!}{4!4!}$

Using a calculator, we have:

$Total = 70$

The number of ways of selecting 2 from 3 undergraduates is:

$U = ^3C_2$

$U = \frac{3!}{(3-2)!2!}$

$U = \frac{3!}{1!2!}$

$U = 3$

The number of ways of selecting 2 from 5 graduates is:

$G = ^5C_2$

$G = \frac{5!}{(5-2)!2!}$

$G = \frac{5!}{3!2!}$

$G =10$

So, the probability is:

$Pr = \frac{G * U}{Total}$

$Pr = \frac{10*3}{70}$

$Pr = \frac{30}{70}$

$Pr = 0.4286$

5 0

3 years ago

A horse had 4 1/5 scoops of oats in his bucket. He ate 2 1/2 scoops of oats. How much scoops of oats are left in his bucket? Ent

lidiya [134]

Answer:

1 7/10

Step-by-step explanation:

4 1/5-2 1/2 = 17/10 = 1 7/10

8 0

3 years ago

Read 2 more answers

What's the answer and show your work by using the funnel method

Paraphin [41]

Answer: i got 44 for the answer

5 0

3 years ago

Question 20 need an answerw

max2010maxim [7]

Which one is question 20??

8 0

3 years ago

Helppp me pls what is : 56× 3/4 =

Dennis_Churaev [7]

Answer:

I believe its 42

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers