Mathematics, 31.01.2020 02:47 mawawakaiii

What is the area of the composite figure whose vertices have the following coordinates? (−2, −2) , (3, −2) , (5, −4) , (1, −8) , (−2, −4) enter your answer in the box.

Answers: 2

Show answers

Answers

Area of a rectangle = W X L
Area of a rectangle = 5 X 2
Area of a rectangle = 10

Area of triangle 1= 1/2 X B X H
Area of triangle 1= 1/2 X 2 X 2
Area of triangle 1= 1/2 X 4
Area of triangle 1= 2

Area of triangle 2= 1/2 X B X H
Area of triangle 2= 1/2 X 7 X 4
Area of triangle 2= 1/2 X 28
Area of triangle 2= 14

Area of a rectangle + Area of triangle 1 + Area of triangle 2=

10 + 2 + 14 = 36

What is the area of the composite figure whose vertices have the following coordinates? (−2, −2) ,

What is the area of the composite figure whose vertices have the following coordinates? (−2, −2) ,

Answer from: mfox793

The area of the composite figure is:

26 square units.

Step-by-step explanation:

The area of the composite figure is equal to:

Area of rectangle ABEI+Area of ΔBIC+Area of ΔDHC+Area of ΔDHE.

Now,

In rectangle ABEI:

Length(l)=5 units.

breadth(b)=2 units.

Area of rectangle ABEI=l×b

=5×2=10 square units.

In ΔBIC:

Base(b)=2 units.

Height(h)=2 units.

Area of ΔBIC=(1/2)×b×h

=(1/2)×2×2=2 square units.

In ΔDHC:

Base(b)=4 units.

Height(h)=4 units.

Area of ΔDHC=(1/2)×b×h

=(1/2)×4×4=8 square units.

In ΔDHE:

Base(b)=3 units.

Height(h)=4 units.

Area of ΔDHC=(1/2)×b×h

=(1/2)×3×4=6 square units.

Hence, area of figure formed by these points=10+2+6+8

=26 square units.

Answer from: Quest

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

$\tan\left(x\right)=\frac{\left[altitude\right]}{\left[base\right]}=\frac{p}{r}$

$\tan\left(x\right)=\frac{p}{r}$

$\frac{p}{r}=tan(x)$

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

Answer from: Quest

step-by-step explanation:

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 20:00, tefanyc13

Parabolas y=−2x^2 and y=2x^2 +k intersect at points a and b that are in the third and the fourth quadrants respectively. find k if length of the segment ab is 5.

Answers: 1

continue

Mathematics, 21.06.2019 20:30, officialgraciela67

William invested $5000 in an account that earns 3.8% interest, compounded annually. the formula for compound interest is a(t) = p(1 + i)t. how much did william have in the account after 6 years? (apex)

Answers: 2

continue

Mathematics, 21.06.2019 20:30, ElegantEmerald

A. plot the data for the functions f(x) and g(x) on a grid and connect the points. x -2 -1 0 1 2 f(x) 1/9 1/3 1 3 9 x -2 -1 0 1 2 g(x) -4 -2 0 2 4 b. which function could be described as exponential and which as linear? explain. c. if the functions continue with the same pattern, will the function values ever be equal? if so, give estimates for the value of x that will make the function values equals. if not, explain why the function values will never be equal.

Answers: 3

continue

Mathematics, 21.06.2019 23:00, angeladominguezgarci

If i purchase a product for $79.99 and two accessories for 9.99 and 7.00 how much will i owe after taxes applies 8.75%

Answers: 2

continue

You know the right answer?

What is the area of the composite figure whose vertices have the following coordinates? (−2, −2) ,...