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3 years ago

In Australia 74% of the land cannot support agriculture. Write this percentage as a fraction in simplest form.

Mathematics

2 answers:

Len [333]3 years ago

8 0

37/50 as the simplest form.

malfutka [58]3 years ago

8 0

Percent means out of 100. 74% would equal 74/100. But in simplest form you divide both by 2 because 2 can go into both 74 and 100. 74/2=37. 100/2=50.

So 37/50 would be your answer

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Consider the diagram below. which of the following represents the values x,y and z?

Gemiola [76]

Answer:

$x=4\sqrt{6}\ units$

$y=4\sqrt{2}\ units$

$z=4\sqrt{3}\ units$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

In the right triangle ABD

Applying the Pythagorean Theorem

$x^2=y^2+(12-4)^2$

$x^2=y^2+64$

$y^2=x^2-64$ ----> equation A

step 2

In the right triangle BDC

Applying the Pythagorean Theorem

$z^2=y^2+4^2$

$z^2=y^2+16$

$y^2=z^2-16$ ----> equation B

step 3

In the right triangle ABC

Applying the Pythagorean Theorem

$12^2=x^2+z^2$

$144=x^2+z^2$ ----> equation C

step 4

Equate equation A and equation B

$x^2-64=z^2-16$

$x^2=z^2+48$ -----> equation D

step 5

substitute equation D in equation C

$144=z^2+48+z^2$

solve for z

$2z^2=144-48$

$2z^2=96$

$z^2=48$

$z=\sqrt{48}\ units$

simplify

$z=4\sqrt{3}\ units$

Find the value of x

$x^2=z^2+48$

$x^2=48+48=96$

$x=\sqrt{96}\ units$

$x=4\sqrt{6}\ units$

Find the value of y

$y^2=z^2-16$

$y^2=48-16$

$y^2=32$

$y=\sqrt{32}\ units$

$y=4\sqrt{2}\ units$

3 0

3 years ago

A drawer contains 6 blue socks, 8 white

sesenic [268]

You would most likely choose the purple one the answer is A and perimeter is 8

3 0

3 years ago

Andrew [12]

Answer:

Given the initial population of termites = 60

After 7 days the population of termites = 225

Step-by-step explanation:

We have given the initial termites and the population of termites after 7 days. Now we are required to find the exponential growth model that will help to predict the future population of termites.

We have, Y = Ca^x

When the value of x is zero then population (Y) is 60 termites.

Y = Ca^x

60 = Ca^x

Now, Y = 60a^x

At x = 7 days

Y = 225

225 = 60 a^7

a^7 = 225/60

a = 1.2078

Thus, final population will be, Y = 60(1.2078)^x

8 0

3 years ago

Which represents the solution(s) of the graphed system of equations, y = –x2 x 2 and y = –x 3? (1, 2) (1, 2) and (0, 3) (–1, 0)

zlopas [31]

The solution of the graphed system of equations y = -x² + x + 2 and y = -x + 3 is (1,2)

<h3>How to solve the equations?</h3>

The system of equations is given as:

y = -x² + x + 2

y = -x + 3

From the graph in the complete question, we have the following point of intersection between the equations

(x,y) = (1,2)

The point of intersection between the equations is the solution

Hence, the solution of the graphed system of equations is (1,2)

Read more about system of equations at:

brainly.com/question/14323743

#SPJ4

4 0

2 years ago

Read 2 more answers

What’s the Domain and Range?

masya89 [10]

Answer: domain: x>-3

range: y > -1

Step-by-step explanation:

3 0

3 years ago