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3 years ago

Help me solve this (pls show working)

Mathematics

1 answer:

maksim [4K]3 years ago

6 0

Answer:

The area of the polygon is 92.75 cm^2

Step-by-step explanation:

To find the area of the polygon, we simply add up the areas of the constituent triangles

At any point in time;

Area of a triangle = 1/2 * base * height

So we proceed as follows;

(1/2 * 12 * 4.5) + (1/2 * 12 * 5)

= 27 + 30 = 57 cm^2

There is a last triangle with 12 cm and 5 cm as the sides and we need the length of the hypotenuse

The length of the hypotenuse for that triangle will be 13 cm. This is because 5,12 and 13 are Pythagorean triple and they form the sides of a right-angled triangle

So for the last triangle, the area will be;

1/2 * 13 * 5.5 = 35.75 cm^2

So the total area is;

35.75 + 57 = 92.75 cm^2

You might be interested in

Calculate the force output by the larger piston of a hydraulic lift when a force of 800 N is exerted on the smaller piston. The

Alchen [17]

answer:

step by step explanation

Note the second diameter was used as 50cm and not 500cm

given

F1=800N

D1=20cm

A1=πD1^2/4

=3.142*20^2/4

=314.2cm^2

D2= 50cm

A2=πD2^2/4

=3.142*50^2/4

=1963.75cm^2

The pressure applied on the smaller relative to the bigger end is expressed as

F1/A1=F2/A2

substitute we have

800/314.2=F2/1963.75

cross multiply we have

F2=800*1963.75/314.2

F2=1571000/314.2

F2=5000N

F2=5kN

The larger Force is 5kN

5 0

3 years ago

If c (x) = StartFraction 5 Over x minus 2 EndFraction and d(x) = x + 3, what is the domain of (cd)(x)?

lbvjy [14]

Answer:

The domain is $\{x$ ∈ $R|x\neq 2\}$

Step-by-step explanation:

Given the fucntion $c(x)$ :

$c(x)=\frac{5}{x-2}$

And the function $d(x)$ :

$d(x) = x + 3$

You must multiply them in order to get $(cd)(x)$ . Then, this is:

$(cd)(x)=(\frac{5}{x-2})(x + 3)\\\\(cd)(x)=\frac{(5)(x+3)}{x-2}\\\\(cd)(x)=\frac{5x+15}{x-2}$

You can notice that it is a Rational function.

Since the denominator cannot be zero, the domain of this function will be all the real numbers except those that makes the denominator zero.

Then, you must equate the denominator to zero and solve for "x":

$x-2=0\\x=2$

Therefore, the domain is $\{x$ ∈ $R|x\neq 2\}$

5 0

3 years ago

Read 2 more answers

A bank sends its customers an e-mail when their accounts fall below -$10 . Which inequality models this situation?

Annette [7]

Answer:

$x < -\$10$

Step-by-step explanation:

Let

x------> account balance

we know that

The inequality that represent when the accounts fall below $-\$10$ is equal to

$x < -\$10$

5 0

3 years ago

Read 2 more answers

Please help!!! I’ll mark you as brainliest

dsp73

Answer:

The correct answer is 17 weeks.

Step-by-step explanation:

First, write an equation:

total cost = (30)weekly + deposit

Let's solve:

1004.51 = 30w + 500

504.51 = 30w Subtract 500 from both sides

16.817 = w Divide both sides by 30

17 = w Round up (money always rounds up)

Hope this helps,

♥A,W,E,S.W.A.N.♥

3 0

4 years ago

You worked from 2:30pm - 8:45pm with a 1/2 hour lunch break your hourly wage is $7.50/hour how much did you earn

levacccp [35]

Find out how many hours you worked first.

2:30 pm-8:45 => 6:15 hours

But they say that you take a break of 1/2 hour

6:15- 0:30= 5:45 hours

Convert all the data into hours. 5 hours + 45/60 hours

Multiply data with given hourly wage.

5x$7.50=$37.5

(45/60)x7.50=$5.625

In total, you earn (37.5+5.625)=> $43.125

Hope I helped :)

3 0

3 years ago

Read 2 more answers