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3 years ago

3. Find the area of the polygon. Show your work.

Mathematics

1 answer:

nata0808 [166]3 years ago

3 0

To solve this problem, you can split the shape into a triangle and a parallelogram.
You can do this by imagining/drawing a line from point A to point C>

Now you can work out the area of triangle ACB
1/2 x b x h
1/2 x 5 x 3
= 7.5

Now work out the area of the parallelogram ACDE
b x h
5 x 3 = 15

Add the areas together and then you have the answer
7.5 + 15 = 22.5

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What is the product?

densk [106]

The right answer is of option C

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

5 0

3 years ago

Read 2 more answers

You jog 2 kilometers in 12 minutes. Your friend jogs 3 kilometers in 16.5 minutes. Who jogs faster? You jog faster. Your friend

Darya [45]

Answer:

a) Who jogs faster?

Your friend jogs faster because he jogs with a speed of 10.91 km/hr

Step-by-step explanation:

Speed = Distance(km)/Time(hours)

Question 2 How much sooner will the faster jogger finish a five-kilometer race?

Your friend's will finish a 5km race at a speed of 18.18 km/hr

Your speed is :

You jog 2 kilometers in 12 minutes.

Convert 12 minutes to hours

60 minutes = 1 hour

12 minutes = x

x = 12/60

x = 1/5 hour

Your speed is calculated as:

2km/1/5hour

= 2 km ÷ 1/5 hour

= 2 × 5

= 10 km/hr

Your friend's speed is calculated as:

Your friend jogs 3 kilometers in 16.5 minutes.

Convert 16.5 minutes to hours

60 minutes = 1 hour

16.5 minutes = x

x = 16.5/60

x = 0.275 hour

Your speed is calculated as:

3km/0.275 hour

= 10.909090909 km/hr

Approximately = 10.91km/hr

a) Who jogs faster?

Your friend jogs faster because he jogs with a speed of 10.91 km/hr

Question 2 How much sooner will the faster jogger finish a five-kilometer race?

Your friend jogs faster, hence:

3 km = 10.91 km/hr

5km = x

x = 5 × 10.91/3

x = 18.183333333 km/hr

Your friend's will finish a 5km race at a speed of 18.18 km/hr

4 0

3 years ago

1 each of the two items that Val bought cost more than 10$ 2. Val spent 34$ for the 2 items. 3. Neither of the two items that Va

DerKrebs [107]

Statement : Val spent $ 34 for the 2 items

contradiction : Neither of the 2 items that Val bought cost more then $ 15

think about it....if neither of them cost more then 15....lets say they cost 15 each...then there is no way he spent $ 34.....he would spend at most $ 30

8 0

3 years ago

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Solve the system of equations using substitution and Elimination

juin [17]

<h2>Greetings!</h2>

Answer:

y = $\frac{-18}{7}$ and x = $\frac{50}{7}$

Step-by-step explanation:

To solve simultaneous equations, you need to have the number in front of both x's or y's the same. (signs doesn't matter)

To get -x to -10x we simply need to multiply the first equation by 10:

-x * 10 = -10x

-9y * 10 = -90y

16 * 10 = 160

-10x - 90y = 160

Now we can add the two equations:

-10x + 10x = 0

-90y + 20y = -70y

160 + 20 = 180

-70y = 180

70y = -180

7y = -18

y = $\frac{-18}{7}$

Now plug $\frac{-18}{7}$ into the second equation:

10x + 20( $\frac{-18}{7}$ ) = 20

10x - $\frac{360}{7}$ = 20

Move the $\frac{360}{7}$ over to the other side, making it a positive:

10x = 20 + $\frac{360}{7}$

10x = $\frac{500}{7}$

Divide both sides by 10:

x = $\frac{50}{7}$

So y = $\frac{-18}{7}$ and x = $\frac{50}{7}$

<h2>Hope this helps!</h2>

5 0

3 years ago

How to rewrite 11/12 in two different ways

KatRina [158]

Answer:

1) 33/36 = 11/12

2) 22/24 = 11/12

Step-by-step explanation:

Hope it helps you! Please give me Brainlest!

3 0

3 years ago

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