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Oduvanchick [21]
2 years ago
8

Please show me step by step so I can learn to explain it to my son.

Mathematics
1 answer:
aleksklad [387]2 years ago
6 0
These are the steps:
1. Find the area of the trapezium {Whole figure).
2. FInd the area of the rectangle (unshaded).
3. Area of the shaded = Area of trapezium - Area of the rectangle.

<u>Step 1:  Find the area of the trapezium</u>:

Formula : Area of trapezium = 1/2 (a + b)h 

Area = 1/2 ( 25 + 15) (12) = 240 yd²

<u>Step </u><u>2 :</u><u> Find the area of the rectangle</u>:

Formula : Area = Length x Width

Area = 12 x 3 = 36 yd²

<u>Step 3: Find the shaded region:</u>

240 - 36 = 204 yd²

Answer: 204 yd²

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the runner's time to complete the marathon is 45 minutes. The time to complete the last marathon was 49.5 minutes. What is the p
Lana71 [14]

Answer:

9.09%

Step-by-step explanation:

To find percent decrease you have to use this equation:

Percent Decrease = \frac{Initial -New}{Initial} x 100

Initial = 49.5

New = 45

Plug in and solve:

PD = \frac{49.5-45}{49.5} x 100\\\\PD = \frac{4.5}{49.5} x 100 \\\\PD = 0.0909 x 100\\\\PD = 9.09

The percent decrease is 9.09%

<em>Hope this helps!!</em>

<em>- Kay :)</em>

6 0
3 years ago
Please help! I cant afford to fail.. PLEASE NO LINKS
vova2212 [387]

Answer:  The answer that I got was J.

7 0
2 years ago
A furniture store is having a sale on sofas and you're going to buy one. The advertisers know that buyers get to the store and t
MrRissso [65]

Answer:

$290

Step-by-step explanation:

We are told that 1 out of 5 buyers change to a more expensive sofa than the one in the sale advertisement.

Now we are told that the advertised sofa is $250 and the more expensive sofa is $450.

Thus;

P(x) for expensive sofa = 1/5

P(x) for sofa in sale advertisement = 4/5

Thus, expected value is;

E(X) = (1/5)450 + (4/5)250

E(x) = 90 + 200

E(x) = $290

6 0
2 years ago
Pls help :Find the missing side or angle.<br> Round to the nearest tenth.
Nitella [24]

Answer:

C° = 71.6056

Step-by-step explanation:

Law of Cosines: c² = a² + b² - 2abcosC°

Step 1: Plug in known variables

29² = 30² + 15² - 2(30)(15)cosC°

Step 2: Evaluate

841 = 900 + 225 - 900cosC°

-59 = 225 - 900cosC°

-284 = -900cosC°

71/225 = cosC°

cos⁻¹(71/225) = C°

C° = 71.6056

And we have our answer!

7 0
2 years ago
Read 2 more answers
4xy + y = w<br><br> solve for y<br><br> pls show work
Soloha48 [4]

Answer:

y = w/4x+1

Step-by-step explanation:

4 0
2 years ago
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