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Sauron [17]
3 years ago
6

Solve : 5(x−12)=260+4x

Mathematics
2 answers:
Alecsey [184]3 years ago
7 0
The answer is x = 320.
nignag [31]3 years ago
6 0

Answer:

x = 320

Step-by-step explanation:

Solve for x by simplifying both sides of the equation then isolating the variable

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Can you write a real world problem that uses Pythagorean theorem ?
elena-14-01-66 [18.8K]

1) Road Trip: Let’s say two friends are meeting at a playground. Mary is already at the park but her friend Bob needs to get there taking the shortest path possible. Bob has two way he can go - he can follow the roads getting to the park - first heading south 3 miles, then heading west four miles. The total distance covered following the roads will be 7 miles. The other way he can get there is by cutting through some open fields and walk directly to the park. If we apply Pythagoras's theorem to calculate the distance you will get:

(3)<span>2 </span>+ (4)2 =

9 + 16 = C2

√25 = C

5 Miles. = C

Walking through the field will be 2 miles shorter than walking along the roads. .

2) Painting on a Wall: Painters use ladders to paint on high buildings and often use the help of Pythagoras' theorem to complete their work. The painter needs to determine how tall a ladder needs to be in order to safely place the base away from the wall so it won't tip over. In this case the ladder itself will be the hypotenuse. Take for example a painter who has to paint a wall which is about 3 m high. The painter has to put the base of the ladder 2 m away from the wall to ensure it won't tip. What will be the length of the ladder required by the painter to complete his work? You can calculate it using Pythagoras' theorem:

(5)<span>2 </span>+ (2)2 =

25 + 4 = C2

√100 = C

5.3 m. = C

Thus, the painter will need a ladder about 5 meters high.

3) Buying a Suitcase: Mr. Harry wants to purchase a suitcase. The shopkeeper tells Mr. Harry that he has a 30 inch of suitcase available at present and the height of the suitcase is 18 inches. Calculate the actual length of the suitcase for Mr. Harry using Pythagoras' theorem. It is calculated this way:

(18)<span>2 </span>+ (b)2 = (30)2

324 + b2 = 900

B2 = 900 – 324

b= √576

= 24 inches

6 0
3 years ago
Solve for x using the given diagram
blagie [28]

Answer:

<h2>x = 1</h2>

Step-by-step explanation:

Look a t the picture.

The triangles on the picture are similar.

Therefore the sides are in proportion:

\dfrac{8x}{10}=\dfrac{4}{5x}              <em>cross multiply</em>

(8x)(5x)=(4)(10)

40x^2=40           <em>divide both sides by 40</em>

x^2=1\to x=\sqrt1\\\\x=1

7 0
3 years ago
PLS HELP ASAP WILL DO ANYTHING The picture below shows a right-triangle-shaped charging stand for a gaming system: Which express
Fynjy0 [20]

Answer:

AB= 8/Cosine 60 degrees

Step-by-step explanation:

Cosine=Adjacent/Hypotenuse

Cosine=8/AB

AB=8/Cosine 60 degrees

7 0
3 years ago
If mABD​, what are mABC and m​DBC?
Sedbober [7]

Answer:

45

Step-by-step explanation:

8 0
3 years ago
the product of three consecutive whole numbers is 990.what is the sum of the three consecutive whole numbers
konstantin123 [22]
The numbers are 9,10,11 . the sum being 20 :) hope this helped have a great day 
4 0
3 years ago
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