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dem82 [27]
2 years ago
12

Help Please See the picture

Mathematics
1 answer:
earnstyle [38]2 years ago
7 0

Answer:

\frac{4}{3}\sqrt{3}

Step-by-step explanation:

the ratio of sides of a 30-60-90° triangle, respectively, are 1 : \sqrt{3} : 2

we can solve for 'x' using this proportion:

x/4 = 1/\sqrt{3}

now cross-multiply:

\sqrt{3}x = 4

x = 4/\sqrt{3}

we don't want to leave a radical in the denominator so we can multiply numerator and denominator by \sqrt{3} to get:

4\sqrt{3} / 3 or \frac{4}{3}\sqrt{3}

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Need someone’s help please??
kodGreya [7K]

Answer:

162

Step-by-step explanation:

18 times 9 = 162

3 0
3 years ago
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8. Lisa types 6 pages in 36 minutes. Frank types 5 pages in 30 minutes. Do they type at the same rate? Use a proportion to expla
qaws [65]

Answer:

Yes

Step-by-step explanation:

Lisa and Frank type at the same rate.

They both type 1 page every six minutes.

Lisa types 6 pages every 36 minutes, and if we divide the minutes by the pages, we get

\frac{36}{6} = 6

And Frank types 5 pages ever 30 minutes, when we divide we get

\frac{30}{5} = 6

3 0
2 years ago
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
What is (2x+1) (3x+2)?
Pie

Answer:

In picture...

Step-by-step explanation:

I solved it step by step in picture. U can have a look

✌️

7 0
2 years ago
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The area of a semi circle is 20
alisha [4.7K]

Answer:

A = 157 in^2

Step-by-step explanation:

First, we need to get the radius, we can do this by dividing our given diameter by 2.

20/2 = 10

Now, we have our radius of 10 inches.

Formula for Area of a Semi Circle: (1/2)(pi(r^2)

Input values.

(1/2)(3.14(10^2)

Solve.

(1/2)(3.14(100)

(1/2)(314)

1/2(314) = 157

Finally, we have our result which is 157 inches^2.

3 0
3 years ago
Read 2 more answers
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