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OleMash [197]
3 years ago
5

A 32-m tall building casts a shadow the distance from the top of the building to the tip of the shadow is 34 m find the length o

f the shadow if necessary round your answer to the nearest tenth
Mathematics
2 answers:
kramer3 years ago
8 0

Answer:

Step-by-step explanation:

Svetllana [295]3 years ago
6 0

You can find this answer by simply doing the reverse of the Pythagorean Theorem. The formula for Pythagorean Theorem is a^2+b^2=c^2, so the reverse would be b^2=c^2-a^2. All we have to do is substitute in the numbers and solve.

b^2=c^2-a^2

b^2=36^2-32^2

b^2=272

sqrt(b^2) sqrt(272)

b=16.492

Since we are rounding to the nearest tenth, our answer will be 16.5 meters.

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A cylinder has a radius of 9 inches and a height of 5 inches. What is the volume and surface area of the cylinder?​
Licemer1 [7]
The answer is:
v ≈ 1272.35 in^3

Sorry if this does not help.
4 0
3 years ago
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The accompanying data came from a study of collusion in bidding within the construction industry. No. Bidders No. Contracts 2 6
viktelen [127]

Answer:

a)

The proportion of contracts involved at most five bidders is 0.667.

The proportion of contracts involved at least five bidders is 0.51.

b)

The  proportion of contracts involved  between five and 10 inclusive bidders is 0.5.

The  proportion of contracts involved  strictly between five and 10 bidders is 0.304.

Step-by-step explanation:

No. bidders    No. contracts     Relative frequency of contracts

2                         6                       6/102=0.0588

3                         20                     20/102=0.1961

4                         24                     24/102=0.2353

5                         18                       18/102=0.1765

6                         13                        13/102=0.1275

7                          7                          7/102=0.0686

8                          5                          5/102=0.049

9                          6                          6/102=0.0588

10                         2                           2/102=0.0196

11                          1                            1/102=0.0098

Total                  102

a)

We have to find proportion of contracts involved at most five bidders.

Proportion of at most 5= Relative frequency 2+ Relative frequency 3+ Relative frequency 4+ Relative frequency 5

Proportion of at most 5=0.0588+ 0.1961+0.2353+0.1765

Proportion of at most 5=0.6667

The proportion of contracts involved at most five bidders is 0.667.

proportion of at least five bidders= proportion≥5= 1- proportion less than 5

Proportion less than 5=0.0588+ 0.1961+0.2353=0.4902

proportion of at least five bidders=1-0.4902=0.5098

The proportion of contracts involved at least five bidders is 0.51

b)

We have to find proportion of contracts involved  between five and 10 inclusive bidders.

Proportion of contracts between five and 10 inclusive= Relative frequency 5+ Relative frequency 6+ Relative frequency 7+ Relative frequency 8+ Relative frequency 9+ Relative frequency 10

Proportion of between five and 10 inclusive=0.1765 +0.1275 +0.0686 +0.049 +0.0588 +0.0196

Proportion of between five and 10 inclusive=0.5

The  proportion of contracts involved  between five and 10 inclusive bidders is 0.5

We have to find proportion of contracts involved  strictly between five and 10 bidders.

Proportion of contracts strictly between five and 10=  Relative frequency 6+ Relative frequency 7+ Relative frequency 8+ Relative frequency 9

Proportion of strictly between five and 10=0.1275 +0.0686 +0.049 +0.0588

Proportion of strictly between five and 10=0.3039

The  proportion of contracts involved  strictly between five and 10 bidders is 0.304.

8 0
3 years ago
If p:q=2/3:3 and p:r=3/4:2/3 calculate the ratio p:q:r. Giving the answer in its simplest form
adelina 88 [10]

Answer:

Given  

if p:q=2/3:3 and p:r=3/4:1/2, calculate the ratio p:q:r giving your answer in its simplest form

We need to find the ratio p:q:r

Given p:q = 2/3 : 3 = 2/3 / 3  = 2/9

and p : r = 3/4 : 1/2 = 3/4 / 1/2  = 3/2  

Now p/q = 2/9 and p/r = 3/2

We need to make p equal numerators so we get

p/q = 2/9 x 3/3 = 6/27 and

p/r = 2/3 x 3/2 = 6/4

Therefore p : q : r = 6 : 27 : 4

6 0
4 years ago
I just need someone to answer these:
VladimirAG [237]

Answer:

7x4/8=3.5

9 × 7/10=6.3

(i dont know this one or the next, hope it helps! ❤

Step-by-step explanation:

7 0
3 years ago
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2/5 times 2/3 (28 points)
Alik [6]

Answer:

4/15

Step-by-step explanation:

4 0
3 years ago
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