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Alchen [17]
3 years ago
8

A building casts a shadow 25 m long. At the same time, the shadow cast by a 44-cm tall pole is 59 cm long. Find the height of th

e building.
 A. 17.1 m B. 32.0 m C. 33.5 m D. 18.6 m
Mathematics
1 answer:
EastWind [94]3 years ago
3 0

For this, we are going to be using proportions to solve. But firstly, we have to convert cm to m. For this, I'll be using dimensional analysis:

\frac{44\ cm}{1}*\frac{0.01\ m}{1\ cm}=\frac{0.44}{1}=0.44\ m

\frac{59\ cm}{1}*\frac{0.01\ m}{1\ cm}=\frac{0.59}{1}=0.59\ m

Now that we have everything in meters, we can put it into proportions. In this case, our proportion is \frac{x}{25} =\frac{0.44}{0.59}

Firstly, cross-multiply: 0.59x=11

Next, divide both sides by 0.59, and your answer will be x = 18.6 m, or D.

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A realtor predicts that the value of a $70,000 home will increase by the same percentage each year, and will increase by 8% ever
mina [271]

Answer:

f(n)=70,000(1.08)^{0.25n}

3 0
3 years ago
55.5% repeating as a decimal​
liberstina [14]

Answer:

0.555

Step-by-step explanation:

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First, we will tell you why it is useful to know 55.5 as a decimal.

Normally, to calculate 55.5 percent, you would multiply a number by 55.5 percent and then you would take the product of that and divide it by 100 to get the answer.

Instead, you can simply multiply a number by 55.5 as a decimal to get the answer.

55.5 percent means 55.5 per hundred. Therefore, to get 55.5 as a decimal, all you have to do is divide 55.5 by 100 like so:

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5 0
3 years ago
Read 2 more answers
Use a Venn diagram to answer the question. A survey of 180 families showed that 67 had a​ dog; 52 had a​ cat; 22 had a dog and a
Mice21 [21]

Answer:

There are 13 families had a parakeet only

Step-by-step explanation:

* Lets explain the problem

- There are 180 families

- 67 families had a dog

- 52 families had a cat

- 22 families had a dog and a cat

- 70 had neither a cat nor a​ dog, and in addition did not have a​

 parakeet

- 4 had a​ cat, a​ dog, and a parakeet (4 is a part of 22 and 22 is a part

 of 67 and 520

* We will explain the Venn-diagram

- A rectangle represent the total of the families

- Three intersected circles:

 C represented the cat

 D represented the dog

 P represented the parakeet

- The common part of the three circle had 4 families

- The common part between the circle of the cat and the circle of the

 dog only had 22 - 4 = 18 families

- The common part between the circle of the dog and the circle of the

 parakeet only had a families

- The common part between the circle of the cat and the circle of the

 parakeet only had b families

- The non-intersected part of the circle of the dog had 67 - 22 - a =

  45 - a families

  had dogs only

- The non-intersected part of the circle of the cat had 52 - 22 - b =  

  30 - b families

  had cats only

- The non-intersected part of the circle of the parakeet had c families

  had parakeets only

- The part out side the circles and inside the triangle has 70 families

- Look to the attached graph for more under stand

∵ The total of the families is 180

∴ The sum of all steps above is 180

∴ 45 - a + 18 + 4 + 30 - b + b + c + a + 70 = 180 ⇒ simplify

- (-a) will cancel (a) and (-b) will cancel (b)

∴ (45 + 18 + 4 + 30 + 70) + (-a + a) + (-b + b) + c = 180

∴ 167 + c = 180 ⇒ subtract 167 from both sides

∴ c = 180 - 167 = 13 families

* There are 13 families had a parakeet only

5 0
3 years ago
I don’t get this :(
muminat
Ok so for the first one it’s super simple I’m gonna do it as less complicated so it can help you :)


So first we need to convert the mixed number to an improper fraction


1 4/5 = 9/5


Now we need to reduce the numbers greatest common divisor which is 3

3/5 x 6

Now multiply the numbers


Your answer is 18/5 I hoped this help



Now for the second one

this one is a little more complicated and I don’t know how to make it sound easier so I’m gonna tell you the answer which is 580/21


The last one is the same steps we did for the first one which is 27/20



I hoped this helped you it is a little difficult but you’ll get the hang of it :)

5 0
3 years ago
Find a better estimate of √2.
Goryan [66]
Answer = 1.414
I used the prime factorization method.
Hope this answers your question.
4 0
1 year ago
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