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Soloha48 [4]
3 years ago
6

The next stop on the road trip is the zoo! jacob goes to find his favorite animal, the giraffe. jacob wonders how tall the talle

st giraffe at the zoo is. if jacob is 5 feet 6 inches and his shadow at the time is 3 feet long, find the height of the giraffe whose shadow is 5 feet 9 inches at the same time.
Mathematics
1 answer:
lapo4ka [179]3 years ago
3 0
1 foot = 12 inches
Height of Jacob = 5 feet 6 inches = 5 *12 + 6 = 66 inches
Jacob's <span>shadow = 3 feet = 36 inches

</span>giraffe's shadow = <span>5 feet 9 inches = 5 * 12 + 9 = 69 inches

</span><span>by the ratio and proportion

∴ </span>Height of Jacob/Jacob's shadow = Height of giraffe/giraffe's shadow

∴ 66/36 = Height of giraffe/69

∴ Height of giraffe = 69 * 66/36 = 126.5 inches = 10 feet 6.5 inches
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How far does the unicycle move if the wheel turns once?
algol [13]

The unicycle moves a distance of 251.20cm if the wheel turn once and the wheel must rotate 32 times to cover a distance of 100m

<h3>Circumference of a circle</h3>

The formula for calculating the circumference of a circle is given as:

C = 2pi r

r is the radius of the circle

a) r = 80/2 = 40cm

C = 2(3.14)(40)
C = 251.20 cm

Hence the unicycle moves a distance of 251.20cm if the wheel turn once

b) Number of revolution * 2pi r = distance covered

n * 2(3.14)(50) = 10000
314n = 10000
n = 10000/314

n =32

Hence the wheel must rotate 32 times to cover a distance of 100m

Learn more on circumference here: brainly.com/question/23986334

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2 years ago
Help with math pls Question: Which ratio tables are correct? (Also: Select *all* that apply) Which means there is more than one
masha68 [24]

Answer:

b

Step-by-step explanation:

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3 years ago
Write an equation or an inequality. the difference of 10 and a number is no more than 8.
s344n2d4d5 [400]
10 + x is less than or equal to 8
8 0
3 years ago
Annual starting salaries for college graduates with degrees in business administration are generally expected to be between $10,
Andreyy89

Answer:

1) the planning value for the population standard deviation is 10,000

2)

a) Margin of error E = 500, n = 1536.64 ≈ 1537

b) Margin of error E = 200, n = 9604

c) Margin of error E = 100, n = 38416

3)

As we can see, sample size corresponding to margin of error of $100 is too large and may not be feasible.

Hence, I will not recommend trying to obtain the $100 margin of error in the present case.

Step-by-step explanation:

Given the data in the question;

1) Planning Value for the population standard deviation will be;

⇒ ( 50,000 - 10,000 ) / 4

= 40,000 / 4

σ = 10,000

Hence, the planning value for the population standard deviation is 10,000

2) how large a sample should be taken if the desired margin of error is;

we know that, n = [ (z_{\alpha /2 × σ ) / E ]²

given that confidence level = 95%, so z_{\alpha /2  = 1.96

Now,

a) Margin of error E = 500

n = [ (z_{\alpha /2 × σ ) / E ]²

n = [ ( 1.96 × 10000 ) / 500 ]²

n = [ 19600 / 500 ]²

n = 1536.64 ≈ 1537

b) Margin of error E = 200

n = [ (z_{\alpha /2 × σ ) / E ]²

n = [ ( 1.96 × 10000 ) / 200 ]²

n = [ 19600 / 200 ]²

n = 9604

c)  Margin of error E = 100

n = [ (z_{\alpha /2 × σ ) / E ]²

n = [ ( 1.96 × 10000 ) / 100 ]²

n = [ 19600 / 100 ]²

n = 38416

3) Would you recommend trying to obtain the $100 margin of error?

As we can see, sample size corresponding to margin of error of $100 is too large and may not be feasible.

Hence, I will not recommend trying to obtain the $100 margin of error in the present case.

7 0
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mylen [45]

Answer:

x = 15

Step-by-step explanation:

The sum of the angles in a triangle is 180º

3x + 5x + 4x = 180

Combine like terms

12x = 180

Divide both sides by 12

x = 15

C = 5x

C = 5 * 15

C = 75º

6 0
3 years ago
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