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Nat2105 [25]
3 years ago
5

Jack is 1.75 m tall and casts a shadow 2.25 m long. At the same time, a statue casts a shadow 9 m long. What is the height of th

e statue?
a. 4 m
b. 7 m
c.5.75 m
d.11.6 m
Mathematics
2 answers:
iren2701 [21]3 years ago
8 0

Answer:

b. 7 m

Step-by-step explanation:

There is a direct proportion relationship between the length of the object/person and the shadow cast by it.

Let the length of the object/person be L an that of the shadow be B

L ∝ B

L = KB

where K is the constant of proportionality.

Where L = 1.75 m, B = 2.25 m

1.75 = 2.25B

B = 175/225 = 7/9

Therefore, L = (7/9)B

If at the same time, a statue casts a shadow 9 m long, then B = 9 m

L = (7/9) × 9

L = 7 m

The height of the statue is 7 m.

Arisa [49]3 years ago
5 0
7m
1.75 divided by 2.25 = 0.77777777...
0.77777777.. times by 9 = 7
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Please help me with math thanks
Korvikt [17]
Given that a room is shaped like a golden rectangle, and the length is 29 ft with the ratio of  golden rectangle being (1+√5):2, thus the width of the room will be:
ratio of golden triangle=(length if the room)/(width of the room)
let the width be x
thus plugging the values in the expression we get:
29/x=(1+√5)/2
solving for x we get:
x/29=2/(1+√5)
thus
x=(29×2)/(1+√5)
answer is:
x=58/(1+√5)
or
 byrationalizing the denominator by multiplying both the numerator and the denominator by (1-√5)
58/(1+√5)×(1-√5)/(1-√5)
=[58(1-√5)]/1-5
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7 0
3 years ago
to advertise o radio,the radio station charges 32naira for the first 10 words and 2naira per word for every additional word.how
o-na [289]

Answer:

Cost for 68 words = 148 naira

Step-by-step explanation:

Given that:

Cost of first ten words = 32 naira

Cost of additional words = 2 naira per word

Let,

x be the number of additional words.

y be the total cost

y = 2x + 32

We have to find the cost for 68 words.

The cost of first 10 words will be 32 naira.

Additional words = 68 - 10 = 58 words

Putting x = 58 in the equation

y = 2(58) + 32

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Hence,

Cost for 68 words = 148 naira

6 0
3 years ago
At the movie theatre, child admission is
Dmitriy789 [7]
Child = $5.70
Adult = $9.80

- We can conclude that the amount of adult is double the amount of child tickets bought. (total of $556.60)

For this, you will need to divide the total amount by two and draw a tree chart with each of the numbers to get the seperation of the two. I would find out how many 9.80s or 5.70s go into $56.60 so you'll just have $500

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3 and 3/8 tons equals how many pounds
Tamiku [17]
The answer is 6750 pounds
8 0
3 years ago
Y-2=4(x+3) what the slope intercept
Kryger [21]

Answer:

Slope intercept form: y = 4x + 14

Slope: 4

Y-intercept: 14

Step-by-step explanation:

y - 2 = 4(x + 3)

Use distributive property

y - 2 = 4x + 12

y - 2 + 2 = 4x + 12 + 2

y - 0 = 4x + 14

y = 4x + 14

3 0
3 years ago
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