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marysya [2.9K]
1 year ago
8

A model of a famous statue is 2 1/2 inches tall. The actual statue is 3 3/4 feet tall. What is the ratio of the height of the mo

del to the height of the actual statue in simplest
form?

Mathematics
1 answer:
madreJ [45]1 year ago
3 0

Answer: 2:3.

Step-by-step explanation:

\displaystyle\\\frac{The\  height\ of\  a\  model \ of \ a\  famous \ statue }{The\  height\ of\  the\ actual \ statue} =\frac{2\frac{1}{2} }{3\frac{3}{4} } \\\\\frac{\frac{5}{2} }{\frac{15}{4} } =\\\\\frac{5*4}{15*2} =\\\\\frac{2}{3}=2:3.

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sukhopar [10]

Answer:

(a) 144

(b) 117

(c) 360

(d) 588

(e) 5472

Step-by-step explanation:

To find the LCM of two numbers, first find the prime factorization of each number. Then the LCM is the product of common and not common factors with the larger exponent.

2.

(a)

72 = 2^3 \times 3^2

144 = 2^4 \times 3^2

LCM = 2^4 \times 3^2 = 8 \times 9 = 144

(b)

39 = 3 \times 13

117 = 3^2 \times 13

LCM = 3^2 \times 13 = 117

(c)

72 = 2^3 \times 3^2

90 = 2 \times 3^2 \times 5

LCM = 2^3 \times 3^2 \times 5 = 360

(d)

84 = 2^2 \times 3 \times 7

147 = 3 \times 7^2

LCM = 2^2 \times 3 \times 7^2 = 588

(e)

152 = 2^3 \times 19

288 = 2^5 \times 3^2

LCM = 2^5 \times 3^2 \times 19 = 5472

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3 years ago
How can both parents be tall, even though their genes for height are not exactly the same?
SSSSS [86.1K]
Both of the Billy’s parents (calling the parent billy) being tall is a recessive trait therefore both Billy’s parents has to have at least one recessive trait to make a tall child. Billy’s genotype would be way tt (aka recessive, recessive).
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lesantik [10]

Answer:

The lemon weighs 0.06 kilograms.

Step-by-step explanation:

0.25*0.24=0.06

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Step-by-step explanation:

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3 years ago
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Nataly_w [17]

Answer: 25

Step-by-step explanation:

Finding the product of complex numbers is not different to finding the product of real numbers

(-3i+4) * (3i+4) = -9i^2 + 12i - 12i + 16 = 25

5 0
2 years ago
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