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3 years ago

Solve for b. 3b < 9 23 Submit

Mathematics

1 answer:

Margarita [4]3 years ago

4 0

Answer:

b>3

Step-by-step explanation:

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A pole that is 3m tall casts a shadow that is 1.22m long. At the same time, a nearby building casts a shadow that is 38.5m long.

vichka [17]

Refer to the diagram shown below.

The height of the pole is CD (3 m), and its shadow is AB (1.22 m).
The height of the building is h m, and its shadow is AD (38.5 m).

The two triangles ΔABC and ΔADE are similar because of AAA.
Therefore
$\frac{DE}{BC} = \frac{AD}{AB} \\\\ \frac{h}{3} = \frac{38.5}{1.22}$

Cross multiply.
1.22 h = 3*38.5 = 115.5
h = 115.5/1.22 = 140.91 m

Answer: 141 m (nearest meter)

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4 years ago

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How do you use numerical expressions to solve real-world problems?

PilotLPTM [1.2K]

There are many ways to do this, if you wanted to write a numerical expression for: Lauren had $7 she babysits for three hours and earned $8.50 per hour, you would write 7+3x8.50=M. It is much shorter and makes much more sense to write this expression than to write a whole story

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3 years ago

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A physical education teacher plans to divide the seventh graders at Wilson Middle School into teams of equal size of year-ending

Crank

Step-by-step explanation:

Consider the provided information.

The total number of students are: 24+26+21=71

He wants each team will have the same number of students between 5 and 9.

The number between 5 to 9 are 6, 7 and 8.

The number 71 is a prime number so we need to divide the 71 students in group so that minimum students left without team.

Dividing 6 students in each group.

Number of teams: $\frac{71}{6}$ = 11 teams and 5 students.

Dividing 7 students in each group.

Number of teams: $\frac{71}{7}$ = 10 teams and 1 students.

Dividing 8 students in each group.

Number of teams: $\frac{71}{8}$ = 8 teams and 7 students.

Thus, we can not divide 71 students into equal teams, but 70 divided by 7 gives the least students left out i.e 10 teams each with 7 students and only 1 student will remain at last.

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3 years ago

Steps to solve 3.081111111...... to a fraction

ivanzaharov [21]

Answer:

30811 over 10000

Step-by-step explanation:

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3 years ago

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What is the value of 5 to the power of 4 over 5 to the power of 6?

Pani-rosa [81]

$\dfrac{5^4}{5^6}=\dfrac{5\cdot5\cdot5\cdot5}{5\cdot5\cdot5\cdot5\cdot5\cdot5}\\\\=\dfrac{\not5\cdot\not5\cdot\not5\cdot\not5}{\not5\cdot\not5\cdot\not5\cdot\not5\cdot5\cdot5}=\dfrac{1}{5\cdot5}=\dfrac{1}{25}$

$Use:\ \dfrac{a^n}{a^m}=a^{n-m}\\\\a^{-n}=\dfrac{1}{a^n}\\\\\dfrac{5^4}{5^6}=5^{4-6}=5^{-2}=\dfrac{1}{5^2}=\dfrac{1}{25}$

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4 years ago