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Tatiana [17]
2 years ago
8

MIDDLE SCHOOL MATH On the subway 8 out of 10 people are carrying a briefcase. Based on this information, if there are 700 people

on the subway, then about how many do NOT have a briefcase?
Mathematics
2 answers:
kodGreya [7K]2 years ago
7 0

Answer:

140

Step-by-step explanation:

If 8 out of 10 are carrying a briefcase, that means 2 out of 10 are not carrying one.

Use a proportion to find how many don't have a briefcase with 700 people

Let x represent the number of people without a briefcase:

\frac{2}{10} = \frac{x}{700}

Cross multiply and solve for x

10x = 1400

x = 140

So, 140 people do not have a briefcase

Harlamova29_29 [7]2 years ago
4 0

Answer:

140

Step-by-step explanation:

8/10 people, there's 700 people

10 multiplied by 70 =700.

2 people dont have briefcases = 2 times 70=140

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A. The approximate height of the building is 100 m

B. We can use the arc length formula to obtain an approximation of BC since angle A is small.

A.

The approximate height of the building is 100 m

To find the approximate height of the building, we consider the diagram.

From the diagram, we have that using trigonometry,

tanA = BC/AB

Now

  • A = 0.05 radians,
  • BC = height of building and
  • AB = 2 km = 2000 m
<h3 /><h3>Finding the value of BC</h3>

So, making BC subject of the formua, we have

BC = ABtanA

Substituting the values of the variables into the equation, we have

BC = ABtanA

BC =2000tan0.05

BC = 2000 × 0.05

BC = 100 m

So, the approximate height of the building is 100 m

B.

We can use the arc length formula to obtain an approximation of BC since angle A is small.

<h3 /><h3>Arc Length Formula</h3>

We know that the arc length formula L = rФ where

  • r = radius and
  • Ф = angle in radians
<h3 /><h3>The approximate height</h3>

Now BC = ABtanA

We know that Ф ≅ tanФ when Ф is small.

<h3 /><h3>The comparison</h3>

So, BC = AB × A which is the arc length formula with

  • L = BC,
  • r = AB and
  • Ф = A

So, we can use the arc length formula to obtain an approximation of BC since angle A is small.

Learn more about approximate height of building here:

brainly.com/question/3144976

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