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3 years ago

There are four major auto routes from Boston to Detroit

1 answer:

5 0

Here is the answer for the given question above. Since any of 4 routes from Boston to Detroit can be combined with any of 6 routes from Detroit to Los Angeles, we have to apply the product rule, which means that there are 6 x 4 = 24 major auto routes from Boston to Los Angeles via Detroit. Hope this answer helps.

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The (Figure 1) shows two thin beams joined at right angles. The vertical beam is 19.0 kg and 1.00 m long and the horizontal beam

il63 [147K]

A) The center of gravity of the two joined beams is;

(x, y) = (25/44), (19/88)

B) The gravitational torque on the joined beams about an axis through the corner is;

τ = 245 N.m

We are given;

Mass of vertical beam; m₂ = 19 kg

Mass of horizontal beam, m₁ = 25 kg

Length of horizontal beam; L₁ = 2 m

Length of vertical beam; L₂ = 1 m

A) Formula for center of gravity of the two joined beams is;

(x, y) = [(m₁x₁ + m₂x₂)/(m₁ + m₂)], [(m₁y₁ + m₂y₂)/(m₁ + m₂)]

Where;

(x₁, y₁) is the center of gravity on the horizontal beam

(x₂, y₂) is the center of gravity on the vertical beam

(x₁, y₁) = (L₁/2, 0)

Plugging in the relevant values gives;

(x₁, y₁) = (2/2, 0)

(x₁, y₁) = (1, 0)

(x₂, y₂) = (0, L₂/2)

Plugging in the relevant values gives;

(x₂, y₂) = (0, 1/2)

(x₂, y₂) = (0, 0.5)

Thus, center of gravity of the 2 joined beams is;

(x, y) = [((25 × 1) + (19 × 0))/(25 + 19)], [((25 × 0) + (19 × 0.5)))/(25 + 19)]

(x, y) = (25/44), (19/88)

B) Formula for the gravitational torque on the joined beams about an axis through the corner is given as;

τ = (m₁g)x₁ + (m₂g)x₂

Plugging in the relevant values;

τ = (25 × 9.8)1 + (19 × 9.8)0

τ = 245 N.m

Read more at; brainly.com/question/14825257

8 0

1 year ago

Ty has 230 pages of text to read in the next three days. If he averages 25 pages every 1

Leto [7]

Answer:

waittt

in 3 days there r only 72 hours

soo... if 25 pages every 114 hrs would be wayyy past 3 days

Ans. it will take him 1048. 8 hrs

so basically 43.7 days

7 0

3 years ago

This year Martin's income is 1/4 greater than his income from Last year. If s represents his income from last year, what is his

erma4kov [3.2K]

Answer: 1 1/4s or 1.25s

Step-by-step explanation:

From the question, we are informed that this year Martin's income is 1/4 greater than his income from last year. We are further told that his income from last year is represented by s.

Therefore, hus income this year will be:

= s + (1/4 × s)

= s + 1/4s

= 1 1/4s or 1.25s

5 0

2 years ago

Read 2 more answers

Write a number that is gratet than 1 in scientific notation explain how you knowit is grater than 1

sweet [91]

2 x 10^2 because 2 x 10^2 is 200 in standard form and 200 is greater than 1.

7 0

3 years ago

How would u find the answer to # 10?

RideAnS [48]

Mabye try making the triangle a right triangle and use SohCahToa (sin, cos, tan) to figure out each angle?

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3 years ago