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erica [24]
3 years ago
9

A scale on a hiking map shows that 1.51.51, point, 5 inches represents 444 miles. What number of actual miles are represented by

666 inches on the map? miles
Mathematics
1 answer:
Arlecino [84]3 years ago
8 0

Answer:

The answer to the question is

16 actual miles

Step-by-step explanation:

To solve the question first we note that

1.5 inches on map = 4 actual miles

This means that, dividing both sides by 1.5 we have

1 inch on the map is equal to \frac{4}{1.5} actual miles

Which indicates that 6 inches on the map will be 6× \frac{4}{1.5} = \frac{6}{1.5}×4actual miles

which is 4 × 4 or 16 actual miles as 6÷1.5 = 4

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A label wraps around soup can with a radius of 4.3 cm and a height of 6 cm. What is the lateral surface area of the label of the
Soloha48 [4]

Answer:

52\pi \text{ cm}^2\approx 162.11\text{ cm}^2

Step-by-step explanation:

We have been given that a label wraps around soup can with a radius of 4.3 cm and a height of 6 cm. We are asked to find the lateral surface area of the label of the soup can in square centimeters.

We will use lateral surface area of cylinder to solve our given problem as:

LA=2\pi rh, where,

r = Radius of cylinder,

h = height of cylinder.

Upon substituting our given values in above formula, we will get:

LA=2\pi \times\text{4.3 cm}\times \text{6 cm}

LA=51.6\pi \text{ cm}^2

LA=162.10618\text{ cm}^2

Therefore, the lateral surface area of the label of the soup is approximately 162.11 square cm.

5 0
3 years ago
Read 2 more answers
the length of a rectangle is 5 units longer than its width. If the perimeter must be at least 34 units, what are the possible le
ololo11 [35]

Answer:

w ≥ 6

l ≥ 11

Step-by-step explanation:

The perimeter of a rectangle is equal to P = 2l+2w where l=length and w=width. Here the length is 5 feet longer than the width or 5+w. This means the width is w. Substitute P = 34, l=5+w and w into the perimeter equation. Then solve for w.

34 ≤ 2*(5+w) + 2w

34 ≤ 10+2w+2w

34 ≤ 10+4w

24 ≤ 4w

6 ≤ w

This means the width must be at least 6 so the solution is w ≥ 6.

To find the length substitute 6 into l ≤ 5+w.

l ≤ 5 + 6

l ≤ 11

The length is l ≥ 11.

6 0
3 years ago
PLZ HELP WILL MARK BRAINLIEST!
goblinko [34]

Step-by-step explanation:

directrix = (1, -1)

focus = (-3, 2)

vertex = (-3, 3)

7 0
3 years ago
Simplify the expression: (7 times 18 plus 45) divided by 6
neonofarm [45]

Answer:

28.5  PLEASE GIVE ME BRAINLIEST

Step-by-step explanation:

(7 x 18 + 45) ÷ 6

171 ÷ 6 = 28.5

8 0
3 years ago
Theo is a cleaner,
GaryK [48]

Step-by-step explanation:

1 hour 50 minutes = 110 mins

1 1/2 hours = 90 mins

add all these:

110

90

85

55

35

when you add all these you get 375

every hour has 60 minutes

375 ÷ 60 = 6.15

if he starts at 9 am and he cleans for 6.15 hours he will be finished by 3:15pm.

4 0
2 years ago
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