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Brums [2.3K]
2 years ago
5

The scale of a map is known to be 1: 500 000. Find the actual distance (in km) between a mall and the bus interchange if the rep

resented distance on the map is 3.2 cm.​
Mathematics
1 answer:
Evgen [1.6K]2 years ago
7 0

Step-by-step explanation:

when the scale says 1:500000, then that means 1 unit in the map corresponds to 500000 units in reality.

and so, 3.2 cm on the map are

3.2 × 500000 cm in reality.

3.2 × 500000 = 1,600,000 cm = 16,000 m = 16 km

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If Miguel types 40 words per minute and he types for 30 minutes how many words will he have typed total? *
krok68 [10]

Answer:

1200 words

Step-by-step explanation:

If he types 40 words a minute, you have to multiply that by thirty because he typed 40 words 30 timers. 40 x 30=1200

8 0
3 years ago
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The model shows 1/2 . Which of the following correctly models and gives the quotient of 1/2 / 3/8 ?
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1/2 / 3/8 =
1/2 * 8/3 =
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Aubrey is making cone-shaped hats for a birthday party. She mistakenly thinks that she will need about 104 square inches of pape
Mashutka [201]

Answer:

Option C. is the correct option.

Step-by-step explanation:

Given question is incomplete; here is the complete question.

Aubrey is making cone-shaped hats for a birthday party. She mistakenly thinks that she will need about 104 square inches of paper for each hat.

Cone with diameter six inches and slant height eight inches.

What is the correct amount of paper Aubrey will need per hat? Explain Aubrey’s mistake. Use 3.14 for π and round to the nearest inch.

A.  About 70 in2; Aubrey found the surface area of the cone, but did not include the base.

B.  About 70 in2; Aubrey used the diameter instead of the radius to find the surface area of a cone.

C.  About 75 in2; Aubrey found the surface area of the cone and included the base.

D.  About 75 in2; Aubrey found the volume of the cone instead of the surface area.

Lateral surface area of a cone = Paper required to for each hat

Lateral surface area = πrl

Here r = radius of the cone

l = lateral height of the cone

Lateral surface area = π(3)(8)

                                 = 75.36 square inches

                                 ≈ 75 square inches

Therefore, total paper required for each cap is about 75 square inches.

Total surface area of the cone (Lateral area + Area of the base)

= πr(r + l)

= 3.14(3)(3 + 8)

= 103.62

≈ 104 square inches.

Aubrey did a mistake by finding the total surface area (including base area) of the cone instead of lateral surface area.

Therefore, option C. is the correct option.

7 0
3 years ago
A shipping container is in the shape of a right rectangular prism with a length of 8 feet, a width of 3.5 feet, and a height of
harkovskaia [24]

Answer:

Volume = 8 * 3.5 * 14.5 =

406 cubic feet

.65 pounds / cubic foot * 406 =

263.9 pounds

Step-by-step explanation:

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3 years ago
4. 110 in. = _<br>ft_<br>in.​
aliina [53]

Answer:

110 in. = 9  1/6 ft, or 9 ft 2 in

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Please try to do a better job of formatting your next question.  Thanks.

110 in       1 ft

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