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kupik [55]
3 years ago
5

The label on a large bag of flour states that it has 2 times as many cups of flour as a small bag. Casey measures 16 cups of flo

ur in the small bag.
Which multiplication sentence shows how many cups of flour are in the large bag? (A) 2×2=4
(B) 2×8=16
(C) 2×16=32
(D) 16×16=256
Mathematics
1 answer:
inna [77]3 years ago
7 0
It would be B because it has 16 cups
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Answer:

its 100

Step-by-step explanation:

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1. You are standing on top of a ridge using a clinometer trying to figure out how far your dog has wandered off in
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<u>Given:</u>

It is given that the ridge is 360 inches tall.

<u>Assumptions:</u>

Assume you are 170.1 cm tall which equals 67 inches tall, the height from your eye to the floor is 360+67 = 427 inches.

The distance from your eye level to the bottom of the ridge is 427 inches.

Assume the angle A is 60°.

<u>To find the distance from you to your dog.</u>

<u>Solution:</u>

A right-angled triangle can be formed where the angle is 60°, the distance between you and the dog is the hypotenuse of the triangle and your height from the floor is the adjacent side of the triangle.

Assume the hypotenuse of the triangle measures x inches.

To determine the length of the hypotenuse, we determine the cos of the angle.

cos \theta = \frac{adjacent side}{hypotenuse} .

cos A = \frac{427}{x} , x = \frac{427}{cos60} , cos60=0.5.

x=\frac{427}{0.5} = 854.

So if the ridge is 360 inches tall and you are 67 inches tall and the angle A is 60°, the distance between your dog and you is 854 inches.

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A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. If the
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Answer:

<u>The area of the rectangular field is 20,000 square meters.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of times a person jogged along the rectangular field = 10

Speed of the person jogging = 12 km per hour

Time he/she jogged = 30 minutes = 0.5 hours

Length of the field = twice its width

2. Find the area of the field in square meters.

Step A: Let's calculate the distance the person jogged

Let's recall the formula of the speed:

Speed = Distance/Time

Distance = Speed * Time

Replacing with the values we know:

Distance = 12 * 0.5

<u>Distance = 6 kilometers</u>

Step B: Let's calculate the perimeter of the rectangular field

Distance jogged = ¨Perimeter * 10

6 kilometers = Perimeter * 10

Perimeter = 6/10

<u>Perimeter = 0.6 kilometers = 0.6 * 1,000 = 600 meters</u>

Perimeter = 2 * Length + 2 * Width

x = Width of the rectangular field

2x = Length of the rectangular field

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600 = 4x + 2x

600 = 6x

<u>x = 600/6 = 100 meters ⇒ 2x = 200 meters</u>

Step C: Let's calculate the area of the rectangular field

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