MATHEMATICS MIDDLE SCHOOL

Emmett participated in a race. During the race, he ran 5 miles north and then ran 12 miles west. What is the shortest distance that Emmett must travel to return to the starting point?

Answers

Answer 1
Answer: I'd suggest you sketch this situation.  If you did, you'd likely see right away that the shortest distance back to the starting point would be the hypotenuse of the right triangle whose legs are of lengths 5 miles and 12 miles.

Apply the Pythagorean Theorem to solve this.

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Explain how you know whether to add or subtract when he use the distributive property to multiply

Answers

if the letter is next to the number you multiply

Can someone help me please​

Answers

Neither, they both have the same amount of battery.

Explanation: Stella is 4/6 charged. Stanley is 2/3 charged. When 4/6 is reduced, the equivalent fraction is 2/3.

Answer:

the battery is equivalent, if that is not a choice I would go with stanly

A square and a circle have equal areas. Which shape has shorter perimeter?

Answers

The circle has shorter perimeter
you would first have to find the circumference of the circle, which is \pi *d ,
then you would compare that perimeter to the perimeter of the square.

How do u measure to the nearest inch

Answers

If the answer is above 1/2 inch round it to 1 inch, if it is below 1/2 inch round it to 0, or the nearest  number below it....hope it helps
If the answer is above 1/2 inch round it to 1 inch, if it is below 1/2 inch round it to 0, or the nearest  number below it....hope it helps

How much is a milliliter

Answers

-- 236 of them make 1 cup
-- 946 of them make 1 quart
-- the volume of a tiny cube that's 1 centimeter along each edge
-- 16.4 of them in a little cube that's 1 inch along
-- 4.9 of them make a standard cooking teaspoon
-- a perfume that cost $50 an ounce would cost $1.69 per milliliter
If you mean by 'How much is a milliliter to a litre'
It would be equivalent to:
1 milliliter = 0.001 litres

The sector shows the area of a lawn that will be watered by a sprinkler. What is the area, rounded to the nearest tenth? Use 3.14 for

Answers

The area of the sector which representsthe lawn irrigated by the sprinkler is: \mathbf{ 95.5 $ ft^2}

Recall:

  • Area of sector = (\theta)/(360) * \pi r^2
  • Length of arc = (\theta)/(360) * 2 \pi r

Given:

\theta = 30^(\circ)

length of arc = 10 feet

First, find the radius using the length of arc formula.

(\theta)/(360) * 2 \pi r

  • Substitute

10 = (30)/(360) * 2 * 3.14 * r\n\n10 = 0.52r\n\nr = (10)/(0.52) \n\nr = 19.2

radius = 19.2 ft

Find the area of the sector:

Area of sector = (\theta)/(360) * \pi r^2

  • Substitute

= (30)/(360) * * 3.14 * 19.2^2\n\n\mathbf{= 95.5 $ ft^2}

The area of the sector which representsthe lawn irrigated by the sprinkler is: \mathbf{ 95.5 $ ft^2}

Learn more here:

brainly.com/question/14117642

Answer:

95.5\ ft^2

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

A circumference of the circle subtends a central angle of 360 degrees

so

using proportion

(2\pi r )/(360^o)=(10)/(30^o) \n\nr=(360(10))/(2(3.14)(30))\n\nr= 19.1\ ft

step 2

Find the area of sector

we know that

The area of the circle subtends a central angle of 360 degrees

so using proportion

Let

x ----> the area of the sector

(\pi r^(2))/(360^o)=(x)/(30^o)\n\nx=(3.14(19.1^2)(30))/(360)\n\nx=95.5\ ft^2
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