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Mumz [18]
3 years ago
8

A circular track is 1/4 mile long. Elena runs on this track, completing each lap in 1/20 of an hour. What is Elena's speed? Incl

ude the unit of measure
Mathematics
1 answer:
svp [43]3 years ago
3 0

Answer:

  5 mph

Step-by-step explanation:

The relation between speed, distance, and time is ...

  speed = distance/time

Filling in the given values, we find the speed to be ...

  speed = (1/4 mi)/(1/20 h) = (1/4)(20/1) mi/h = 5 mi/h

Elena's speed is 5 miles per hour.

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Which is the cheapest per ounce: a 2-L bottle (67.6 oz.) of root beer at $1.49, a six-pack of 20-oz. bottles at $2.49, or a twel
KatRina [158]
Divide 1.49$ by 67.6oz=.020414201
Divide 2.49$ by 120oz=.02075
Divide 2.99$ by 144oz=.0207638889
So the cheapest per ounce is the 2L bottle of rootbeer
8 0
3 years ago
Please please help me find the volume and surface area i’ll give brainliest
kondor19780726 [428]

Answer:

Area: 272ft²

Volume = 82.6236447189ft³

Step-by-step explanation:

AREA

The area of a square pyramid is found by combining the area of the base and the area of the triangular faces:

Area of base = area of square = L² = 8² = 16ft²

Area of one triangular face = (1/2)bh = (1/2)(8)(16) = 64ft²

There are four triangular faces so the total area = 16+4(64)= 16+256= 272 ft²

VOLUME

The volume of a square pyramid = (a²)(h/3), where a is the length of the base and h is the length from the top of the pyramid to the middle of the square.

We are given a, but not h. To find h, we must imagine a right-angled triangle within the pyramid, where 16ft is the hypotenuse, h is the height and the base is half of a (since the base is a square and the distance is from the edge to the middle). We can then use pythagorus's theorem to find h:

A²=B²+C²

16²=(8/2)²+h²

256=16+h²

h=√240

h=15.4919333848ft

Knowing h, we can find the volume:

Volume = (a²)(h/3)

Volume = (8²)(15.4919333848/3)

Volume = (16)(5.16397779493)

Volume = 82.6236447189ft³

8 0
3 years ago
What is Product cost
stiks02 [169]

Answer:

Production or product costs refer to the costs incurred by a business from manufacturing a product or providing a service. Production costs can include a variety of expenses, such as labor, raw materials, consumable manufacturing supplies, and general overhead

Step-by-step explanation:

8 0
3 years ago
Pls help me with this it’s due in one day
fenix001 [56]

Analyze picture

since both sides are congruent, ang H-I-G= angle H-G-I

angle H-I-G=32 degrees, so H-G-I is 32 degrees as well

180-32-32=

180-64=

116

x=116 degrees

it is an obtuse triangle

4 0
3 years ago
DESCRIBE IN WORDS THE TRANSLATION OF x represented by the translation rule <-6,8> (X) A. 6 units to the right and 8 units
Valentin [98]

Given:

Translation of x represented by the translation rule <-6,8>.

To find:

The correct statement for the given rule of translation.

Solution:

Rule of translation is <-6,8>.

Here, x-coordinate represents horizontal shift and y-coordinate represents vertical shift.

x-coordinate is -6, which is negative. So, the figure translated 6 units left.

y-coordinate is 8, which is positive. So, the figure translated 8 units up.

Thus, translation in words is defined as "6 units to the left and 8 units up".

Therefore, the correct option is B.

5 0
3 years ago
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