1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
amm1812
3 years ago
6

The olympic record for the marathon is 2 h, 9 min, 21 s. the marathon distance is 26 mi, 385 yd. determine the average speed (in

miles per hour) of this record.
Mathematics
1 answer:
Vika [28.1K]3 years ago
5 0
The average speed of an object moving is its rate of change per time interval. It is equal to the total distance traveled divided by the total time it takes to travel that distance. We calculate the average speed of the olympic record as follows:

The units of the average speed should be miles per hour so we need to convert the distances in to miles and time into units of hours.
distance 1= <span>26 mi
distance 2 = 385 yd ( 1 mile / 1760 yd ) = 0.21875 mi
total distance = 26 + 0.21875 = 26.21875 mi

time 1 = 2 h
time 2 = 9 min ( 1 h / 60 min ) = 0.15 h
time 3 = 21 s ( 1 h / 3600 s ) = 0.0058 h
total time = 2 + 0.15 + 0.0058 = 2.1558 h

average speed = total distance / total time = 26.21875 mi / 2.1558 hr = 12.1620 mi / h</span>
You might be interested in
Please help me and explain the anwser
natita [175]
ANSWER: y=7 is the equation Of the line that passes to through the point (-2,7) and Has a slope of zero.
8 0
2 years ago
A rectangular pyramid. The rectangular base has a length of 10 inches and a width of 6 inches. 2 triangular sides have a base of
melisa1 [442]

Answer:

Answer:

a) The base of the rectangular pyramid shown has an area of

60 square inches

b) A triangular face with a base of 10 inches has an area of 28 square inches.

c) A triangular face with a base of 5 inches has an area of 17.75 square inches.

d) The total surface area of the pyramid is 151.5 square inches.

Step-by-step explanation:

a) Solving for question a, we were given the following parameters

A rectangular pyramid. The rectangular base has a length of 10 inches and a width of 6 inches

The formula used to calculate the rectangular base of a rectangular pyramid =

Length × Width

Where :

Length = 10 inches

Width = 6 inches

Rectangular base = 10 inches × 6 inches

= 60 inches²

Hence, the base of the rectangular pyramid shown has an area of 60 square inches

b) Solving for question b, we have the following values given:

2 triangular sides have a base of 10 inches and height of 5.6 inches.

First step would be to solve for one triangular side first.

The area of the one triangular side = (Base × Height) ÷ 2

= (10 inches × 5.6 inches) ÷ 2

= 56inches² ÷ 2

= 28 inches²

Therefore, for the 2 triangular sides, since they have the same base and height, the other side as well would be 28 inches².

A triangular face with a base of 10 inches has an area of 28 square inches.

c) Solving for question c, the following parameters are given:

2 triangular sides have a base of 5 inches and height of 7.1 inches.

We would be to solving for one triangular side first.

The area of the one triangular side = (Base × Height) ÷ 2

= (5 inches × 7.1 inches) ÷ 2

= 35.5 inches² ÷ 2

= 17.75 inches²

Therefore, for the 2 triangular sides, since they have the same base and height, the other side as well would be 17.75 inches².

A triangular face with a base of 5 inches has an area of 17.75 square inches.

d) Solving for d, it is important to note that, a rectangular pyramid has 5 faces and they are: The rectangular base and 4 triangular faces

The formula for the total surface area of the rectangular pyramid is given as

Total Surface Area of the rectangular pyramid = Rectangular Base + Area of Triangular Side A + Area of Triangular Side B + Area of Triangular Side C + Area of Triangular Side D + Area of Triangular Side E

Total Surface Area of the Rectangular Pyramid = 60 inches² + 28 inches² + 28 inches² + 17.75 inches² + 17.75 inches²

Total surface Area of the Rectangular pyramid = 151.5 inches²

The total surface area of the pyramid is 151.5 square inches.

Step-by-step explanation:

BRAINLIEST PLEASE?

3 0
3 years ago
What is the difference between decimal and binary numbering systems give examples of when you would use each?
vaieri [72.5K]

The difference between decimal and binary system are-

  • The base-10 system, often known as the decimal system, is the oldest and most widely used system of numbers.
  • The binary number system, often known as base 2, is used by computers.
<h3>What is decimal system?</h3>

Our daily use of numbers is based on a decimal number system, which uses 10 digits. A number system in mathematics is thought of as the use of digits or symbols to represent numbers.

  • The binary number system, the decimal number system, the octal number system, and the hexadecimal number system are the four primary varieties of the number system.
  • Given that it was challenging to multiply & divide big numbers by hand in earlier civilizations, this decimal system system is sometimes called as the Hindu-Arabic and Arabic number system.
<h3>What is binary system?</h3>

The base-2 number system is the binary system. That implies that it solely use the digits 0 and 1. The 1 one location is moved to its left into the 2s place when adding one to one, and a 0 is placed in the ones place, yielding the number 10. In such a base-10 system, 10 thus = 10. 10 = 2 in the base-2 system.

  • The place values in a base-2 system begin with ones and progress to twos, fours, then eights as one move to its left.
  • This is due to the base-2 system's foundation in powers of two.
  • A bit is the term for each binary digit.

Therefore, a binary number system only employs two different digits(0 and 1), whereas decimal number system includes ten different digits (ranging from 0 to 9).

To know more about decimal system, here

brainly.com/question/16913175

#SPJ4

6 0
2 years ago
A car is designed to last an average of 12 years with a standard deviation of 0.8 years. What is the probability that a car will
Scorpion4ik [409]
Due to the common probability formula I can solve that task. Refering to the task you gave, we have all the information we need. We solve it like that: \frac{10-12}{0.8} = -2.5; Probability(-2.5)=.0.00621; Probability = 0.621%
So the answer is the first option <span>0.621%</span>
5 0
3 years ago
Read 2 more answers
Fill in the blanks.<br><br> (x+_)^2=x^2+14x+_
Serga [27]

Step-by-step explanation:

(ax + b)² = a²x² + 2abx + b²

In this case, a = 1, so:

14 = 2b

b = 7

(x + 7)² = x² + 14x + 49

7 0
3 years ago
Other questions:
  • Between noon and 9pm the temperature dropped 10°F. If the temperature was -4°F at 9pm what was the temperature at noon ?
    12·1 answer
  • Find the first four common multiples for 3
    8·1 answer
  • A line passes through (9,-8) and has a slope of negative 4/3
    11·1 answer
  • Simplify the expression below.<br> √169
    8·2 answers
  • Pamela's age is three times Jiri's age. The sum of their ages is 72. What is Jiri's age?
    13·1 answer
  • What’s the answer to this???
    13·2 answers
  • can anyone help and explain why this is either proportional or not? urgent!! (it needs an explanation too)
    13·1 answer
  • The price of an item has risen to $120 today. Yesterday it was $40. Find the percentage increase.
    5·2 answers
  • The amount of money earned varieties directly with the numbers of hours spent babysitting .If Kayla baby sits for 3 hours she wi
    8·1 answer
  • Please help me with this.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!