Chris rode his bike along the same route every day for 60 day. He logged that he had gone exactly 127.8 miles. How many miles did he bike each day?show work PLEASE HELP

Answers

Answer 1
Answer: You have to do 127.8 divided by 60 which is2.13Chris biked 2.13 miles a day

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In a right triangle, angle C measures 40. the hypotenuse of the triangle is 10 inches long. what is the approximate length of the side adjacent to angle C

What is the simplest form of the decimal 0.39 as a fraction?

Answers

0.39
The ans = 39/100

What is the area of the whole rectangle

Answers

Answer:

Step-by-step explanation:

it is divided into 4 rectangles

first rectangle ( 100 cm ^2)

area = l × b

= 10 × 10 = 100 cm^2

second rectangle ( 60 cm^2)

area = l × b

= 6 × 10 = 60 cm^2

third rectangle ( 20 cm^2)

area = l × b

= 2 × 10 = 20 cm^2

fourth rectangle ( 12 cm^2)

area = l × b

= 2 × 6 = 12 cm^2

so total area of the rectangle = 100 + 60 + 20 + 12 cm^2

= 192 cm^2

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Find the values of x and y.

Answers

Angles in a triangle may or may not be congruent.

The values of x and y are 90 and 47, respectively.

From the figure, we have:

\mathbf{AD \perp BC}

This means that, angle x is a right-angle.

So, we have:

\mathbf{x = 90}

Triangle ABC is an isosceles triangle.

So, we have:

\mathbf{\angle B = \angle C = 47}

The measure of y is then calculated as:

\mathbf{y + \angle B + x = 180} --- sum of angles in a triangle

This gives

\mathbf{y + 47 + 90 = 180}

\mathbf{y + 137 = 180}

Subtract 137 from both sides

\mathbf{137 = 43}

Hence, the values of x and y are 90 and 47, respectively.

Read more about triangles at:

brainly.com/question/22227896

Applying the properties of Isosceles triangle and the sum of triangle theorem, the values of x and y in the image given are:

x = 90^(\circ)\n\ny = 47 ^(\circ)

Recall the properties of Isosceles Triangle:

An isosceles triangle has equal base angles an two equal legs that are opposite the base angles.

Triangle ABC is an isosceles triangle.

  • Therefore:

m<ACD = m<ABD = 47 degrees

Find y:

y = (1)/(2) (180 - (m \angle ACD + m \angle ABD))

  • Substitute

y = 1/2(180 - (47 + 47))

y = 43 degrees.

Find x:

x = 180 - (y + m<ABD)

  • Substitute

x = 180 - (43 + 47) (sum of triangle)

x = 90 degrees

Therefore, applying the properties of Isosceles triangle and the sum of triangle theorem, the values of x and y in the image given are:

x = 90^(\circ)\n\ny = 47 ^(\circ)

Learn more here:

brainly.com/question/15214190

12. Given y-3 = (x + 1), convert it to standard form.​

Answers

Answer:

x - y = -4

Step-by-step explanation:

Standard Form: Ax + By = C

A is non-negative

Step 1: Define equation

y - 3 = (x + 1)

Step 2: Solve to Standard Form

  1. Add 3 to both sides: y = x + 4
  2. Subtract x on both sides: y - x = 4
  3. Factor out negative: -(x - y) = 4
  4. Divide by -1 on both sides: x - y = -4

-y + (x + 1) = -3 would be the answer in standard form.

Water coming out from a fountain is modeled by the function: f(x)=−x2+6x+6
Where f(x) represents the height, in feet, of the water from the fountain at different times x, in seconds.

What does the average rate of change of f(x) from x = 2 to x = 5 represent?

a.The water travels an average distance of 4 feet from 2 seconds to 5 seconds.

b.The water travels an average distance of 1 foot from 2 seconds to 5 seconds.

c.The water falls down with an average speed of 2 feet per second from 2 seconds to 5 seconds.

d. The water falls down with an average speed of 1 foot per second from 2 seconds to 5 seconds.

Answers

Average rate of change from x = 2 to x = 5 is (f(5) - f(2))/(5 - 2) = ((-(5)^2+6(5)+6) - (-(2)^2+6(2)+6))/3 = ((-25+30+6) - (-4+12+6))/3 = (11 - 14)/3 = -3/3 = -1

Therefore, the water falls down with an average speed of 1 foot per second from 2 seconds to 5 seconds.
Average speed = change in position / change in time.
m = (f( b ) - f ( a )) / ( b - a )
a = 2,  b = 5
f ( a ) = f ( 2 ) = - 4 + 12 + 6 = 14
f ( b ) = f ( 5 ) = - 25 + 30 + 6 = 11
m = (11-14) / (5-2) = -3/3 = -1
Answer: D ) The water falls down with an average speed of 1 foot per second from 2 seconds to 5 seconds. 

In the U.S., from 2004−2015, the correlation coefficient for the relationship between the size of a cell phone data plan, x, and the number of text messages sent, y, is R=+0.97. Describe the relationship between the data plan size and the number of text messages sent in the U.S.

Answers

Answer: As the data plan increases, the text messages also increases. It's Perfectly straight line and positive correlation.

Step-by-step explanation:

From the question, we are told that the correlation coefficient for the relationship that exists between the size of cell phone data plan, x, and number of text messages sent, y, is R=+0.97.

This shows that a positive correlation exist between both variables. A positive correlation is a relationship that exist between two variables whereby both variables move in tandem, that is, they move in the same direction. In this equation, a positive correlation exists as one variable increases, the other increases. As data plan increases, the text messages also increases.