All categories

2 years ago

Jane wants to determine the shortest route from her home to her workplace.

Mathematics

2 answers:

Gelneren [198K]2 years ago

8 0

Answer:

did anyone figure this out

nikitadnepr [17]2 years ago

5 0

Answer:

15 blocks I think

Step-by-step explanation:

The first step would be to move forward three blocks north. Next you would take a sharp angle to the northeast for a total of 3.6 blocks. We found this number treating the angle as the hypotenuse of a triangle. Using the Pythagorean theorem: A^2 + B^2 = C^2. By this logic we can find that 6^2 + 3^2 = C^2 or 45. Then you must find the square root of 45 in order to discover what the distance of C was. Later, after moving two more blocks to the north and to the east, we must use the Pythagorean theorem again to calculate the distance of the next angle. This is a total of 6.7 blocks. After adding all these values together you get a total of 15.3 blocks that Jane has to walk to get to work.

(I am unsure if this is the correct way to solve the problem. This is how I found this answer tho and it told me I was correct. Good luck ;))

You might be interested in

Which of the following graphs could be the graph of the function f(x) = x4 + x3 – x2 – x?

vitfil [10]

Solution-

The given function is,

$f(x) = x^4+ x^3-x^2-x$

$= x^3(x+1)- x(x+1)$

$= (x+1)(x^3-x)$

$= (x+1)x(x^2-1)$

$= (x+1)x(x+1)(x-1)$

$= {(x+1)}^2x(x-1)$

Therefore, at x=0, -1, 1 , f(x) will be 0 . Hence, 0, -1 ,1 are the x-intercepts.

Plotting the graph on desmos, the graph will be as in the attachment.

7 0

2 years ago

Read 2 more answers

The equation A(t) = 900(0.85)t represents the value of a motor scooter t years after it was purchased. Which statements are also

ValentinkaMS [17]

Answer:

When new, the scooter cost $900

Step-by-step explanation:

The complete question in the attached figure

we have

$A(t)=900(0.85)^t$

This is a exponential function of the form

$A(t)=a(b)^t$

where

A(t) ----> represent the value of a motor scooter

t ----> the number of years after it was purchased

a ---> represent the initial value or y-intercept

b is the base of the exponential function

r is the percent rate of change

b=(1+r)

In this problem we have

$a=\$900\\b=0.85$

The base b is less than 1

That means ----> is a exponential decay function (is a decreasing function)

Find the percent rate of change

$b=(1+r)\\0.85=1+r\\r=0.85-1\\r=-0.15$

Convert to percentage (multiply by 100)

$r=-15\%$ ---> negative means is a decreasing function

Verify each statements

case A) When new, the scooter cost $765.

The statement is false

Because the original value of the scooter was $900

case B) When new, the scooter cost $900

The statement is true (see the explanation)

case C) The scooter’s value is decreasing at a rate of 85% each year

The statement is false

Because the scooter’s value is decreasing at a rate of 15% each year (see the explanation)

case D) The scooter’s value is decreasing at a rate of 0.15% each year

The statement is false

Because the scooter’s value is decreasing at a rate of 15% each year (see the explanation)

8 0

2 years ago

Zach read a book for 10 minutes every weekend in the first month, 20 minutes in the second month, 40 minutes in the third month,

den301095 [7]

Zach time of reading every weekend forms a sequence with these terms: 10, 20, 40, 80. On the other hand, that of Victoria forms a sequence with terms: 35, 50, 65, 80. By keenly observing the sequences, Zach's sequence is a geometric sequence with a common ratio equal to 2 and Victoria's sequence is an arithmetic or linear sequence with a common difference of 15. Thus, the answer is letter B.

5 0

2 years ago

Read 2 more answers

Aramis is adjusting a satellite because he finds it is not focusing the incoming radio waves perfectly. The shape of his satelli

Alika [10]

Given the equation of the parabola

$(x-4)^2=3(y-3).$

The vertex of this parabola is placed at point (4,3).

If the equation of the parabola is $(x-x_0)^2=2p(y-y_0),$ then

$2p=3,\\ \\p=1.5.$

The coordinates of the parabola focus are

$\left(x_0,y_0+\dfrac{p}{2}\right).$

Therefore, the focus is placed at point (4,3,75).

Answer: option D, 0.75 in. above the vertex

3 0

2 years ago

Read 2 more answers

Which table represents a linear function?

Nana76 [90]

Answer: table 1.

Step-by-step explanation: This is because the x-axis is going up by 2 and the y-axis is also going up by 2. There is a pattern and when you would graph it, it will be linear as it goes up by the same amount

4 0

1 year ago