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
Korvikt [17]
2 years ago
5

Help please and thanks

Mathematics
1 answer:
STALIN [3.7K]2 years ago
8 0

Answer:

Rate of change of length of shadow is \frac{15}{7} ft/s

Step-by-step explanation:

Consider the figure

We have

\begin{aligned}&\frac{d x}{d t}=\text { rate of person walking } \\&\frac{d y}{d t}=\text { rate of change of shadow length } \\&\frac{d x}{d t}+\frac{d y}{d t}=\text { rate of change of tip of shadow }\end{aligned}

\begin{aligned}&\frac{6}{20}=\frac{y}{x+y} \\&6(x+y)=20 y \\&6 x+6 y=20 y \\&6 x=14 y\end{aligned}

6\left(\frac{d x}{d t}\right)=14\left(\frac{d y}{d t}\right)\\\\6(5)=14\left(\frac{d y}{d t}\right)\\\\\frac{30}{14}=\frac{d y}{d t}\\\\\frac{15}{7}=\frac{d y}{d t}\\\\

Rate of change of length of shadow is \frac{15}{7} ft/s

You might be interested in
Solve for x using the<br> distributive property.<br> 9(5 - x) = 81<br> x = [?]
Ilya [14]

Answer:

\boxed {x = -4}

Step-by-step explanation:

Solve for the value of x:

9(5 - x) = 81

-Use <u>Distributive Property</u>:

9(5 - x) = 81

45 - 9x = 81

-Subtract 45 to both sides:

45 - 45 - 9x = 81 - 45

-9x = 36

-Divide both sides by:

\frac{-9x}{-9} = \frac{36}{-9}

\boxed {x = -4}

So, the value of x is -4.

8 0
4 years ago
Dear math why don't you grow up and solve your own problems
VMariaS [17]

Answer:

LOL

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
PLEASE HELP 30 POINTS.
Nookie1986 [14]

Answer:


Step-by-step explanation:

Note that the four input values, {3,4,6,11}, are all unique.  Each has exactly one y value associated with it.  This is an important criterion when we're deciding whether a relation is a function or not.

Suppose that we added one more input and its associated output:

{3,4,4,6,11}

If it happened that different values of y were associated with the two 4's, then we know immediatel that this relation is not a function.

5 0
4 years ago
Find the slope of ther line that goes through the points (-9,-4) and (-3,-6)
sleet_krkn [62]

Answer:

slope = - \frac{1}{3}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 9, - 4) and (x₂, y₂ ) = (- 3, - 6)

m = \frac{-6+4}{-3+9} = \frac{-2}{6} = - \frac{1}{3}

5 0
4 years ago
What is the kinetic energy of an object of mass of 30 K moving with a speed of 15 M/S2
ale4655 [162]

You literally need to apply the formula

K=\dfrac{1}{2}mv^2

where m is the mass and v is the speed

5 0
3 years ago
Other questions:
  • If an angle measures more than 90°, then it is an obtuse angle. What is the converse of this statement? Select one: a. If an ang
    11·1 answer
  • The Burke family is taking a 3-week vacation to Alaska. How many days will their vacation last?
    11·1 answer
  • Solve the filtering inequality 2.9(x+8)&lt;26.1?
    13·1 answer
  • Y^2/4 + y/3 + y^2/3 - y/5
    8·1 answer
  • Simplify (3x^2-4x+1)-(5x^2-2x+1).
    7·2 answers
  • Kristen spent $165 on shirts. Fancy shirts cost $15 and plain shirts cost $10. If she bought a
    10·1 answer
  • Consider the enlargement of the triangle.
    12·2 answers
  • Please help!!
    6·1 answer
  • How can I find the answer for number 1 and 4 with explanation?​
    12·2 answers
  • Zero and negative exponentswrite in simplest for without zero or negative exponents- 17 ⁰
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!