What is the measure of angle R? A. 30° B. 50° C. 100° D. 180°

g A 5 foot tall man walks at 10 ft/s toward a street light that is 20 ft above the ground. What is the rate of change of the len

vredina [299]

Answer:

$-\frac{10}{3}ft/s$

Step-by-step explanation:

We are given that

Height of man=5 foot

$\frac{dy}{dt}=-10ft/s$

Height of street light=20ft

We have to find the rate of change of the length of his shadow when he is 25 ft form the street light.

ABE and CDE are similar triangle because all right triangles are similar.

$\frac{20}{5}=\frac{x+y}{x}$

$4=\frac{x+y}{x}$

$4x=x+y$

$4x-x=y$

$3x=y$

$3\frac{dx}{dt}=\frac{dy}{dt}$

$\frac{dx}{dt}=\frac{1}{3}(-10)=-\frac{10}{3}ft/s=-\frac{10}{3}ft/s$

Hence, the rate of change of the length of his shadow when he is 25 ft from the street light= $-\frac{10}{3}ft/s$

7 0

3 years ago

Zoe is purchasing a birthday card for a relative. After shopping at four other stores, Zoe purchases the card at Gifts and More.

Aleksandr [31]

Answer:

It's A.

Step-by-step explanation:

I hope this answers your question correctly!

5 0

3 years ago

A bag contains 5 red marbles 3 green marbles 2 purple marbles 2 orange marbles and 1 blue marble which color is less likely to b

vichka [17]

Answer:

blue

Step-by-step explanation:

Its blue because if purple has 2 and blue has 1 then its blue which you are most likely to pick purple then blue

3 0

3 years ago

Read 2 more answers

How can I solve these problems

KATRIN_1 [288]

Answer:

Step-by-step explanation:

Easy the three angles of a triangle equal 180 degrees

so 60+75 = 135 --> 180-135=

1) 145

2) 35

3) no since the tops a 100 and its a Isosceles triangle two corners left it be 40 for each corner

4) 34 for both x's cause 34+34+112. = 180

5) 180- 120= 60- 10 = 50/4 is (12.5)= x

6) x = 15 cause it be 120- 60 to get 60

4 0

3 years ago

Read 2 more answers

What is the shape of the graph of the function?<br> g(x)= 3/2 (2/3) ^x

Andrew [12]

Answer:

Please check the attached graph.

From the graph, it is clear that option B is the correct option.

Step-by-step explanation:

Given the function

$g\left(x\right)=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^x$

Determining the y-intercept

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

so

substituting x = 0 in the fuction

$y=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^x$

$y=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^0$

Apply rule: $a^0=1,\:a\ne \:0$

$y=1\cdot \frac{3}{2}$

$y=\frac{3}{2}$

$y = 1.5$

Therefore, the point representing the y-intercept is:

(0, 1.5)

Determining the x-intercept

We know that the value of the x-intercept can be determined by setting y = 0, and determining the corresponding value of x.

so

substituting y = 0 in the function

$0=\frac{3}{2}\left(\frac{2}{3}\right)^x$

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

$\left(\frac{2}{3}\right)^x=0$

We know that $a^{f\left(x\right)}$ can not be zero or negative for x ∈ R

Thus, NONE represents the x-intercept.

Please check the attached graph.

From the graph, it is clear that option B is the correct option.

5 0

3 years ago