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3 years ago

Which statement describes the relationship between x and y in these two equations?

Mathematics

2 answers:

Gnesinka [82]3 years ago

8 0

Answer:

answer is definetly B

Step-by-step explanation:

marysya [2.9K]3 years ago

4 0

Answer:

The correct option is B.

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3. A person standing 3 feet away from the base of a lamp post casts a shadow 4 feet long. If the person is 6 feet tall and walks

german

Answer:

533.33 ft/min

Step-by-step explanation:

We are given that

x=3 feet

y=4 feet

Height of person,h=6 feet

$\frac{dx}{dt}=400 ft/min$

Triangle ABC and A'B'C are similar because all right triangles are similar

By using similarity property

$\frac{h'}{6}=\frac{7}{4}$

$h'=10.5 feet$

$x+y=3+4=7 feet$

$\frac{h'}{6}=\frac{x+y}{y}$

$\frac{10.5}{6}=\frac{x+y}{y}$

$10.5y=6x+6y$

$10.5y-6y=6x$

$4.5y=6x$

Differentiate w.r.t t

$4.5\frac{dy}{dt}=6\frac{dx}{dt}$

$\frac{dy}{dt}=\frac{6\times 400}{4.5}ft/min$

$\frac{dy}{dt}=533.33ft/min$

Hence, If the person is 6 feet tall and walks away from the lamp post at a speed of 400 feet per minute then his shadow moving at the rate 533.33 ft/min

7 0

3 years ago

Solve the one step inequality.

snow_lady [41]

Answer:

x≥9

Step-by-step explanation:

I hope this helps you

4 0

3 years ago

Read 2 more answers

If guy walks from his house to school and back,how far does he walk?

Serga [27]

He walked the same distance to school and back home.
I hope this helped! :-)

8 0

4 years ago

Read 2 more answers

For a party in kindergarten balloons of three colors were bought: red, green, and yellow. There were 40 red balloons, the number

marta [7]

Answer: Total number of balloons are 100

and part of balloon is blown up is $\frac{1}{20}$ .

Step-by-step explanation:

Since we have given that

Number of red balloons = 40

Number of green balloons is given by

$\frac{3}{5}\times 40\\\\=3\times 8\\\\=24$

Number of yellow balloons is given by

$24\times \frac{3}{2}\\\\=12\times 3\\\\=36$

So, Total number of balloons were brought to the kindergarten is given by

$40+24+36=100$

Number of red balloons are popped is given by

$\frac{1}{20}\times 40\\\\=2$

Number of green balloons are popped is given by

$\frac{1}{12}\times 24\\\\=2$

Number of yellow balloons are popped is given by

$\frac{1}{36}\times 36\\\\=1$

total number of balloons are blown up is given by

$2+2+1=5$

Therefore, Part of balloon is blown up is given by

$\frac{5}{100}=\frac{1}{20}$

Hence, Total number of balloons are 100

and part of balloon is blown up is $\frac{1}{20}$ .

3 0

4 years ago

An employee produced 9/2 widgets in 1/6 hour .how many widgets does she produce per hour

puteri [66]

To get her output per hour, you will have to divide her output by the time she took to produce it (in hour)

So per hour she would produce:

9/2 ÷ 1/6 = 9/2 x 6 = 27

The answer is 27 widgets per hour

8 0

3 years ago