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3 years ago

What is an irrational number? and what are some examples

Mathematics

1 answer:

Gekata [30.6K]3 years ago

7 0

A rational number is any number that can be expressed as the quotient or fraction

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A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along

mina [271]

Answer:

The tip of the man shadow moves at the rate of $\frac{20}{3} ft.sec$

Step-by-step explanation:

Let's draw a figure that describes the given situation.

Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.

Here it forms two similar triangles.

Let's find the distance "y" using proportion.

From the figure, we can form a proportion.

$\frac{y - x}{y} = \frac{6}{15}$

Cross multiplying, we get

15(y -x) = 6y

15y - 15x = 6y

15y - 6y = 15x

9y = 15x

y = $\frac{15x}{9\\} y = \frac{5x}{3}$

We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).

$\frac{dy}{t} = \frac{5}{3} \frac{dx}{dt}$ ----(1)

We are given $\frac{dx}{dt} = 4 ft/sec$ . Plug in the equation (1), we get

$\frac{dy}{dt} = \frac{5}{3} *4 ft/sect\\= \frac{20}{3} ft/sec$

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.

7 0

3 years ago

What is the length of the base if the area is 32 cmand the height is 4 cm

vovikov84 [41]

Answer:

128,8,28,36

Step-by-step explanation:

if u multiply 32 times 4 u get 128 but if u subtract them u get 28

but if u divide them then u get 8 but if u also add them u get 36

7 0

3 years ago

1. Juan bought a pair of shoes costing P923.00 and a tie costing P275.00. He gave the seller P2, 000.00. How much change did he

EleoNora [17]

$2000.00-923.00-275.00=802.00$

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3 years ago

Write a unit rate for: 12 pounds for $17.88.

Vika [28.1K]

Answer:

.67

Step-by-step explanation:

12/17.88=.67

8 0

3 years ago

What Is the y-intercept of the two points that cross through (8,1) and (-3,1)?

kramer

Answer:

(0,1)

Step-by-step explanation:

The line made by these two points is perfectly horizontal since the value of y in both points is the same. When the y value is the same in all given points, that number is also the y-intercept and the line doesn't cross the x axis.

(The opposite applies as well: If the x value is the same in all given points, that number is also the x-intercept and the line doesn't cross the y axis. In that case, that means the line is vertical)

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3 years ago