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2 years ago

How many angles are in an pentagon

Mathematics

1 answer:

blondinia [14]2 years ago

3 0

Answer:

Step-by-step explanation:

pentagon , penta (five in Greek) has 5 sides and 5 interior angles

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A 5-meter ladder is leaning against the side of a house. The foot of the ladder is pulled away from the house at a rate of 0.4 m

Flura [38]

<h2>The top of the ladder is descending at 0.3 m/s.</h2>

Step-by-step explanation:

By Pythagoras theorem we know that

Hypotenuse² = Base² + Perpendicular²

h² = b² + p²

We have for ladder

h = 5 m

b = 3 m

5² = 3² + p²

p = 4 m

$\frac{db}{dt}=0.4m/s\\\\\frac{dh}{dt}=0$

Differentiating h² = b² + p² with respect to time

$2h\times \frac{dh}{dt}=2b\times \frac{db}{dt}+2p\times \frac{dp}{dt}\\\\5\times 0=3\times 0.4+4\times \frac{dp}{dt}\\\\\frac{dp}{dt}=-0.3m/s$

The top of the ladder is descending at 0.3 m/s.

3 0

2 years ago

Need po ang answers ASAP nganong po exam namin

Sonja [21]

Opposite of the integers:
+56
+340
-39
-201
-1124

Solid figures:

Cube
Rectangular prism
Cylinder
Octahedron
Triangular pyramid

8 0

2 years ago

Which formulas can be used to find the surface area of a right prism where p is the perimeter of the base, h is the height of th

svetoff [14.1K]

Answer:

SA=BA+LA and SA=BA+ph

Step-by-step explanation:

I just looked it up

6 0

3 years ago

-10 -9 -8 7 Slope of the Line: Click twice to plot each segment. Click a segment to delete it. y -6 5 3 2 -1 10 9 8 7 6 5 J 2 -8

frutty [35]

Answer:

1/2

Step-by-step explanation:

The slope of a line is the ratio of "rise" to "run".

This line goes through grid intersections at (0, -7) and (2, -6), a rise of 1 unit for a run of 2 units to the right. The slope is ...

slope = rise/run = 1/2

3 0

2 years ago

Elena is paid a constant rate for each hour she works. The table shows the amounts of money that Elena earned for various amount

Nikolay [14]

Constant rates are used to illustrate linear functions.

The average rate of change is $9.0 per hour
The function that models the table is: $\mathbf{f(x) = 9x }$
The amount earned in 7.5 hours is $67.5

<u>(a) The average rate of change</u>

This is calculated using:

$\mathbf{Rate = \frac{y_2 -y_1}{x_2 -x_1}}$

So, we have:

$\mathbf{Rate = \frac{31.5-22.50}{3.5 - 2.5}}$

$\mathbf{Rate = \frac{9}{1.0}}$

$\mathbf{Rate = 9.0}$

Hence, the average rate of change is $9.0 per hour

<u>(b) A function that models the table of values</u>

Let x represent hours, and y represent the earnings.

So, we have:

$\mathbf{y =m (x - x_1) + y_1}$

Where:

m =Rate = 9.0

So, we have:

$\mathbf{y = 9(x - 2.5) + 22.5}$

Expand

$\mathbf{y = 9x - 22.5 + 22.5}$

$\mathbf{y = 9x }$

Represent as a function

$\mathbf{f(x) = 9x }$

Hence, the function that models the table is: $\mathbf{f(x) = 9x }$

<u>(c) Amount earned for 7.5 hours</u>

This means that x = 7.5

So, we have:

$\mathbf{f(7.5) = 9 \times 7.5 }$

$\mathbf{f(7.5) = 67.5}$

Hence, the amount earned in 7.5 hours is $67.5