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3 years ago

Least to greatest -2, -3/4, -0.45, 3%, 0.36

Mathematics

1 answer:

Crank3 years ago

8 0

Answer:

$\large\boxed{-2,\ -\dfrac{3}{4},\ -0.45,\ 3\%,\ 0.36}$

Step-by-step explanation:

We convert some numbers to decimal fractions:

-2 = -2.00

-3/4 = -0.75

-0.45

3% = 0.03

0.36

We order

-2, -0.75, -0.45, 0.03, 0.36

$\dfrac{3}{4}=\dfrac{3\cdot25}{4\cdot25}=\frac{75}{100}=0.75$

other method

$\dfrac{3}{4}=3:4=0.75$ (use a calculator)

$p\%=\dfrac{p}{100}\to 3\%=\dfrac{3}{100}=0.03$

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Eugene noticed the temperature had dropped by 8 degrees from 17. What was the new temperature?

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3 years ago

The interior angle of a regular polygon is five times its corresponding exterior angle. Find the

tiny-mole [99]

Answer:

Step-by-step explanation:

Regular polygon is one in which each angle and sides is congruent.

Sum of all the exterior angles of any polygon is 360.

Sum of all the interior angles of any polygon is (2n-4)*90

where is n is the no. of sides of polygon.

Let n be the no. of sides of polygon required

Therefore,

Sum of all the interior angles of polygon = (2n-4)*90

since no of sides of polygon is n

therefore, value of each interior angles of the polygon = (2n-4)*90/n (A)

Sum of all the exterior angles of any polygon = 360.

value of each exterior angles of the polygon = 360/n (B)

Given that

The interior angle of a regular polygon is five times its corresponding exterior angle (c)

using the statement A, B and C

(2n-4)*90/n = 5*360/n

1/n is common on both side, hence it gets cancelled.

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3 years ago

Mr. Mole left his burrow and started digging his way down at a constant rate. Time (minutes) Altitude (meters) 666 -20.4−20.4min

Juli2301 [7.4K]

Answer:

$-6$ meters.

Step-by-step explanation:

We have been given Mr. Mole left his burrow and started digging his way down at a constant rate.

We are also given a table of data as:

Time (minutes) Altitude (meters)

6 -20.4

9 -27.6

12 -34.8

First of all, we will find Mr. Mole's digging rate using slope formula and given information as:

$m=\frac{y_2-y_1}{x_2-x_1}$ , where,

$y_2-y_1$ represents difference of two y-coordinates,

$x_2-x_1$ represents difference of two corresponding x-coordinates of y-coordinates.

Let $(6,-20.4)$ be $(x_1,y_1)$ and $(9,-27.6)$ be $(x_2,y_2)$ .

$m=\frac{-27.6-(-20.4)}{9-6}$

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$m=\frac{-7.2}{3}$

$m=-2.4$

Now, we will use slope-intercept form of equation to find altitude of Mr. Mole's burrow.

$y=mx+b$ , where,

m = Slope,

b = The initial value or the y-intercept.

Upon substituting $m=-2.4$ and coordinates of point $(6,-20.4)$ , we will get:

$-20.4=-2.4(6)+b$

$-20.4=-14.4+b$

$-20.4+14.4=-14.4+14.4+b$

$-6=b$

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