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3 years ago

Which equation can be used to determine the distance between the origin and (–2, –4)?

Mathematics

1 answer:

Mashutka [201]3 years ago

6 0

When trying to determine the distance between two points, one would use the distance formula.

The distance formula is attached above and all you need to do is plug in the points in order to get the distance.

For example, if you were to plug them in, you would get:

√(0+4)^2 + (0+2)^2

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What is the volume of the box pictured below?

SpyIntel [72]

Answer:

The volume of the box is 3/4 cubic meters.

Step-by-step explanation:

We know that volume = length * width * height. We have length, width, and height already, so all we have to do is multiply.

5/6 * 1 1/8 * 4/5. First we convert 1 1/8 from a mixed fraction, to give us 9/8, as 8/8 = 1.

5/6 * 9/8 * 4/5. 5 * 9 = 45, and 6 * 8 = 48. 45/48 reduces to 15/16.

15/16 * 4/5. 15 * 4 = 60, and 16 * 5 = 80. 60/80 reduces to 6/8, which reduces to 3/4.

8 0

3 years ago

Read 2 more answers

How many full hours will it take for the number of amoeba to reach 1 million

dimulka [17.4K]

Answer:

250,000 hours

Step-by-step explanation:

if 2 amoeba takes half an hour then 4 amoeba will take 1 full hour then use 4 to divide 1 million.

If u were to use 2 amoeba to half an hour you will have to divide 1 million into two which is 500,00

5 0

2 years ago

What could be the mean of the data set below be misleading? Ages of teachers: 29, 38,39,26,29,29,39,77,38,29

Vlada [557]

Add them all up, and divide by 10 so 29+38+39+26+29+29+39+77+38+29 which is 33.5

4 0

4 years ago

The surface area of a given cone is 1,885.7143 square inches. What is the slang height?

kap26 [50]

Answer:

If $r >> h$ , the slang height of the cone is approximately 23.521 inches.

Step-by-step explanation:

The surface area of a cone (A) is given by this formula:

$A = \pi \cdot r^{2} + 2\pi\cdot s$

Where:

$r$ - Base radius of the cone, measured in inches.

$s$ - Slant height, measured in inches.

In addition, the slant height is calculated by means of the Pythagorean Theorem:

$s = \sqrt{r^{2}+h^{2}}$

Where $h$ is the altitude of the cone, measured in inches. If $r >> h$ , then:

$s \approx r$

And:

$A = \pi\cdot r^{2} +2\pi\cdot r$

Given that $A = 1885.7143\,in^{2}$ , the following second-order polynomial is obtained:

$\pi \cdot r^{2} + 2\pi \cdot r -1885.7143\,in^{2} = 0$

Roots can be found by the Quadratic Formula:

$r_{1,2} = \frac{-2\pi \pm \sqrt{4\pi^{2}-4\pi\cdot (-1885.7143)}}{2\pi}$

$r_{1,2} \approx -1\,in \pm 24.521\,in$

$r_{1} \approx 23.521\,in \,\wedge\,r_{2}\approx -25.521\,in$

As radius is a positive unit, the first root is the only solution that is physically reasonable. Hence, the slang height of the cone is approximately 23.521 inches.

3 0

3 years ago

What is the length of EF in the right triangle below?

Tema [17]

Answer:

Step-by-step explanation:

Since the triangle is right use Pythagoras' identity to find EF

The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

EF² + DF² = DE² ← substitute values

EF² + 12² = 18², that is

EF² + 144 = 324 ( subtract 144 from both sides )

EF² = 180 ( take the square root of both sides )

EF = $\sqrt{180}$ → A

3 0

3 years ago