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3 years ago

10 more than 405. 4 hhundred 0 tens 5 ones

Mathematics

1 answer:

vova2212 [387]3 years ago

4 0

(4 hundred + 0 tens + 5 ones) + (1 ten) = 4 hundred + 1 ten + 5 ones

... = 415

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(3,4) and (12,19) find the equation of the line that passes through it

harina [27]

Answer:

The equation of the line will be:

$y=\frac{5}{3}x-1$

Step-by-step explanation:

Given the points

(3, 4)

(12, 9)

Finding the slope between (3, 4) and (12, 9)

$\left(x_1,\:y_1\right)=\left(3,\:4\right),\:\left(x_2,\:y_2\right)=\left(12,\:19\right)$

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{19-4}{12-3}$

$m=\frac{5}{3}$

The equation of the line can be obtained using the point-slope form of the equation of the line

$y-y_1=m\left(x-x_1\right)$

substituting the values m = 5/9 and the point (3, 4)

$y-4=\frac{5}{3}\left(x-3\right)$

$y-4+4=\frac{5}{3}\left(x-3\right)+4$

$y=\frac{5}{3}x-1$

Therefore, the equation of the line will be:

$y=\frac{5}{3}x-1$

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3 years ago

In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on th

Artemon [7]

Answer:

72.51

Step-by-step explanation:

Given that :

Lab score % = 23%

Each Major test % = 22.5%

Final exam % = 32%

Score :

Lab score = 96

First Major test = 64

Second major test = 62

Final exam = 69

Hence,

Weighted average = Σ(weight % * score)

Weighted average = Σweight_1*score_1 +.. Weight_n * score_n)

(0.23 * 96) + (0.225 * 64) + (0.225 * 62) + (0.32 * 69) = 72.51

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2 years ago

You roll a number cube. How likely is it that you will roll a number less than 1? less than 7? Explain.

geniusboy [140]

Answer:

There is a zero percent that you will roll a number less than one but a 100% chance of rolling a number less than 7.

Step-by-step explanation:

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3 years ago

It has 2 more vertex than an octagon and 2 fewer sides then a hendecagon

kondaur [170]

It's a hexagon it has 6 sides

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3 years ago

From the top of a vertical cliff 50 m high, the angle of depression of an object that is level with the base of the cliff is 70°

Svetlanka [38]

Answer:

The distance of the object from the base of cliff is 18.24 meters

Step-by-step explanation:

Given as :

The height of the vertical cliff = h = 50 meters

The distance of the object from the base of cliff = x meters

Let The angle of depression of object that level with cliff base = Ф = 70°

<u>Now, from figure</u>

Tan angle = $\dfrac{\textrm perpendicular}{\textrm base}$

I.e TanФ = $\dfrac{\textrm AB}{\textrm OA}$

Or, TanФ = $\dfrac{\textrm h}{\textrm x}$

Or, Tan 70° = $\dfrac{\textrm 50 meters}{\textrm x meters}$

Or, 2.74 = $\dfrac{\textrm 50}{\textrm x}$

∴ x = $\dfrac{\textrm 50}{\textrm 2.74}$

I,e x = 18.24 meters

So, The distance of the object from the base of cliff = x = 18.24 meters

Hence,The distance of the object from the base of cliff is 18.24 meters Answer

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3 years ago