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3 years ago

What decimal is represented by this expanded form? 4 x 10,000 + 5 x 1,000 + 7 x 100 + 8 x 1/100 + 6 x 1/1000

Mathematics

2 answers:

ch4aika [34]3 years ago

3 0

45700.086
the decimals are .086

SVETLANKA909090 [29]3 years ago

3 0

.086

Hope this helps.

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Komok [63]

Answer:

..........................................

Step-by-step explanation:

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8 0

2 years ago

If W(-10, 4), X(-3, -1), and Y(-5, 11) classify ΔWXY by its sides. Show all work to justify your answer.

solniwko [45]

Given:

The vertices of ΔWXY are W(-10, 4), X(-3, -1), and Y(-5, 11).

To find:

Which type of triangle is ΔWXY by its sides.

Solution:

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, we get

$WX=\sqrt{(-3-(-10))^2+(-1-4)^2}$

$WX=\sqrt{(-3+10)^2+(-5)^2}$

$WX=\sqrt{(7)^2+(-5)^2}$

$WX=\sqrt49+25}$

$WX=\sqrt{74}$

Similarly,

$XY=\sqrt{\left(-5-\left(-3\right)\right)^2+\left(11-\left(-1\right)\right)^2}=2\sqrt{37}$

$WY=\sqrt{\left(-5-\left(-10\right)\right)^2+\left(11-4\right)^2}=\sqrt{74}$

Now,

$WX=WY$

So, triangle is an isosceles triangles.

and,

$WX^2+WY^2=(\sqrt{74})^2+(\sqrt{74})^2$

$WX^2+WY^2=74+74$

$WX^2+WY^2=148$

$WX^2+WY^2=(2\sqrt{37})^2$

$WX^2+WY^2=WY^2$

So, triangle is right angled triangle.

Therefore, the ΔWXY is an isosceles right angle triangle.

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2 years ago

The students in a science class spent 65% of the class period performing an experiment. how long is a class period if the time s

Kaylis [27]

We let x be the length (in minutes) of a certain science class. 65% of this period is spent with the experiment which lasted for about 52 minutes. Mathematically, this can be expressed as,
52 = (0.65)(x)
The value of x from the generated equation is 80. Thus, the science class is 80 minutes long.

7 0

3 years ago

The perimeter of a rectangle is 42 inches. If the width of the rectangle is 6 inches, what is the length?

ozzi

Answer:

15 inches

Step-by-step explanation:

42 = 2L + 2(6)

first, we need to isolate L.

solve 2(6) to make this easier

42 = 2L + 12

42 - 12 = 2L + 12 - 12 ( this cancels out 12. )