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goldfiish [28.3K]
3 years ago
8

Explain how 4/10÷2 and 4/10×1/2 both equal 2/10.

Mathematics
1 answer:
iris [78.8K]3 years ago
5 0

Answer:

Step-by-step explanation:

when you are taking (4/10) and dividing it by 2.  you have a fraction over a fraction.  if you remember what you do to the top part of the equation you do to the bottom.  so we want to get rid of dividing by 2.  (multiple by the reciprocal)  the reciprocal of 2 is 1/2.  that will cancel out the bottom part of the equation but what you do to the bottom you have to do to the top.  so,  (4/10) * 1/2 is the same as (4/10) divided by 2. hope that makes sense.  it's much easier to write out then type math...

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A line with slope 3 passes through the point (0,10). What is the y-coordinate of the point on the line with x-coordinate 2?
lana [24]
Hello!

So to find the y-coordinate we need an equation for the line. The equation we can use is

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So now that we've found b, we can use this in our equation

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1. Bob tried to answer the following question by finding the missing angle and rounding the answer to the nearest degree.
iren2701 [21]

Answer:

Part 1)

Bob's mistake was to have used the cosine instead of the sine

The measure of the missing angle is 53.13\°

Part 2) The surface area of the pyramid is 288\ cm^{2}

Step-by-step explanation:

Part 1)

Let

x----> the missing angle

we know that

In the right triangle o the figure

The sine of angle x is equal to divide the opposite side angle x to the hypotenuse of the right triangle

sin(x)=\frac{16}{20}

x=arcsin(\frac{16}{20})=53.13\°

Bob's mistake was to have used the cosine instead of the sine

Part 2) we know that

The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces

so

SA=b^{2}+4[\frac{1}{2}(b)(h)]

where

b is the length side of the square

h is the height of the triangular lateral face

In this problem

h=b/2 -------> by an 45° angle

so

b=2h

sin(45\°)=\frac{h}{6\sqrt{2}}

h=6\sqrt{2}(sin(45\°))=6\ cm

Find the value of b

b=2(6)=12\ cm

Find the surface area

SA=12^{2}+4[\frac{1}{2}(12)(6)]=288\ cm^{2}

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4 years ago
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