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olga_2 [115]
3 years ago
10

A right triangle is removed from a rectangle as shown in the figure. Find the area of the remaining part of the rectangle. [Area

of a triangle = 1/2(b)(h)]
Mathematics
1 answer:
IrinaVladis [17]3 years ago
8 0
I found the same problem with its corresponding image.

The rectangle has a length of 8 inches and width of 6 inches.
The right triangle was taken from the width. Its short leg measures 2 inches and the remainder of the width was 2 inches.

Area of the rectangle = Length x Width
A = 8 inches * 6 inches
A = 48 square inches.

Area of a right triangle = 1/2 a h
a is the short leg = 2 inches
h is the long leg = width - remainder of the width = 6 in. - 2 in. = 4 inches.

Area = 1/2 * 2 in. * 4in.
Area = (1*2*4)/2
A = 8/2
A = 4 square inches.

Area of Rectangle - Area of Triangle = Area of remaining figure.

48 sq. in - 4 sq. in. = 44 sq. inches.
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In this lesson, you worked with composite functions. Now make up any two functions f(x) and g(x), defined in terms of the variab
yaroslaw [1]
There are g(f(x)) and f(g(x))
do them then evaluate

lets say
f(x)=3x
g(x)=9x^3-4

g(f(x))=9(3x)^3-4=243x^3-4
f(g(x))=3(9x^3-4)=27x^3-12
we can see that g(f(x)) with yield a higher value for x=10

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%24%5Coverline%7BBY%7D%24" id="TexFormula1" title="$\overline{BY}$" alt="$\overline{BY}$" alig
erica [24]

Answer:

  BZ = 64/23 = 2 18/23

Step-by-step explanation:

The angle bisectors divide the triangle into proportional parts, so we have ...

  CB/CY = AB/AY

  CB = CY(AB/AY) = 4(8/6) = 16/3 . . . . multiply by CY and evaluate

and ...

  BZ/CB = AZ/AC

  BZ = AZ(CB/AC) . . . . multiply by CB

But we have ...

  AZ = 8 -BZ, so this becomes ...

  BZ = (8 -BZ)(16/3)/(10)

  BZ(1 +8/15) = 64/15 . . . . add the BZ term on the right to both sides

  BZ = (64/15)(15/23) = 64/23 . . . . divide by the coefficient of BZ

BZ = 64/23 = 2 18/23

6 0
3 years ago
Devon is trying to find the unit price on a 6-pack of drinks on sale for $2.99.His sister says each drink would cost just over $
nika2105 [10]
If we know that 6 things cost 2.99 and we want to know unit price we just have to divide 2.99 by 6.
So 2.99:6=0.49$ - its the result.
Now we can say that his sister is not correct, because price is different that 2$/unit.
4 0
4 years ago
Please help, i’ll give brainliest!!!
mr Goodwill [35]
I’m pretty sure its b
Don’t give me brain- whatever it is it’s most likely wrong
3 0
3 years ago
Please help! I’ll give BRAINLIEST :))
blondinia [14]

Answer:

yes

Step-by-step explanation:

well converse is

If q, then p

and inverse is

If no p, then not q

butttttt lets put this in human terms

If I am allergic to donuts, then I don't like to eat donuts.

and the inverse is

If I don't like to eat donuts, then I am allergic to donuts.

It is true no matter what! However, there could also be other reasons you don't liek donuts but nonthless this is one true reason that exists bc converse.

6 0
4 years ago
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