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3 years ago

2x<15 solve for x Simplify equation

Mathematics

1 answer:

aniked [119]3 years ago

3 0

Answer:

x<7.5

Step-by-step explanation:

2x/2<15/2
x<15/2

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Please help ASAP! Thanks! For the figures below, assume they are made of semicircles, quarter circles and squares. For each shap

bazaltina [42]

Answer:

Part 1) $A=36(\pi-2)\ cm^2$

Part 2) $P=6(\pi+2\sqrt{2})\ cm$

Step-by-step explanation:

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

$A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)$

we have that the base and the height of triangle is equal to the radius of the circle

$r=12\ cm\\b=12\ cm\\h=12\ cm$

substitute

$A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)$

$A=(36\pi-72)\ cm^2$

simplify

Factor 36

$A=36(\pi-2)\ cm^2$

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

<em>The circumference of a quarter of circle is equal to</em>

$C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r$

substitute the given values

$C=\frac{1}{2}\pi (12)$

$C=6\pi\ cm$

The hypotenuse of right triangle is equal to (applying the Pythagorean Theorem)

$AC=\sqrt{12^2+12^2}$

$AC=\sqrt{288}\ cm$

simplify

$AC=12\sqrt{2}\ cm$

Find the perimeter

$P=(6\pi+12\sqrt{2})\ cm$

simplify

Factor 6

$P=6(\pi+2\sqrt{2})\ cm$

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Which is true of a geometric point? A) one-dimensional B) two-dimensional C) three-dimensional Eliminate D) no dimensions, only

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The ans is : One dimensional

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6/7

6/7 can't be simplified

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What is 81/3 minus 65/6

Ugo [173]

8 1/3-6 5/6
convert both into an improper fraction
8 1/3=25/3
6 5/6=41/6
convert 25/3 to a fraction with a base of 6: 50/6
50/6-41/6=9/6
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5 less than the quotient of a number and 3 is -7

hram777 [196]

$\frac{x}{3}$ - 5 = -7 .
____________________________________________
This would be one way to write the expresion/equation; in which "x" represents the unknown number.

Now, to solve for "x" ;
____________________________________________
Given:
____________________________________________
$\frac{x}{3}$ - 5 = -7 ;

Add "5" to EACH SIDE of the equation:
_____________________________________________
$\frac{x}{3}$ - 5 + 5 = -7 + 5 ;

to get:

$\frac{x}{3}$ = -2 ;

x = (-2 * 3) ;
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x = - 6 .
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