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stiv31 [10]
3 years ago
6

Which of the following number sentences is an example of the identity property? Select all that apply.

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
7 0

I think one is 8.7 + 0 = 8.7

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Will mark brainliest! Questions are in the picture!
alexdok [17]

Answer:

52.9 inches .

Step-by-step explanation:

Given that the triangular indentation has an area of 100 in.² and the base and height of this traingle are represented by expressions 3x and x+3 respectively . We need to find out the <u>perimeter </u>to the nearest tenth.

As we know that the area of triangle is ,

\rm\longrightarrow Area_{\triangle}=\dfrac{1}{2}(base)(height)

Substituting the respective values,

\rm\longrightarrow 100\ =\dfrac{1}{2}(x+3)(3x)\\\\\rm\longrightarrow 2(100) = 3x(x+3)\\\\\rm\longrightarrow200 = 3x^2+9x\\\\\rm\longrightarrow 3x^2+9x-200=0

On using the <u>Quadratic</u><u> formula</u> , we have;

\rm\longrightarrow x =\dfrac{-9\pm\sqrt{9^2-4(3)(-200)}}{2(3)} \\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{81+1200}}{6}\\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{1281}}{6}

On simplifying above , we will get ,

\rm\longrightarrow x = 6.802,-9.802

Since sides can't be negative, therefore,

\rm\longrightarrow\underline{\underline{ x =6.802}}

Therefore ,

  • \rm\longrightarrow Base = 3x =3(6.802)in = 20.406\ in\\
  • \rm\longrightarrow Height = x +3=6.802+3=9.802\ in

Next let's find out the <u>hypotenuse </u>using Pythagoras theorem, as ;

\rm\longrightarrow h=\sqrt{ b^2+p^2}\\

\rm\longrightarrow h =\sqrt{ (20.406)^2+(9.802)^2}\\

\rm\longrightarrow h =\sqrt{416.40+96.07}\\

\rm\longrightarrow h = 22.63\ in

Now we may find perimeter as ,

\rm\longrightarrow P = p + b + h \\

\rm\longrightarrow P = (22.63 + 9.802 + 20.406)in.

\\\rm\longrightarrow P = 52.89 \ in.\\

\rm\longrightarrow \underline{\underline{ Perimeter = 52.9\ in .}}

8 0
3 years ago
Find the slope of a line perpendicular to 4x-y=6
ratelena [41]

Answer:

The slope is -1/4

Step-by-step explanation:

perpendicular line is y=-\frac{1}{4}x-6

8 0
3 years ago
What is the relationship between the two shapes?
vova2212 [387]

Answer  

its b

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Part I: Describe the center and radius of the circle.
trasher [3.6K]

Answer:

Center (2,4) , radius=3, h=2 v=4 & r=3

Step-by-step explanation:

Ok so in order to find the center of the circle, use the graph (like you can see that the x is 2,if you count down from 5 to the left. the y is 4,because it's below 5 in the y pole).So the center is (2,4)

Now, in order to find the length of the radius, you need to do the following:

Take the center point (2,4) and the point where the circle ends (2,1) . Because radius is a straight, you can substract the y values of the two points : 4-1=3

As you can see in the equation, the h symbolizes the x of the center point and the v symbolizes the y.The r is the radius that we already found(3)

So it's shouldn't be a problem now to find the equation of the circle,simply replace the values with their numbers:

(x-2)^2 + (y-4)^2 = 9

4 0
3 years ago
What number set does -3.8 belong in
Lerok [7]

Answer:

real number and rational number

Step-by-step explanation:

I infer that by number set you mean what kind of number it is. It is real because it is -3.8 and rational because it is terminating. It is not a integer, whole number, or natural number because -3.8 is a decimal

8 0
3 years ago
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