Classify the following triangle. Check all that apply.

Answer:

Year = 1995 and population = 315

Year = 2015 and population = 715

Step-by-step explanation:

It is given that the population of two different villages is modeled by the given equations:

[tex]y=x^2-30x+540[/tex]

[tex]y=20x+15[/tex]

The population of both villages are same after x years after 1980 if

[tex]x^2-30x+540=20x+15[/tex]

[tex]x^2-30x+540-20x-15=0[/tex]

[tex]x^2-50x+525=0[/tex]

Splitting the middle term, we get

[tex]x^2-15x-35x+525=0[/tex]

[tex]x(x-15)-35(x-15)=0[/tex]

[tex](x-15)(x-35)=0[/tex]

[tex]x=15,35[/tex]

It means, after 15 or 35 years, the population will same.

For x=15, years is [tex]1980+15=1995[/tex] and population is  

[tex]y=20(15)+15=315[/tex]

For x=35, years is [tex]1980+35=2015[/tex] and population is  

[tex]y=20(35)+15=715[/tex].

Therefore, population are equation in Year = 1995 and population = 315 or Year = 2015 and population = 715.

Year = 1995 and population = 315

Year = 2015 and population = 715

The equation is

[tex]y = x^2 - 30x + 540\\\\y = 20x + 15[/tex]

Now

[tex]x^2 - 30x + 540 = 20x + 15\\x^2 - 30x + 540 - 20x - 15=0\\\\x^2 - 50x + 525 = 0\\\\x^2 - 35x - 15x + 525=0\\\\x(x - 15) -35(x-15) = 0\\\\(x-15) (x-35) = 0[/tex]

x = 15,35

so,

When x is 15 , the population is = 20(15 )  +15 = 300 + 15 = 315

And, x is 35 , the population is = 20(35 )  +15 = 700 + 15 = 715

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The answer is 120 have a great day.  Step-by-step explanation:

Answer:

I think its I,II,III

because first r+q = 90 as we'll as z= 90

second s and z are vertically opposite angles and so are equal

third x+s+r= 180 degrees because they are on a straight line

Answer:

D  36 degrees

Step-by-step explanation:

You add 65 degrees and 79 degrees together and get 144 degrees

The whole triangle is 180 degrees

So you take 180 - 144

and you get D, 36 degrees

Answer:

D.

Step-by-step explanation:

65º+79º+xº=180º

x=180º-65º-79º

x=115º-79º

x=36º

D.

Answer:

25 minutes.

Step-by-step explanation:

We can set up an equation: 3/30=2.5/n. This situation is directly proportional, since the number of minutes increases as the runner runs more miles.

We can cross multiply: 3n=30*2.5

3n=75

n=25

Answer:

- ²⁾4/7 = - 8/14

⁷⁾1/2 = 7/14

- 8/14 < - 9/14 < - 12/14 < 3/14 < 5/14 < 7/14

al3xis

Answer:

2(20-64)

Step-by-step explanation:

4*10-64*2

40-128

2(20-64)

Answer:

t = - 0.8

Step-by-step explanation:

9.75t -9.75t + 9 = 13.5t - 9.75t+ 12

9 = 3.75t +12

9 - 12 = 3.75t

- 3 /3.75= 3.75 t/3.75

- 0.8 = t

Answer:

∴ t= -0.8

Step-by-step explanation:

9.75t + 9 = 13.5t + 12

9.75t-13.5t=12-9

-3.75t=3

-t=3/3.75

-t=0.8

∴ t= -0.8

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Answer:

x = 3 or x = -1

Step-by-step explanation:

     25^x = 5^(x^2 - 3)

<=> (5^2)^x = 5^(x^2 - 3)

<=> 5^(2x) = 5^(x^2 - 3)

<=> 2x = x^2 - 3

<=> x^2 - 2x - 3 = 0

<=> x^2 + x - 3x - 3 = 0

<=> x(x + 1) - 3(x + 1) = 0

<=> (x - 3)(x + 1) = 0

<=> x = 3 or x = -1

I hope this helps!

Answer:

4/9*pi or 1.395

Step-by-step explanation:

We have that area of the circle, that 4 * pi, we can calculate the radius of the circle, knowing that:

A = pi * r ^ 2

replacing:

4 * pi = pi * r ^ 2

r ^ 2 = 4 * pi / pi

r ^ 2 = 4

r = 2

Therefore, knowing the radius, we can calculate the perimeter:

P = 2 * pi * r

replacing:

P = 4 * pi

That is the perimeter of the whole circle, that is to say 360 °, therefore for 40 ° it would be:

4 * pi * 40 ° / 360 ° = 4/9 * pi

That is to say that the perimeter of the sector of 40 ° is 4/9 * pi, if pi is 3.14 it would be:

4/9 * 3.14 = 1.395

Answer:

The answer would be, 81cm.

Step-by-step explanation:

36÷4=9

9×9=81

Answer:

The area of the pen would be 24 feet.

Step-by-step explanation:

6 multiplied by 4 is 24.

Answer:

24 feet squared

Step-by-step explanation:

the area of a rectangle = l x w

length = 6

width = 4

therefore, 4x6=24

Answer: C. Nine Months, 9/12 = 9÷12 = 0.75

Step-by-step explanation:

Hi, to answer this question we have to convert the fraction into decimals and compare:

A. Three Months, 1/4 = 1÷4 = 0.25

B. Six Months, 6/12 = 6÷12 =0.5

C. Nine Months, 9/12 = 9÷12 = 0.75

D. 1 Month, 1/12 =1÷12 = 0.083333

C. Nine Months, 9/12 = 9÷12 = 0.75

Feel free to ask for more if needed or if you did not understand something.

Answer:

See explaination

Step-by-step explanation:

All these questions can be solved remembering that the area of a triangle is the base*height/2

1) 9.8*3.6/2 = 17.64

2) 14*35/2  = 245

3) 8.4*6.9/2 = 28.98

4) For this one, it is important to realize that if a triangle contains 2 perpendicular lines, it is a right triangle, and therefore, those two lines must be the base and the height. So the answer is just 1.8*2.5/2 = 2.25

5)3.2*9.6/2 = 15.36

Answer:

first is 17.64cm second is 245m third is 28.98cm fourth is 15.36

Answer:

250

Step-by-step explanation:

1000 divided by 4 is 250

Answer:

The answer for this question is Quadrant III

Hey!!!!

(-3,12) lies in Quadrant II.

please see the attached picture.

Hope it helps...

Good luck on your assignment...

Stay safe..

Answer:

42°

Step-by-step explanation:

all triangles have 180 degrees, you are given 48. the symbol above 48 tells you it is 90 degrees. ther fore you can use 180- 90 - 48= 42

Answer:

52

Step-by-step explanation:

Answer:

x= 12

Step-by-step explanation:

Please see attached picture for full solution.

Feel free to ask if you have any queries :)

Answer:

$0.17

Step-by-step explanation:

2.04/12=0.17

Please mark as Brainliest! :)

Have a nice day.

Answer: 0.17 for 1 pencil

Step-by-step explanation:

Attached the work.

Answer:

-3 or (-3,0)

Step-by-step explanation:

When graphed the line 2x-y=-6 intersects the x-axis at the coordinate (-3,0)

Answer:

image attached

Step-by-step explanation:

see attached

Answer:

The correct option is;

BC = 4 cm and DE = 4 cm

Step-by-step explanation:

The given sides parameters are;

In ΔABC

AB = 3 cm

AC = 5 cm

In ΔDEF

CD = 3 cm

CE = 5 cm

We note that the point F on ΔDEF is the same as point C on ΔABC

For the two triangles to be congruent, the third side must be equal hence e have;

Where ∠B = ∠D = 90°

Hence, AC² = AB² + BC²

∴ BC = √(5² - 3²) = 4

Similarly,

CE² = CD² + DE²

∴ DE = √(5² - 3²) = 4

Hence the additional information needed to prove that ΔABC ≅ ΔDEF is BC = 4 cm and DE = 4 cm.

Answer:

THE GRASS

Step-by-step explanation:

Because the grass takes up a larger area

Answer:

Step-by-step explanation:

1) first, lets rationalize the denominator by eliminating [tex]1+\frac{1}{\sqrt{2} }[/tex]

so multiply [tex]\frac{1}{1+\frac{1}{\sqrt{2} } }[/tex]  with the conjugate, [tex]1-\frac{1}{\sqrt{2} }[/tex]

we multiply with the conjugate (opposite) since we can take the conjugate and the original term in the form of (a+b)(a-b)= a^2-b^2, which would allow us to get rid of the square root:

so

(1+1/[tex]\sqrt{2}[/tex])(1-[tex]\frac{1}{\sqrt{2} }[/tex])=(1)^2-([tex]\frac{1}{\sqrt{2} }[/tex])^2

hence we are left with:

1-1/2= 0.5

0.5 is the denominator:

since conjugate is multiplied to both numerator and denominator:

for the numerator (1)([tex]1-\frac{1}{\sqrt{2} }[/tex])

is: 1-[tex]\frac{1}{\sqrt{2} }[/tex]

hence, [tex]\frac{1-\frac{1}{\sqrt{2} } }{0.5}[/tex]

so[tex]1-\frac{1}{\sqrt{2} }[/tex]

is 0.292893

so

0.292893/0.5= 0.058579

and 2-sqrt(2)= 0.058579

hence they both are equal

hope this helps!

Answer: (-6,10)

Step-by-step explanation:

Since you are reflecting over the y-axis, the x value becomes the negative

The coordinates for R' the reflected point are (-6,10).

When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.

If you study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.

Thus, if you're reflecting a point (x,y) along x axis, then its

f=x

abscissa will stay same but

f=y

ordinates will negate. Thus (x,y) turns to (x, -y)

Similarly, if you're reflecting a point (x,y) along y axis, the resultant image of the point will be (-x,y)

We are given that;

The point R(6, 10)

Now,

When reflecting a point over the y-axis, we simply negate the x-coordinate while keeping the y-coordinate the same.

So, to reflect point R(6,10) over the y-axis, we flip its x-coordinate to get R'(-6,10).

Therefore, by reflection answer will be (-6,10).

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Answer:

30 cm²

Step-by-step explanation:

we need to find h

V=πr²h

h=V/πr²

h=210/14²π

h=0.341

then we found curved surface area

A=2πrh

A=2×π×14×0.341

curved surface are= 30 cm²

Answer: Lis saved $1166.4 .

Step-by-step explanation:

Given , Ellen saved $2000 and she spent 10% of it to buy a bike.

Then, Ellen's left saving = saved amount - 10% of  (saved amount)

= $2000 - 0.10 x $2000 [We convert perecntage to decimal by diving it by 100]

= $2000 - $200

= $1800

So, Ellen's left saving= $1800

Also, Kim saved 8% more than that of Ellen's left savings.

Kim's Saving = Ellen's left saving + 8% of (Ellen's left saving)

= $1800  + (0.08) x ($1800) [We convert perecntage to decimal by diving it by 100]

= $1800 +  $144

i.e. Kim's Saving= $1944

If Lisa saved 60% as much as Kim, then Lisa's saving  = 60% of (Kim's Saving)

= (0.60) x ($1944) [We convert perecntage to decimal by diving it by 100]

i.e. Lisa's saving = $1166.4

Answer:

1166.40

Step-by-step explanation:

i got it right on my test.

Answer:if the answer your looking for is the area, then it’s 16.15

Step-by-step explanation:

Answer:

Connie, Josie, Patrick, Mimi, Emma

I took the test, I hope this helps! Its okay, but I tried the answer above, and it wasn't correct

Connie, Josie, Patrick, Mimi, and Emma are the farmers that had more cows than other farmers.

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

We know that the number of cows is shown on the graph on the y-axis.

The number of pigs is shown on the x-axis of the graph.

we can conclude from the graph that Connie, Josie, Patrick, Mimi, and Emma had more cows than the other farmers.

If we add all of them that would become greater than others.

Learn more about addition;

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