Label Each triangle.

Answer:

70cm

Step-by-step explanation:

,

Since, both of the tank posses the same quantity of water then there volume is the same thing

For rectangular base

Volume= (Lenght × breadth × hheight)

If we substitute values

Lenght= 80 cm

Breadth= 70 cm

height= 45 cm

Volume= 80cm × 70cm × 45cm

Volume= 252000cm^3

For square base

Volume= (side)^2 × height

side =60cm.

But volume of square base= volume of

rectangular base

252000cm^3= 60^2 × height

Height= (252000cm^3)/(60^2 )

Height= 70 cm

Hence, the second tank is 70 cm deep

Answer:

205 ≥ 18.25 + 12.5x

Step-by-step explanation:

205 = maximum money

18.25 = parking

12.5x = cost per person where x is the number of people

Answer:

ok-

30 peices divided by 6 gives you 5 photographs.

2/3 of 30 is 20 paintings.

so, 20 paintings minus 5 photographs means 15 more paintings than photos.

Step-by-step explanation:

let the width = y

the length =y-10

area of rectangle=length ×breadth

171 =y-10×y

171=y^2-10y

it turns into quadratic equation

y^2-10y+171=0

cant be solved by factorization therefore use general formula

y=-b+or-√(b^2-4ab)/2a

a=1 (coefficient of y^2) ,b=-10 , c=171

y=--10+or-√{10^2-4(1)(10)}\2(1)

y=10+or-√{100-40}\2

y=10+or-√60/2

y=10+or-(7.74/2)

y=10+3.87

y=13.87cm

OR

y=10-3.87

y=6.13cm

if y=13.87 then width is 13.87&length is 13.87-10

=3.87

OR

if y=6.13 then width is 6.13&length is 6.13-10=-3.87

Answer:

D

Step-by-step explanation:

Since x can be  bigger than -3, or equal to -3,the circle is closed,meaning both are included

The arrow should go to the right when is bigger than....

Answer:

6m -11n

Step-by-step explanation:

Answer:

y=x+2

Step-by-step explanation:

if you are looking for the equation, you can use point-slope formula because you are given the slope and a point that runs through the line. so...

(y-y1) = m (x-x1)

(y-4) = 1(x-2)

solve and add 4 onto both sides and multiply 1 by (x-2) which equals itself and then ad -2+4 to get 2

Answer: its either 2.5 or 16

Step-by-step explanation: hope this is helpful I don't know if these answers are right...

Answer:

520

Step-by-step explanation:

Multiple base height and width

Answer:

[tex]x^{2}[/tex] - [tex]z^{2}[/tex] - 2z[tex]\sqrt{5}[/tex] - 5

Step-by-step explanation:

This is the equation that you started off with:

(x - z - [tex]\sqrt{5}[/tex])(x + z + [tex]\sqrt{5}[/tex])

You can't really use FOIL on this because that's used in multiplying binomials, and this is a trinomial, but you can still break it up and simplify it this way:

(a + b + c)*(d + e + f) = (a(d + e +f)) + (b(d + e + f)) + (c(d + e + f))

So, applying that idea to the actual equation:

x(x + z + [tex]\sqrt{5}[/tex]) -z(x + z + [tex]\sqrt{5}[/tex]) - [tex]\sqrt{5}[/tex](x + z + [tex]\sqrt{5}[/tex])

= x^2 + xz + x[tex]\sqrt{5}[/tex] -xz -z^2 - z[tex]\sqrt{5}[/tex] - x[tex]\sqrt{5}[/tex] - z[tex]\sqrt{5}[/tex] - 5

= x^2 - z^2 - 2z[tex]\sqrt{5}[/tex] - 5

or [tex]x^{2} - z^{2} - 2z\sqrt{5} - 5[/tex]

Answer: 2144

Step-by-step explanation: thank you to the guy above lol!

Answer:

The answer is "[tex]{c=-6+3\sqrt{14}[/tex]"

Step-by-step explanation:

Given:

[tex]\to F(x) = \frac{x}{x+6} , \ [1, 12][/tex]

[tex]\to f'(c)=\frac{f(b)-f(a)}{b-a}[/tex]

As per the given intervals:

[tex][1,12]\\\\ a=1 \\ b=12.[/tex]

Calculating the values of f(a) and f(b).

[tex]\to f(1)=\frac{1}{1+6}= \frac{1}{7} \\\\ \to f(2)=\frac{12}{12+6}= \frac{12}{18}=\frac{2}{3} \\\\ \to f(x)=\frac{x}{x+6}\\\\[/tex]

[tex]\to f\:'\left(x\right)=\frac{d}{dx}\left(\frac{x}{x+6}\right)\: \\\\[/tex]

         [tex]=\frac{\frac{d}{dx}\left(x\right)\left(x+6\right)-\frac{d}{dx}\left(x+6\right)x}{\left(x+6\right)^2} \\\\=\frac{1\cdot \left(x+6\right)-1\cdot \:x}{\left(x+6\right)^2}\\\\[/tex]

[tex]\to f'(x)=\frac{6}{\left(x+6\right)^2}[/tex]

Calculating the value of [tex]\ f'(c):[/tex]

[tex]\to \mathbf{f\:'\left(c\right)=\frac{6}{\left(c+6\right)^2}}[/tex]

Replacement of the values in the mean theorem of value now.

[tex]\to \frac{6}{\left(c+6\right)^2}=\frac{\frac{2}{3}-\frac{1}{7}}{12-1}\\\\\to \frac{6}{\left(c+6\right)^2}=\frac{\frac{11}{21}}{11}\\\\\to \frac{6}{\left(c+6\right)^2}=\frac{1}{21}\\\\[/tex]

 Apply the cross multiplication:

[tex]\to (c+6)^2=126 \\\\\to c^2+12c +36= 126\\\\\to c^2+12c +36-126= 126-126 \\\\\to c^2+12c -90= 0\\\\\to c=\frac{-12\pm \sqrt{12^2-4\cdot \:1\left(-90\right)}}{2\cdot \:1}\\\\ \to \mathbf{c=-6+3\sqrt{14}} \\\\[/tex]

Answer:

The price of the sweater was reduced by 40%.

Answer:

??????????????????????????????????????????

Step-by-step explanation:

Answer:

(50 - 30) = (20 - 5)

Step-by-step explanation:

Hope this helps:)

Answer:

y=1/6x+4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-3)/(0-(-6))

m=1/(0+6)

m=1/6

y-y1=m(x-x1)

y-3=1/6(x-(-6)(

y-3=1/6(x+6)

y=1/6x+6/6+3

y=1/6x+1+3

y=1/6x+4

30 units²

Step-by-step explanation:

As it is a right angled triangle, we can get the area by simply applying the formula

Area = 1/2 × base × height

Taking the base as 12 and height as 5, we get

Area = 1/2 × 12 × 5

Area = 30 units²

Hope this helps! :D

Answer:

akjnajknlkicea

Step-by-step explanation:

Answer:

the slope is two it start at the origin and hit the point 1,2 therefor the slope is two

Step-by-step explanation:

Answer:

Use photo math. It will explain the steps even in substitution method

Answer:

The answer is 16.

Answer:

the proof is in the picture

Step-by-step explanation:

16

Answer:

486

Step-by-step explanation:

1,985 + 12,000 + x = 14,471

x = 14471 - 12000 - 1985

x = 486

Answer:

486

Step-by-step explanation:

14471-12000-1985=486

Hope this helps :D

Answer:

(X+4)(x-4)

Step-by-step explanation:

x^-16

=(X+4)(x-4)

Answer :

Hey there! I'm happy to help!

To find the area of a triangle you multiply the base by the height.

We see that our base is 5 units long because it stretches from -6 to -1 on the coordinate plane. Our height is 8 because the y value goes from 3 to -5.

To find the area of a triangle, you just multiply the base by the height then divide by 2.

5(8)=40

40/2=20

The area is 20 square units.

Have a wonderful day! :D

Is This What You Triangle Looks Like?

Answer:

x + 10

Step-by-step explanation:

hope it helps and your day will be full of happiness

Answer:

8 and 36

Step-by-step explanation:

let the daughter's age be x then father is x + 28

In 6 years their ages are

x + 6 and x + 28 + 6 = x + 34

Father is 3 times her age , then equation is

x + 34 = 3(x + 6) ← distribute

x + 34 = 3x + 18 ( subtract x from both sides )

34 = 2x + 18 ( subtract 18 from both sides )

16 = 2x ( divide both sides by 2 )

8 = x

Daughter's age is 8 and father's age is 8 + 28 = 36