3.2 geometry worksheet

9514 1404 393

Answer:

  x = -6 or 6

Step-by-step explanation:

The square root is always positive, so the equation simplifies to ...

  [tex]\sqrt{4x^2}-\sqrt{x^2}=6\\\\2|x|-|x|=6\\\\|x|=6\\\\x=\{-6,\ 6\}[/tex]

_____

The graph shows the solutions to f(x) = 0, where f(x) = √(4x²) -√(x²) -6.

When you catch up, the distance traveled is the same

Distance = rate x time

r = uncle's rate

30 min = 30/60 hr = uncle's time

25 min = 25/60 hr =  your time

Uncle's distance = Your distance

(r)(30/60) = (r + 10)(25/60)

(r)(1/2) = (r + 10)(5/12)

r/2 = 5r/12 + 50/12  

6r = 5r + 50

r = 50  

Uncle's rate = 50 mph

Your rate = 50 + 10 = 60 mph

Answer:

12 hat/scarf outfits

Step-by-step explanation:

If a snowman has 3 old felt hats and 4 scarves from which to choose, how many different hat/scarf outfits can he wear?

We solve this question using the fundamental counting principle.

This states that:

When we have two events, a and bthe number of ways both events can happen is a × b

From the above question, our two events is

a = 3 old felt hats

b = 4 scarves

Hence, the different hat/scarf outfits can he wear is given as

3 × 4 = 12 hat/scarf outfits

Treat

The question confuses me but treat starts with t, is an adjective, and rhymes with sweet

Answer: $68.80

Step-by-step explanation: the discount is 14% because it is subtracted from 20% and 0.14 x 80 is 68.80 hope this helps

Answer:

I would say Acute. The angle is definitely less than a right angle. Reflex angles are angles more than 180 degrees, but less than 360 degrees.

Answer:

I think it is Yes, SAS

Step-by-step explanation:

Answer:

4 2/5 tons

Step-by-step explanation:

2/5 = 4/10 = .40

4.40 tons > 4.3 tons

Answer:

I think I donot say it is correct only peridect 4cm*4cm*3cm*8cm=384cm

Answer:

18

Step-by-step explanation:

area of the square-->12

area of the triangle--->6

area of the square + area of the triangle = area of the trapezoid

12+6=area of the trapezoid

18 = area of the trapezoid

Answer:

Symmetric Property of Congruence

Step-by-step explanation:

Reflexive:

A ~= A

B ~= B

Symmetric:

A ~= B then B ~= A

Transitive:

If A ~= B and B ~= C, then A ~= C

Answer:

4.6%

Step-by-step explanation:

Cost of item __ sales tax

10 ___________0.46

50 __________ 2.30

5 ___________ 0.23

To obtain the sales tax % :

Sales tax % * cost of item = amount of sales tax

Let sales tax % = x

Using any of the rows in the table :

x * 10 = 0.46

x = 0.46 / 10

x = 0.046

x = (0.046) * 100% = 4.6%

Answer:

Podemos determinar la velocidad del automóvil mediante diferencias sucesivas tanto en el dominio del tiempo como en el dominio de la posición:

Dominio del tiempo

[tex]v_{i+1} = v_{i} + a_{i}\cdot \Delta t[/tex]

Dominio de la posición

[tex]v_{i+1} = \sqrt{v_{i}^{2}+2\cdot a_{i}\cdot \Delta s}[/tex]

Step-by-step explanation:

En este caso, es necesario tener una función que represente a esta en función del tiempo o de la posición si nos basamos en las definiciones diferenciales de aceleración ([tex]a(t)[/tex]), medida en metros por segundo al cuadrado, es:

[tex]a(t) = \frac{dv}{dt}[/tex] (1)

[tex]a(s) = v(t)\cdot \frac{dv}{ds}[/tex] (2)

Donde:

[tex]v(t)[/tex] - Velocidad del automóvil, medida en metros por segundo.

[tex]\frac{dv}{dt}[/tex] - Primera derivada de la velocidad con respecto al tiempo, medida en metros por segundo.

[tex]\frac{dv}{ds}[/tex] - Primera derivada de la velocidad con respecto a la posición, medida en [tex]\frac{1}{s}[/tex].

A continuación, analizamos cada ecuación:

Eq. 1

Procedemos a despejar la diferencial de velocidad e integramos la expresión resultante:

[tex]v_{f}-v_{o} = \int {a(t)} \, dt[/tex] (3)

[tex]v_{f} = v_{o}+\int {a(t)} \, dt[/tex]

Podemos obtener aproximaciones sucesivas al discretizar la ecuación anterior, es decir:

[tex]v_{i+1} = v_{i} + a_{i}\cdot \Delta t[/tex] (3b)

Eq. 2

Procedemos a despejar la velocidad e integramos la expresión resultante:

[tex]\int {v} \, dv = \int {a(t)} \, ds[/tex] (4)

[tex]\frac{1}{2}\cdot v_{f}^{2}-\frac{1}{2}\cdot v_{o}^{2} = \int {a(s)} \, ds[/tex]

[tex]\frac{1}{2}\cdot v_{f}^{2} = \frac{1}{2}\cdot v_{o}^{2}+\int {a(s)} \, ds[/tex]

[tex]v_{f}= \sqrt{v_{o}^{2}+2 \int {a(s)} \, ds }[/tex]

Podemos obtener aproximaciones sucesivas al discretizar la ecuación anterior, es decir:

[tex]v_{i+1} = \sqrt{v_{i}^{2}+2\cdot a_{i}\cdot \Delta s}[/tex] (4b)

Answer: Rhombus

=====================================================

Explanation:

The tickmarks show that all four sides are the same length. Therefore, this figure is a rhombus. It is not a square because the angle would need to be 90 degrees. We can say it is a non-square rhombus, or a rhombus that isn't a square. It is also not a rectangle either because all rectangles have each angle at 90 degrees.

Answer:

you have a line with slope = -1/3. A line perpendicular to that has to have slope that's the negative reciprocal, or 3.

So we have a slope and a point. The line in point-slope form is

(y-3) = 3(x-4).

You can convert that to another form if you need to

any more help just ask :)

Answer:

I looked it up and it said 0.5

Answer:

From smallest to largest

0.2, 1/2, 60%

Step-by-step explanation:

:)

Answer:

0.2, 1/2, 0.6/60%

Step-by-step explanation:

Answer:

lol

Step-by-step explanation:

hehhehehehhhheeeeehhhee u cant stop me

Answer:

try -14!

Step-by-step explanation:

4x+188=6x+216

x=-14

Answer:

x = -14

Step-by-step explanation:

To start since the angles are congruent then they must be equal to each other, so we start by setting them equal to each other. The equation will be 4x + 188 = 6x + 216

Next we solve for x, subtracting 188 and 6x from each side. The new equation will be

-2x = 28

Then divide both sides by negative 2 to get x = -14.

Answer:

GGGG

Step-by-step explanation:

GGGGG

Answer:

20

Step-by-step explanation:

Answer:

3 to 2, 6 to 4, 18 to 6, etc.

As long as you multiply 3 and 2 by the same number, you will get a correct answer to this problem.

Step-by-step explanation:

boys to girls

30 to 20

3 to 2

Answer:

x = 1

y = 6

Step-by-step explanation:

y = 6x   --------------(I)

7x - 8y = -41   ------------(II)

Substitute y =6x in equation (II)

7x - 8*(6x) = -41

7x - 48x    = -41   {Combine like terms}

     -41x = -41

          x = -41/-41

x = 1

Plug in x = 1 in equation (I)

y = 6*1

y = 6

Answer:

1202.5  miles

Step-by-step explanation:

It is given that.

A test of a new car shows it can drive 370 miles on 20 gallons of gas.

We need to find how far you could drive on 65 gallons of gas.

20 gallons of gas = 370 miles

1 gallon = 18.5 miles

For 65 gallons of gas, multiply 65 and 18.5.

65 gallons = 18.5 × 65 miles

= 1202.5  miles

Hence, 1202.5  miles you could drive on 65 gallons of the gas.

Answer: t=3.75

Step-by-step explanation:45=6t×2

6t=22.5

t=3.75

The object will take 3 seconds to fall 54 feet on Mercury according to the given function f(t) = 6t².

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

Given the function,

f(t) = 6t² where t is time in seconds while f(t) is the distance in feet.

At f(t) = 54 feet

6t² = 54

t² = 54/6 = 9

t = 3 seconds

Hence "The object will take 3 seconds to fall 54 feet on Mercury according to the given function f(t) = 6t²".

For more about the function,

brainly.com/question/23712366

#SPJ2

Answer: 6 × 4^x

Step-by-step explanation:

From the question, we are told that scientists released 6 rabbits into a new habitat in year 0 and that each year, there were four times as many rabbits as the year before.

The number of rabbits there after x years will be:

= 6 × 4^x

For example, let us say we want to calculate the number of rabbits after 2 years.

= 6 × 4^x

= 6 × 4²

= 6 × 16

= 96 rabbits

Answer:

x+y = 87

1.5x+0.5y = 78.5

Step-by-step explanation:

Let x = number of nachos sold and y = number of sodas sold

x+y = 87 because that's the total number of nachos and sodas he sold

1.5x+0.5y = 78.5 because nachos cost $1.50 and sodas cost $0.50 and David made a total of $78.50

Answer:

Step-by-step explanation:

Answer:

You can't even do that I'm pretty sure

Step-by-step explanation: Too many decimals points

Solution :

Given :

n = 200, p = 80% = 0.8, q = 1 - p = 0.2

[tex]$\mu = np$[/tex]

  [tex]$= 200 \times 0.8 = 160$[/tex]

[tex]$\sigma= \sqrt{npq}$[/tex]

[tex]$\sigma= \sqrt{200 \times 0.8 \times 0.2}$[/tex]

   = 5.6569

a). x = 169.5

∴ [tex]$z = \frac{x- \mu}{\sigma}$[/tex]

  [tex]$z = \frac{169.5- 160}{5.6569}$[/tex]

     = 1.6794

[tex]$P(x \geq 170) = P(z>1.6794) = 0.0465$[/tex]

Therefore, probability that the stolen goods were not recovered in 170 robberies or more is = 0.0465

b). x= 149.5

   [tex]$z = \frac{x- \mu}{\sigma}$[/tex]

   [tex]$z = \frac{149.5- 160}{5.6569} = -1.8561$[/tex]

[tex]$P(x \geq 150) = P(z>-1.8561) = 0.9683$[/tex]

Therefore the probability that the stolen goods were not recovered in the 150 or in more robberies is = 0.9683