18
Drag each label to the correct location on the tree diagram. Each label can be used more than once, but not all labels will be used.
Jolene can take elther of two roads to return home from school, road 1 or road 2. She can choose to walk, bike, or ride her scooter. She must
choose one road and one mode of travel. The sample space is given as a tree diagram. Complete the sample space.
road 1
scooter
walk
bike
walk
bike
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
returning home
road 2
2021 Edme
bike

Answer:

[tex]Distance = 38.57ft[/tex]

Step-by-step explanation:

Given

[tex]Base = 60[/tex]

[tex]\theta = 50[/tex]

Required

The distance between the top and John

The distance is calculated using:

[tex]sin\alpha = \frac{Distance}{Base}[/tex]

Where

[tex]\alpha = 90 - \theta[/tex] --- the angle between the diagonal line and the vertical line

[tex]\alpha = 90 - 50[/tex]

[tex]\alpha = 40[/tex]

So, we have:

[tex]Sin(40) = \frac{Distance}{60}[/tex]

[tex]Distance = 60 * sin(40)[/tex]

[tex]Distance = 60 * 0.6428[/tex]

[tex]Distance = 38.57ft[/tex]

[tex]Distance = 986 * tan(38)[/tex]

[tex]Distance = 986 * 0.7812[/tex]

[tex]Distance = 770ft[/tex] --- approximated

Answer:

You have to deposit $8,207.5 today.

Step-by-step explanation:

Compound interest:

The amount of money in yearly compounded interest, after t years, is given by the following equation:

[tex]A(t) = A(0)(1+r)^t[/tex]

In which A(0) is the initial deposit and r is the interest rate, as a decimal.

You would like to have $10,000 in an account after eight years time.

This means that when [tex]t = 8, A(t) = 10000[/tex]

2.5% compounded interest

This means that [tex]r = 0.025[/tex]

So

[tex]A(t) = A(0)(1+r)^t[/tex]

[tex]A(t) = A(0)(1+0.025)^t[/tex]

[tex]A(t) = A(0)(1.025)^t[/tex]

How much would you have to deposit today?

We have to find A(0), when [tex]t = 8, A(t) = 10000[/tex]. So

[tex]A(t) = A(0)(1.025)^t[/tex]

[tex]10000 = A(0)(1.025)^8[/tex]

[tex]A(0) = \frac{10000}{(1.025)^8}[/tex]

[tex]A(0) = 8207.5[/tex]

You have to deposit $8,207.5 today.

9514 1404 393

Answer:

  a) zeros: -2/3, 6

  b) x < -2/3, signs: -, -; sign of product: +

  -2/3 < x < 6, signs: +, -; sign of product: -

  x > 6, signs: + +; sign of product: +

  c) solution: x < -2/3 ∪ x > 6

Step-by-step explanation:

a) The zeros of the product are the values of x that make either factor zero. (A product is only zero if one of the factors is zero.)

  3x +2 = 0   ⇒   x = -2/3

  x -6 = 0   ⇒   x = 6

The zeros of the quadratic are x = -2/3 and x = 6.

__

b) For values of x left of the left-most zero, both factors are negative. For values of x between the zeros, the left factor is positive and the right factor is negative. For values of x greater than the right-most zero, both factors are positive. That is, for large negative values of x, all factors are negative. Working left-to-right, each time a zero is crossed, one factor changes sign.

__

c) The solution is where the signs of the factors match:

  x < -2/3 or -6 < x

Answer:

la verdad que depende de la situación

Answer:

More than 50 cups will land on its side.

Answer:

Option A

Step-by-step explanation:

From the picture attached,

In the given triangles ABC and ADC,

m(∠B) = m(∠D) [Given]

AC ≅ CA [Reflexive property]

But in the absence of third property of congruence ΔABC and ΔADC can't be congruent.

Option A is the answer.

answer:

he would use 3 cups of sugar and would need to multiply

step-by-step explanation:

6 X 1/2 = 3 cups of sugar

Answer:

angle k is equal to 58 and angle is equal to 60

Answer:

y = -3x + 5

Step-by-step explanation:

Since the y-intercept occurs at the point (0,5), you can use that and the point slope equation to find the equation.

This looks like y - 5 = -3 (x - 0);

Solving for y, you get y = -3x + 5;

To graph this equation you would put one point at (0,5), then use the slope to count down three and to the left one to find other points, or you could just plug in numbers for x to find their corresponding y values and plot it like that.

Hopefully this helps- let me know if you have any questions!

Answer:

43

Step-by-step explanation:

Answer: 18 questions

Step-by-step explanation:

First we want to make 60% a decimal so we divide by 100.

This gives us 0.6

Then we multiply 30*0.6=18

18 questions

Answer:

m<YVX = 49°

Step-by-step explanation:

Given:

m<YVZ = 52°

m<ZVW = 36°

m<XVU = 43°

m<YVX + m<YVZ + m<ZVW + m<XVU = 180° (angles in a straight line)

m<YVX + 52 + 36 + 43 = 180 (substitution)

m<YVX + 131 = 180

m<YVX = 180 - 131

m<YVX = 49°

Answer:

4 9/14

Step-by-step explanation:

Answer:

The answer is 4 9/14

Answer:

the answer to a is 25, im unsure what B is.

Step-by-step explanation:

hope this helps!!!

Answer:

question of number 10 is 3

Answer:

60

Step-by-step explanation:

trangles always equal 180 degrees on the inside angles

180-75-45 = 60

Answer:

d. distributive property

Step-by-step explanation:

Answer:

Capacity of tank = 44,000 l

Step-by-step explanation:

Given:

Height of tank = 3.5 m

Radius = 2 m

Find:

Capacity of tank

Computation:

Volume of cylinder = πr²h

Volume of cylinder = (22/7)(2)²(3.5)

Volume of cylinder = 44 m³

1m³ = 1000 l

So,

Capacity of tank = 44  x 1,000

Capacity of tank = 44,000 l

Answer:

y = 802

Step-by-step explanation:

Answer:

A. 12/13

Step-by-step explanation:

Remember SOH, CAH, TOA.

In this situation, the function is sine so sine= opposite/hypotenuse.

The side opposite of K is 12.

The hypotenuse is the longest side so it will be 13.

Therefore, sineK= 12/13(a)

Answer:

12/13

Step-by-step explanation:

Answer:

x3+2x2-17x+6.

Step-by-step explanation:

(x2+5x-2)(x-3)

= x(x2+5x-2)-3(x2+5x-2)

= x3 +5x2-2x-3x2-15x+6

Simplifying like terms:

= x3+2x2-17x+6

The farm raises some rabbits and native chickens. The number of native chickens is six times the number of rabbits, with a total of 560 feet. farm

Raised ? rabbit.​

Answer:

2 in 52                simplified- 1 in 26

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

(-5, 9)

Step-by-step explanation:

Answer:

60th position is the first child that gets all 3 items

Step-by-step explanation:

Find the LCM of 3 , 5 and 4.

Least common multiple of 3 , 4 and 5 = 3 * 4 * 5 = 60

Answer:

3,6,9,12,

4,8,12,16,

5,10,15,

in 60th position

60is the first number that can be divided by 60/3=20 60/4=15 60/5=12

Answer:

sin2θ = [tex]\frac{12}{13}[/tex]

Step-by-step explanation:

Since, sin2θ = 2sinθcosθ

From the triangle given in the picture,

Opposite side of angle θ = 2 units

Adjacent side of angle θ = 3 units

Hypotenuse = [tex]\sqrt{2^2+3^2}[/tex] = [tex]\sqrt{13}[/tex] [By Pythagoras theorem]

sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

       = [tex]\frac{2}{\sqrt{13}}[/tex]

cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

        = [tex]\frac{3}{\sqrt{13} }[/tex]

sin2θ = [tex]2\times (\frac{2}{\sqrt{13}})(\frac{3}{\sqrt{13}})[/tex]

         = [tex]\frac{12}{13}[/tex]

Answer:

2x-4

Step-by-step explanation:

5x-(4+3x)

5x-4-3x

5x-3x-4

2x-4