A straw is placed inside a rectangular box that is 10 inches by 8 inches by 2 inches, as

shown. If the straw fits exactly into the box diagonally from the bottom left corner to

the top right back corner, how long is the straw? Leave your answer in simplest

radical form.

The solution is 4 green

The probability of choosing a green counter from the bag is 0.2

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

Let the probability of choosing a green counter be = P

Now , the value of P is

Let the total number of blue counters be G = 2

Let the total number of green counters be G = 4

Let the total number of red counters be G = 5

Let the total number of yellow counters be G = 9

So , the total number of counters = number of blue counters + number of green counters + number of red counters + number of yellow counters

Substituting the values in the equation , we get

The total number of counters = 2 + 4 + 5 + 9

The total number of counters = 20

Now , the probability of choosing the green counter P = total number of green counters / total number of counters

Substituting the values in the equation , we get

Probability of choosing the green counter P = 4/20

Probability of choosing the green counter P = 2/10

Probability of choosing the green counter P = 0.2

Therefore , the value of P is 0.2

Hence , the probability of choosing green counter is 0.2

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Answer:

NO

Step-by-step explanation: No because 3 times 5 is 15 plus 9 will be 24 not 18.

Answer:

x=3

Step-by-step explanation:

(x-3)2=0

= 2x-6=0

= 2x=6

= x=3

Answer:

thw answer is x=3

Step-by-step explanation:

hoped I helped:)

Answer:

The figure is a straight line.

The figure lies in the first and the third quadrants.

Step-by-step explanation:

Take five ordered pairs as [tex](1,1),(2,2),(-1,-1),(-2,-2),(3,3)[/tex]

Here, the first and second coordinates are equal.

Now, plot these points and connect them.

From the graph, it can be observed that the figure is a straight line.

Also, the figure lies in the first and the third quadrants.

Answer:

A) (a+2)(a-2)

Step-by-step explanation:

The answer is A.

Answer:

This shape is called triangle

Answer:

8inches

Step-by-step explanation:

Length of the third side = perimeter - ( side1 + side2 )

                                       = 17 - (5+4)

                                       = 17 - 9

                                       = 8 inches

a

Step-by-step explanation:

Answer:

.........(loading)....................

Step-by-step explanation:

...........................

Answer:

16

Step-by-step explanation:

replace a with 2 and b with 3 in the expression and solve as follows

(2 + 5)-3 / 3-4 + 2(3+3)/ 2

7 - 3/-1 +12/2

14 + 6 +12/2

32 / 2

16

Step-by-step explanation:

r = 7x + 7y

8 = 7x + 7 ×2

8 = 7x + 14

7x = 14 - 8

7x = 6

X = 6 / 7

Answer:

it's clear right

Step-by-step explanation:

i hope it's helps

Answer:

Hello here is my answer

Step-by-step explanation:

The 2 ratios are 15:10 and 10:15

multiply the numbers of the first ratio with the last number if the second ratio, which means,

15*15=225

10*15=150

we get 225:150

now we multiply the numbers of the second ratio with the last number if the first ratio.which means,

10*10=100

15*10= 150

now compare bot of them

225:150::100:150

we see that 225:150>100:150

hence proven that 15:10 is not equal to 10:15

California is at higher risks for earthquakes, because it near the Pacific Ocean

Answer:  the square root of 99 lies somewhere between 9.9 and 10.

Step-by-step explanation:

Answer:9 and 10

Step-by-step explanation:

it was hw

Answer:

its c

Step-by-step explanation:

i did the test

The first equation should be multiplied by 7 and the second equation by -6. The correct option is C.

In mathematics, an expression is a group of symbols (variables, constants, and mathematical operations) used to represent a quantity or a relationship between two numbers.

In order to eliminate the x terms and find y in the fewest steps feasible, the equations should be multiplied by constants such that the coefficient of x in one equation is equal to the negative coefficient of x in the other.

The coefficients of x in the first and second equations in this situation are 6 and 7, respectively. To make these coefficients opposite in sign, we can multiply the first equation by 7 and the second equation by -6.

The correct solution is obtained by multiplying the first equation by 7 and the second equation by -6.

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Answer:

D) [tex]\frac{-3}{2}[/tex]

The slope of the line m =  [tex]\frac{-3}{2}[/tex]

Step-by-step explanation:

Step(i):-

Given that the points are (-4,10) and (4,-2)

we have to find that the slope of the line

Step(ii):-

Solution:-

                   [tex]m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

                  [tex]m = \frac{-2-10}{4-(-4) }[/tex]

                 [tex]m = \frac{-12}{8} = \frac{-3}{2}[/tex]

Final answer:-

The slope of the line m =  [tex]\frac{-3}{2}[/tex]

Answer:

x = 20°

y = 160°

z = 160°

Step-by-step explanation:

x = 20°

(Measure of arc is equal to the measure of its corresponding central angle)

z = 180° - 20°

(Linear pair angles)

z = 160°

y = z

(Measure of arc is equal to the measure of its corresponding central angle)

y = 160°

Answer:

( -1 , -2 )

Step-by-step explanation:

Answer:

I'm

Step-by-step explanation:

does this question make any sense ?

Answer:

No cakes.

Step-by-step explanation:

5/60= 12. 1hr=60 mins. 60/3=20. 20 mins=1 cake.

Answer:

a = -9

Step-by-step explanation:

a+(-4)=-13

add 4 to each side

a-4+4 = -13+4

a = -9

Answer:

a = - 9

Step-by-step explanation:

a  + (-4) = -13

Add  4 to both sides

a + (-4) + 4 = -13 + 4

       a + 0 = -9

        a = -9

When two numbers have different sign, subtract and the result will have the sign of the bigger number

Answer:

14w + 14y - 28

Step-by-step explanation:

-7(-2w - 2y + 4)

Distributive:

14w + 14y - 28

good luck, hope this helps :)

Answer:

x = -3

y = 4

Step-by-step explanation:

distribute first

7x + 35 = 2y + 6

combine 'like terms'

7x - 2y = -29

do same steps for second equation

4x + 4y = 13 + 3x

x + 4y = 13

System of Equations:

7x - 2y = -29

x + 4y = 13

Multiply the first equation by 2 to eliminate the 'y-term'

  14x - 4y = -58    (Now add this to the second equation)

+  x + 4y = 13

  15x = -45

x = -3

Substitute -3 for 'x' to find 'y'

-3 + 4y = 13

4y = 16

y = 4

The factorization of the given trinomial [tex]x^2 - 9x+ 20[/tex] is (x – 4)(x - 5). The correct option is A.

A trinomial is a polynomial that has three terms. To factor a trinomial of the form [tex]ax^2 + bx + c[/tex], you need to find two binomials that multiply together to produce the original trinomial.

To factor the trinomial [tex]x^2 - 9x + 20[/tex], we need to find two numbers that multiply to 20 and add up to -9. These two numbers are -4 and -5. Therefore, we can write:

[tex]x^2 - 9x + 20 = (x - 4)(x - 5)[/tex]

Or, To factor [tex]x^2 - 9x + 20[/tex], you need to find two numbers that multiply to 20 and add up to -9. These numbers are -4 and -5 because -4*(-5) = 20 and -4 + (-5) = -9.

You can factor the trinomial as (x - 4)(x - 5).

Thus, the correct option is A.

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Answer:

Y=-2

Step-by-step explanation:

You would use the vertex form to find the directrix

The directrix is a horizontal line that is y = -2.

Option C is the correct answer.

A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.

The equation of a parabola:

y = a(x-h)^2 + k

We have,

The directrix of the parabola with equation x^2 = 8y is a horizontal line, and its distance from the vertex is equal to the value of the parameter p.

To find the value of p, we need to rewrite the equation of the parabola in the standard form:

x² = 8y

Dividing both sides by 8, we get:

x²/8 = y

Comparing this equation to the standard form of a parabola with a horizontal axis of symmetry, which is given by (y-k)² = 4p (x-h), we can see that h = 0, k = 0, and p = 2.

Therefore,

The directrix is a horizontal line that is 2 units below the vertex, which is located at (0,0).

i.e

y = -2.

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Answer:

x= -8

Step-by-step explanation: