Solve for x. This figure is a trapezoid.
A) 12
B)9
C)3
D) 10

Answer:

1/36

Step-by-step explanation:

If a cube rolls and it landed on one it’s 1/6 if u rolled he same cube and got one too then it’s still 1/6 so now u just multiply them

Hope this helps

Answer:

1/36.

Step-by-step explanation:

Each event of a die being rolled is an independent event, which means that each time you roll the die does not affect the next time you roll it.

The probability of getting a 1 on the first roll is going to be 1/6, since there is only one 1 on the 6-sided die.

The probability of getting a 1 on the second roll is also going to be 1/6, for the same reason.

So, if both rolls are going to be 1s, the probability that will happen is (1/6) times (1/6), which is 1/36.

Hope this helps!

Answer:

the interest is 5.42

Step-by-step explanation:

Answer:

Interest = 5.42

Step-by-step explanation:

Answer: Yes

Step-by-step explanation:

To solve this, imagine you have a vertical line. You can use a ruler or something straight. Move the ruler across the screen. Does the ruler intersect 2 points at once? If so, then it is not a function. If it only intersects one point, then it is a function.

Always remember: a function cannot have two x's with different y-values.

Hope that helped!

Answer:

AC = 2.30

Step-by-step explanation:

Given: ΔABC, AC = BC, AB = 3 CD ⊥ AB , CD = [tex]\sqrt{3}[/tex].

Since CD ⊥ AB, thus CD divides AB into two equal parts.

From ΔACD, applying the Pythagoras theorem;

[tex]AC^{2}[/tex] = [tex]AD^{2}[/tex] + [tex]CD^{2}[/tex]

      = [tex]1.5^{2}[/tex] + [tex](\sqrt{3}) ^{2}[/tex]

      = 2.25 + 3

      = 5.25

AC = [tex]\sqrt{5.25}[/tex]

     = 2.2913

∴ AC = 2.30

Answer:

See below,

Step-by-step explanation:

Input         Output

B    H       Perimeter (2B + 2H)

3      1             8

5      3           16

14    12          52

I hope this helps.

Answer:

33.33 %

Step-by-step explanation:

Difference:

=> 27 - 18 = 9

%age Increase:

=> [tex]\frac{9}{27} * 100 %[/tex]

=> 33.33 %

Answer:

33.3 %

Step-by-step explanation:

The information regarding the moon should be explained below:

The following information should be considered:

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Answer:

D

Step-by-step explanation:

Answer:

y = 2x2 –12

Step-by-step explanation:

Answer:

He can sort the books by alphabetical order.

I would estimate around 5

Step-by-step explanation:

The number of the different ways that the books can be arranged will be 126126 and 6.

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

A clerk at a bookstore is restocking a shelf of best-selling novels. He has five copies each of three different novels.

Then the number of the different ways by which he can arrange the books on the shelf will be

⇒ 15! / (5! x 5! x 5! x 3!)

⇒ 126,126

Then the number of the different ways can these books be arranged on the shelf if the copies of the same novel must be grouped together will be

⇒ 3!

⇒ 6

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Answer:

A

Step-by-step explanation:

Answer:

Car 1 consumes 30 gallons of gas.

Car 2 consumes 20 gallons of gas.

Step-by-step explanation:

Answer:

2:3

Step-by-step explanation:

Area of rectangle A : 8x3 = 24

Area of rectangle B : 9x4 = 36

Area A : Area B = 24:36

Divide 24:36 by 12

= 2:3

The ratio of the area of Rectangle A to Rectangle B is 2:3.

The area of rectangle for a rectangle of length L and width W is given by

                                              A =  L* W

It is measured in square units.

A rectangle is a polygon with four sides, the opposite sides of the polygon is parallel and equal.

The Length of Rectangle A is 3

The Width of the Rectangle A is 8

The area of the rectangle A is 3 * 8

Area of the rectangle A = 24 sq.unit.

The Length of Rectangle B is 4

The Width of the Rectangle B is 9

The area of the rectangle B is 4 * 9

Area of the rectangle A = 36 sq.unit.

The ratio of the area of the rectangles A and B is,

= 24 / 36

= 12/18

= 6/9

= 2/3

Ratio ( area of Rectangle A : Rectangle B ) = 2:3.

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Answer:

Bruh.........................

Step-by-step explanation:

True statements: 1, 2, 3

Answer:

Second number line.

Step-by-step explanation:

Answer:

The correct answer is the second number line.

Step-by-step explanation:

Answer:

it would be 1/4 times 1/6

Step-by-step explanation:

Answer:1 2/4

Step-by-step explanation:

Answer:

third quadrant.

Step-by-step explanation:

The points of Quadrant I have both positive x and y values.

The points of Quadrant II have negative x and positive y values.

The points of Quadrant III have negative x and y values.

The points of Quadrant IV have positive x and negative y values.

Since -2 and -5 are negative the answer is Quadrant III.

Answer:

1425

Step-by-step explanation:

∑ 1 ^30 (3n+1)=4+7+10+... 30 terms

a=4

n=30

d=7-4=3

[tex]S_{30}=\frac{30}{2}[2 \times 4+(30-1) \times 3]\\=15[8+87]\\=15 \times 95\\=1425[/tex]

Answer:

1605

Step-by-step explanation:

hope this helps you guys on acellus

Answer:

A secant is a line that passes through the circle.

A tangent is a line that touches the circumference of the circle.

A chord is a line segment inside the circle.

A radius is a line segment inside the circle from the center to the circumference.

A diameter is a line segment inside the circle from one point of the circumference to another point of the circumference that includes the center.

Step-by-step explanation:

74+x+85+33= 180 (bc the sum of the angles of a triangle is 180º)

192=180-x

192-180=-x

12=-x

-12=x

Answer:

all real numbers less than or equal to 4

which agrees with the first answer option listed

Step-by-step explanation:

The parabola opening down means that its two branches go on towards negative values with no limit. The maximum y-value that this parabola can reach is therefore the y-value of its vertex which is 4, given that the vertex coordinates are (3, 4).

Therefore, the Range of y-values can have any real number that is smaller than or equal to 4

Answer:

  all real numbers less than or equal to 4

Step-by-step explanation:

The leading coefficient is negative, so the vertex is a maximum. The y-value of the vertex (4) is the upper limit of the range.

The range is all real numbers less than or equal to 4. (first choice)

Answer:

[tex]X\leq 11,200[/tex]

Step-by-step explanation:

We know the no more than is [tex]\leq[/tex]

To get this answer make 80% to decimal which is 0.80

Then multiply 0.80 by 14,000 to get 11,200

Then you put it all together as an inequality which gives you the answer.

This question bus incomplete because it lacks the appropriate options.

Complete Question

The total cost of a new calculator is

$81.05. This price includes a 10% student discount. Followed by a 6.5% sales tax. What was the original price of the calculator, not including the tax or the discount?

A. $77.69

B. $83.99

C. $78.80

D. $84.56

Answer:

D. $84.56

Step-by-step explanation:

From the question, we are given the following values

Total cost of a new calculator = $81.05

Student discount = 10%

Sales tax = 6.5%

The formula to use is

Total price = Original price ( 1 ± r)

Where r = rate of the discount or sales tax

Step 1

Find the original price of the calculator without the discount

Because we are calculating using discount we are using the minus sign

Total price = $81.05

r = 10% = 0.1

Total price = Original price ( 1 - r)

$81.05 = Original price (1 - 0.1)

$81.05 = Original Price × 0.9

Original price = $81.05÷ 0.9

= $90.055555556

Approximately, the original price without the 10% discount is $90.06

Step 2

Find the Original price without the sales tax

Because we are calculating using sales tax we are using the plus sign

Total price = $90.06

This is because the Original price without the discount = Current total price with sales tax for step 2

r = 6.5% = 0.065

Total price = Original price ( 1 + r)

$90.06 = Original price (1 + 0.065)

$90.06 = Original Price × 1.065

Original price = $90.06÷ 1.065

= $84.563380282

Approximately, the original price without the 10% discount and 6.5% sales tax is $84.56

Answer:

B - 150 yd

Step-by-step explanation:

Obviously the first step is to find the missing measurement. To do this, you use the Pythagorean theorem; a² + b² = c².

In this case, let's label the the missing side A, the height B, and the hypotenuse C.

X² + 15² = 25²

Then you must figure out what 15² and 25².

15² = 225

25² = 625

The next step is to subtract 15² (225) from 25² (625), which will give you the result of X².

625 - 225 = 400.

Now you know X² = 400, you can find the square root of 400 to give you the length of the triangle.

√400 = 20.

The missing length of the triangle is 20 yards.

Now it's just a matter of finding the area by using the formula;

A = [tex]\frac{bh}{2}[/tex]

Or,

(20 × 15) ÷ 2 = 150.

And there's your answer. Don't forget to add the units.

Answer: Zero

Explanation: For any horizontal or flat line, the slope is always 0.

Answer:

The number of path we can take to walk from A to B via a 7 unit path while staying on the grid is 35 paths

Step-by-step explanation:

Given that we are to walk via a 7 unit path, we have;

Path to walk = Right or Left from start point A

Total number of rights and left to get to point B from A must be 7

3 of the turns have to be in the left direction while 4 of the turns are right

Therefore, in 7 turns we have 4 in the right direction and 3 in the left direction which gives;

Number of ways for the first turn = 7, the next turn has 6 ways after that 5 and so on so we have;

7 × 6 × 5 × 4 × 3 × 2 × 1 out of which four are in the right direction in 4 × 3 × 2 × 1 ways and 3 are in the left direction in 3 × 2 × 1 ways, which gives the number of ways as follows;

[tex]Number \, of \, ways = \dfrac{7\times 6\times 5\times 4\times 3\times 2\times 1}{4\times 3\times 2\times 1 \times 3\times 2\times 1 } =\dfrac{5040}{144} = 35[/tex]

Therefore, there are 35 paths we can take to walk from A to B via a 7 unit path while staying on the grid.

Reflected over x axis => y=3(-x)

Reflected over y axis => y=-(3x)

Translated down 2     => y=3x-2

Translated right 2      => y=3(x-2)

Translated up 1        =>  y=3x+1

Translated left 1       =>  y=3(x+1)

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Answer:

A

Step-by-step explanation:

Let width  =w in

Length = 3w - 2 in

Perimeter of rectangle = 36 inches

2* (length + width ) = 36

2*(3w -2 + w) = 36

2* (4w -2 ) = 36

2*4w - 2*2 = 36

8w - 4 = 36

Add 4 to both sides

8w - 4 + 4 = 36 +4

           8w = 40

Divide both sides by 8

8w/8 = 40/8

w = 5

Width = 5 in

Answer:

Last option is the correct choice.

Step-by-step explanation:

d. (5,2).

The required solution to the system of inequalities [tex]2x+3y > 12, x -y\geq 1[/tex] is (5, 2). Option D is correct.

Given,
Systems of inequalities are given solution to inequalities to be determined.
[tex]\left \{ {{2x+3y > 12} \atop {x -y\geq 1}} \right.[/tex]

Inequality can be defined as the relation of an equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

[tex]\left \{ {{2x+3y > 12} \atop {x -y\geq 1}} \right.[/tex]
Here,
2x +3y = 12    - - - - - (1)
   x - y = 1      - - - - - -(2)
From equation 2
x = y + 1
Put x into equation 1
2( y + 1 ) + 3y = 12
2y + 2 + 3y = 12
5y = 12 -2
y =10/5
y = 2
Now put y = 2 in equation (1)
2x + 3(2) = 12
2x + 6 = 12
x = 3
It is to be verified that value of x should be greater or equal to 3 and y should be greater or equal to 2 in order to have the solution to a system of inequalities. i.e. x ≥3  and y ≥ 2. from observation of the option it is seen that option D (5, 2) has the required solution.          


Thus, the required solution to the system of inequalities [tex]2x+3y > 12, x -y\geq 1[/tex] is (5, 2). Option D is correct.

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