Hannah takes a sheet of paper and cuts from one corner to the opposite corner, making two triangles. If the length of the cut is 12inches and the paper is 8 inches long, what is the width of the sheet of paper (nearest tenth)?

The true statement is (b) the random variable is x, the possible values are 0 to 3 and the values are numerical

The table is added as an attachment

From the attached image, we have:

Number of girls (x)          P(x)

0                                         0.125

1                                         0.375

2                                         0.375

3                                         0.125

In the above, the random variable is x, while P(x) represents its probabilities.

Also, the possible values are 0 to 3 as shown in the table.

0 to 3 are numerical digits, and the values are numerical

Hence, the true statement is (b)

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Answer:

The answer is x=8

Step-by-step explanation:

hope that helps

9x+89=161

9x+89−89=161−89

9x=72

9x/9=72/9

x=8

Answer:

x = 8

Step-by-step explanation:

We just need to solve for x!

Here is a step-by-step process:

9x + 89 = 161

Subtract 89 from both sides

9x = 72

Divide both sides by 9

x = 8

The most the salon would be willing to pay that groomer is $25×4 = $100.

The unitary method is a technique that determines the worth of a single unit from value of multiple units, as well as the quality of multiple units from value of a single unit.

Some key features regarding the unitary method are-

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Answer:

Use the following formula:

\(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

Step-by-step explanation:

Use "change in y over change in x"

-> See attached for more

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

We have proved that Angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

To prove that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, we can use the following steps:

Step 1: Join points A and C with a line segment. Let's label the point where AC intersects with line segment BD as point E.

Step 2: Since line segment AC is drawn, we can consider triangle ABC and triangle ADC separately.

Step 3: In triangle ABC, we have angle B + angle ABC + angle BCA = 180 degrees (due to the sum of angles in a triangle).

Step 4: In triangle ADC, we have angle D + angle ADC + angle CDA = 180 degrees.

Step 5: From steps 3 and 4, we can deduce that angle B + angle ABC + angle BCA + angle D + angle ADC + angle CDA = 360 degrees (by adding the equations from steps 3 and 4).

Step 6: Consider quadrilateral ABED. The sum of angles in a quadrilateral is 360 degrees.

Step 7: In quadrilateral ABED, we have angle BAD + angle ABC + angle BCD + angle CDA = 360 degrees.

Step 8: Comparing steps 5 and 7, we can conclude that angle B + angle BCD + angle D = angle BAD + angle ABC + angle ADC.

Step 9: Rearranging step 8, we get angle BCD = angle BAD + angle ABC + angle ADC.

Therefore, we have proved that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

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Given: Quadrilateral \(\displaystyle\sf ABCD\)

To prove: \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\)

Proof:

1. Draw segment \(\displaystyle\sf AC\) and extend it to point \(\displaystyle\sf E\).

2. Consider triangle \(\displaystyle\sf ACD\) and triangle \(\displaystyle\sf BCE\).

3. In triangle \(\displaystyle\sf ACD\):

4. In triangle \(\displaystyle\sf BCE\):

5. Since \(\displaystyle\sf \angle BCE\) and \(\displaystyle\sf \angle BCD\) are corresponding angles formed by transversal \(\displaystyle\sf BE\):

6. Combining the equations from steps 3 and 4:

Therefore, we have proven that in quadrilateral \(\displaystyle\sf ABCD\), \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

257 km.          857 km.

Step-by-step explanation:

The approximate difference between the volumes of a men's basketball and a women's basketball can be calculated by finding the difference in their respective volumes.

For men's basketball, the radius is half of the diameter, which is 10 inches / 2 = 5 inches. Plugging this value into the formula, we get \(V_{men} = (4/3)\pi (5^3)\\ \\= (4/3)\pi (125)\\ \\=523.6 \:cubic\: inches\)

For women's basketball, the radius is half of the diameter, which is 9 inches / 2 = 4.5 inches. Plugging this value into the formula, we get \(V_{women} = (4/3)\pi (4.5^3) \\\\=(4/3)\pi (91.125) \\ \\=381.7 \:cubic\: inches\)

The approximate difference in volume is,

\(V_{men} - V_{women} = 523.6 - 381.7 \\\\= 141.9 \:cubic\: inches\)

Therefore, the approximate difference in their volumes is 141.9 cubic inches, which corresponds to the option \(141.9 in^3\).

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The probability (>6)?" is 0.

The probability of an event occurring is the ratio of the number of favorable outcomes to the total number of possible outcomes. In this case, the event is rolling a number greater than 6 on a standard six-sided die.

Since there are no numbers greater than 6 on a six-sided die, the number of favorable outcomes is 0. The total number of possible outcomes is 6 (the numbers 1 through 6 on the die).

Therefore, the probability of rolling a number greater than 6 is 0/6, or 0. In other words,

it is impossible to roll a number greater than 6 on a standard six-sided die. So, the answer to the question "what is the probability (>6)?" is 0.

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Answer:

2x-y+2= 0

Step-by-step explanation:

(-5,-2)=(x1, y1)

(3, 14) =(x2, y2)

now,

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

=14+2 / 3+5

= 16 /8

=2 units

passing point = (-5,-2) = x1,y1

now,

eqn of the line can be represented as,

y -y1 = m (x-x1)

y +2 = 2 (x +5)

y+2 = 2x +10

y = 2x+10-8

0 = 2x+2-y

2x-y+2 =0 is the required eqn

Answer:

licker 90000000000000000

Answer:

3. 9+2x=3x-2

x=11

4. 11x-3=9+5x

x=2

5. 7x-4=3x-12

x=-2

6. 9x-12=4x-8

x=1.25

Answer:

42/14

Step-by-step explanation:

division is multiplication by its reciprocal so its gonna be 6/7x7/2=42/14

(simplify of course)

Answer:

6 times

Step-by-step explanation:

Given the proportuonal relationship between exists between the number times Linda pedals (x) and the number of times wheels rotate (y) as ;

y = 3x

How many times do the wheels rotate when Linda pedals 2 times

Here, x = 2

From ; y = 3x

y = 3(2) = 6

Hence, wheel rotates 6 times.

Answer:

Step-by-step explanation:

The line integral ∫CF⃗ ⋅ dr⃗ is calculated for the vector field F⃗ = ∇(3x² + 5y⁴) along a quarter of a circle in the first quadrant.

To evaluate the line integral, we first parametrize the quarter of a circle in the first quadrant using polar coordinates. The parametric equations are x = 3cosθ and y = 3sinθ, where θ ranges from 0 to π/2. We then calculate the differential of the position vector, dr⃗, and find the dot product F⃗ ⋅ dr⃗, where F⃗ is the gradient of the scalar field 3x² + 5y⁴.

After substituting the parametric equations and simplifying, we obtain (-18cosθsinθ + 540sin³θcosθ)dθ. Finally, we integrate this expression with respect to θ over the range [0, π/2] to find the value of the line integral.

The result of the integral represents the accumulated effect of the vector field along the quarter of the circle in the first quadrant.

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Answer:

Step-by-step explanation:

Solution

Start with the product

The product is 7*x where x is a number but not specified.

Now add 6

Answer: 7x + 6      

This cannot be simplified any more than what it is now.

Represent the following sentences as an algebraic expression:

Assuming:

6 is added to the product of 7 and a number.

Product : 7 × x = 7x

Now we will add 6.

Add : 7x + 6.

Final Answer:

7x + 6.

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Over the line y = x, a function and its inverse are reflected. It only takes one step to graph a function and its inverse: first, graph the function, then, to graph the inverse, switch all x and y values at each point.

Given,

Inverse function;

A function that can reverse into another function is known as an inverse function or anti function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y. When a function is written as "f" or "F," its inverse is written as "f-1" or "F-1."

Here,

To graph the inverse, you only need to alter the x and y values in each point on the function graph. Just take a look at all the numbers that are being reflected along the line y = x as they move from the f(x) function to its inverse g(x) and back again.

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Answer:

oak island treasure is deeper in the ground

The number of hours that it will take 24 people in making the boxed lunches on the task would be = 5 hours

The relationship that exists between the number of boxes lunches and the number of people is an inverse relationship.

That is 200 inversely related 1/number of people

That is;

200 × number of people = k

Therefore, 15 people (N1)= 8 hours(T1)

24 people (N2)= X hours(T2)

using the constant of the inverse relationship above;

N1T1 = N2T2

15×8 = 24 × X

X = 15×8/24

X = 120/24

X = 5 hours.

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Answer:

d

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

AC² + BC² = AB² , that is

x² + x² = (12\(\sqrt{2}\) )²

2x² = 288 ( divide both sides by 2 )

x² = 144 ( take the square root of both sides )

x = \(\sqrt{144}\) = 12

Answer:

The equation of the line with slope = 4 and point (-5, -13)

will be:

Step-by-step explanation:

Given

As the point-slope form of the equation of line is

\(y-y_1=m\left(x-x_1\right)\)

where m is the slope.

substituting the values m = 4 and the point (-5, -13)

\(y-y_1=m\left(x-x_1\right)\)

\(y-\left(-13\right)=4\left(x-\left(-5\right)\right)\)

\(y+13=4\left(x+5\right)\)

subtract 13 from both sides

\(y+13-13=4\left(x+5\right)-13\)

\(y=4x+7\)

Therefore, the equation of the line with slope = 4 and point (-5, -13)

will be:

\(y=4x+7\)

Answer:

0.0021

Step-by-step explanation:

move decimal three to the left

Answer:

1,2,3,4,6,8,12,24,48.

Step-by-step explanation:

SO TO FIND THE FACTOR OF 48 YOU WILL NEED TO FIND TWO NUMBERS THAT CAN MULTIPLY EACH OTHER AND GIVE A PRODUCT OF 48

1×48=48(Any number multiplied by 1 is the number itself and 1 multiplied by 48 is 48 so it makes it a factor)

2×24=48(Here you can clearly see that when 2 is multiplied by 24 the product is 48 so 2 and 24 becomes a factor of 48)

3×16=48(So getting the product 48 by multiplying 3 and 16 3 and 16 becomes a factor of 48)

4×12=48(You can see that when you multiply 4 by 12 the product is 48 so 4 and 12 becomes a factor of 48)

5×?=48(You can't get any number to multiply by 5 to get 48 so the number 5 is not a factor of 48)

6×8=48(With this you can see that when 6 is multiplied by 8 its product is 48 so it becomes a factor of 48)

So The Factors We Got After We Multiplied The Two Numbers Are As Follows;

1 and 48

2 and 24

3 and 16

4 and 12

So the above numbers becomes the factor of 48

So the factors of 48 are: 1,2,3,4,6,8,12,24,48.

Mike is 40 years old now.

Let Al's age be x years. According to the problem statement,

Al was 2 years old 8 years ago.

Therefore, Al's present age is:x + 8 years

Now, Mike is 4 times older than Al. That is, the age of Mike is 4(x + 8) years.

Mike is now 4 times older than Al, if Al was 2 years old 8 years ago, then Mike is 36 years old now.

In order to verify the solution, you can use a direct method of substitution.

If Al's present age is x + 8, then his age 8 years ago was x + 8 - 8 = x.

Since Al was 2 years old 8 years ago, we have:x = 2

Therefore, Al's present age is:x + 8 = 2 + 8 = 10 years

Now, Mike is 4 times older than Al.

Therefore, Mike's age is 4 × 10 = 40 years.

This is consistent with the original statement that "Mike is now 4 times older than Al if Al was 2 years old 8 years ago".Therefore, Mike is 40 years old now.

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Answer:

a

Step-by-step explanation:

Answer: the cost of the sketch notebook is $4.85.

Step-by-step explanation:

Answer:

Coupon second discount = 200 off

Step-by-step explanation:

Given:

Price of laptop = $1,313

Coupon first discount = 15% off

Coupon second discount = 200 off

Find:

Choose coupon get the bigger discount

Computation:

Coupon first discount = 15% off

Coupon first discount = 1,313 x 15%

Coupon first discount = $196.95

So,

Coupon second, for get the bigger discount

In this scenario, the appropriate inference procedure would be the two-sample t-test for the difference between means.

Based on the given information, you would use a "two-sample t-test for the difference between two means" to estimate the difference in the average amount of TV watched by high school and college students. This procedure is suitable because you have separate random samples from two distinct groups and you're comparing their means.

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Answer:

\(648\sqrt{6}\)π

Step-by-step explanation:

\(\frac{4}{3}\)π(9√6)³

=\(\frac{4}{3}\)π81*6*√6

=(486*\(\frac{4}{3}\))√6π

=648√6π